walmartBuzCase.ipynb

{
 "cells": [
  {
   "cell_type": "code",
   "execution_count": 1,
   "id": "3f372f97-8e18-4e96-961b-a46434c1fdd9",
   "metadata": {},
   "outputs": [],
   "source": [
    "import pandas as pd\n",
    "import numpy as np\n",
    "import matplotlib.pyplot as plt\n",
    "import seaborn as sns\n",
    "from scipy.stats import norm"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 2,
   "id": "3a5f3b3e-2d44-4f88-a8ef-01f6174b0c1a",
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/html": [
       "<div>\n",
       "<style scoped>\n",
       "    .dataframe tbody tr th:only-of-type {\n",
       "        vertical-align: middle;\n",
       "    }\n",
       "\n",
       "    .dataframe tbody tr th {\n",
       "        vertical-align: top;\n",
       "    }\n",
       "\n",
       "    .dataframe thead th {\n",
       "        text-align: right;\n",
       "    }\n",
       "</style>\n",
       "<table border=\"1\" class=\"dataframe\">\n",
       "  <thead>\n",
       "    <tr style=\"text-align: right;\">\n",
       "      <th></th>\n",
       "      <th>User_ID</th>\n",
       "      <th>Product_ID</th>\n",
       "      <th>Gender</th>\n",
       "      <th>Age</th>\n",
       "      <th>Occupation</th>\n",
       "      <th>City_Category</th>\n",
       "      <th>Stay_In_Current_City_Years</th>\n",
       "      <th>Marital_Status</th>\n",
       "      <th>Product_Category</th>\n",
       "      <th>Purchase</th>\n",
       "    </tr>\n",
       "  </thead>\n",
       "  <tbody>\n",
       "    <tr>\n",
       "      <th>0</th>\n",
       "      <td>1000001</td>\n",
       "      <td>P00069042</td>\n",
       "      <td>F</td>\n",
       "      <td>0-17</td>\n",
       "      <td>10</td>\n",
       "      <td>A</td>\n",
       "      <td>2</td>\n",
       "      <td>0</td>\n",
       "      <td>3</td>\n",
       "      <td>8370</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>1</th>\n",
       "      <td>1000001</td>\n",
       "      <td>P00248942</td>\n",
       "      <td>F</td>\n",
       "      <td>0-17</td>\n",
       "      <td>10</td>\n",
       "      <td>A</td>\n",
       "      <td>2</td>\n",
       "      <td>0</td>\n",
       "      <td>1</td>\n",
       "      <td>15200</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>2</th>\n",
       "      <td>1000001</td>\n",
       "      <td>P00087842</td>\n",
       "      <td>F</td>\n",
       "      <td>0-17</td>\n",
       "      <td>10</td>\n",
       "      <td>A</td>\n",
       "      <td>2</td>\n",
       "      <td>0</td>\n",
       "      <td>12</td>\n",
       "      <td>1422</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>3</th>\n",
       "      <td>1000001</td>\n",
       "      <td>P00085442</td>\n",
       "      <td>F</td>\n",
       "      <td>0-17</td>\n",
       "      <td>10</td>\n",
       "      <td>A</td>\n",
       "      <td>2</td>\n",
       "      <td>0</td>\n",
       "      <td>12</td>\n",
       "      <td>1057</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>4</th>\n",
       "      <td>1000002</td>\n",
       "      <td>P00285442</td>\n",
       "      <td>M</td>\n",
       "      <td>55+</td>\n",
       "      <td>16</td>\n",
       "      <td>C</td>\n",
       "      <td>4+</td>\n",
       "      <td>0</td>\n",
       "      <td>8</td>\n",
       "      <td>7969</td>\n",
       "    </tr>\n",
       "  </tbody>\n",
       "</table>\n",
       "</div>"
      ],
      "text/plain": [
       "   User_ID Product_ID Gender   Age  Occupation City_Category  \\\n",
       "0  1000001  P00069042      F  0-17          10             A   \n",
       "1  1000001  P00248942      F  0-17          10             A   \n",
       "2  1000001  P00087842      F  0-17          10             A   \n",
       "3  1000001  P00085442      F  0-17          10             A   \n",
       "4  1000002  P00285442      M   55+          16             C   \n",
       "\n",
       "  Stay_In_Current_City_Years  Marital_Status  Product_Category  Purchase  \n",
       "0                          2               0                 3      8370  \n",
       "1                          2               0                 1     15200  \n",
       "2                          2               0                12      1422  \n",
       "3                          2               0                12      1057  \n",
       "4                         4+               0                 8      7969  "
      ]
     },
     "execution_count": 2,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "df = pd.read_csv('walmart_data.csv')\n",
    "df.head()"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 3,
   "id": "f1c796a6-9335-4d31-afe7-4f52be93a500",
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "(550068, 10)"
      ]
     },
     "execution_count": 3,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "df.shape"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 4,
   "id": "43a91c57-e527-47ef-80ba-2876290a3be2",
   "metadata": {},
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "<class 'pandas.core.frame.DataFrame'>\n",
      "RangeIndex: 550068 entries, 0 to 550067\n",
      "Data columns (total 10 columns):\n",
      " #   Column                      Non-Null Count   Dtype \n",
      "---  ------                      --------------   ----- \n",
      " 0   User_ID                     550068 non-null  int64 \n",
      " 1   Product_ID                  550068 non-null  object\n",
      " 2   Gender                      550068 non-null  object\n",
      " 3   Age                         550068 non-null  object\n",
      " 4   Occupation                  550068 non-null  int64 \n",
      " 5   City_Category               550068 non-null  object\n",
      " 6   Stay_In_Current_City_Years  550068 non-null  object\n",
      " 7   Marital_Status              550068 non-null  int64 \n",
      " 8   Product_Category            550068 non-null  int64 \n",
      " 9   Purchase                    550068 non-null  int64 \n",
      "dtypes: int64(5), object(5)\n",
      "memory usage: 42.0+ MB\n"
     ]
    }
   ],
   "source": [
    "df.info()"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 5,
   "id": "fdd2d02e-376c-4db4-aba6-2fc5068247d0",
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "User_ID                       0\n",
       "Product_ID                    0\n",
       "Gender                        0\n",
       "Age                           0\n",
       "Occupation                    0\n",
       "City_Category                 0\n",
       "Stay_In_Current_City_Years    0\n",
       "Marital_Status                0\n",
       "Product_Category              0\n",
       "Purchase                      0\n",
       "dtype: int64"
      ]
     },
     "execution_count": 5,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "df.isnull().sum()"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "3b7b0b02-8036-404c-b284-b100a0fbe18c",
   "metadata": {},
   "source": [
    "## Outliers for Product_category columns"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 6,
   "id": "4d6237f3-3898-4ec2-98dd-34b81969ed27",
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "<Axes: xlabel='Product_Category'>"
      ]
     },
     "execution_count": 6,
     "metadata": {},
     "output_type": "execute_result"
    },
    {
     "data": {
      "image/png": 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",
      "text/plain": [
       "<Figure size 640x480 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "sns.boxplot(data = df, x = 'Product_Category')"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 7,
   "id": "764f25f7-dc66-4822-9814-f810c7da0e70",
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/html": [
       "<div>\n",
       "<style scoped>\n",
       "    .dataframe tbody tr th:only-of-type {\n",
       "        vertical-align: middle;\n",
       "    }\n",
       "\n",
       "    .dataframe tbody tr th {\n",
       "        vertical-align: top;\n",
       "    }\n",
       "\n",
       "    .dataframe thead th {\n",
       "        text-align: right;\n",
       "    }\n",
       "</style>\n",
       "<table border=\"1\" class=\"dataframe\">\n",
       "  <thead>\n",
       "    <tr style=\"text-align: right;\">\n",
       "      <th></th>\n",
       "      <th>User_ID</th>\n",
       "      <th>Product_ID</th>\n",
       "      <th>Gender</th>\n",
       "      <th>Age</th>\n",
       "      <th>Occupation</th>\n",
       "      <th>City_Category</th>\n",
       "      <th>Stay_In_Current_City_Years</th>\n",
       "      <th>Marital_Status</th>\n",
       "      <th>Product_Category</th>\n",
       "      <th>Purchase</th>\n",
       "    </tr>\n",
       "  </thead>\n",
       "  <tbody>\n",
       "    <tr>\n",
       "      <th>545915</th>\n",
       "      <td>1000001</td>\n",
       "      <td>P00375436</td>\n",
       "      <td>F</td>\n",
       "      <td>0-17</td>\n",
       "      <td>10</td>\n",
       "      <td>A</td>\n",
       "      <td>2</td>\n",
       "      <td>0</td>\n",
       "      <td>20</td>\n",
       "      <td>612</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>545916</th>\n",
       "      <td>1000002</td>\n",
       "      <td>P00372445</td>\n",
       "      <td>M</td>\n",
       "      <td>55+</td>\n",
       "      <td>16</td>\n",
       "      <td>C</td>\n",
       "      <td>4+</td>\n",
       "      <td>0</td>\n",
       "      <td>20</td>\n",
       "      <td>119</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>545917</th>\n",
       "      <td>1000004</td>\n",
       "      <td>P00375436</td>\n",
       "      <td>M</td>\n",
       "      <td>46-50</td>\n",
       "      <td>7</td>\n",
       "      <td>B</td>\n",
       "      <td>2</td>\n",
       "      <td>1</td>\n",
       "      <td>20</td>\n",
       "      <td>481</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>545918</th>\n",
       "      <td>1000006</td>\n",
       "      <td>P00375436</td>\n",
       "      <td>F</td>\n",
       "      <td>51-55</td>\n",
       "      <td>9</td>\n",
       "      <td>A</td>\n",
       "      <td>1</td>\n",
       "      <td>0</td>\n",
       "      <td>20</td>\n",
       "      <td>480</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>545919</th>\n",
       "      <td>1000007</td>\n",
       "      <td>P00372445</td>\n",
       "      <td>M</td>\n",
       "      <td>36-45</td>\n",
       "      <td>1</td>\n",
       "      <td>B</td>\n",
       "      <td>1</td>\n",
       "      <td>1</td>\n",
       "      <td>20</td>\n",
       "      <td>241</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>...</th>\n",
       "      <td>...</td>\n",
       "      <td>...</td>\n",
       "      <td>...</td>\n",
       "      <td>...</td>\n",
       "      <td>...</td>\n",
       "      <td>...</td>\n",
       "      <td>...</td>\n",
       "      <td>...</td>\n",
       "      <td>...</td>\n",
       "      <td>...</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>550063</th>\n",
       "      <td>1006033</td>\n",
       "      <td>P00372445</td>\n",
       "      <td>M</td>\n",
       "      <td>51-55</td>\n",
       "      <td>13</td>\n",
       "      <td>B</td>\n",
       "      <td>1</td>\n",
       "      <td>1</td>\n",
       "      <td>20</td>\n",
       "      <td>368</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>550064</th>\n",
       "      <td>1006035</td>\n",
       "      <td>P00375436</td>\n",
       "      <td>F</td>\n",
       "      <td>26-35</td>\n",
       "      <td>1</td>\n",
       "      <td>C</td>\n",
       "      <td>3</td>\n",
       "      <td>0</td>\n",
       "      <td>20</td>\n",
       "      <td>371</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>550065</th>\n",
       "      <td>1006036</td>\n",
       "      <td>P00375436</td>\n",
       "      <td>F</td>\n",
       "      <td>26-35</td>\n",
       "      <td>15</td>\n",
       "      <td>B</td>\n",
       "      <td>4+</td>\n",
       "      <td>1</td>\n",
       "      <td>20</td>\n",
       "      <td>137</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>550066</th>\n",
       "      <td>1006038</td>\n",
       "      <td>P00375436</td>\n",
       "      <td>F</td>\n",
       "      <td>55+</td>\n",
       "      <td>1</td>\n",
       "      <td>C</td>\n",
       "      <td>2</td>\n",
       "      <td>0</td>\n",
       "      <td>20</td>\n",
       "      <td>365</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>550067</th>\n",
       "      <td>1006039</td>\n",
       "      <td>P00371644</td>\n",
       "      <td>F</td>\n",
       "      <td>46-50</td>\n",
       "      <td>0</td>\n",
       "      <td>B</td>\n",
       "      <td>4+</td>\n",
       "      <td>1</td>\n",
       "      <td>20</td>\n",
       "      <td>490</td>\n",
       "    </tr>\n",
       "  </tbody>\n",
       "</table>\n",
       "<p>4153 rows × 10 columns</p>\n",
       "</div>"
      ],
      "text/plain": [
       "        User_ID Product_ID Gender    Age  Occupation City_Category  \\\n",
       "545915  1000001  P00375436      F   0-17          10             A   \n",
       "545916  1000002  P00372445      M    55+          16             C   \n",
       "545917  1000004  P00375436      M  46-50           7             B   \n",
       "545918  1000006  P00375436      F  51-55           9             A   \n",
       "545919  1000007  P00372445      M  36-45           1             B   \n",
       "...         ...        ...    ...    ...         ...           ...   \n",
       "550063  1006033  P00372445      M  51-55          13             B   \n",
       "550064  1006035  P00375436      F  26-35           1             C   \n",
       "550065  1006036  P00375436      F  26-35          15             B   \n",
       "550066  1006038  P00375436      F    55+           1             C   \n",
       "550067  1006039  P00371644      F  46-50           0             B   \n",
       "\n",
       "       Stay_In_Current_City_Years  Marital_Status  Product_Category  Purchase  \n",
       "545915                          2               0                20       612  \n",
       "545916                         4+               0                20       119  \n",
       "545917                          2               1                20       481  \n",
       "545918                          1               0                20       480  \n",
       "545919                          1               1                20       241  \n",
       "...                           ...             ...               ...       ...  \n",
       "550063                          1               1                20       368  \n",
       "550064                          3               0                20       371  \n",
       "550065                         4+               1                20       137  \n",
       "550066                          2               0                20       365  \n",
       "550067                         4+               1                20       490  \n",
       "\n",
       "[4153 rows x 10 columns]"
      ]
     },
     "execution_count": 7,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "Q1 = df['Product_Category'].quantile(0.25)\n",
    "Q3 = df['Product_Category'].quantile(0.75)\n",
    "\n",
    "IQR = Q3 - Q1\n",
    "df[(df['Product_Category'] < (Q1 - 1.5*IQR)) | (df['Product_Category'] > (Q3+1.5*IQR))]"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "8bffe792-50e0-4e15-a1bf-d50793fa70c5",
   "metadata": {},
   "source": [
    "## Outlier for Purchase amount"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 8,
   "id": "49e9b32b-c4f8-4e9e-9cfb-e25370ac4db0",
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "<Axes: xlabel='Purchase'>"
      ]
     },
     "execution_count": 8,
     "metadata": {},
     "output_type": "execute_result"
    },
    {
     "data": {
      "image/png": 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",
      "text/plain": [
       "<Figure size 640x480 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "sns.boxplot(data = df, x = 'Purchase')"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 9,
   "id": "ea7eb586-104a-4332-9ad6-d7f664ac1f4c",
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/html": [
       "<div>\n",
       "<style scoped>\n",
       "    .dataframe tbody tr th:only-of-type {\n",
       "        vertical-align: middle;\n",
       "    }\n",
       "\n",
       "    .dataframe tbody tr th {\n",
       "        vertical-align: top;\n",
       "    }\n",
       "\n",
       "    .dataframe thead th {\n",
       "        text-align: right;\n",
       "    }\n",
       "</style>\n",
       "<table border=\"1\" class=\"dataframe\">\n",
       "  <thead>\n",
       "    <tr style=\"text-align: right;\">\n",
       "      <th></th>\n",
       "      <th>User_ID</th>\n",
       "      <th>Product_ID</th>\n",
       "      <th>Gender</th>\n",
       "      <th>Age</th>\n",
       "      <th>Occupation</th>\n",
       "      <th>City_Category</th>\n",
       "      <th>Stay_In_Current_City_Years</th>\n",
       "      <th>Marital_Status</th>\n",
       "      <th>Product_Category</th>\n",
       "      <th>Purchase</th>\n",
       "    </tr>\n",
       "  </thead>\n",
       "  <tbody>\n",
       "    <tr>\n",
       "      <th>343</th>\n",
       "      <td>1000058</td>\n",
       "      <td>P00117642</td>\n",
       "      <td>M</td>\n",
       "      <td>26-35</td>\n",
       "      <td>2</td>\n",
       "      <td>B</td>\n",
       "      <td>3</td>\n",
       "      <td>0</td>\n",
       "      <td>10</td>\n",
       "      <td>23603</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>375</th>\n",
       "      <td>1000062</td>\n",
       "      <td>P00119342</td>\n",
       "      <td>F</td>\n",
       "      <td>36-45</td>\n",
       "      <td>3</td>\n",
       "      <td>A</td>\n",
       "      <td>1</td>\n",
       "      <td>0</td>\n",
       "      <td>10</td>\n",
       "      <td>23792</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>652</th>\n",
       "      <td>1000126</td>\n",
       "      <td>P00087042</td>\n",
       "      <td>M</td>\n",
       "      <td>18-25</td>\n",
       "      <td>9</td>\n",
       "      <td>B</td>\n",
       "      <td>1</td>\n",
       "      <td>0</td>\n",
       "      <td>10</td>\n",
       "      <td>23233</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>736</th>\n",
       "      <td>1000139</td>\n",
       "      <td>P00159542</td>\n",
       "      <td>F</td>\n",
       "      <td>26-35</td>\n",
       "      <td>20</td>\n",
       "      <td>C</td>\n",
       "      <td>2</td>\n",
       "      <td>0</td>\n",
       "      <td>10</td>\n",
       "      <td>23595</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>1041</th>\n",
       "      <td>1000175</td>\n",
       "      <td>P00052842</td>\n",
       "      <td>F</td>\n",
       "      <td>26-35</td>\n",
       "      <td>2</td>\n",
       "      <td>B</td>\n",
       "      <td>1</td>\n",
       "      <td>0</td>\n",
       "      <td>10</td>\n",
       "      <td>23341</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>...</th>\n",
       "      <td>...</td>\n",
       "      <td>...</td>\n",
       "      <td>...</td>\n",
       "      <td>...</td>\n",
       "      <td>...</td>\n",
       "      <td>...</td>\n",
       "      <td>...</td>\n",
       "      <td>...</td>\n",
       "      <td>...</td>\n",
       "      <td>...</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>544488</th>\n",
       "      <td>1005815</td>\n",
       "      <td>P00116142</td>\n",
       "      <td>M</td>\n",
       "      <td>26-35</td>\n",
       "      <td>20</td>\n",
       "      <td>B</td>\n",
       "      <td>1</td>\n",
       "      <td>0</td>\n",
       "      <td>10</td>\n",
       "      <td>23753</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>544704</th>\n",
       "      <td>1005847</td>\n",
       "      <td>P00085342</td>\n",
       "      <td>F</td>\n",
       "      <td>18-25</td>\n",
       "      <td>4</td>\n",
       "      <td>B</td>\n",
       "      <td>2</td>\n",
       "      <td>0</td>\n",
       "      <td>10</td>\n",
       "      <td>23724</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>544743</th>\n",
       "      <td>1005852</td>\n",
       "      <td>P00202242</td>\n",
       "      <td>F</td>\n",
       "      <td>26-35</td>\n",
       "      <td>1</td>\n",
       "      <td>A</td>\n",
       "      <td>0</td>\n",
       "      <td>1</td>\n",
       "      <td>10</td>\n",
       "      <td>23529</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>545663</th>\n",
       "      <td>1006002</td>\n",
       "      <td>P00116142</td>\n",
       "      <td>M</td>\n",
       "      <td>51-55</td>\n",
       "      <td>0</td>\n",
       "      <td>C</td>\n",
       "      <td>1</td>\n",
       "      <td>1</td>\n",
       "      <td>10</td>\n",
       "      <td>23663</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>545787</th>\n",
       "      <td>1006018</td>\n",
       "      <td>P00052842</td>\n",
       "      <td>M</td>\n",
       "      <td>36-45</td>\n",
       "      <td>1</td>\n",
       "      <td>C</td>\n",
       "      <td>3</td>\n",
       "      <td>0</td>\n",
       "      <td>10</td>\n",
       "      <td>23496</td>\n",
       "    </tr>\n",
       "  </tbody>\n",
       "</table>\n",
       "<p>2677 rows × 10 columns</p>\n",
       "</div>"
      ],
      "text/plain": [
       "        User_ID Product_ID Gender    Age  Occupation City_Category  \\\n",
       "343     1000058  P00117642      M  26-35           2             B   \n",
       "375     1000062  P00119342      F  36-45           3             A   \n",
       "652     1000126  P00087042      M  18-25           9             B   \n",
       "736     1000139  P00159542      F  26-35          20             C   \n",
       "1041    1000175  P00052842      F  26-35           2             B   \n",
       "...         ...        ...    ...    ...         ...           ...   \n",
       "544488  1005815  P00116142      M  26-35          20             B   \n",
       "544704  1005847  P00085342      F  18-25           4             B   \n",
       "544743  1005852  P00202242      F  26-35           1             A   \n",
       "545663  1006002  P00116142      M  51-55           0             C   \n",
       "545787  1006018  P00052842      M  36-45           1             C   \n",
       "\n",
       "       Stay_In_Current_City_Years  Marital_Status  Product_Category  Purchase  \n",
       "343                             3               0                10     23603  \n",
       "375                             1               0                10     23792  \n",
       "652                             1               0                10     23233  \n",
       "736                             2               0                10     23595  \n",
       "1041                            1               0                10     23341  \n",
       "...                           ...             ...               ...       ...  \n",
       "544488                          1               0                10     23753  \n",
       "544704                          2               0                10     23724  \n",
       "544743                          0               1                10     23529  \n",
       "545663                          1               1                10     23663  \n",
       "545787                          3               0                10     23496  \n",
       "\n",
       "[2677 rows x 10 columns]"
      ]
     },
     "execution_count": 9,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "Q1 = df['Purchase'].quantile(0.25)\n",
    "Q3 = df['Purchase'].quantile(0.75)\n",
    "\n",
    "IQR = Q3 - Q1\n",
    "df[(df['Purchase'] < (Q1 - 1.5*IQR)) | (df['Purchase'] > (Q3+1.5*IQR))]"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 10,
   "id": "4668dc36-15fb-4318-b544-cc97fbedb7a2",
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "26-35    219587\n",
       "36-45    110013\n",
       "18-25     99660\n",
       "46-50     45701\n",
       "51-55     38501\n",
       "55+       21504\n",
       "0-17      15102\n",
       "Name: Age, dtype: int64"
      ]
     },
     "execution_count": 10,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "df['Age'].value_counts()"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 11,
   "id": "9870f08d-9773-4d0d-b9ce-5e0ee6c91c12",
   "metadata": {},
   "outputs": [],
   "source": [
    "bin = [0,5,10,15,20]\n",
    "df['Product_Bin'] = pd.cut(df['Product_Category'], bins = bin)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 12,
   "id": "6d3ff8e0-aa2a-45c5-a99b-cccec22af23e",
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/html": [
       "<div>\n",
       "<style scoped>\n",
       "    .dataframe tbody tr th:only-of-type {\n",
       "        vertical-align: middle;\n",
       "    }\n",
       "\n",
       "    .dataframe tbody tr th {\n",
       "        vertical-align: top;\n",
       "    }\n",
       "\n",
       "    .dataframe thead th {\n",
       "        text-align: right;\n",
       "    }\n",
       "</style>\n",
       "<table border=\"1\" class=\"dataframe\">\n",
       "  <thead>\n",
       "    <tr style=\"text-align: right;\">\n",
       "      <th></th>\n",
       "      <th>User_ID</th>\n",
       "      <th>Product_ID</th>\n",
       "      <th>Gender</th>\n",
       "      <th>Age</th>\n",
       "      <th>Occupation</th>\n",
       "      <th>City_Category</th>\n",
       "      <th>Stay_In_Current_City_Years</th>\n",
       "      <th>Marital_Status</th>\n",
       "      <th>Product_Category</th>\n",
       "      <th>Purchase</th>\n",
       "      <th>Product_Bin</th>\n",
       "    </tr>\n",
       "  </thead>\n",
       "  <tbody>\n",
       "    <tr>\n",
       "      <th>0</th>\n",
       "      <td>1000001</td>\n",
       "      <td>P00069042</td>\n",
       "      <td>F</td>\n",
       "      <td>0-17</td>\n",
       "      <td>10</td>\n",
       "      <td>A</td>\n",
       "      <td>2</td>\n",
       "      <td>0</td>\n",
       "      <td>3</td>\n",
       "      <td>8370</td>\n",
       "      <td>(0, 5]</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>1</th>\n",
       "      <td>1000001</td>\n",
       "      <td>P00248942</td>\n",
       "      <td>F</td>\n",
       "      <td>0-17</td>\n",
       "      <td>10</td>\n",
       "      <td>A</td>\n",
       "      <td>2</td>\n",
       "      <td>0</td>\n",
       "      <td>1</td>\n",
       "      <td>15200</td>\n",
       "      <td>(0, 5]</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>2</th>\n",
       "      <td>1000001</td>\n",
       "      <td>P00087842</td>\n",
       "      <td>F</td>\n",
       "      <td>0-17</td>\n",
       "      <td>10</td>\n",
       "      <td>A</td>\n",
       "      <td>2</td>\n",
       "      <td>0</td>\n",
       "      <td>12</td>\n",
       "      <td>1422</td>\n",
       "      <td>(10, 15]</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>3</th>\n",
       "      <td>1000001</td>\n",
       "      <td>P00085442</td>\n",
       "      <td>F</td>\n",
       "      <td>0-17</td>\n",
       "      <td>10</td>\n",
       "      <td>A</td>\n",
       "      <td>2</td>\n",
       "      <td>0</td>\n",
       "      <td>12</td>\n",
       "      <td>1057</td>\n",
       "      <td>(10, 15]</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>4</th>\n",
       "      <td>1000002</td>\n",
       "      <td>P00285442</td>\n",
       "      <td>M</td>\n",
       "      <td>55+</td>\n",
       "      <td>16</td>\n",
       "      <td>C</td>\n",
       "      <td>4+</td>\n",
       "      <td>0</td>\n",
       "      <td>8</td>\n",
       "      <td>7969</td>\n",
       "      <td>(5, 10]</td>\n",
       "    </tr>\n",
       "  </tbody>\n",
       "</table>\n",
       "</div>"
      ],
      "text/plain": [
       "   User_ID Product_ID Gender   Age  Occupation City_Category  \\\n",
       "0  1000001  P00069042      F  0-17          10             A   \n",
       "1  1000001  P00248942      F  0-17          10             A   \n",
       "2  1000001  P00087842      F  0-17          10             A   \n",
       "3  1000001  P00085442      F  0-17          10             A   \n",
       "4  1000002  P00285442      M   55+          16             C   \n",
       "\n",
       "  Stay_In_Current_City_Years  Marital_Status  Product_Category  Purchase  \\\n",
       "0                          2               0                 3      8370   \n",
       "1                          2               0                 1     15200   \n",
       "2                          2               0                12      1422   \n",
       "3                          2               0                12      1057   \n",
       "4                         4+               0                 8      7969   \n",
       "\n",
       "  Product_Bin  \n",
       "0      (0, 5]  \n",
       "1      (0, 5]  \n",
       "2    (10, 15]  \n",
       "3    (10, 15]  \n",
       "4     (5, 10]  "
      ]
     },
     "execution_count": 12,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "df.head()"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 120,
   "id": "77cd78ca-8a80-4528-8884-194156d7f6fa",
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "<Axes: xlabel='Gender', ylabel='Purchase'>"
      ]
     },
     "execution_count": 120,
     "metadata": {},
     "output_type": "execute_result"
    },
    {
     "data": {
      "image/png": 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",
      "text/plain": [
       "<Figure size 640x480 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "sns.boxplot(data = df, x = 'Gender', y = 'Purchase')"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 122,
   "id": "4f113042-4288-4352-a6f0-ecd3f5c45102",
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "<Axes: xlabel='Marital_Status', ylabel='Purchase'>"
      ]
     },
     "execution_count": 122,
     "metadata": {},
     "output_type": "execute_result"
    },
    {
     "data": {
      "image/png": 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",
      "text/plain": [
       "<Figure size 640x480 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "sns.boxplot(data = df, x = 'Marital_Status', y = 'Purchase')"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 123,
   "id": "9f18659f-53ce-4792-8d11-a77bc413cdf3",
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "<Axes: xlabel='Age', ylabel='Purchase'>"
      ]
     },
     "execution_count": 123,
     "metadata": {},
     "output_type": "execute_result"
    },
    {
     "data": {
      "image/png": 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",
      "text/plain": [
       "<Figure size 640x480 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "sns.boxplot(data = df, x = 'Age', y = 'Purchase')"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 13,
   "id": "488bfefd-e289-45e4-9908-b6e60655df56",
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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eMw0bNjT16tVzumDyxx9/NJLMHXfcYb755huzY8cOk5GRYYwx5v333ze1atUy99xzj/nXv/5lNmzYYD755BPz/PPPO/28v/zyS1OrVi3TvXt3s3z5cvPJJ5+YTp06mcaNGxubzeaoKyoqMjExMcbDw8NMmDDBrF692kyfPt3Url3btGvXzpw9e/aSP9ff6tOnj5FkbrnllovWAag8BGkANcIdd9xhPD09TXp6epk19957r3F3dzdpaWnGGGNSUlLMnXfeaWrXrm3q1Klj7rrrLrNq1SojyXz++edOy3777bdm4MCBJigoyHh4eJiQkBDzpz/9yXF3kPI4duyY8fT0NJLM9u3bS8z//vvvzV/+8hdz7bXXGh8fH2O3283NN99sFi5ceMl1X26QNsaYvXv3mv79+xu73W48PT1N27Ztne5eUmz//v3m1ltvNd7e3iYgIMAMHTrUfP755yWCdFFRkXnllVdMs2bNjLe3t+nQoYNZu3Ztibt2GGNMZmameeKJJ0x4eLjx8PAwQUFBpm/fvub777931KxZs8a0a9fOeHl5GUml3hHkQmlpaebpp582rVu3Nr6+vsbLy8s0b97cDB8+3Ozdu9dR9/PPP5u77rrL+Pv7mzp16pjevXubffv2lXrnkVmzZpmmTZsaNze3End42bBhg+nbt68JCAgwHh4eplGjRqZv377mX//6l9M6li9fbtq0aWM8PT1NeHi4eemll8zIkSONv7+/U11ubq55+umnTePGjY2Hh4dp2LCh+dvf/mYyMzOd6soTpBcuXGgkmaVLl17yuAGoHDZjLriLOwBcxaZMmaLnnntOKSkplX4BHFCWgoIC3XjjjWrUqJHi4+OvyDbuuusubd26VcnJyU73Mwdw5XCxIYCr1pw5cyRJ119/vQoKCrR27Vq9/vrruv/++wnRuKKGDh2qW2+9VQ0bNlRaWpreeustJSUl6bXXXqvU7eTl5WnXrl3avn27li9frhkzZhCigSpEkAZw1fL19dXMmTOVnJysvLw8hYeH6+mnn9Zzzz3n6tZwlTt9+rTGjh2rY8eOycPDQzfddJNWrVpV6ffSLn4yZN26dTV8+HA9/vjjlbp+ABfH0A4AAADAAm5/BwAAAFhAkAYAAAAsIEgDAAAAFnCxYRUrKirSL7/8ojp16pT5uFcAAAC4jjFGp0+fVmhoqGrVKvu8M0G6iv3yyy8KCwtzdRsAAAC4hCNHjlz0dqkE6SpWp04dSed/MHXr1nVxNwAAALjQqVOnFBYW5shtZSFIV7Hi4Rx169YlSAMAAFRjlxqGy8WGAAAAgAUEaQAAAMACgjQAAABgAWOkAQAArgBjjM6dO6fCwkJXt4ILuLm5yd3d/bJvRUyQBgAAqGT5+flKTU1VTk6Oq1tBGXx9fdWwYUN5enpaXgdBGgAAoBIVFRXp8OHDcnNzU2hoqDw9PXkIWzVijFF+fr6OHTumw4cPq0WLFhd96MrFEKQBAAAqUX5+voqKihQWFiZfX19Xt4NS+Pj4yMPDQz/99JPy8/Pl7e1taT1cbAgAAHAFWD3LiapRGT8ffsIAAACABQRpAAAAwAKCNAAAwO/IhAkTdOONN7q6jUtKTk6WzWZTYmKiq1spE0EaAACgGhgyZIhsNptsNps8PDzUrFkzjR07VtnZ2a5u7aLWr18vm82mkydPlnuZ3+6rzWZT/fr11bt3b+3Zs8dRExYWptTUVEVGRl6BrisHQRoAAKCa6N27t1JTU/Xjjz/qxRdf1Ny5czV27NgSdQUFBS7ornIV72tqaqq+/vprubu7q1+/fo75bm5uCgkJkbt79b3JHEEaAACgmvDy8lJISIjCwsI0aNAg3Xffffrss88cwzHeffddNWvWTF5eXjLGKCUlRbfffrtq166tunXrauDAgfr111+d1vnSSy8pODhYderU0dChQ3X27Fmn+d27d9eoUaOcpt1xxx0aMmSI431eXp6eeuophYWFycvLSy1atND8+fOVnJysHj16SJL8/f1ls9mclivPvoaEhOjGG2/U008/rSNHjujYsWOSSg7tKD7z/fXXX6tDhw7y9fVVly5ddODAgfIf4EpGkAYAAKimfHx8HGefDx06pI8//liffvqpI1zecccdOnHihDZs2KDVq1frP//5j+655x7H8h9//LFeeOEFTZ48WTt37lTDhg01d+7cCvfxwAMPaOnSpXr99deVlJSkt956S7Vr11ZYWJg+/fRTSdKBAweUmpqq1157rcLrP3PmjJYsWaLmzZurfv36F6199tlnNX36dO3cuVPu7u568MEHK7y9ylJ9z5UDAAD8jm3fvl0ffPCBevbsKen8g17ef/99NWjQQJK0evVq7dmzR4cPH1ZYWJgk6f3331fr1q21Y8cOdezYUbNmzdKDDz6ohx56SJL04osvas2aNSXOSl/MDz/8oI8//lirV69Wr169JEnNmjVzzA8ICJAkBQUFqV69euVe74oVK1S7dm1JUnZ2tho2bKgVK1Zc8v7OkydPVrdu3SRJzzzzjPr27auzZ89afqjK5XDpGemNGzeqf//+Cg0Nlc1m02effVZm7fDhw2Wz2TRr1iyn6Xl5eXr88ccVGBgoPz8/DRgwQD///LNTTWZmpmJjY2W322W32xUbG1tiQHxKSor69+8vPz8/BQYGauTIkcrPz3eq2bt3r7p16yYfHx81atRIkyZNkjHmcg4BAACAQ3G49Pb2VlRUlP74xz9q9uzZkqTGjRs7QrQkJSUlKSwszBGiJalVq1aqV6+ekpKSHDVRUVFO27jw/aUkJibKzc3NEV4rS48ePZSYmKjExERt27ZN0dHR6tOnj3766aeLLnfDDTc4/t2wYUNJUnp6eqX2Vl4uDdLZ2dlq27at5syZc9G6zz77TNu2bVNoaGiJeaNGjdLy5cu1dOlSbdq0SWfOnFG/fv1UWFjoqBk0aJASExMVFxenuLg4JSYmKjY21jG/sLBQffv2VXZ2tjZt2qSlS5fq008/1ZgxYxw1p06d0q233qrQ0FDt2LFDs2fP1rRp0zRjxoxKOBIAAAD/Fy4PHDigs2fPatmyZQoKCpIk+fn5OdUaY2Sz2Uqso6zpZalVq1aJE4O/vZjRx8enIrtQbn5+fmrevLmaN2+um2++WfPnz1d2drbmzZt30eU8PDwc/y7ez6KioivS46W4dGhHnz591KdPn4vWHD16VI899pi++uor9e3b12leVlaW5s+fr/fff9/xVcPixYsVFhamNWvWKCYmRklJSYqLi9PWrVvVqVMnSdK8efMUFRWlAwcOqGXLloqPj9f+/ft15MgRR1ifPn26hgwZosmTJ6tu3bpasmSJzp49q4ULF8rLy0uRkZH64YcfNGPGDI0ePbpCH1jg9yYlJUUZGRmubqPGCgwMVHh4uKvbAFAFisNlebRq1UopKSk6cuSI46z0/v37lZWVpYiICElSRESEtm7dqgceeMCx3NatW53W06BBA6WmpjreFxYWat++fY6LCNu0aaOioiJt2LDBkbd+y9PT07Hc5bDZbKpVq5Zyc3Mvaz1VqVqPkS4qKlJsbKz+/ve/q3Xr1iXmJyQkqKCgQNHR0Y5poaGhioyM1ObNmxUTE6MtW7bIbrc7QrQkde7cWXa7XZs3b1bLli21ZcsWRUZGOp3xjomJUV5enhISEtSjRw9t2bJF3bp1k5eXl1PNuHHjlJycrKZNm5a6D3l5ecrLy3O8P3Xq1GUdE6CmSUlJUUREhHJyclzdSo3l6+urpKQkwjQAJ7169dINN9yg++67T7NmzdK5c+c0YsQIdevWTR06dJAkPfHEExo8eLA6dOigW265RUuWLNF3333nNMb5T3/6k0aPHq2VK1fq2muv1cyZM52GwDZp0kSDBw/Wgw8+qNdff11t27bVTz/9pPT0dA0cOFCNGzeWzWbTihUrdNttt8nHx8cx9vli8vLylJaWJun8MNw5c+bozJkz6t+/f+UeqCuoWgfpl19+We7u7ho5cmSp89PS0uTp6Sl/f3+n6cHBwY4fTFpamuMrkd8KCgpyqgkODnaa7+/vL09PT6eaJk2alNhO8byygvTUqVM1ceLES+wpcPXKyMhQTk6ORs+aorDmzS69AJwcOfSjZowar4yMDII0ACfF15c9/vjj+uMf/6hatWqpd+/ejjHVknTPPffoP//5j55++mmdPXtWd911l/72t7/pq6++ctQ8+OCD+vbbb/XAAw/I3d1dTz75pONsdLE333xT48eP14gRI3T8+HGFh4dr/PjxkqRGjRpp4sSJeuaZZ/TXv/5VDzzwgBYuXHjJ/uPi4hxjnOvUqaPrr79e//rXv9S9e/fLPzhVpNoG6YSEBL322mvatWtXhYdNXDg2qDzjh6zUFI8nulh/48aN0+jRox3vT5065XRRAPB7Eda8ma6NjHB1GwBQbV0sfE6YMEETJkwoMT08PFyff/75Rdc7fvx4R+gt9vLLLzv+7eHhoblz5170tnje3t6aMWNGmdeGPf/883r++ecv2sdvLVy48JJhu0mTJk5jt7t3715iLPeNN97o0hs/VNv7SH/zzTdKT09XeHi43N3d5e7urp9++kljxoxxnBkOCQlRfn6+MjMznZZNT093nC0OCQkpcWNySTp27JhTTfGZ52KZmZkqKCi4aE3xFaIXns3+LS8vL9WtW9fpBQAAgJqv2gbp2NhY7dmzx3FblMTERIWGhurvf/+74+uI9u3by8PDQ6tXr3Ysl5qaqn379qlLly6Szt/iJSsrS9u3b3fUbNu2TVlZWU41+/btcxpoHx8fLy8vL7Vv395Rs3HjRqdb4sXHxys0NLTEkA8AAIDfq5SUFNWuXbvMV0pKiqtbrDQuHdpx5swZHTp0yPH+8OHDSkxMVEBAgMLDw0s82cbDw0MhISFq2bKlJMlut2vo0KEaM2aM6tevr4CAAI0dO1Zt2rRxXFUaERGh3r17a9iwYXr77bclSQ8//LD69evnWE90dLRatWql2NhYvfrqqzpx4oTGjh2rYcOGOc4gDxo0SBMnTtSQIUM0fvx4HTx4UFOmTNE//vEP7tgBAADwX6GhoY4nL5Y1/2rh0iC9c+dOp8HsxWOJBw8eXK5B6pI0c+ZMubu7a+DAgcrNzVXPnj21cOFCubm5OWqWLFmikSNHOu7uMWDAAKd7V7u5uWnlypUaMWKEunbtKh8fHw0aNEjTpk1z1Njtdq1evVqPPvqoOnToIH9/f40ePdpp/DMAAMDvnbu7e7lv4VfTuTRIlzZo/GKSk5NLTPP29tbs2bOdrlC9UEBAgBYvXnzRdYeHh2vFihUXrWnTpo02btxYrl4BAABwdau2Y6QBAACA6owgDQAAAFhAkAYAAAAsIEgDAAAAFlTbJxsCAABcbVJSUpSRkVFl2wsMDFR4eHiFljl+/LgiIiK0ffv2Kn9WxpAhQ7Ro0SJJ0vLly3XHHXdU6fYriiANAABQBVJSUhQREaGcnJwq26avr6+SkpIqFKanTp2q/v37O4XolJQUPfroo1q7dq3TbYI9PT3Lvd6FCxfqr3/9a4npubm58vb2liS99tpreumll9SwYcNyr9eVCNIAAABVICMjQzk5ORo9a4rCmje74ts7cuhHzRg1XhkZGeUO0rm5uZo/f75WrVrlmFZYWKi+ffuqQYMG2rRpk44fP67BgwfLGHPR2w+Xpm7dujpw4IDTtOIQLZ1/bofdbq/QOl2JIA0AAFCFwpo307WREa5uo1Rffvml3N3dFRUV5ZgWHx+v/fv368iRI46nEk6fPl1DhgzR5MmTHU+BLg+bzaaQkJBK79tVuNgQAAAAkqSNGzeqQ4cOTtO2bNmiyMhIp0d7x8TEKC8vTwkJCRVa/5kzZ9S4cWNdc8016tevn3bv3l0pfbsKQRoAAACSzj9F+reBWZLS0tIUHBzsNM3f31+enp5KS0sr97qvv/56LVy4UF988YU+/PBDeXt7q2vXrjp48GCl9O4KDO0AAACAJOcL/37LZrOVmGaMKXV6WTp37qzOnTs73nft2lU33XSTZs+erddff91awy7GGWkAAABIOn+7vMzMTKdpISEhJc48Z2ZmqqCgoMSZ6oqoVauWOnbsWKPPSBOkAQAAIElq166d9u/f7zQtKipK+/btU2pqqmNafHy8vLy81L59e8vbMsYoMTGxxtzqrjQM7QAAAKhCRw79WG23ExMTo3HjxikzM1P+/v6SpOjoaLVq1UqxsbF69dVXdeLECY0dO1bDhg2r0B07Jk6cqM6dO6tFixY6deqUXn/9dSUmJuqNN96ocJ/VBUEaAACgCgQGBsrX11czRo2vsm36+voqMDCw3PVt2rRRhw4d9PHHH2v48OGSJDc3N61cuVIjRoxQ165dnR7I8ls2m00LFizQkCFDSl33yZMn9fDDDystLU12u13t2rXTxo0bdfPNN1veP1cjSAMAAFSB8PBwJSUlVftHhD///POOM861ap0fBRweHq4VK1aUuUxycrLc3d3VtWvXMmtmzpypmTNnVqiX6o4gDQAAUEXCw8MrHGyr2m233aaDBw/q6NGjCgsLK9cycXFxevjhh9WiRYvL2vYjjzyixYsXX9Y6qhJBGgAAAE6eeOKJCtU/8sgjlbLdSZMmaezYsZJUIy5CJEgDAACgWggKClJQUJCr2yg3bn8HAAAAWECQBgAAACwgSAMAAAAWEKQBAAAACwjSAAAAgAUEaQAAAMACbn8HAABQRVJSUqr9kw2PHz+uiIgIbd++XU2aNLkyjV2G7t27a8OGDZKk3bt368Ybb3RZLwRpAACAKpCSkqKIiAjl5ORU2TZ9fX2VlJRUoTA9depU9e/f3ylE22y2EnVvvvlmhR7E8t133+kf//iHEhIS9NNPP2nmzJkaNWpUibq5c+fq1VdfVWpqqlq3bq1Zs2bpD3/4g2P+smXL9J///Ec333xzubd9pRCkAQAAqkBGRoZycnL03j+eVESTa6749pKSf9YDk2YqIyOj3EE6NzdX8+fP16pVq0rMW7BggXr37u14b7fbK9RPTk6OmjVrpj//+c968sknS6356KOPNGrUKM2dO1ddu3bV22+/rT59+mj//v2OfQgICNCpU6cqtO0rhSANAABQhSKaXKObWl7r6jZK9eWXX8rd3V1RUVEl5tWrV08hISGW192xY0d17NhRkvTMM8+UWjNjxgwNHTpUDz30kCRp1qxZ+uqrr/Tmm29q6tSplrd9pXCxIQAAACRJGzduVIcOHUqd99hjjykwMFAdO3bUW2+9paKiokrddn5+vhISEhQdHe00PTo6Wps3b67UbVUWzkgDAABAkpScnKzQ0NAS0//nf/5HPXv2lI+Pj77++muNGTNGGRkZeu655ypt2xkZGSosLFRwcLDT9ODgYKWlpVXadioTQRoAAACSzo+R9vb2LjH9t4G5+C4ZkyZNqtQgXezCCxuNMaVe7FgdMLQDAAAAks7fLi8zM/OSdZ07d9apU6f066+/Vuq23dzcSpx9Tk9PL3GWurogSAMAAECS1K5dO+3fv/+Sdbt375a3t7fq1atXadv29PRU+/bttXr1aqfpq1evVpcuXSptO5WJoR0AAABVKCn552q7nZiYGI0bN06ZmZny9/eXJP373/9WWlqaoqKi5OPjo3Xr1unZZ5/Vww8/LC8vr3KvOz8/3xHS8/PzdfToUSUmJqp27dpq3ry5JGn06NGKjY1Vhw4dFBUVpXfeeUcpKSkVul91VSJIAwAAVIHAwED5+vrqgUkzq2ybvr6+CgwMLHd9mzZt1KFDB3388ccaPny4JMnDw0Nz587V6NGjVVRUpGbNmmnSpEl69NFHnZa12WxasGCBhgwZUuq6f/nlF7Vr187xftq0aZo2bZq6deum9evXS5LuueceHT9+XJMmTVJqaqoiIyO1atUqNW7cuGI7XkUI0gAAAFUgPDxcSUlJ1f4R4c8//7zGjh2rYcOGqVatWurdu7fTg1hKk5ycLHd3d3Xt2rXMmiZNmsgYc8ntjxgxQiNGjKhQz65CkAYAAKgi4eHhFQ62Ve22227TwYMHdfToUYWFhZVrmbi4OD388MNq0aLFFe5O6tOnjzZu3HjFt1MeBGkAAAA4eeKJJypUX5VjmP/5z38qNzdXklz+RwlBGgAAADVGo0aNXN2CA7e/AwAAACwgSAMAAAAWEKQBAAAACwjSAAAAgAUEaQAAAMAC7toBAABQRVJSUqr9A1lQfgRpAACAKpCSkqKIiAjl5ORU2TZ9fX2VlJRUoTB9/PhxRUREaPv27WrSpMmVa+4KatKkiX766SdJUmZmpurVq3dFtkOQBgAAqAIZGRnKycnRPya/riZNr/wTAJMPH9SkZ0cqIyOjQkF66tSp6t+/v1OIfuKJJ7Rp0ybt27dPERERSkxMLLHc3r179dhjj2n79u0KCAjQ8OHD9fzzz8tms5V72xs3btSrr76qhIQEpaamavny5brjjjucaoYMGaJFixY5TevUqZO2bt3qeL9jxw598803uuuuu8q9bSsI0gAAAFWoSdMWahnRxtVtlCo3N1fz58/XqlWrnKYbY/Tggw9q27Zt2rNnT4nlTp06pVtvvVU9evTQjh079MMPP2jIkCHy8/PTmDFjyr397OxstW3bVn/9618vGoJ79+6tBQsWON57eno6zW/QoIECAgLKvV2rCNIAAACQJH355Zdyd3dXVFSU0/TXX39dknTs2LFSg/SSJUt09uxZLVy4UF5eXoqMjNQPP/ygGTNmaPTo0eU+K92nTx/16dPnknVeXl4KCQkp1zqvJO7aAQAAAEnnh1Z06NChwstt2bJF3bp1k5eXl2NaTEyMfvnlFyUnJ1dih+etX79eQUFBuu666zRs2DClp6dX+jbKgyANAAAASVJycrJCQ0MrvFxaWpqCg4OdphW/T0tLq5TeivXp00dLlizR2rVrNX36dO3YsUN/+tOflJeXV6nbKQ+XBumNGzeqf//+Cg0Nlc1m02effeaYV1BQoKefflpt2rSRn5+fQkND9cADD+iXX35xWkdeXp4ef/xxBQYGys/PTwMGDNDPP//sVJOZmanY2FjZ7XbZ7XbFxsbq5MmTTjUpKSnq37+//Pz8FBgYqJEjRyo/P9+pZu/everWrZt8fHzUqFEjTZo0ScaYSj0mAAAArpKbmytvb29Ly144fKM4I1XkYsPyuOeee9S3b19FRkaqf//++vLLL/XDDz9o5cqVlbqd8nBpkC4eUD5nzpwS83JycrRr1y49//zz2rVrl5YtW6YffvhBAwYMcKobNWqUli9frqVLl2rTpk06c+aM+vXrp8LCQkfNoEGDlJiYqLi4OMXFxSkxMVGxsbGO+YWFherbt6+ys7O1adMmLV26VJ9++qnT4PjiQfShoaHasWOHZs+erWnTpmnGjBlX4MgAAABUvcDAQGVmZlZ4uZCQkBJnnouHW1x4prqyNWzYUI0bN9bBgwev6HZK49KLDS82oNxut2v16tVO02bPnq2bb75ZKSkpCg8PV1ZWlubPn6/3339fvXr1kiQtXrxYYWFhWrNmjWJiYpSUlKS4uDht3bpVnTp1kiTNmzdPUVFROnDggFq2bKn4+Hjt379fR44ccXydMX36dA0ZMkSTJ09W3bp1K20QPQAAQHXVrl07LV68uMLLRUVFafz48crPz3fcQSM+Pl6hoaFX/F7Ux48f15EjR9SwYcMrup3S1Ki7dmRlZclmszluqp2QkKCCggJFR0c7akJDQxUZGanNmzcrJiZGW7Zskd1ud4RoSercubPsdrs2b96sli1basuWLYqMjHQaExQTE6O8vDwlJCSoR48eZQ6iHzdunJKTk9W0adNSe87Ly3Mas3Pq1KnKOhwAAKAGSj5cNWdOrWynONtkZmbK39/fMf3QoUM6c+aM0tLSlJub67iPdKtWreTp6alBgwZp4sSJGjJkiMaPH6+DBw9qypQp+sc//lGhk41nzpzRoUOHHO8PHz6sxMREBQQEKDw8XGfOnNGECRN01113qWHDhkpOTtb48eMVGBio//f//l+F9/dy1ZggffbsWT3zzDMaNGiQ6tatK+n84HVPT0+nH7R0/iuE4q8X0tLSFBQUVGJ9QUFBTjUXfu3g7+8vT09Pp5oL/6L67SD6soL01KlTNXHixAruLQAAuNoEBgbK19dXk54dWWXb9PX1VWBgYLnr27Rpow4dOujjjz/W8OHDHdMfeughbdiwwfG+Xbt2ks4H3SZNmjhGEjz66KPq0KGD/P39NXr0aI0ePdqxTPGJx3Xr1ql79+6lbn/nzp3q0aOH433x8oMHD9bChQvl5uamvXv36r333tPJkyfVsGFD9ejRQx999JHq1KlT7v2sLDUiSBcUFOjee+9VUVGR5s6de8l6Y4zTXz+l/SVUGTXlGUQ/btw4pw/RqVOnFBYWdsl9AAAAV5fw8HAlJSUpIyOjyrYZGBhYoacaStLzzz+vsWPHatiwYapV6/zldOvXr7/kcm3atNHGjRvLnJ+cnKx69eqpbdu2ZdZ07979ojdy8PHx0VdffXXJXqpKtQ/SBQUFGjhwoA4fPqy1a9c6zkZL5we25+fnl/j6IT09XV26dHHU/PrrryXWe+zYMccZ5ZCQEG3bts1pfmZmpgoKCpxqrAyi9/LychoOAgAAfr/Cw8MrHGyr2m233aaDBw/q6NGjlXryLy4uTuPHjy8xkuBKaN26tX788ccrvp1qfR/p4hB98OBBrVmzRvXr13ea3759e3l4eDhdlJiamqp9+/Y5gnRUVJSysrK0fft2R822bduUlZXlVLNv3z6lpqY6auLj4+Xl5aX27ds7ajZu3Oh0S7yqGkQPAABQlZ544olK/wb9pZde0t///vdKXWdZVq1apb179+rgwYNOJ2Erm0vPSF9sQHloaKjuvvtu7dq1SytWrFBhYaHjjHBAQIA8PT1lt9s1dOhQjRkzRvXr11dAQIDGjh2rNm3aOO7iERERod69e2vYsGF6++23JUkPP/yw+vXrp5YtW0qSoqOj1apVK8XGxurVV1/ViRMnHF9pFB/8yhpEDwAAgCurcePGVbIdlwbpiw0onzBhgr744gtJ0o033ui03G8Hqc+cOVPu7u4aOHCgcnNz1bNnT8dg9GJLlizRyJEjHXf3GDBggNO9q93c3LRy5UqNGDFCXbt2lY+PjwYNGqRp06Y5asoziB4AAAC/Hy4N0pcaUF6epwZ6e3tr9uzZmj17dpk1AQEBl7wnYnh4uFasWHHRmksNogcAAMDvR7UeIw0AAABUVwRpAAAAwAKCNAAAAGBBtb+PNAAAwNUiJSWl2j+QBeVHkAYAAKgCKSkpioiIUE5OTpVt09fXV0lJSRUK08ePH1dERIS2b99eY5+V0aRJE/3000+Szj9kr169eldkOwRpAACAKpCRkaGcnBzN+8cstWzc/Ipv78BPhzRs0ihlZGRUKEhPnTpV/fv3dwrRTzzxhDZt2qR9+/YpIiJCiYmJTsskJyeradOmJdb15Zdfqnfv3hXa9rJly/T999/Lx8dHXbp00csvv+x49od0/q5uEydO1DvvvKPMzEx16tRJb7zxhlq3bu2o2bFjh7755hvddddd5d62FQRpAACAKtSycXPd2DLS1W2UKjc3V/Pnz9eqVaucphtj9OCDD2rbtm3as2dPmcuvWbPGKdAGBARUaPsbNmzQo48+qo4dO+rcuXN69tlnFR0drf3798vPz0+S9Morr2jGjBlauHChrrvuOr344ou69dZbdeDAAdWpU0eS1KBBgwpv2wqCNAAAACSdP4Ps7u6uqKgop+mvv/66JOnYsWMXDdL169dXSEiI5e3HxcU5vV+wYIGCgoKUkJCgP/7xjzLGaNasWXr22Wd15513SpIWLVqk4OBgffDBBxo+fLjlbVvBXTsAAAAgSdq4caM6dOhgefkBAwYoKChIXbt21SeffHLZ/WRlZUn6vzPbhw8fVlpamuNp1ZLk5eWlbt26afPmzZe9vYoiSAMAAEDS+bHOoaGhFV6udu3amjFjhj755BOtWrVKPXv21D333HPJJ0tfjDFGo0eP1i233KLIyPNDYdLS0iRJwcHBTrXBwcGOeVWJoR0AAACQdH6MtLe3d4WXCwwM1JNPPul436FDB2VmZuqVV17R/fffb6mXxx57THv27NGmTZtKzLPZbE7vjTElplUFzkgDAABA0vlAnJmZWSnr6ty5sw4ePGhp2ccff1xffPGF1q1bp2uuucYxvXj89YVnn9PT00ucpa4KBGkAAABIktq1a6f9+/dXyrp2796thg0bVmgZY4wee+wxLVu2TGvXri1xS72mTZsqJCREq1evdkzLz8/Xhg0b1KVLl0rpuyIY2gEAAFCFDvx0qNpuJyYmRuPGjVNmZqb8/f0d0w8dOqQzZ84oLS1Nubm5jvtIt2rVSp6enlq0aJE8PDzUrl071apVS//+97/1+uuv6+WXX67Q9h999FF98MEH+vzzz1WnTh3HmWe73S4fHx/ZbDaNGjVKU6ZMUYsWLdSiRQtNmTJFvr6+GjRoUIX393IRpAEAAKpAYGCgfH19NWzSqCrbpq+vrwIDA8td36ZNG3Xo0EEff/yx063kHnroIW3YsMHxvl27dpLO30Wj+MEtL774on766Se5ubnpuuuu07vvvus0Prr4oS3r1q1T9+7dS93+m2++KUkl5i9YsEBDhgyRJD311FPKzc3ViBEjHA9kiY+Pd9xDuioRpAEAAKpAeHi4kpKSlJGRUWXbDAwMrNBTDSXp+eef19ixYzVs2DDVqnV+FPD69esvuszgwYM1ePDgi9YkJyerXr16atu2bZk1xphL9mez2TRhwgRNmDDhkrVXGkEaAACgioSHh1c42Fa12267TQcPHtTRo0cVFhZWaeuNi4vT+PHjnYaMXCmtW7fWjz/+eMW3Q5AGAACAkyeeeKLS1/nSSy9V+jrLsmrVKhUUFEiS6tate8W2Q5AGAADAVaVx48ZVsh1ufwcAAABYQJAGAAC4Aspz4RxcpzJ+PgRpAACASuTh4SFJysnJcXEnuJjin0/xz8sKxkgDAABUIjc3N9WrV0/p6emSzt/L2WazubgrFDPGKCcnR+np6apXr57c3Nwsr4sgDQAAUMlCQkIkyRGmUf3Uq1fP8XOyiiANAABQyWw2mxo2bKigoCDHbdhQfXh4eFzWmehiBGkAAIArxM3NrVICG6onLjYEAAAALCBIAwAAABYQpAEAAAALCNIAAACABQRpAAAAwAKCNAAAAGABQRoAAACwgCANAAAAWECQBgAAACwgSAMAAAAWEKQBAAAACwjSAAAAgAUEaQAAAMACgjQAAABgAUEaAAAAsIAgDQAAAFhAkAYAAAAsIEgDAAAAFhCkAQAAAAsI0gAAAIAFBGkAAADAAoI0AAAAYAFBGgAAALCAIA0AAABYQJAGAAAALCBIAwAAABa4NEhv3LhR/fv3V2hoqGw2mz777DOn+cYYTZgwQaGhofLx8VH37t313XffOdXk5eXp8ccfV2BgoPz8/DRgwAD9/PPPTjWZmZmKjY2V3W6X3W5XbGysTp486VSTkpKi/v37y8/PT4GBgRo5cqTy8/Odavbu3atu3brJx8dHjRo10qRJk2SMqbTjAQAAgJrDpUE6Oztbbdu21Zw5c0qd/8orr2jGjBmaM2eOduzYoZCQEN166606ffq0o2bUqFFavny5li5dqk2bNunMmTPq16+fCgsLHTWDBg1SYmKi4uLiFBcXp8TERMXGxjrmFxYWqm/fvsrOztamTZu0dOlSffrppxozZoyj5tSpU7r11lsVGhqqHTt2aPbs2Zo2bZpmzJhxBY4MAAAAqjt3V268T58+6tOnT6nzjDGaNWuWnn32Wd15552SpEWLFik4OFgffPCBhg8frqysLM2fP1/vv/++evXqJUlavHixwsLCtGbNGsXExCgpKUlxcXHaunWrOnXqJEmaN2+eoqKidODAAbVs2VLx8fHav3+/jhw5otDQUEnS9OnTNWTIEE2ePFl169bVkiVLdPbsWS1cuFBeXl6KjIzUDz/8oBkzZmj06NGy2WxVcMQAAABQXVTbMdKHDx9WWlqaoqOjHdO8vLzUrVs3bd68WZKUkJCggoICp5rQ0FBFRkY6arZs2SK73e4I0ZLUuXNn2e12p5rIyEhHiJakmJgY5eXlKSEhwVHTrVs3eXl5OdX88ssvSk5OLnM/8vLydOrUKacXAAAAar5qG6TT0tIkScHBwU7Tg4ODHfPS0tLk6ekpf3//i9YEBQWVWH9QUJBTzYXb8ff3l6en50Vrit8X15Rm6tSpjrHZdrtdYWFhF99xAAAA1AjVNkgXu3DIhDHmksMoLqwprb4yaoovNLxYP+PGjVNWVpbjdeTIkYv2DgAAgJqh2gbpkJAQSSXP9qanpzvOBIeEhCg/P1+ZmZkXrfn1119LrP/YsWNONRduJzMzUwUFBRetSU9Pl1TyrPlveXl5qW7duk4vAAAA1HzVNkg3bdpUISEhWr16tWNafn6+NmzYoC5dukiS2rdvLw8PD6ea1NRU7du3z1ETFRWlrKwsbd++3VGzbds2ZWVlOdXs27dPqampjpr4+Hh5eXmpffv2jpqNGzc63RIvPj5eoaGhatKkSeUfAAAAAFRrLg3SZ86cUWJiohITEyWdv8AwMTFRKSkpstlsGjVqlKZMmaLly5dr3759GjJkiHx9fTVo0CBJkt1u19ChQzVmzBh9/fXX2r17t+6//361adPGcRePiIgI9e7dW8OGDdPWrVu1detWDRs2TP369VPLli0lSdHR0WrVqpViY2O1e/duff311xo7dqyGDRvmOIM8aNAgeXl5aciQIdq3b5+WL1+uKVOmcMcOAACA3ymX3v5u586d6tGjh+P96NGjJUmDBw/WwoUL9dRTTyk3N1cjRoxQZmamOnXqpPj4eNWpU8exzMyZM+Xu7q6BAwcqNzdXPXv21MKFC+Xm5uaoWbJkiUaOHOm4u8eAAQOc7l3t5uamlStXasSIEeratat8fHw0aNAgTZs2zVFjt9u1evVqPfroo+rQoYP8/f01evRoR88AAAD4fbEZHs1XpU6dOiW73a6srCzGS+N3YdeuXWrfvr1mrliqayMjXN1OjfOffUl6st+9SkhI0E033eTqdgDgd6G8ea3ajpEGAAAAqjOCNAAAAGABQRoAAACwgCANAAAAWECQBgAAACwgSAMAAAAWEKQBAAAACwjSAAAAgAUEaQAAAMACgjQAAABgAUEaAAAAsIAgDQAAAFhAkAYAAAAsIEgDAAAAFhCkAQAAAAsI0gAAAIAFBGkAAADAAoI0AAAAYAFBGgAAALCAIA0AAABYQJAGAAAALCBIAwAAABYQpAEAAAALCNIAAACABQRpAAAAwAKCNAAAAGABQRoAAACwgCANAAAAWECQBgAAACwgSAMAAAAWEKQBAAAACwjSAAAAgAUEaQAAAMACgjQAAABgAUEaAAAAsIAgDQAAAFhAkAYAAAAsIEgDAAAAFhCkAQAAAAsI0gAAAIAFBGkAAADAAoI0AAAAYAFBGgAAALCAIA0AAABYQJAGAAAALCBIAwAAABYQpAEAAAALCNIAAACABQRpAAAAwAKCNAAAAGABQRoAAACwoFoH6XPnzum5555T06ZN5ePjo2bNmmnSpEkqKipy1BhjNGHCBIWGhsrHx0fdu3fXd99957SevLw8Pf744woMDJSfn58GDBign3/+2akmMzNTsbGxstvtstvtio2N1cmTJ51qUlJS1L9/f/n5+SkwMFAjR45Ufn7+Fdt/AAAAVF/VOki//PLLeuuttzRnzhwlJSXplVde0auvvqrZs2c7al555RXNmDFDc+bM0Y4dOxQSEqJbb71Vp0+fdtSMGjVKy5cv19KlS7Vp0yadOXNG/fr1U2FhoaNm0KBBSkxMVFxcnOLi4pSYmKjY2FjH/MLCQvXt21fZ2dnatGmTli5dqk8//VRjxoypmoMBAACAasXd1Q1czJYtW3T77berb9++kqQmTZroww8/1M6dOyWdPxs9a9YsPfvss7rzzjslSYsWLVJwcLA++OADDR8+XFlZWZo/f77ef/999erVS5K0ePFihYWFac2aNYqJiVFSUpLi4uK0detWderUSZI0b948RUVF6cCBA2rZsqXi4+O1f/9+HTlyRKGhoZKk6dOna8iQIZo8ebLq1q1b1YcHAAAALlStz0jfcsst+vrrr/XDDz9Ikr799ltt2rRJt912myTp8OHDSktLU3R0tGMZLy8vdevWTZs3b5YkJSQkqKCgwKkmNDRUkZGRjpotW7bIbrc7QrQkde7cWXa73akmMjLSEaIlKSYmRnl5eUpISChzH/Ly8nTq1CmnFwAAAGq+an1G+umnn1ZWVpauv/56ubm5qbCwUJMnT9Zf/vIXSVJaWpokKTg42Gm54OBg/fTTT44aT09P+fv7l6gpXj4tLU1BQUElth8UFORUc+F2/P395enp6agpzdSpUzVx4sSK7DYAAABqgGp9Rvqjjz7S4sWL9cEHH2jXrl1atGiRpk2bpkWLFjnV2Ww2p/fGmBLTLnRhTWn1VmouNG7cOGVlZTleR44cuWhfAAAAqBksBelmzZrp+PHjJaafPHlSzZo1u+ymiv3973/XM888o3vvvVdt2rRRbGysnnzySU2dOlWSFBISIkklzginp6c7zh6HhIQoPz9fmZmZF6359ddfS2z/2LFjTjUXbiczM1MFBQUlzlT/lpeXl+rWrev0AgAAQM1nKUgnJyc73fGiWF5eno4ePXrZTRXLyclRrVrOLbq5uTluf9e0aVOFhIRo9erVjvn5+fnasGGDunTpIklq3769PDw8nGpSU1O1b98+R01UVJSysrK0fft2R822bduUlZXlVLNv3z6lpqY6auLj4+Xl5aX27dtX2j4DAACgZqjQGOkvvvjC8e+vvvpKdrvd8b6wsFBff/21mjRpUmnN9e/fX5MnT1Z4eLhat26t3bt3a8aMGXrwwQclnR9qMWrUKE2ZMkUtWrRQixYtNGXKFPn6+mrQoEGSJLvdrqFDh2rMmDGqX7++AgICNHbsWLVp08ZxF4+IiAj17t1bw4YN09tvvy1Jevjhh9WvXz+1bNlSkhQdHa1WrVopNjZWr776qk6cOKGxY8dq2LBhnGUGAAD4HapQkL7jjjsknQ+wgwcPdprn4eGhJk2aaPr06ZXW3OzZs/X8889rxIgRSk9PV2hoqIYPH65//OMfjpqnnnpKubm5GjFihDIzM9WpUyfFx8erTp06jpqZM2fK3d1dAwcOVG5urnr27KmFCxfKzc3NUbNkyRKNHDnScXePAQMGaM6cOY75bm5uWrlypUaMGKGuXbvKx8dHgwYN0rRp0yptfwEAAFBz2IwxpqILNW3aVDt27FBgYOCV6OmqdurUKdntdmVlZXEmG78Lu3btUvv27TVzxVJdGxnh6nZqnP/sS9KT/e5VQkKCbrrpJle3AwC/C+XNa5Zuf3f48GHLjQEAAABXA8v3kf7666/19ddfKz093XHxX7F33333shsDAAAAqjNLQXrixImaNGmSOnTooIYNG17yns0AAADA1cZSkH7rrbe0cOFCxcbGVnY/AAAAQI1g6T7S+fn5jvsrAwAAAL9HloL0Qw89pA8++KCyewEAAABqDEtDO86ePat33nlHa9as0Q033CAPDw+n+TNmzKiU5gAAAIDqylKQ3rNnj2688UZJ0r59+5zmceEhAAAAfg8sBel169ZVdh8AAABAjWJpjDQAAADwe2fpjHSPHj0uOoRj7dq1lhsCAAAAagJLQbp4fHSxgoICJSYmat++fRo8eHBl9AUAAABUa5aC9MyZM0udPmHCBJ05c+ayGgIAAABqgkodI33//ffr3XffrcxVAgAAANVSpQbpLVu2yNvbuzJXCQAAAFRLloZ23HnnnU7vjTFKTU3Vzp079fzzz1dKYwAAAEB1ZilI2+12p/e1atVSy5YtNWnSJEVHR1dKYwAAAEB1ZilIL1iwoLL7AAAAAGoUS0G6WEJCgpKSkmSz2dSqVSu1a9eusvoCAAAAqjVLQTo9PV333nuv1q9fr3r16skYo6ysLPXo0UNLly5VgwYNKrtPAAAAoFqxdNeOxx9/XKdOndJ3332nEydOKDMzU/v27dOpU6c0cuTIyu4RAAAAqHYsnZGOi4vTmjVrFBER4ZjWqlUrvfHGG1xsCAAAgN8FS2eki4qK5OHhUWK6h4eHioqKLrspAAAAoLqzFKT/9Kc/6YknntAvv/zimHb06FE9+eST6tmzZ6U1BwAAAFRXloL0nDlzdPr0aTVp0kTXXnutmjdvrqZNm+r06dOaPXt2ZfcIAAAAVDuWxkiHhYVp165dWr16tb7//nsZY9SqVSv16tWrsvsDAAAAqqUKnZFeu3atWrVqpVOnTkmSbr31Vj3++OMaOXKkOnbsqNatW+ubb765Io0CAAAA1UmFgvSsWbM0bNgw1a1bt8Q8u92u4cOHa8aMGZXWHAAAAFBdVShIf/vtt+rdu3eZ86Ojo5WQkHDZTQEAAADVXYXGSP/666+l3vbOsTJ3dx07duyymwIAANVHSkqKMjIyXN1GjRYYGKjw8HBXt4FKVqEg3ahRI+3du1fNmzcvdf6ePXvUsGHDSmkMAAC4XkpKiiIiIpSTk+PqVmo0X19fJSUlEaavMhUK0rfddpv+8Y9/qE+fPvL29naal5ubqxdeeEH9+vWr1AYBAIDrZGRkKCcnR6NnTVFY82aubqdGOnLoR80YNV4ZGRkE6atMhYL0c889p2XLlum6667TY489ppYtW8pmsykpKUlvvPGGCgsL9eyzz16pXgEAgIuENW+mayMjXN0GUK1UKEgHBwdr8+bN+tvf/qZx48bJGCNJstlsiomJ0dy5cxUcHHxFGgUAAKjJkpKSXN1CjVVdx5hX+IEsjRs31qpVq5SZmalDhw7JGKMWLVrI39//SvQHAABQo2WmZ0g26f7773d1KzVWdR1jbunJhpLk7++vjh07VmYvAAAAV50zp05LRnpwwlNq0+EmV7dT41TnMeaWgzQAAADKr2GTMMaZX2Uq9EAWAAAAAOcRpAEAAAALCNIAAACABQRpAAAAwAKCNAAAAGABQRoAAACwgCANAAAAWECQBgAAACwgSAMAAAAWEKQBAAAACwjSAAAAgAUEaQAAAMACgjQAAABgAUEaAAAAsIAgDQAAAFhQ7YP00aNHdf/996t+/fry9fXVjTfeqISEBMd8Y4wmTJig0NBQ+fj4qHv37vruu++c1pGXl6fHH39cgYGB8vPz04ABA/Tzzz871WRmZio2NlZ2u112u12xsbE6efKkU01KSor69+8vPz8/BQYGauTIkcrPz79i+w4AAIDqq1oH6czMTHXt2lUeHh768ssvtX//fk2fPl316tVz1LzyyiuaMWOG5syZox07digkJES33nqrTp8+7agZNWqUli9frqVLl2rTpk06c+aM+vXrp8LCQkfNoEGDlJiYqLi4OMXFxSkxMVGxsbGO+YWFherbt6+ys7O1adMmLV26VJ9++qnGjBlTJccCAAAA1Yu7qxu4mJdffllhYWFasGCBY1qTJk0c/zbGaNasWXr22Wd15513SpIWLVqk4OBgffDBBxo+fLiysrI0f/58vf/+++rVq5ckafHixQoLC9OaNWsUExOjpKQkxcXFaevWrerUqZMkad68eYqKitKBAwfUsmVLxcfHa//+/Tpy5IhCQ0MlSdOnT9eQIUM0efJk1a1bt4qOCgAAAKqDan1G+osvvlCHDh305z//WUFBQWrXrp3mzZvnmH/48GGlpaUpOjraMc3Ly0vdunXT5s2bJUkJCQkqKChwqgkNDVVkZKSjZsuWLbLb7Y4QLUmdO3eW3W53qomMjHSEaEmKiYlRXl6e01CTC+Xl5enUqVNOLwAAANR81TpI//jjj3rzzTfVokULffXVV3rkkUc0cuRIvffee5KktLQ0SVJwcLDTcsHBwY55aWlp8vT0lL+//0VrgoKCSmw/KCjIqebC7fj7+8vT09NRU5qpU6c6xl3b7XaFhYVV5BAAAACgmqrWQbqoqEg33XSTpkyZonbt2mn48OEaNmyY3nzzTac6m83m9N4YU2LahS6sKa3eSs2Fxo0bp6ysLMfryJEjF+0LAAAANUO1DtINGzZUq1atnKZFREQoJSVFkhQSEiJJJc4Ip6enO84eh4SEKD8/X5mZmRet+fXXX0ts/9ixY041F24nMzNTBQUFJc5U/5aXl5fq1q3r9AIAAEDNV62DdNeuXXXgwAGnaT/88IMaN24sSWratKlCQkK0evVqx/z8/Hxt2LBBXbp0kSS1b99eHh4eTjWpqanat2+foyYqKkpZWVnavn27o2bbtm3Kyspyqtm3b59SU1MdNfHx8fLy8lL79u0rec8BAABQ3VXru3Y8+eST6tKli6ZMmaKBAwdq+/bteuedd/TOO+9IOj/UYtSoUZoyZYpatGihFi1aaMqUKfL19dWgQYMkSXa7XUOHDtWYMWNUv359BQQEaOzYsWrTpo3jLh4RERHq3bu3hg0bprfffluS9PDDD6tfv35q2bKlJCk6OlqtWrVSbGysXn31VZ04cUJjx47VsGHDOMsMAADwO1Stg3THjh21fPlyjRs3TpMmTVLTpk01a9Ys3XfffY6ap556Srm5uRoxYoQyMzPVqVMnxcfHq06dOo6amTNnyt3dXQMHDlRubq569uyphQsXys3NzVGzZMkSjRw50nF3jwEDBmjOnDmO+W5ublq5cqVGjBihrl27ysfHR4MGDdK0adOq4EgAAACguqnWQVqS+vXrp379+pU532azacKECZowYUKZNd7e3po9e7Zmz55dZk1AQIAWL1580V7Cw8O1YsWKS/YMAACAq1+1HiMNAAAAVFcEaQAAAMACgjQAAABgQbUfIw3g6pCRcUy+qfVc3UaNk5FxzNUtAADKQJAGcEUV33t92afL5Bvo7+Juap6cjPMPk/rtPewBANUDQRrAFXXy5ElJUvf2N6jtja0uXowSvk3cr6R/r3McRwBA9UGQBlAl/OvUVsP6nJGuqJQ6tV3dAgCgDFxsCAAAAFhAkAYAAAAsIEgDAAAAFhCkAQAAAAsI0gAAAIAFBGkAAADAAoI0AAAAYAFBGgAAALCAIA0AAABYQJAGAAAALCBIAwAAABYQpAEAAAALCNIAAACABQRpAAAAwAKCNAAAAGABQRoAAACwgCANAAAAWECQBgAAACwgSAMAAAAWEKQBAAAACwjSAAAAgAUEaQAAAMACgjQAAABgAUEaAAAAsIAgDQAAAFhAkAYAAAAsIEgDAAAAFhCkAQAAAAsI0gAAAIAFBGkAAADAAoI0AAAAYAFBGgAAALCAIA0AAABYQJAGAAAALCBIAwAAABYQpAEAAAALCNIAAACABQRpAAAAwAKCNAAAAGABQRoAAACwgCANAAAAWECQBgAAACwgSAMAAAAWEKQBAAAACwjSAAAAgAU1KkhPnTpVNptNo0aNckwzxmjChAkKDQ2Vj4+Punfvru+++85puby8PD3++OMKDAyUn5+fBgwYoJ9//tmpJjMzU7GxsbLb7bLb7YqNjdXJkyedalJSUtS/f3/5+fkpMDBQI0eOVH5+/pXaXQAAAFRjNSZI79ixQ++8845uuOEGp+mvvPKKZsyYoTlz5mjHjh0KCQnRrbfeqtOnTztqRo0apeXLl2vp0qXatGmTzpw5o379+qmwsNBRM2jQICUmJiouLk5xcXFKTExUbGysY35hYaH69u2r7Oxsbdq0SUuXLtWnn36qMWPGXPmdBwAAQLVTI4L0mTNndN9992nevHny9/d3TDfGaNasWXr22Wd15513KjIyUosWLVJOTo4++OADSVJWVpbmz5+v6dOnq1evXmrXrp0WL16svXv3as2aNZKkpKQkxcXF6Z///KeioqIUFRWlefPmacWKFTpw4IAkKT4+Xvv379fixYvVrl079erVS9OnT9e8efN06tSpMnvPy8vTqVOnnF4AAACo+WpEkH700UfVt29f9erVy2n64cOHlZaWpujoaMc0Ly8vdevWTZs3b5YkJSQkqKCgwKkmNDRUkZGRjpotW7bIbrerU6dOjprOnTvLbrc71URGRio0NNRRExMTo7y8PCUkJJTZ+9SpUx3DRex2u8LCwi7jSAAAAKC6qPZBeunSpdq1a5emTp1aYl5aWpokKTg42Gl6cHCwY15aWpo8PT2dzmSXVhMUFFRi/UFBQU41F27H399fnp6ejprSjBs3TllZWY7XkSNHLrXLAAAAqAHcXd3AxRw5ckRPPPGE4uPj5e3tXWadzWZzem+MKTHtQhfWlFZvpeZCXl5e8vLyumgvAAAAqHmq9RnphIQEpaenq3379nJ3d5e7u7s2bNig119/Xe7u7o4zxBeeEU5PT3fMCwkJUX5+vjIzMy9a8+uvv5bY/rFjx5xqLtxOZmamCgoKSpypBgAAwNWvWgfpnj17au/evUpMTHS8OnTooPvuu0+JiYlq1qyZQkJCtHr1ascy+fn52rBhg7p06SJJat++vTw8PJxqUlNTtW/fPkdNVFSUsrKytH37dkfNtm3blJWV5VSzb98+paamOmri4+Pl5eWl9u3bX9HjAAAAgOqnWg/tqFOnjiIjI52m+fn5qX79+o7po0aN0pQpU9SiRQu1aNFCU6ZMka+vrwYNGiRJstvtGjp0qMaMGaP69esrICBAY8eOVZs2bRwXL0ZERKh3794aNmyY3n77bUnSww8/rH79+qlly5aSpOjoaLVq1UqxsbF69dVXdeLECY0dO1bDhg1T3bp1q+qQAAAAoJqo1kG6PJ566inl5uZqxIgRyszMVKdOnRQfH686deo4ambOnCl3d3cNHDhQubm56tmzpxYuXCg3NzdHzZIlSzRy5EjH3T0GDBigOXPmOOa7ublp5cqVGjFihLp27SofHx8NGjRI06ZNq7qdBQAAQLVR44L0+vXrnd7bbDZNmDBBEyZMKHMZb29vzZ49W7Nnzy6zJiAgQIsXL77otsPDw7VixYqKtAsAAICrVLUeIw0AAABUVwRpAAAAwAKCNAAAAGABQRoAAACwgCANAAAAWECQBgAAACwgSAMAAAAWEKQBAAAACwjSAAAAgAUEaQAAAMACgjQAAABgAUEaAAAAsIAgDQAAAFhAkAYAAAAsIEgDAAAAFhCkAQAAAAsI0gAAAIAFBGkAAADAAoI0AAAAYAFBGgAAALCAIA0AAABYQJAGAAAALCBIAwAAABYQpAEAAAALCNIAAACABe6ubgAAAFR/GRnH5Jtaz9Vt1EgnT2a6ugVcIQRpAABQptTUVEnSsk+XyTfQ38Xd1EzHD6VIkrJzcl3cCSobQRoAAJTp5MmTkqTu7W9Q2xtbubaZGmrNqvVK/man8vPyXN0KKhlBGgAAXJJ/ndpqWJ8z0lbU9fNxdQu4QrjYEAAAALCAIA0AAABYQJAGAAAALGCMNADUAIcPH9auXbtc3UaNFRgYqPDwcFe3AeAqQ5AGgGosKzNLsknPP/+8nn/+eVe3U2P5+voqKSmJMA2gUhGkAaAay83OkYx095i/qWuPbq5up0Y6cuhHzRg1XhkZGQRpAJWKIA0ANUDQNaG6NjLC1W0AAH6Diw0BAAAACwjSAAAAgAUEaQAAAMACgjQAAABgAUEaAAAAsIAgDQAAAFhAkAYAAAAsIEgDAAAAFhCkAQAAAAt4siEAAEAVOH36jFJTU13dRo2TkXHM1S2UiSANAABwBZ3Ny5ck7dyxXfsPH3RxNzVPTkamJFXLP0II0gCA34WkpCRXt1AjHT582NUt1HgF5wolSTc0b6Ie3Tq7uJua59vE/Ur69zqdPHnS1a2UQJAGAFzVMtMzJJt0//33u7qVGi3n7FlXt1Dj1fbxVsP6/q5uo8ZJqVPb1S2UiSANALiqnTl1WjLSgxOeUpsON7m6nRpn3Rer9MU77ym/4JyrWwGqHYI0AOB3oWGTMF0bGeHqNmqcvTt3uboFoNqq1re/mzp1qjp27Kg6deooKChId9xxhw4cOOBUY4zRhAkTFBoaKh8fH3Xv3l3fffedU01eXp4ef/xxBQYGys/PTwMGDNDPP//sVJOZmanY2FjZ7XbZ7XbFxsaWGIuTkpKi/v37y8/PT4GBgRo5cqTy8/OvyL4DAACgeqvWQXrDhg169NFHtXXrVq1evVrnzp1TdHS0srOzHTWvvPKKZsyYoTlz5mjHjh0KCQnRrbfeqtOnTztqRo0apeXLl2vp0qXatGmTzpw5o379+qmwsNBRM2jQICUmJiouLk5xcXFKTExUbGysY35hYaH69u2r7Oxsbdq0SUuXLtWnn36qMWPGVM3BAAAAQLVSrYd2xMXFOb1fsGCBgoKClJCQoD/+8Y8yxmjWrFl69tlndeedd0qSFi1apODgYH3wwQcaPny4srKyNH/+fL3//vvq1auXJGnx4sUKCwvTmjVrFBMTo6SkJMXFxWnr1q3q1KmTJGnevHmKiorSgQMH1LJlS8XHx2v//v06cuSIQkNDJUnTp0/XkCFDNHnyZNWtW7cKjwwAAABcrVqfkb5QVlaWJCkgIEDS+VvypKWlKTo62lHj5eWlbt26afPmzZKkhIQEFRQUONWEhoYqMjLSUbNlyxbZ7XZHiJakzp07y263O9VERkY6QrQkxcTEKC8vTwkJCWX2nJeXp1OnTjm9AAAAUPPVmCBtjNHo0aN1yy23KDIyUpKUlpYmSQoODnaqDQ4OdsxLS0uTp6en/P39L1oTFBRUYptBQUFONRdux9/fX56eno6a0kydOtUx7tputyssLKwiuw0AAIBqqsYE6ccee0x79uzRhx9+WGKezWZzem+MKTHtQhfWlFZvpeZC48aNU1ZWluN15MiRi/YFAACAmqFGBOnHH39cX3zxhdatW6drrrnGMT0kJESSSpwRTk9Pd5w9DgkJUX5+vjIzMy9a8+uvv5bY7rFjx5xqLtxOZmamCgoKSpyp/i0vLy/VrVvX6QUAAICar1oHaWOMHnvsMS1btkxr165V06ZNneY3bdpUISEhWr16tWNafn6+NmzYoC5dukiS2rdvLw8PD6ea1NRU7du3z1ETFRWlrKwsbd++3VGzbds2ZWVlOdXs27fP6Tnv8fHx8vLyUvv27St/5wEAAFCtVeu7djz66KP64IMP9Pnnn6tOnTqOM8J2u10+Pj6y2WwaNWqUpkyZohYtWqhFixaaMmWKfH19NWjQIEft0KFDNWbMGNWvX18BAQEaO3as2rRp47iLR0REhHr37q1hw4bp7bffliQ9/PDD6tevn1q2bClJio6OVqtWrRQbG6tXX31VJ06c0NixYzVs2DDOMgMAAPwOVesg/eabb0qSunfv7jR9wYIFGjJkiCTpqaeeUm5urkaMGKHMzEx16tRJ8fHxqlOnjqN+5syZcnd318CBA5Wbm6uePXtq4cKFcnNzc9QsWbJEI0eOdNzdY8CAAZozZ45jvpubm1auXKkRI0aoa9eu8vHx0aBBgzRt2rQrtPcAAACozqp1kDbGXLLGZrNpwoQJmjBhQpk13t7emj17tmbPnl1mTUBAgBYvXnzRbYWHh2vFihWX7AkAAABXv2o9RhoAAACorgjSAAAAgAUEaQAAAMACgjQAAABgAUEaAAAAsKBa37UDwNXj7NlcnT5zxtVt1Dh5eXmubgEAUAaCNIArKiMjQ5J0+HCyjCEUVtQvv/wiSTp79qyLOwEAXIggDeCKOn36tCQpMChY10e0cXE3NU/yj79KkgoKzrm4EwDAhQjSAKqEh4eHfHz9XN1GjePuzv9NA0B1xcWGAAAAgAUEaQAAAMACgjQAAABgAUEaAAAAsIAgDQAAAFjA5eAAUANkZ2crNTXV1W3USCdPZrq6BQBXKYI0AFRjef+9f3TS/u/0U/ovLu6mZjp+KEWSlJ2T6+JOAFxtCNIAUI2dKyySJEU0bqToXn9wcTc105pV65X8zU7l87h1AJWMIA0ANUBtHy81rO/v6jZqpLp+Pq5uAcBViiANAPhdOH36DOPMLTh96rSrWwCqLYI0cAkpKSnKyMhwdRs11i+/MK4XrnU2L1+StHPHdu0/fNDF3dQ8xWPMz5075+JOgOqHIA1cREpKiiIiIpSTk+PqVmq8s/kFrm4Bv1MF5wolSTc0b6Ie3Tq7uJua5/NlXyn5m50qLCpydStAtUOQ/h3gjKp1SUlJysnJ0ehZUxTWvJmr26mRViz9RF8v/sQRZgBXqe3jzThzC2p7e7m6BaDaIkhf5TijWjn8Qxro2sgIV7dRIwUENXB1CwAAXBEE6atcRkYGZ1Qvw85132jJ9Dd09uxZV7cCAACqGYL070RY82acUbXgyKHDrm4BAABUU7Vc3QAAAABQExGkAQAAAAsY2gEAAC6poCBfp8+ccXUbNVL+OW7/ebUiSAMAgDIVFp6/deWx9GNKSEhwcTc107H0dElSYSEPtbnaEKQBAECZCs35B7HUqVtP10e0cXE3NdP+/eefDlnEQ22uOgRpAABwSW7ubvLx9XN1GzWSm7uHq1vAFUKQBsohM/OkUlNTXd1GjZTNw4AAAFcpgjRwEbm52ZKkdWvXatue3S7upmY6fuj8V5qMDQQAXG0I0sBF5OXlS5LaR7TQLV3au7ibmunTj1coWZIxxtWtAIBLnSs4x51PLDh7NtfVLZSJIA2UQ11fHzWs7+/qNmokX28vSVJhYZHy8/Nd3E3NU/TfOyYAqLmK/vuNXGZmJnc+sSA5+fzQyoyMDBd3UhJBGsAVVRwEz57NZZy5BWdzz0o6/4cIgJqp+Bs5v9p1uPOJBWdyzv//3+nTp13cSUkEaQBXVNF/b53l5eGpkPpBLu6m5vH09JQkGW6bBdR4tdzcufOJBR4e1feuJwRpAFXCZqslTw9PV7dR49SqZXN1CwCAMtRydQMAAABATUSQBgAAACwgSAMAAAAWEKQBAAAAC7jYEABqgHOFhTzIwaL8cwWubgHAVYogDQDVWNF/b3t3+tQpHuRg0bH0dEk8pv5y8VAl64qKeLLr1YogDQDVmPnvf4B9/GrzIAeL9u9PkfR/f5SgYnio0uXLy887/w9DoL7aEKQBoAZw40EOlrm5n3+Yw7mCcwyPsaCg4PzQGB6qZJ2n+/m4RYy++hCkfycyMo7JN7Weq9uocU6fqn6PIwVQMUX/HdKRmZnJ8BgLTp069d9/2XiokkW2/97boaiI4TFWnDtX6OoWykSQvsoVfw237NNl8g30d3E3Nc/xQ+e/Ej53jrGVQE1l/vt1ul/tOgyPsWDPnh//+y/Op1pl/nvsCgryGR5jwZnT509qnTx50rWNlIIgfZUr/tB1b3+D2t7YyrXN1ECfL/tKyd/sVCFjK4EarxbDYyypVcvN1S1cBc4HaXd3d4bHWJDsc0SSlJOT4+JOSiJI/07416mthvU5I11Rtb29XN0CIImvhC8Hd0xAdVFLtRgeY4Gbrfr+MUeQBsqhoCCfi5QsKqzGY9tqAr4SvnzFd0woKirkjxELDHeaAMpEkP6dOHs2lyBowdm8s5KkY+nHuEjJouILlfiPsVV8JXy5PNzO/6cuP58/RqzILzj/xwe/wkBJBGkL5s6dq1dffVWpqalq3bq1Zs2apT/84Q+ubqtUGRkZkqTDh5NlTJ6Lu6l5jh8/Lkny9auta5tf7+JuaqbEb//z33/xX+HLwVfC1tls5/+XP0ascXcjKgBl4bejgj766CONGjVKc+fOVdeuXfX222+rT58+2r9/v8LDw13dXgmn/3ulq3/9QIKgBd/+NwQWnDunzJNZLu6mZir878McOJsFV+OPEWtq2VzdAVB9EaQraMaMGRo6dKgeeughSdKsWbP01Vdf6c0339TUqVNd3F1JxXftOJt7liBowbn/hkAPzmRZxtksAMDViv/CVUB+fr4SEhL0zDPPOE2Pjo7W5s2bS10mLy9PeXn/N6QiK+t8mP2/G9xfWcVB+ueffqnWV71WV8fTzg/tOJL8s/5383YXd1Mzpf/yqyQpJTlF6zZscnE3NU/aUY7f5eIYXh6O3+XjGF6e5OSfJJ3PYVWVn8p9fY9BuR09etRIMv/7v//rNH3y5MnmuuuuK3WZF154wej84FBevHjx4sWLFy9eNeh15MiRi2ZDzkhbYLM5DxgzxpSYVmzcuHEaPXq0431RUZFOnDih+vXrl7nM78mpU6cUFhamI0eOqG7duq5up8bh+F0+juHl4xheHo7f5eMYXh6OX0nGGJ0+fVqhoaEXrSNIV0BgYKDc3NyUlpbmND09PV3BwcGlLuPl5SUvL+eHetSrV+9KtVhj1a1bl1/ey8Dxu3wcw8vHMbw8HL/LxzG8PBw/Z3a7/ZI1taqgj6uGp6en2rdvr9WrVztNX716tbp06eKirgAAAOAKnJGuoNGjRys2NlYdOnRQVFSU3nnnHaWkpOiRRx5xdWsAAACoQgTpCrrnnnt0/PhxTZo0SampqYqMjNSqVavUuHFjV7dWI3l5eemFF14oMfwF5cPxu3wcw8vHMbw8HL/LxzG8PBw/62zG8JgEAAAAoKIYIw0AAABYQJAGAAAALCBIAwAAABYQpAEAAAALCNKoVHPnzlXTpk3l7e2t9u3b65tvvrlo/TvvvKPu3burbt26stlsOnnypNP89evXy2azlfrasWPHFdwT15gwYUKJ/QwJCXHMHzJkSIn5nTt3dmHHrjN16lR17NhRderUUVBQkO644w4dOHCgRF1SUpIGDBggu92uOnXqqHPnzkpJSbnougcMGKDw8HB5e3urYcOGio2N1S+//OJUU9pn8q233qrUfaxKU6dOlc1m06hRo5ymWzl+TZo0KXFsnnnmGaealJQU9e/fX35+fgoMDNTIkSOVn59f2bt1RV3q93XZsmWKiYlRYGCgbDabEhMTy7Xe8hy/q+Hz9+abb+qGG25wPAQkKipKX375pVONlc9fsby8PN14442lHvur4fhJ0saNG9W/f3+FhobKZrPps88+c5p/5swZPfbYY7rmmmvk4+OjiIgIvfnmmxddZ3JysoYOHaqmTZvKx8dH1157rV544YUSv59XyzG8XNz+DpXmo48+0qhRozR37lx17dpVb7/9tvr06aP9+/crPDy81GVycnLUu3dv9e7dW+PGjSsxv0uXLkpNTXWa9vzzz2vNmjXq0KHDFdkPV2vdurXWrFnjeO/m5uY0v3fv3lqwYIHjvaen50XXZ7PZdPjwYTVp0qRS+3S1DRs26NFHH1XHjh117tw5Pfvss4qOjtb+/fvl5+cnSfrPf/6jW265RUOHDtXEiRNlt9uVlJQkb2/vi667R48eGj9+vBo2bKijR49q7Nixuvvuu7V582anugULFqh3796O9+V5ClZ1tGPHDr3zzju64YYbnKZbPX6SNGnSJA0bNszxvnbt2o5/FxYWqm/fvmrQoIE2bdqk48ePa/DgwTLGaPbs2ZW3Y1XgYr+v2dnZ6tq1q/785z87HYvyuNjxK1bTP3/XXHONXnrpJTVv3lyStGjRIt1+++3avXu3WrdufVmfP0l66qmnFBoaqm+//bbU+TX9+EnnP2Nt27bVX//6V911110l5j/55JNat26dFi9erCZNmig+Pl4jRoxQaGiobr/99lLX+f3336uoqEhvv/22mjdvrn379mnYsGHKzs7WtGnTnGqvhmN42QxQSW6++WbzyCOPOE27/vrrzTPPPHPJZdetW2ckmczMzIvW5efnm6CgIDNp0qTLabXaeuGFF0zbtm3LnD948GBz++23V2idkszhw4cvq6+aID093UgyGzZscEy75557zP3333/Z6/7888+NzWYz+fn5jmmSzPLlyy973a52+vRp06JFC7N69WrTrVs388QTTzjmWT1+jRs3NjNnzixz/qpVq0ytWrXM0aNHHdM+/PBD4+XlZbKysiq8PVe51O9rscOHDxtJZvfu3eVa76WOnzFXz+fvQv7+/uaf//ynMebyfn9XrVplrr/+evPdd9+VeuyvxuNX2j61bt26xH8vb7rpJvPcc89VaN2vvPKKadq06SW393vE0A5Uivz8fCUkJCg6OtppenR0dImzeJfjiy++UEZGhoYMGVJp66xuDh48qNDQUDVt2lT33nuvfvzxR6f569evV1BQkK677joNGzZM6enpLuq0esnKypIkBQQESJKKioq0cuVKXXfddYqJiVFQUJA6depU4qvPSzlx4oSWLFmiLl26yMPDw2neY489psDAQHXs2FFvvfWWioqKKmVfqtKjjz6qvn37qlevXk7TL/f4vfzyy6pfv75uvPFGTZ482elr4S1btigyMlKhoaGOaTExMcrLy1NCQkKl7FdVudTvq1UXO37FrobPX7HCwkItXbpU2dnZioqKuqzP36+//qphw4bp/fffl6+vb5l1V9PxK8stt9yiL774QkePHpUxRuvWrdMPP/ygmJiYCq0nKyvL8f+tv/V7OIaX5Ookj6vD0aNHjSTzv//7v07TJ0+ebK677rpLLl/eM9J9+vQxffr0uZxWq7VVq1aZTz75xOzZs8dxhjA4ONhkZGQYY4xZunSpWbFihdm7d6/54osvTNu2bU3r1q3N2bNny1ynfgdnpIuKikz//v3NLbfc4piWmppqJBlfX18zY8YMs3v3bjN16lRjs9nM+vXrL7nOp556yvj6+hpJpnPnzo6fQbH/+Z//MZs3bza7d+8206ZNM76+vuZ//ud/Kn3frqQPP/zQREZGmtzcXGOMcTojfTnHb8aMGWb9+vXm22+/NfPmzTOBgYFm6NChjvnDhg0zt956a4nlPD09zQcffFB5O3iFXer3tVhFz0hf6vgZc3V8/owxZs+ePcbPz8+4ubkZu91uVq5caYyx/vkrKioyvXv3dhyLso791XL8fkulnCHOy8szDzzwgJFk3N3djaenp3nvvfcqtN5Dhw6ZunXrmnnz5jlNvxqPoRUEaVSK4iC9efNmp+kvvviiadmypZk8ebLx8/NzvH766SenuvIE6SNHjphatWqZTz755ErsQrV05swZExwcbKZPn17q/F9++cV4eHiYTz/91DGtd+/eTse6+D9Gv512tRkxYoRp3LixOXLkiGNa8WfyL3/5i1Nt//79zb333muMMWb48OFlHpdjx46ZAwcOmPj4eNO1a1dz2223maKiojJ7mDZtmqlbt24l7tWVlZKSYoKCgkxiYqJj2m+D9OUev9/65JNPjCRHwBw2bJiJjo4uUefh4WE+/PDDy901lynr97WsMGf1+JWmpn3+iuXl5ZmDBw+aHTt2mGeeecYEBgaa7777zvLn77XXXjNdunQx586dM8aU/4+Ymnr8fqu0IP3qq6+a6667znzxxRfm22+/NbNnzza1a9c2q1evNsZc+jN49OhR07x58xJ/yJXmajiGVnCxISpFYGCg3NzclJaW5jQ9PT1dwcHBeuSRRzRw4EDH9N9+pVteCxYsUP369TVgwIDL7rem8PPzU5s2bXTw4MFS5zds2FCNGzd2mv/Pf/5Tubm5jvctWrTQqlWr1KhRoyverys8/vjj+uKLL7Rx40Zdc801jumBgYFyd3dXq1atnOojIiK0adMmSecv6Bo7dmyp6w0MDFRgYKCuu+46RUREKCwsTFu3blVUVFSp9Z07d9apU6f066+/Kjg4uJL27spJSEhQenq62rdv75hWWFiojRs3as6cOcrOzr6s4/dbxXeWOXTokOrXr6+QkBBt27bNqSYzM1MFBQU14tiV5VK/rxeyevzKqqlJn79inp6ejosNO3TooB07dui1117T7NmzLX3+1q5dq61bt8rLy8tpeocOHXTfffdp0aJFpfZRU4/fxeTm5mr8+PFavny5+vbtK0m64YYblJiYqGnTpqlXr14X/Qz+8ssv6tGjh6KiovTOO+9ccntX4zEsD4I0KoWnp6fat2+v1atX6//9v//nmL569WrdfvvtCggIKHV8VXkZY7RgwQI98MADJcapXs3y8vKUlJSkP/zhD6XOP378uI4cOaKGDRs6ppUWmBs3bnzV3bXDGKPHH39cy5cv1/r169W0aVOn+Z6enurYsWOJW+L98MMPaty4sSQpKChIQUFB5dqWdP7nUZbdu3fL29tb9erVq+CeuEbPnj21d+9ep2l//etfdf311+vpp5+Wl5dXpR2/3bt3S5LjcxoVFaXJkycrNTXVMS0+Pl5eXl5Owb6mudTv64WsHr+yamrS568sxhjl5eVZ/v19/fXX9eKLLzre//LLL4qJidFHH32kTp06lbndq+X4/VZBQYEKCgpUq5bz5XBubm6OscxlfQaPHj2qHj16qH379lqwYEGJdZTmajyG5eLaE+K4mixdutR4eHiY+fPnm/3795tRo0YZPz8/k5ycXOYyqampZvfu3WbevHlGktm4caPZvXu3OX78uFPdmjVrjCSzf//+K70bLjVmzBizfv168+OPP5qtW7eafv36mTp16pjk5GRz+vRpM2bMGLN582Zz+PBhs27dOhMVFWUaNWpkTp06VeY6dZWOkf7b3/5m7Ha7Wb9+vUlNTXW8cnJyHDXLli0zHh4e5p133jEHDx40s2fPNm5ubuabb74pc73btm0zs2fPNrt37zbJyclm7dq15pZbbjHXXnutYyz6F198Yd555x2zd+9ec+jQITNv3jxTt25dM3LkyCu+31fShXftsHL8Nm/e7BjT+uOPP5qPPvrIhIaGmgEDBjhqzp07ZyIjI03Pnj3Nrl27zJo1a8w111xjHnvssSu5e5XuYr+vxhhz/Phxs3v3brNy5UojySxdutTs3r3bpKamlrnO8hy/q+XzN27cOLNx40Zz+PBhs2fPHjN+/HhTq1YtEx8fb4yx9vm7UGlDO66W42fM+bvu7N692+zevdtIcnx2iodPduvWzbRu3dqsW7fO/Pjjj2bBggXG29vbzJ07t8x1Fg/n+NOf/mR+/vlnp/9/LXY1HcPLRZBGpXrjjTdM48aNjaenp7npppucbkVWmhdeeMFIKvFasGCBU91f/vIX06VLlyvYefVwzz33mIYNGxoPDw8TGhpq7rzzTvPdd98ZY4zJyckx0dHRpkGDBsbDw8OEh4ebwYMHm5SUlIuu82oN0qV9bkr77MyfP980b97ceHt7m7Zt25rPPvvsouvds2eP6dGjhwkICDBeXl6mSZMm5pFHHjE///yzo+bLL780N954o6ldu7bx9fU1kZGRZtasWaagoOBK7GqVuTBIG1Px45eQkGA6depk7Ha78fb2Ni1btjQvvPCCyc7Odqr76aefTN++fY2Pj48JCAgwjz322EUvmq2OLvb7aowxCxYsKPUz+sILL5S5zvIcv6vl8/fggw86/nvRoEED07NnT0eILlbRz9+FSgvSV8vxM+b/ri+68DV48GBjzPmTVUOGDDGhoaGOz9P06dMver1HWZ/b3557vZqO4eWyGfPf7ywBAAAAlBv3kQYAAAAsIEgDAAAAFhCkAQAAAAsI0gAAAIAFBGkAAADAAoI0AAAAYAFBGgAAALCAIA0AAABYQJAGAAAALCBIAwBKtXnzZrm5ual3796ubgUAqiUeEQ4AKNVDDz2k2rVr65///Kf279+v8PBwV7cEANUKZ6QBACVkZ2fr448/1t/+9jf169dPCxcudJr/xRdfqEWLFvLx8VGPHj20aNEi2Ww2nTx50lGzefNm/fGPf5SPj4/CwsI0cuRIZWdnV+2OAMAVRJAGAJTw0UcfqWXLlmrZsqXuv/9+LViwQMVfYCYnJ+vuu+/WHXfcocTERA0fPlzPPvus0/J79+5VTEyM7rzzTu3Zs0cfffSRNm3apMcee8wVuwMAVwRDOwAAJXTt2lUDBw7UE088oXPnzqlhw4b68MMP1atXLz3zzDNauXKl9u7d66h/7rnnNHnyZGVmZqpevXp64IEH5OPjo7fffttRs2nTJnXr1k3Z2dny9vZ2xW4BQKXijDQAwMmBAwe0fft23XvvvZIkd3d33XPPPXr33Xcd8zt27Oi0zM033+z0PiEhQQsXLlTt2rUdr5iYGBUVFenw4cNVsyMAcIW5u7oBAED1Mn/+fJ07d06NGjVyTDPGyMPDQ5mZmTLGyGazOS1z4ZebRUVFGj58uEaOHFli/Vy0COBqQZAGADicO3dO7733nqZPn67o6GineXfddZeWLFmi66+/XqtWrXKat3PnTqf3N910k7777js1b978ivcMAK7CGGkAgMNnn32me+65R+np6bLb7U7znn32Wa1atUrLli1Ty5Yt9eSTT2ro0KFKTEzUmDFj9PPPP+vkyZOy2+3as2ePOnfurL/+9a8aNmyY/Pz8lJSUpNWrV2v27Nku2jsAqFyMkQYAOMyfP1+9evUqEaKl82ekExMTlZmZqU8++UTLli3TDTfcoDfffNNx1w4vLy9J0g033KANGzbo4MGD+sMf/qB27drp+eefV8OGDat0fwDgSuKMNADgsk2ePFlvvfWWjhw54upWAKDKMEYaAFBhc+fOVceOHVW/fn397//+r1599VXuEQ3gd4cgDQCosIMHD+rFF1/UiRMnFB4erjFjxmjcuHGubgsAqhRDOwAAAAALuNgQAAAAsIAgDQAAAFhAkAYAAAAsIEgDAAAAFhCkAQAAAAsI0gAAAIAFBGkAAADAAoI0AAAAYMH/B6UKEz0WmayUAAAAAElFTkSuQmCC",
      "text/plain": [
       "<Figure size 800x600 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "plt.figure(figsize = (8,6))\n",
    "sns.histplot(data = df, x = 'Age', hue = 'Product_Bin', palette='Set2')\n",
    "plt.title('Age Vs Product Category')\n",
    "plt.show()"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 14,
   "id": "a78635e8-fab3-4dbf-9578-991d3ad28495",
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "<Axes: xlabel='Marital_Status', ylabel='Purchase'>"
      ]
     },
     "execution_count": 14,
     "metadata": {},
     "output_type": "execute_result"
    },
    {
     "data": {
      "image/png": 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",
      "text/plain": [
       "<Figure size 640x480 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "sns.barplot(data = df, x = 'Marital_Status', y = 'Purchase', hue = 'Age')"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 15,
   "id": "3fd89590-e051-46cc-b8b0-04f2d5c73971",
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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",
      "text/plain": [
       "<Figure size 640x480 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "sns.countplot(data = df, x = 'Product_Category', hue = 'Gender')\n",
    "plt.title('Product Category & Gender')\n",
    "plt.show()"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 16,
   "id": "ba4868c3-d28b-4c6a-8be6-1dda300c6135",
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "8734.565765155476"
      ]
     },
     "execution_count": 16,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "s = df[df['Gender'] == 'F']\n",
    "female_mean = s['Purchase'].mean()\n",
    "female_mean"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 17,
   "id": "379c7abb-450c-4c71-8dc9-2ccec8e98be2",
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "4767.233289291444"
      ]
     },
     "execution_count": 17,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "female_std = s['Purchase'].std()\n",
    "female_std"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 18,
   "id": "22053626-d73e-4526-8437-46b6712c22ec",
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "9437.526040472265"
      ]
     },
     "execution_count": 18,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "r = df[df['Gender'] == 'M']\n",
    "male_mean = r['Purchase'].mean()\n",
    "male_mean"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 19,
   "id": "d5f19e9b-51b0-49b4-aee5-29ff19a698bb",
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "5092.186209777949"
      ]
     },
     "execution_count": 19,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "male_std = r['Purchase'].std()\n",
    "male_std"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "ccb60b3a-9db0-4611-b272-afb75a0fe175",
   "metadata": {},
   "source": [
    "- The Average purchase order of Male is greater than female"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 20,
   "id": "dc48cc59-de18-4865-8be1-4cc60752dacd",
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "<Axes: xlabel='Purchase', ylabel='Count'>"
      ]
     },
     "execution_count": 20,
     "metadata": {},
     "output_type": "execute_result"
    },
    {
     "data": {
      "image/png": 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",
      "text/plain": [
       "<Figure size 640x480 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "sns.histplot(data = r, x = 'Purchase', kde = True)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 143,
   "id": "b4cdcc90-ccf5-4b31-8ba7-706c3ebe840a",
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "-1.9599639845400545"
      ]
     },
     "execution_count": 143,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "norm.ppf(0.025)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 144,
   "id": "4f08253b-ff3a-4ab0-b8bc-7dae101732fe",
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "1.959963984540054"
      ]
     },
     "execution_count": 144,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "norm.ppf(0.975)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 140,
   "id": "ce0c852d-a514-4cac-b9aa-1093db3172ca",
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "-492.97444793366776"
      ]
     },
     "execution_count": 140,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "lower_range_male = male_mean - 1.95 * male_std\n",
    "lower_range_male"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 141,
   "id": "bb46e047-5435-4c72-8f5b-fd716575716e",
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "19366.551770200334"
      ]
     },
     "execution_count": 141,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "upper_range_male = male_mean + 1.95 * male_std\n",
    "upper_range_male"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 25,
   "id": "d9ee516a-d220-4539-b9e9-11df76fe2a58",
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "<Axes: xlabel='Purchase', ylabel='Count'>"
      ]
     },
     "execution_count": 25,
     "metadata": {},
     "output_type": "execute_result"
    },
    {
     "data": {
      "image/png": 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",
      "text/plain": [
       "<Figure size 640x480 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "sns.histplot(data = s, x = 'Purchase', kde = True)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 138,
   "id": "735d5514-1ee5-46e8-aa33-51cf6b5443f8",
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "-560.5468785183166"
      ]
     },
     "execution_count": 138,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "lower_range_female = female_mean - 1.95 * female_std\n",
    "lower_range_female"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 139,
   "id": "70ed3a76-3807-456c-b3f4-b408d402bcac",
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "18031.662949718317"
      ]
     },
     "execution_count": 139,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "upper_range_female = female_mean + 1.95 * female_std\n",
    "upper_range_female"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "b737f95a-6a74-4966-8f44-603fabbe90e7",
   "metadata": {},
   "source": [
    "## Confidence Interval for whole data Purchase and Gender column\n",
    "### Consider Confidence level at 95%\n",
    "- The average purchase value between the 95% of the data lies between the range 0 and 19366 for Male\n",
    "- The average purchase value between the 95% of the data lies between the range 0 and 18031 for Female\n",
    "- There is difference between the range of the Male and female average purchase value"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "fd39143f-f799-4bc6-b70f-ffc36fd7e35e",
   "metadata": {},
   "source": [
    "### Sample size considering 300 for male"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 28,
   "id": "6e42fce5-29d3-4bc3-a8c9-a51ec27c85f9",
   "metadata": {},
   "outputs": [],
   "source": [
    "sam = [r['Purchase'].sample(300).mean() for i in range (500)]\n"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 29,
   "id": "dc1dc41d-38a5-4681-9882-38f033e4a97f",
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "<Axes: ylabel='Count'>"
      ]
     },
     "execution_count": 29,
     "metadata": {},
     "output_type": "execute_result"
    },
    {
     "data": {
      "image/png": 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",
      "text/plain": [
       "<Figure size 640x480 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "sns.histplot(x = sam, kde = True)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 30,
   "id": "a0306c6b-abfa-4ecd-bc31-512a162df27d",
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "9453.856746666666"
      ]
     },
     "execution_count": 30,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "male_mean = np.mean(sam)\n",
    "male_mean"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 31,
   "id": "d7860fb5-a9ba-4582-9083-dcad23d18e90",
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "293.9975078978999"
      ]
     },
     "execution_count": 31,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "se = male_std/np.sqrt(300)\n",
    "se"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 136,
   "id": "132c8fea-ccbf-464a-a596-2af797b5b3cd",
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "9379.459147093245"
      ]
     },
     "execution_count": 136,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "lower_range_male = male_mean - 1.95 * se\n",
    "lower_range_male"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 137,
   "id": "1970852c-a7a5-4971-b335-27175d8d01a0",
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "9494.118175173424"
      ]
     },
     "execution_count": 137,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "upper_range_male = male_mean + 1.95 * se\n",
    "upper_range_male"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "83ed1d9f-996c-4a21-9764-b24c76569944",
   "metadata": {},
   "source": [
    "### Sample size considering 300 for female"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 34,
   "id": "068e8c90-fb94-4f95-8a46-b1e3ca91a365",
   "metadata": {},
   "outputs": [],
   "source": [
    "sam_f = [s['Purchase'].sample(300).mean() for i in range (500)]\n"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 35,
   "id": "160d2ef9-a8f3-48bd-84b9-2eb1ad7e8f31",
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "<Axes: ylabel='Count'>"
      ]
     },
     "execution_count": 35,
     "metadata": {},
     "output_type": "execute_result"
    },
    {
     "data": {
      "image/png": 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7sa2sSeaKiIKfrGEmKSkJQ4cO7bZvyJAhKCvzzKZpMpkA4KRWmNra2pNaa7poNBpERUV124ioO5db4LMST/dSVnwEBhkj5S4pqNx8QRpmDE9Cp1vggTe3o8XK+WeIfEnWMHPRRRdh//793fYdOHAAGRkZAIDMzEyYTCasX7/e+7rD4cCGDRswceLEfq2VKJhsLWtCbasdGpUCU3L59FJfkyQJi2cO884/8xuu30TkU7KGmYceegibNm3C4sWLcejQIaxatQovvvgi7r33XgCeG8L8+fOxePFirF69Gnv27MHtt98OnU6HWbNmyVk6UcBqaLNj8xFP99KkQQmI0LB7yReiwtX4662joVJI+Hh3Nd7czC5vIl+RNcxccMEFWL16Nd58803k5+fjj3/8I5YtW4bZs2d7j1mwYAHmz5+PefPmYezYsaisrMS6deug1/OpC6Jz5XYLrC+pgUsIDIjTIdfEf0e+NDItGo9dlQsAeOK/xThc1yZzRUTBSfZfyWbMmIEZM2ac9nVJklBQUICCgoL+K4ooSG0rb0KNxY4wlQKX5xrZvdQPfn5xJr4+WIdvDtbj4bd34D+/nMg1r4j6GP9FEYWIxnYHNh3vXro0Jx6R4bL/LhMSFAoJz/14BKLCVdhZ0YK/fXlI7pKIgg7DDFEIEAL4rKQGLrdARqwOQ7n2Ur8yGcLxxxvyAQB//eIQdpY3y1sQUZBhmCEKAQdbFahusSFMqcDlQ/j0khyuH5mCGcOT4HILPPTvHbA6XHKXRBQ0GGaIgpwqJhnFLZ71li7JiYc+XC1zRaHryRvykajX4EhdO575dJ/c5RAFDYYZoiDmFgJxVz8At5CQFqtFXjK7l+QUrQvDsz8eDgB4rfAovj1YL3NFRMGBYYYoiK051IHwtHwoJYEr+PSSX5g8OBGzx6cDABau3oUOR6fMFREFPoYZoiB1rKEdr+9qBQAMi3YhSsvuJX+x8JohSDKEo7zRimWfHZS7HKKAxzBDFITcboHH3t0Fu0vAdmwXsiLdcpdEJ4jUqPDk8aeb/u+bI9hd0SJzRUSBjWGGKAi9sbkMm440QqOU0LDmebB3yf9cPsSIa0ckwy083U0uN9duIuothhmiIFPW0IEln5QAAOYM06OzpUbmiuh0Hr92KKLCVdhTacGqzWVyl0MUsBhmiIKI2y3w6H92osPhwvjMWFydo5O7JDqD+EgNHrlyMADguU/3oaHNLnNFRIGJYYYoiLxWeBTflzZCF6bEcz8eAQX7l/ze7PEZGJoUBYutk3PPEPUSwwxRkDhS14Zn13p+GP7mmiFIj2OrTCBQKiT88YY8AMC/t1RwMDBRLzDMEAUBl1vgkXd2wuZ045KceO88JhQYxmTE4oaRyQCAJz/eCyE4GJjoXDDMEAWBl745gm1lzdBrVHjmR8M5OV4AevSqXGhUCnxf2oj1ezlom+hcMMwQBbj95lYsXXcAAPC7a4ciOVorc0XUGynRWvz84kwAwNNr9sHp4txARGeLYYYogNmcLjz41nY4XG5MyU3ETWNS5S6JzsMvJ2cjPjIMR+rb8VZRudzlEAUMhhmiAPbMp/uwz9yK+Mgwdi8FAX24GvdPyQEALP/iIGxOl8wVEQUGhhmiAPXV/lq8+t1RAMBzPx6BBL1G3oKoT9wyLg0p0VrUWOx4fdMxucshCggMM0QBqL7Njkfe2QUAuH3iAFyWmyhzRdRXNColHrh8IABgxVeH0W7nqtpEPWGYIQowQggs+M8u1LfZMdiox6+vzpW7JOpjM0enYkCcDg3tDrxWeFTucoj8HsMMUYD516Zj+GJfLcJUCjx/60iEq5Vyl0R9TK1U4MErPGNnXv62FFYHx84QnQnDDFEA2V3Rgic/8iwiufDqXOSaomSuiHzl2uHJSI/VobHdgTe5CCXRGTHMEAWIlg4n5q3aCofLjSuGGHH7xAFyl0Q+pFIqcM+kbADAi18fgb2TrTNEp8MwQxQAhBD41Ts7Ud5oRVqsFn++aQQfww4BPxqTAmOUBmaLDau3VcpdDpHfYpghCgAvfn0En5XUIEylwIrZY2DQqeUuifqBRqXEXZdkAQD+vuEw3G6u2UR0KgwzRH7u+yMNeHbtfgDA49cORX6KQeaKqD/NGp8Og1aNow0d+HxfrdzlEPklhhkiP1bXasf9b26Hyy1w46gUzBrH1bBDjS5MhVnHV0H/v2+OyFwNkX9imCHyUy63wINvbUdtqx05iZF46sZ8jpMJUXMnDIBKIeH70kbsqWyRuxwiv6OSuwAiOrVlnx1A4eEG6MKUWDFnNHRh/OfqL0pKSvrtXHa7HRqNBhNTNfi6zIbnPtyKB8dH+/Sc8fHxSE9nKyAFDt4difzQl/tr8dcvDgEAnv7RcAxM1MtcEQGApbEOADBnzpx+PKsEQCDMmI2k25/HV0da8caCm+Bqa/TZGbU6HfaVlDDQUMBgmCHyM5XNVjz09g4AwG0XZuC6EcnyFkRe1jYLAGD63YswePgYn5+vZPMGrFn5vPd8X9W40WBXYdpvXsEQg9sn56wpO4w3nnkU9fX1DDMUMBhmiPyIo9ONeW9sQ3OHE8NTDfjtjCFyl0SnEJecgdScPJ+fp6bscLfzjdVbsLa4BmW2cFw+egAUCo6hIgI4AJjIryz+pAQ7y5th0Krxt1mjoVFx3SX6n4GJkdCqlWizd+JIfbvc5RD5DYYZIj/x8a5q7wrJf7l5BNJidfIWRH5HpVAgL9mzHteuymZ5iyHyI7KGmYKCAkiS1G0zmUze14UQKCgoQHJyMrRaLSZPnozi4mIZKybyjdL6djz27i4AwC8nZ2NKrlHmishfDTs+aWJ5oxVNHQ6ZqyHyD7K3zOTl5aG6utq77d692/vas88+i6VLl2L58uUoKiqCyWTC1KlT0draKmPFRH3L5nTh3je2oc3eiXEDYvGrqYPkLon8WJRWjQFxnla74kqLzNUQ+QfZw4xKpYLJZPJuCQkJADytMsuWLcOiRYswc+ZM5OfnY+XKlejo6MCqVatkrpqo7zzx373YW21BXEQY/t+to6BSyv7Pkvxc15IWe6stcHG9JiL5w8zBgweRnJyMzMxM3HLLLThyxDNdd2lpKcxmM6ZNm+Y9VqPRYNKkSSgsLJSrXKI+tXp7Bd7cXAZJApbdMhImQ7jcJVEAGBAXAV2YElanC6UcCEwkb5gZP348/vnPf2Lt2rV46aWXYDabMXHiRDQ0NMBsNgMAjMbuYweMRqP3tVOx2+2wWCzdNiJ/dKi2Db95bw8A4P4pObgkJ0HmiihQKBUShiR5BgIXV3F5AyJZw8zVV1+NH/3oRxg2bBiuuOIKfPzxxwCAlStXeo/54Vo0Qogzrk+zZMkSGAwG75aWluab4onOg6PTjQff2g6r04WJ2XF48PIcuUuiAJN3PMwca+hAm61T5mqI5CV7N9OJIiIiMGzYMBw8eND7VNMPW2Fqa2tPaq050cKFC9HS0uLdysvLfVozUW8s++wAiqssiNap8ZebR0LJyc/oHMVEhCHZEA4BYK+ZLdAU2vwqzNjtdpSUlCApKQmZmZkwmUxYv36993WHw4ENGzZg4sSJp/0MjUaDqKiobhuRPyk62oi/b/DM7Lr4xmEwRnGcDPXO0ONzzuyrtkAIDgSm0CXrcgaPPPIIrr32WqSnp6O2thZPPvkkLBYL5s6dC0mSMH/+fCxevBg5OTnIycnB4sWLodPpMGvWLDnLpiBSVlaG+vr6fjufNioGD71bCrcAfjQ6FdcMS+q3c1PwGZgYiS/316Gpw4m6VjsSGYwpRMkaZioqKnDrrbeivr4eCQkJuPDCC7Fp0yZkZGQAABYsWACr1Yp58+ahqakJ48ePx7p166DXcwVhOn9lZWXIHTIE1o6Ofjtn4rW/gnboZUiN0aLguqH9dl4KThqVElnxEThY24Z9Na0MMxSyZA0zb7311hlflyQJBQUFKCgo6J+CKKTU19fD2tGB2Y89B2N6ts/PV1xWi31IhQRg6U9GQh+u9vk5KfgNNulxsLYNB8ytuHhgPBRneECCKFhx1WwKecb0bJ+vgNzh6MSRCjXgBm7MjcC4zFifno9Cx4C4CGhUCrQ7XKhosiKda3pRCPKrAcBEwerrA/VwuCU4aktxcx67SanvKBUScoyRAID9Zi71QqGJYYbIx0rr27G/phWAQMOa/we1kt0A1LdyjZ6nmg7VtqHT5Za5GqL+xzBD5EOOTje+3F8LAMjRu+EwH5S5IgpGydHh0Ier4HC5ubwBhSSGGSIf2lzaiFZbJ6LCVRhqcMldDgUpSZIw2OjpvtzHriYKQQwzRD7S2O7A9vImAMDkwYlQ8V8b+dBgkyfMHG1oh83J4EyhhbdXIh8QQuDL/bVwCyArPgKZ8RFyl0RBLj5Sg/jIMLgFcLC2Te5yiPoVH80m8oGDtW2oaLJCqZBw6aDuq2GXlJT0Wx39eS6S32CTHvWHGrDf3IphKQa5yyHqNwwzRH2s0+XGt4c8SySMzYiBQeuZHM/SWAcAmDNnTr/X1NbG39RDwWCjHt8dakBlsxWtNicnZqSQwTBD1Md2VDSj1daJSI0KYzJivPutbZ6VjaffvQiDh4/pl1pKNm/AmpXPw2az9cv5SF76cDWSo8NR1WzDodo2jEqP6flNREGAYYaoD3U4OlFU6hn0OyE7DmrlycPS4pIzfD7jcJeassP9ch7yHzmJelQ123CQYYZCCAcAE/WhzaWNcLjcSNBrMMTEmX6p/w1M8MwGXN1iQ5utU+ZqiPoHwwxRH2mxOrG7sgUAcMnAeEhc8I9kEBmuQpLBs3r24TqOlaLQwDBD1Ee+L22AWwDpsTqkcbE/ktHARE/rDB/RplDBMEPUBxrbHdhX7Zl5dUJ2nMzVUKjr6mqqbLai3c6uJgp+DDNEfWDjkQYIANkJETBFhctdDoW4KK0axigNAHY1UWhgmCE6T3Wtdhw63px/YRZbZcg/dHU1HWJXE4UAhhmi81R0tBEAkJMYifhIjczVEHl0dTVVNFvR4WBXEwU3hhmi89DY7vAOsrxgQKzM1RD9T7QuDAl6DYQAjtS1y10OkU8xzBCdhy3HW2Wy4iOQoGerDPkXdjVRqGCYIeqlFqsT+2o8TzCNy2SrDPmfnONhprypAzanS+ZqiHyHYYaol7aVNUEIICNWByOfYCI/FKMLQ1xkGNzsaqIgxzBD1AtWhwt7qzwLR564mCSRv8lJ6JpAr1XmSoh8h2GGqBd2VTaj0y2QqNcgNUYrdzlEp5Xd1dXUaIWj0y1zNUS+wTBDdI46XW7sLPeswTQ6PYZrMJFfi4sIQ7RWDZcQONrAriYKTr0KM1lZWWhoaDhpf3NzM7Kyss67KCJ/VmJuhdXpgj5c5R1gSeSvJEnyts4c5lNNFKR6FWaOHj0Kl+vkkfF2ux2VlZXnXRSRvxJCYEd5MwBgVFo0FAq2ypD/65pAr7ShHZ0udjVR8FGdy8Effvih9/+vXbsWBoPB+2eXy4XPP/8cAwYM6LPiiPxNeZMVje0OqJUShiZHyV0O0VkxRmkQoVGi3e5CeZMVmfERcpdE1KfOKczccMMNADzNlnPnzu32mlqtxoABA/DnP/+5z4oj8jc7j7fKDEmKgkallLcYorMkSRKy4yOxq7IFh+vaGGYo6JxTmHG7Pc2TmZmZKCoqQnx8vE+KIvJHLVYnjtR7BlCOSI2Wtxiic5Sd6AkzR+ra4c4VUHDgOgWRcwozXUpLS/u6DiK/t6uiGQCQHqtDbESYvMUQnaOUaC00KgWsTheqmq1IjdHJXRJRn+lVmAGAzz//HJ9//jlqa2u9LTZdXnnllfMujMifdLrcKD4+Sd6INEMPRxP5H6VCQlZCBEqqW3G4rp1hhoJKr55meuKJJzBt2jR8/vnnqK+vR1NTU7eNKNgcqmuDvdMNfbgKA+I43oACU/bxp5oO17VBCCFzNUR9p1ctM3//+9/x2muv4bbbbuvreoj80p5KT6tMXlIUxxpQwMqI1UGlkNBq60Rtq51rilHQ6FXLjMPhwMSJE/u6FiK/1NThQGWzFRLAx7EpoKmUCm/L4uE6TqBHwaNXYebOO+/EqlWr+roWIr9UfLxVJiNOB324WuZqiM5PduLxMFPLpQ0oePQqzNhsNixduhSTJk3C/fffj4cffrjb1htLliyBJEmYP3++d58QAgUFBUhOToZWq8XkyZNRXFzcq88n6g2XW2BvtSfM5Kdw4C8Fvsy4CCgkoLHDgcZ2h9zlEPWJXo2Z2bVrF0aOHAkA2LNnT7fXerPoXlFREV588UUMHz682/5nn30WS5cuxWuvvYZBgwbhySefxNSpU7F//37o9frelE50To7UtcHqdCEiTIlMDvylIKBRK5EWo8Oxxg4crmtDbESs3CURnbdehZkvv/yyzwpoa2vD7Nmz8dJLL+HJJ5/07hdCYNmyZVi0aBFmzpwJAFi5ciWMRiNWrVqFu+++u89qIDqdPccfxx6aHMV1mChoZCdEesPMBQMYZijw9aqbqS/de++9mD59Oq644opu+0tLS2E2mzFt2jTvPo1Gg0mTJqGwsLC/y6QQ1GJ1oqyxAwCQl8wuJgoeWQmeVsYaix2tNqfM1RCdv161zFx22WVn7E764osvzupz3nrrLWzbtg1FRUUnvWY2mwEARqOx236j0Yhjx46d9jPtdjvsdrv3zxaL5axqIfqh4qoWAJ4Zfw1aDvyl4BGhUSHJEI7qFhsO17VjZFq03CURnZdehZmu8TJdnE4nduzYgT179py0AOXplJeX48EHH8S6desQHn76uQ5+GJqEEGcMUkuWLMETTzxxVjUQnY77xIG/fBybgtDAxMjjYaaNYYYCXq/CzF/+8pdT7i8oKEBb29nNXbB161bU1tZizJgx3n0ulwtff/01li9fjv379wPwtNAkJSV5j6mtrT2pteZECxcu7PZElcViQVpa2lnVRNTlaEM72u0uaNVKZB2fNZUomGQnROKbg/WobLLC6nBBG8ZV4Clw9emYmTlz5pz1ukyXX345du/ejR07dni3sWPHYvbs2dixYweysrJgMpmwfv1673scDgc2bNhwxgn7NBoNoqKium1E56rE3AoAyDXpoeTAXwpCBq0aCZEaCABH6jmBHgW2Xi80eSobN248Y5fRifR6PfLz87vti4iIQFxcnHf//PnzsXjxYuTk5CAnJweLFy+GTqfDrFmz+rJsom7sThdK6z0Tig1JYhim4JWdEIG6NjsO17VzkDsFtF6Fma5HpbsIIVBdXY0tW7bgd7/7XZ8UBgALFiyA1WrFvHnz0NTUhPHjx2PdunWcY4Z86mBtG1xugbiIMMRHhsldDpHPZCdGYlNpI8oaO+DodCNMJfsDrkS90qswYzB0T/AKhQKDBw/GH/7wh26PUp+rr776qtufJUlCQUEBCgoKev2ZROeqxOwZ+JubpO/VJJBEgSIuIgwGrRotVieONbQjx8hfFCkw9SrMvPrqq31dB5FfsFidqGq2AQAG88ZOQU6SJAxMiMTWsiYcqmtjmKGAdV5jZrZu3YqSkhJIkoShQ4di1KhRfVUXkSz2HR/4mxaj5aKSFBKyEyOwtawJR+s70Ol2y10OUa/0KszU1tbilltuwVdffYXo6GgIIdDS0oLLLrsMb731FhISEvq6TiKfE0L8r4vJxIG/FBpMUeGICFOi3eFCeaMVjPAUiHo12uv++++HxWJBcXExGhsb0dTUhD179sBiseCBBx7o6xqJ+kWNxY7mDidUCgkDEzm3DIUGSZK8cykdruMj2hSYehVmPv30U6xYsQJDhgzx7hs6dCj+9re/Yc2aNX1WHFF/2ne8VSYrIYJPdVBI6QrvR+raIYTMxRD1Qq/u2G63G2r1yY2RarUabva5UgByuQUO1Hh+Kx3CLiYKMSnRWmhUClidLtTb+QQfBZ5ehZkpU6bgwQcfRFVVlXdfZWUlHnroIVx++eV9VhxRfznW0A6r0wVdmBLpsTq5yyHqV0qFhKx4z0raVVa2SlLg6dW3dvny5WhtbcWAAQOQnZ2NgQMHIjMzE62trfjrX//a1zUS+VzXU0yDjHoouHwBhaDs411NVR0MMxR4evU0U1paGrZt24b169dj3759EEJg6NChuOKKK/q6PiKfc7qBI8eXL8g1cZ4NCk3psTqoFBI6XECYMVvucojOyTlF8C+++AJDhw6FxeIZKDl16lTcf//9eOCBB3DBBRcgLy8P33zzjU8KJfIVs1UBl1vAoFUjUa+RuxwiWaiVCmTEebpYdYMmyFwN0bk5pzCzbNky3HXXXadcidpgMODuu+/G0qVL+6w4ov5QcbxZfZAxkssXUEgbePwRbS3DDAWYcwozO3fuxFVXXXXa16dNm4atW7eed1FE/UUK08Js9QSYnER2MVFoy4yPgASBsPgMVFo65S6H6KydU5ipqak55SPZXVQqFerq6s67KKL+os2+AG5IiNaquUI2hTyNWomEcM9EM99X2mSuhujsnVOYSUlJwe7du0/7+q5du5CUlHTeRRH1l4jcSwAAOexiIgIApGg9c4UxzFAgOacwc8011+D3v/89bLaTv+RWqxWPP/44ZsyY0WfFEfmS1emGNmsMAHYxEXVJ1rkhhBsHG52obrHKXQ7RWTmnR7N/+9vf4r333sOgQYNw3333YfDgwZAkCSUlJfjb3/4Gl8uFRYsW+apWoj5VVGWHpApDpEqwi4nouHAlYK/ch/DUoVhXXIO5EwfIXRJRj84pzBiNRhQWFuKXv/wlFi5cCHF8EQ9JknDllVfihRdegNFo9EmhRH2tsMLzW2eqzs0uJqITdBzYiPDUoVhbbGaYoYBwzpPmZWRk4JNPPkFTUxMOHToEIQRycnIQExPji/qIfKLV5sT2ajsAT5ghov+xHigEpvwc35c2oqndgZgItlySf+v1vNUxMTG44IILMG7cOAYZCjhf7KuF0w04GyoQpeYywUQn6mypwYBoFVxugc9KauQuh6hHXISDQtJHu6oBAO37vwV7mIhONj4lHACwttgscyVEPWOYoZDTanNiwwHPfEgd+76VuRoi/9QVZr4+WI92OyfQI//GMEMh5/OSWjg63UjRK+GsOyp3OUR+KcOgQkacDo5Otzf8E/krhhkKOV1dTBPTtDJXQuS/JEnClXkmAMCne9jVRP6NYYZCSqvNia+P/5Y5MTVc5mqI/FtXmPlyXy3snS6ZqyE6PYYZCimfldTA4XIjOyEC6YZznpmAKKSMSotGol6DVnsnCg83yF0O0WkxzFBI+XiXp7l8+rAkTpRH1AOFQsK0PM9EqGt2V8tcDdHpMcxQyLCc0MU0fXiyzNUQBYbpwzz/VtbsMbOrifwWwwyFjM9P6GIaZIyUuxyigDAuMxamqHC02jrx1X4+1UT+iWGGQsbHx59imj48mV1MRGdJqZBw7YgkAMCHO6pkrobo1BhmKCR4upjqAXjGyxDR2bt+ZAoAzwD6VptT5mqITsYwQyHhs72eLqaBiZHsYiI6R3nJUchOiIC90411xVyrifwPwwyFhE+OP4lxDZ9iIjpnkiR5W2c+2MmuJvI/DDMU9E7sYpoxnF1MRL1x3QjPU03fHapHXatd5mqIumOYoaDXvYtJL3c5RAFpQHwERqRFw+UW+HgXW2fIvzDMUNDzPsXEgb9E5+X6460z7Goif8MwQ0GtxerENwePP8XELiai8zJjeBIUErC9rBllDR1yl0PkJWuYWbFiBYYPH46oqChERUVhwoQJWLNmjfd1IQQKCgqQnJwMrVaLyZMno7i4WMaKKdB0dTHlsIuJ6LwlRoVjYnY8AODDnZUyV0P0P7KGmdTUVDz99NPYsmULtmzZgilTpuD666/3BpZnn30WS5cuxfLly1FUVASTyYSpU6eitbVVzrIpgHy8u2uiPLbKEPWF60Z6upre31EFIYTM1RB5yBpmrr32WlxzzTUYNGgQBg0ahKeeegqRkZHYtGkThBBYtmwZFi1ahJkzZyI/Px8rV65ER0cHVq1aJWfZFCA8XUzH12LieBmiPnFVvglhKgUO1bZhT6VF7nKIAPjRmBmXy4W33noL7e3tmDBhAkpLS2E2mzFt2jTvMRqNBpMmTUJhYeFpP8dut8NisXTbKDSt31sDp0tgkDESOexiIuoTUeFqXJlnAgD8e0u5zNUQecgeZnbv3o3IyEhoNBrcc889WL16NYYOHQqz2QwAMBqN3Y43Go3e105lyZIlMBgM3i0tLc2n9ZP/OnGiPCLqOz8ZmwoA+GBHJWxOrqRN8pM9zAwePBg7duzApk2b8Mtf/hJz587F3r17va//cLZWIcQZZ3BduHAhWlpavFt5OX9zCEXsYiLynYuy45ESrYXF1om1xaf/5ZKov8geZsLCwjBw4ECMHTsWS5YswYgRI/D888/DZPI0Y/6wFaa2tvak1poTaTQa79NRXRuFHnYxEfmOQiHhx2M8rTPvbKmQuRoiPwgzPySEgN1uR2ZmJkwmE9avX+99zeFwYMOGDZg4caKMFVIg6JqhdPqwZJkrIQpOXWHmu8P1KG/knDMkL1nDzG9+8xt88803OHr0KHbv3o1Fixbhq6++wuzZsyFJEubPn4/Fixdj9erV2LNnD26//XbodDrMmjVLzrLJz7V0OPHtoa6J8kwyV0MUnNJidbhoYByEAP6zla0zJC+VnCevqanBbbfdhurqahgMBgwfPhyffvoppk6dCgBYsGABrFYr5s2bh6amJowfPx7r1q2DXs9uAzq9dXvNcLoEBhv1GJjI7wqRr/xkbBq+O9SA/2ytwIOX50Ch4Ir0JA9Zw8zLL798xtclSUJBQQEKCgr6pyAKCp9wojyifnFlnglR4SpUNltReLgBF+fEy10ShSi/GzNDdD5O7GLiI9lEvhWuVuL6kSkAOOcMyYthhoJKVxdTrkmPgYmRcpdDFPRuvsAzl9enxWa0dDhlroZCFcMMBZWPOVEeUb/KS47CkKQoODrdeH8HF58keTDMUNBo6XDi24PsYiLqT5Ik4ebjMwKv+r6Mi0+SLBhmKGis3WtGp5tdTET97cbRqdCFKbG/phXflzbKXQ6FIIYZChrep5jYKkPUrwxaNW4c5RkI/M+NR+UthkISwwwFheYOx/+6mPhINlG/++mEAQCAtcU1qGq2ylsMhRyGGQoK64prvF1M2QnsYiLqb4NNelyYFQuXW2DV92Vyl0MhhmGGgsLH7GIikt3c460zb24ug73TJW8xFFIYZijgNbY78J13LSaGGSK5TB1qRJIhHA3tDu8YNqL+wDBDAe/TPZ6nmPKSo5DFLiYi2aiUCswenw4AWFl4TOZqKJTIujYT0Q+VlZWhvr7+nN7z5ncNAIBRcQLbtm076/eVlJSc03mIqGe3jEvH//v8EHaUN2NneTNGpEXLXRKFAIYZ8htlZWXIHTIE1o6Os36PIiIaqfNWQlIo8fS8m/CUpfacz9vW1nbO7yGiU4uP1GD68CSs3l6Jf248hj8zzFA/YJghv1FfXw9rRwdmP/YcjOnZZ/WeQ60K7GxSIjbMjR8t+fs5na9k8wasWfk8bDZbb8olotP46YQMrN5eif/uqsLCa3IRH6mRuyQKcgwz5HeM6dlIzck7q2M3bikHYENeRiJS02PO6Tw1ZYd7UR0R9WRkWjRGpBqws6IF/yw8ioenDZa7JApyHABMAavV5kRVi6dVZVCiXuZqiKiLJEm4e5KndXXlxmNot3fKXBEFO4YZClgHaz1jXZKjwxEZzkZGIn9yZZ4JmfERaLE68VZRudzlUJBjmKGAdaCmFQBbZYj8kVIh4a5LsgAAL39zBE6XW+aKKJgxzFBAarE6UWOxQwK4QjaRn5o5OgXxkRpUtdjw351VcpdDQYxhhgJSV6tMaowWERp2MRH5o3C1Ej+7aAAA4B8bjkAIIW9BFLQYZiggHazxjJcZZGQXE5E/m3NhBiI1KuyvacWX+899Hiiis8EwQwGnqd2BujY7FBKQzS4mIr9m0Kox6/gSB3//6ojM1VCwYpihgLPveBdTWqwOWrVS5mqIqCd3XJQJtVLC5qON2HqsSe5yKAgxzFBAEUJgv9kTZnJN7GIiCgQmQzhuHJUCAFjx1SGZq6FgxDBDAcVssaHF6oRaKSGbK2QTBYx7JmVDIQGfldRiV0Wz3OVQkOFjIBRQ9lV7WmWyEyKhVjKLE/mKL1aVvyRdiw3HrHji3S1YdEmsd398fDzS09P7/HwUOhhmKGC43AIHatnFRORLlsY6AMCcOXP6/LNVMclIvnMFtlbbMWHGrXBUHwAAaHU67CspYaChXmOYoYBxrKEdNqcbujAl0mJ0cpdDFJSsbRYAwPS7F2Hw8DF9/vlbGoBj7cDIX/wJFyd2oqbsMN545lHU19czzFCvMcxQwNh3fODvYKMeCoUkczVEwS0uOeOsV68/F/pUJ1ZuPIoamwLKxCwY+/wMFIo46IACgr3ThSP17QDYxUQUyAxaNYYmRQEANh1plLkaChYMMxQQDtW2weUWiNWFIUGvkbscIjoP4wbEQiEBZY0dqLexlZXOH8MMBQRvF1OSHpLEmx9RIIs6oXVmbwsnvqTzxzBDfq/V5kRFkxUAkMu1mIiCwgWZntaZOrsC4enD5S6HAhzDDPm9A8cXlUyODkeUVi1zNUTUF6LC1RiWYgAARE/+GdxcUZvOA8MM+TUhBErMnkdFc01RMldDRH1pXGYsVJKAJikHheU2ucuhAMYwQ36tptWOhjYHlAoJOVwhmyio6MJUGBTlAgC8sbsV9k6XzBVRoJI1zCxZsgQXXHAB9Ho9EhMTccMNN2D//v3djhFCoKCgAMnJydBqtZg8eTKKi4tlqpj6W3FVCwBgYEIkwrlCNlHQydG70dnagJp2F17fVCZ3ORSgZA0zGzZswL333otNmzZh/fr16OzsxLRp09De3u495tlnn8XSpUuxfPlyFBUVwWQyYerUqWhtbZWxcuoPTpcbB8ye8TJ5yexiIgpGKgXQ8t0qAMDyLw6ixeqUuSIKRLKGmU8//RS333478vLyMGLECLz66qsoKyvD1q1bAXhaZZYtW4ZFixZh5syZyM/Px8qVK9HR0YFVq1bJWTr1g0O1bXC43IgKVyE1Rit3OUTkI2271iM1SoWmDif+vuGw3OVQAPKrMTMtLZ4uhdhYz2qqpaWlMJvNmDZtmvcYjUaDSZMmobCw8JSfYbfbYbFYum0UmIqrPP/t8pINnFuGKJgJN+YM80y78Mq3pahuscpcEAUavwkzQgg8/PDDuPjii5Gfnw8AMJvNAACjsfvqHUaj0fvaDy1ZsgQGg8G7paWl+bZw8onmDgcqm62QAAxJ4twyRMHugmQNxg2Ihb3TjT+tPSB3ORRg/CbM3Hfffdi1axfefPPNk1774W/lQojT/qa+cOFCtLS0eLfy8nKf1Eu+1dUqkx6ngz6cc8sQBTtJkrDwmlwAwLvbKrCzvFnegiig+EWYuf/++/Hhhx/iyy+/RGpqqne/yWQCgJNaYWpra09qremi0WgQFRXVbaPA4hZASfXxLqYk/vcjChWj0mNw46gUAMAT/y2G4ER6dJZkDTNCCNx3331477338MUXXyAzM7Pb65mZmTCZTFi/fr13n8PhwIYNGzBx4sT+Lpf6SY1NQrvDBa1aiawEzi1DFEoeuyoXujAltpU144MdVXKXQwFC1jBz77334vXXX8eqVaug1+thNpthNpthtXoGf0mShPnz52Px4sVYvXo19uzZg9tvvx06nQ6zZs2Ss3TyoaNtnvlkck16KBUc+EsUSkyGcNx72UAAwJI1JWi3d8pcEQUCWcPMihUr0NLSgsmTJyMpKcm7vf32295jFixYgPnz52PevHkYO3YsKisrsW7dOuj1HBQajBS6aFRbPQGGc8sQhaafX5yJtFgtaix2vPDVIbnLoQAgezfTqbbbb7/de4wkSSgoKEB1dTVsNhs2bNjgfdqJgk/ksCsgIMEUFY64SI3c5RCRDMLVSiy6ZigA4KVvSlHW0CFzReTv/GIAMBEAuNwC+lHXAACGpRpkroaI5HRlnhEXDYyDo9ONpz7ZK3c55OcYZshvFFXZoTIkIkwhMIiLShKFNEmS8PsZeVAqJKwtrsE3B+vkLon8GMMM+Y01hzxrcmVGuqFS8qtJFOoGm/S47cIMAMDvPyiGzclVtenU+BOD/MLBmlbsrnVAuF3IiuQNi4g8Hp42CAl6DUrr2/GPDUfkLof8FMMM+YWVG48CADoOboJOJW8tROQ/osLV+N0Mz2Dgv311CMca2mWuiPwRwwzJzmJz4r1tlQCA1m0fyVwNEfmba4cn4eKB8XB0uvH7DzgzMJ2MYYZk958tFehwuJAWpYK9bLfc5RCRn5EkCX+4Pg9hSgU2HKjDmj2nXmiYQhfDDMnK7Rb416ZjAIBrBupkroaI/FVWQiTumZwNAPjDf/eijTMD0wkYZkhW3xyqR2l9O/QaFS7N0MpdDhH5sXmTs5ERp4PZYsPSdQfkLof8CMMMyWpl4VEAwI/HpkKr5teRiE4vXK3EH673zAD/WmEpdpY3y1sQ+Q3+9CDZHKptxRf7aiFJwE8nDJC7HCIKAJMGJeCGkclwC+Cxd3fB0emWuyTyAwwzJJuXvi4FAEwdYkRmfITM1RBRoPj9tXmIjQjDPnMr/r7hsNzlkB9gmCFZ1FpsWL3d8zj23ZOyZa6GiAJJbEQYCq7LAwD89YuDOFjTKnNFJDeGGZLFq4VH4XC5MTYjBmMyYuQuh4gCzLXDk3B5biKcLoEF7+6Cy825Z0IZwwz1u1abE68ffxz7F5dmyVwNEQUiSZLw5I35iNSosL2s2fswAYUmhhnqd//adAyttk5kJ0TgiiFGucshogCVZNBi4TW5AIDn1u5HWUOHzBWRXLgKDvWrDkcn/u8bz8Dfey8bCIVCkrkiIvIHJSUlvXrfYJVAXkIYiuscuOfV7/DE5Fgoe7ivxMfHIz09vVfnI//EMEP96s3N5WhsdyA9VofrRiTLXQ4RyczSWAcAmDNnTq8/Q2UwIumO5dhbD1w+7ym0Fq0+4/FanQ77SkoYaIIIwwz1G5vThX8cf4xy3uRsqJTs5SQKddY2CwBg+t2LMHj4mF5/TmmbAtsagfgpd+DmWT9FVNipBwTXlB3GG888ivr6eoaZIMIwQ/3m31vKUdtqR7IhHDNHp8pdDhH5kbjkDKTm5PX6/SlCoHFnFY42dGBHeyRuHpLWY3cTBQ/+akz9wupwYfkXhwAAv7xsIMJU/OoRUd+RJAlXDDEiXKVAXasdm0sb5S6J+hF/olC/eH3TMdS22pESrcXNY9PkLoeIglCERoUpuYkAgKJjjTC32GSuiPoLwwz5XJu9EyuOj5V58IoctsoQkc/kGPUYbNRDCGBtsZlrN4UI/lQhn3v121I0tjuQFR+BmaNS5C6HiILc5MEJiNSo0Gx14qv9tXKXQ/2AYYZ8qr7Njn98fQQAMH/qID7BREQ+F65W4qo8EyQAJeZWlFRb5C6JfIw/Wcin/t/nB9Fm78SwFANmDEuSuxwiChEpMVpcmBUHAPhyfy2a2h0yV0S+xDBDPnOkrg2rvi8DACy8Jpez/RJRvxo7IAapMVo4XQKf7KlGp4vjZ4IVwwz5zDOf7kOnW2BKbiImZsfLXQ4RhRiFJOHKPBO0aiXq2xz49lC93CWRjzDMkE98d6gea4troJCAX1+dK3c5RBSiIjUqTBvqWdB2Z0ULKjrYQhyMGGaozzldbjzx32IAwG0XZmCQUS9zRUQUygbER2BMegwAYEuDCur4DJkror7GMEN97l8bj+FATRtidGo8NHWQ3OUQEWFidhxSY7RwCQkJMxehzcHxM8GEYYb6VH2bHX/57AAA4NErcxGtC5O5IiIiQKGQcE1+EnRKAXVMMpZtaobLferFKCnwMMxQn/rjR3vRautEfkoUbr6AyxYQkf/QhikxIaETbqcd28x2LF2/X+6SqI8wzFCf2XCgDh/sqIJCAhbfOIwr1hKR34kOE2j89K8AgL99eRhrdlfLXBH1BYYZ6hNWhwu/fX83AGDuxAEYnhotb0FERKfRvvcrXDsoAgDw8L93YldFs7wF0XljmKE+8ZfPDqC80YokQzh+NW2w3OUQEZ3RT4frcUlOPKxOF+54rQjljR1yl0TnQdYw8/XXX+Paa69FcnIyJEnC+++/3+11IQQKCgqQnJwMrVaLyZMno7i4WJ5i6bS2HmvES9941l968oZ8RGpUMldERHRmSoWEF2aPxpCkKNS3OTD31c1c8iCAyRpm2tvbMWLECCxfvvyUrz/77LNYunQpli9fjqKiIphMJkydOhWtra39XCmdjtXhwiPv7IIQwMzRKbh8iFHukoiIzoo+XI1Xb78ASYZwHKlrxy/+tQU2p0vusqgXZA0zV199NZ588knMnDnzpNeEEFi2bBkWLVqEmTNnIj8/HytXrkRHRwdWrVolQ7V0Ks+u3YfS+nYYozR4fEae3OUQEZ0TkyEcr/1sHPThKhQdbcKv3tkJNx/ZDjh+O2amtLQUZrMZ06ZN8+7TaDSYNGkSCgsLT/s+u90Oi8XSbSPf+Gp/LV797igA4OmZw2HQqeUtiIioFwab9PjHnDFQKyV8vKsaj39YDCEYaAKJ34YZs9kMADAau3dbGI1G72unsmTJEhgMBu+Wlsa5Tnyhvs2OR97ZBQD46YQMXJabKHNFRES9N3FgPP500whIEvCvTcfw5MclDDQBxG/DTBdJ6j5XiRDipH0nWrhwIVpaWrxbeXm5r0sMOW63wIL/7EJ9mx2DjJH4zTVD5C6JiOi8XT8yBUtuHAYAePnbUjy7dj8DTYDw28dOTCYTAE8LTVJSknd/bW3tSa01J9JoNNBoND6vL5S9+M0RfLGvFmEqBf7fraMQrlbKXRIRUZ+4ZVw6nC43fvdBMVZ8dRhhSgXXmAsAftsyk5mZCZPJhPXr13v3ORwObNiwARMnTpSxstC26UgDnlvrmQK84No85JqiZK6IiKhv3TZhAH43YygA4PnPD2L5Fwdlroh6ImvLTFtbGw4dOuT9c2lpKXbs2IHY2Fikp6dj/vz5WLx4MXJycpCTk4PFixdDp9Nh1qxZMlYdumotNtz/5na43AIzR6Xg1nEcj0REgamkpOSMr4/SAbcN1+Nfu1rxp3UHcLisEnOG6c84zOF04uPjkZ6e3ttS6SzIGma2bNmCyy67zPvnhx9+GAAwd+5cvPbaa1iwYAGsVivmzZuHpqYmjB8/HuvWrYNer5er5JBlc7pw9+tbUdfqGSfz5I35vfpHTUQkJ0tjHQBgzpw5Z3V81LiZiLnsDqze145/vv0eGtf+DRDuczqnVqfDvpISBhofkjXMTJ48+YyDqyRJQkFBAQoKCvqvKDqJEAK/fX8Ptpc1IypchX/cNha6ML8dbkVEdFrWNs90HdPvXoTBw8ec1XtK2zqxrVEJ/YgrMfjCqRgX3wnlWf4uV1N2GG888yjq6+sZZnyIP5GoR//3TSn+s7UCCglYPms0MuMj5C6JiOi8xCVnIDXn7Cb6TAWQVNuGT/eYUWVVYEubAdcOT0aYym+HnYYc/pegM/pgRyWe+sTTt7xo+lBcOihB5oqIiPrfwMRIXD8yGWqlhIomK/69tRwWq1Pusug4hhk6re8O1eORd3YCAH520QDccdEAeQsiIpJRWqwOPxqdCl2YEg1tDrxVVI7KZqvcZREYZug0iqtacPe/tsLpEpg+PAm/mz6UA36JKOQZo8JxywVpSNRrYHW68N62ChRXtchdVshjmKGTlDd24PZXi9Bm78SFWbFY+pMRUCgYZIiIAM9q2z8ek4qBiZFwC+Czklp8fbCOC1TKiGGGuqlttWHuq5tR12pHrkmPf9w2FhoVZ/glIjqRWqnANfkmjMuMBQBsL2vGu9sr0GbrlLmy0MSnmcir1mLDrS9twpG6diQbwvHaz8ahpa4ah+vr++X8PU1iRUTkTyRJwoSsOMRHhuGzvbWoarZh1eYyXJlnREYcn/rsTwwzBACosdhw64ubcKTeE2Te+sUEOFpqkTtkCKwdHf1aS1tbW7+ej4jofOQk6pEQqcEnu82oa7Pj/R1VGJcZi/HHW23I9xhmqFuQSYnW4s27LkR6nA7bjtXD2tGB2Y89B2N6ts/rKNm8AWtWPg+bzebzcxER9aVoXRh+MjYVGw7UYU+VBZtLG1HR1IHhOrkrCw0MMyHO3OLpWio9HmTe+sWFSIvt/q/PmJ591pNLnY+assM+PwcRka+olApcPsSIlBgtvtjn6XaqbVEjIu+yM852T+ePA4BD2IGaVsx84bszBhkiIjo3uaYozB6fgSRDODqFhPgZv8KfNzajucMhd2lBi2EmRG060oAfryhEVYsNWfERDDJERH3IoFXjx6NTkWfohHB1orDChiuXfY31e2vkLi0oMcyEoI92VeGnL2+GxdaJMRkxePeXExlkiIj6mEIhIdfghvn1R5CiV6LGYsdd/9yC+9/cjoY2u9zlBRWGmRAihMBLXx/Bfau2w+Fy48o8I964czxiIsLkLo2IKGg5zIfwp6kJuHtSFhQS8N+dVZj6l6/xwY5KjqXpIwwzIcLqcOHhf+/0Lho5d0IGXpg9BuFqTohHRORrGpWEhVcPwfv3XoRckx6N7Q48+NYO3LlyC6pbuL7T+WKYCQHHGtpx4wvfYfX2SigVEn47fQgKrsuDkksUEBH1q+Gp0fjwvovxq6mDEKZU4PN9tZi29Gu8vukYl0M4D3w0O8CUlZWh/hxm5C2qsuH575vR4RQwaBT41YRo5Ec0Y/v27T2+lzPyEhH1vTCVAvdfnoOr8k149D+7sKO8Gb99fw/e2VqBJ6/Px7BUg9wlBhyGmQBSVlZ29jPyKtWIvmQODON/BACwVZag4v2nMbet4ZzPyxl5iYj6Xo5Rj3d/ORH/3HgUf153ADvLm3Hd377FnPEZeGTaYBh0arlLDBgMMwGkvv7sZuRtckgoalCi1enpRcyOdGH4hdlQTHjpnM7HGXmJiHxLqZDws4syMX1YEp76pAQf7KjCvzYdwye7q7HwmiH40egUSBKHBPSEYSYAnW5GXpdboOhoIzbXNEIIQKtW4vIhichOiOzVeTgjLxFR/0iMCsfzt4zCzRek4fcfFONQbRseeWcn3i4qQ8F1echLZtfTmXAAcJCoarbi7S3l+L7UE2RyEiNx24UZvQ4yRETU/yZmx+OTBy7Br6/OhVatRNHRJsz467dY8J+dqLGwlfx02DIT4Cw2J747VI8DNZ5xLeEqBS7LTcQgo17myoiIqMu5PlAxTg88f2UcVu604LtyG/69pQIfbK/EjbkRuG5wBMJVp2+LiI+PR3p6+vmWHFAYZgKU0+XGlmNN2HasCZ3HH+fLS47ChKw4RGj4n5WIyB9YGusAAHPmzOn1Z4Ql5yJ2yp1ASi7eKm7D65uOofnrlWjf8yWAkx/n1up02FdSElKBhj/1AowiPBIlLQp8/F0pbE43ACAlWotLB8UjUR8uc3VERHQia5sFADD97kUYPHxMrz9HCKCyoxO7m5Xo0MchfvrDGHjDfORFu2AMF+gaI1xTdhhvPPMo6uvrGWbI/5hbbHhthwUp97yCvS0qAG4YtGpclB2HgYmRHO1OROTH4pIzTvngxrlIAzDW5cbOihZsPtqIZifwXZ0CSYZwTMiKC+k19hhmztO5TmJ3Lpwuga3VNnx51Ipt1Xa4BKDQ6GBQuzFhUDJyEiOh4Cy+REQhQ6VUYExGDIYmRaHoWCN2VbSgusWG97ZXIjVai6yw0PyZwDBzHs5pEruzJSmgSc6FLvdiRAydBKXuf4/j2cr3oGXTO5j2iwcx2DS4785JREQBRRumxKU5CRidHoMtRxuxp9KCimYrKqCGcc5z+L7ShpEjRcj8wsswcx7OdhK7nthdQI1NgWqrhBqbAk73/7584UqBdJ0bGZEuVJqrsebIVtjtfDyPiIiASI0KkwcnYkxGDIqONqG4shnhKUPwzHdNeOfABtx9aRauH5kS9IsKM8z0gdNNYncqQgg0tjtQbbGhutmG6hYrmjqc3Y7RqBQYEB+BXJMe6TE6b7K2VnMSOyIiOpk+XI0puYlIRx1WvbMayZNuwZG6djz27m4sWbMPPx6dilnj05EVpHOPMcz4iBACHQ4X6tvsaGh3oKHNgYZ2OxraHN5HqU+UEKnBgHgdBsRFwBQVHjJNg0RE1HfClUDzN//CR889gBJHLF797igqm634v29L8X/flmJidhxuHZeOK4YYoQ0LntYahpk+4HB7ZuDtCiz1x/+369HpH1IpJJiiwpEUHY4kgxYmQzi0Qd4ESERE/UerVuDO8Vn42UWZ2HCgFm9sKsMX+2tReLgBhYcbEBGmxLQ8E64bkYyLc+KhVgb2ggAMM7300a4qvPJ1I1J++Qr+WxEGVFScdIwEIFqnRlyEBnGRYYiLCEN8pAYGrZotL0RE5HNKhYQpuUZMyTWioqkDbxeV471tlahstmL19kqs3l6JGJ36+DGJuGRQPKLCA2+1boaZXqpssmKb2Q5VVCIAzyCsuMgwxHcFl8gwxOrCoArwtEtERMEhNUaHX00bjIenDsK2smb8d2cVPtpVjfo2O97dVoF3t1VApZAwdkAMJg9OxPjMWOSnGAKi1YZhppcuy01EY20Vnnjobtz166eQNThH7pKIiIh6JEkSxmTEYExGDH47fQg2H23EFyW1+GJ/LY7UtWPTkUZsOtIIANCqlRidEY1xA+IwKj0aw1IMiIkIk/lvcDKGmV4aZNTjyuwI/KayBGH+H1qJiIhOolIqMDE7HhOz4/HbGUNxrKEdX+6rxXeHG1B0tBHNHU58d6gB3x1q8L4nJVqL4akG5KcYMNiox2CTHinRWlmHTzDMEBERBZlzXaX7RMO1wPB8Be7Oi0O5pRMldQ6U1DtwqNGJ6jYXKputqGy2Ys0es/c9s8anY/GNw/qi9F4JiDDzwgsv4LnnnkN1dTXy8vKwbNkyXHLJJXKXRURE5Ff6YpXuM5HCdAgzZUNjGgh1YhbC4jOgjk9DrMrZ85t9yO/DzNtvv4358+fjhRdewEUXXYR//OMfuPrqq7F3796QWhGUiIioJ321SvfZqik7jDee+zEuuul7n5/rTPw+zCxduhQ///nPceeddwIAli1bhrVr12LFihVYsmSJzNURERH5n75YpfusuV3QqOSdbsSvw4zD4cDWrVvx61//utv+adOmobCw8JTvsdvtsNvt3j+3tLQAACwWS5/X19bWBgCoOFgMu7UPF5s8jZoyz3IG5qMHcDjC90u983yBfT45zsnzBfb55DgnzxfY56urKAXg+XnY1z9nuz5PiJNnzT+J8GOVlZUCgPjuu++67X/qqafEoEGDTvmexx9/XADgxo0bN27cuAXBVl5e3mNe8OuWmS6S1L35Sghx0r4uCxcuxMMPP+z9s9vtRmNjI+Li4k77nkBhsViQlpaG8vJyREVFyV2OrHgtPHgdPHgdPHgd/ofXwiOQr4MQAq2trUhOTu7xWL8OM/Hx8VAqlTCbzd3219bWwmg0nvI9Go0GGo2m277o6GhflSiLqKiogPtS+gqvhQevgwevgwevw//wWngE6nUwGAxndZxfT/cWFhaGMWPGYP369d32r1+/HhMnTpSpKiIiIvInft0yAwAPP/wwbrvtNowdOxYTJkzAiy++iLKyMtxzzz1yl0ZERER+wO/DzM0334yGhgb84Q9/QHV1NfLz8/HJJ58gIyND7tL6nUajweOPP35SN1oo4rXw4HXw4HXw4HX4H14Lj1C5DpIQZ/PMExEREZF/8usxM0REREQ9YZghIiKigMYwQ0RERAGNYYaIiIgCGsNMP+vs7MRvf/tbZGZmQqvVIisrC3/4wx/gdru9xwghUFBQgOTkZGi1WkyePBnFxcXdPsdut+P+++9HfHw8IiIicN1116GioqLbMU1NTbjttttgMBhgMBhw2223obm5uT/+mj3q6To4nU489thjGDZsGCIiIpCcnIyf/vSnqKqq6vY5kydPhiRJ3bZbbrml2zGBfB0A4Pbbbz/p73jhhRd2+5xg/z4AOOkadG3PPfec95hA/z50aW1txfz585GRkQGtVouJEyeiqKjI+3oo3COAM1+HULlHAD1/H0LhHtGj81w+ic7Rk08+KeLi4sRHH30kSktLxTvvvCMiIyPFsmXLvMc8/fTTQq/Xi3fffVfs3r1b3HzzzSIpKUlYLBbvMffcc49ISUkR69evF9u2bROXXXaZGDFihOjs7PQec9VVV4n8/HxRWFgoCgsLRX5+vpgxY0a//n1Pp6fr0NzcLK644grx9ttvi3379omNGzeK8ePHizFjxnT7nEmTJom77rpLVFdXe7fm5uZuxwTydRBCiLlz54qrrrqq29+xoaGh2+cE+/dBCNHt719dXS1eeeUVIUmSOHz4sPeYQP8+dPnJT34ihg4dKjZs2CAOHjwoHn/8cREVFSUqKiqEEKFxjxDizNchVO4RQvT8fQiFe0RPGGb62fTp08Udd9zRbd/MmTPFnDlzhBBCuN1uYTKZxNNPP+193WazCYPBIP7+978LITw/6NVqtXjrrbe8x1RWVgqFQiE+/fRTIYQQe/fuFQDEpk2bvMds3LhRABD79u3z2d/vbPV0HU5l8+bNAoA4duyYd9+kSZPEgw8+eNr3BMN1mDt3rrj++utP+xmh+n24/vrrxZQpU7rtC/TvgxBCdHR0CKVSKT766KNu+0eMGCEWLVoUMveInq7DqQTjPeJsrkMo3CN6wm6mfnbxxRfj888/x4EDBwAAO3fuxLfffotrrrkGAFBaWgqz2Yxp06Z536PRaDBp0iQUFhYCALZu3Qqn09ntmOTkZOTn53uP2bhxIwwGA8aPH+895sILL4TBYPAeI6eersOptLS0QJKkk9baeuONNxAfH4+8vDw88sgjaG1t9b4WLNfhq6++QmJiIgYNGoS77roLtbW13tdC8ftQU1ODjz/+GD//+c9Pei2Qvw+Ap8vN5XIhPDy8236tVotvv/02ZO4RPV2HUwnGe8TZXodgv0f0xO9nAA42jz32GFpaWpCbmwulUgmXy4WnnnoKt956KwB4F9X84UKaRqMRx44d8x4TFhaGmJiYk47per/ZbEZiYuJJ509MTDxp4U459HQdfshms+HXv/41Zs2a1W2xtNmzZyMzMxMmkwl79uzBwoULsXPnTu96XsFwHa6++mrcdNNNyMjIQGlpKX73u99hypQp2Lp1KzQaTUh+H1auXAm9Xo+ZM2d22x/o3wcA0Ov1mDBhAv74xz9iyJAhMBqNePPNN/H9998jJycnZO4RPV2HHwrWe8TZXIdQuEf0hGGmn7399tt4/fXXsWrVKuTl5WHHjh2YP38+kpOTMXfuXO9xkiR1e58Q4qR9P/TDY051/Nl8Tn842+sAeAb63XLLLXC73XjhhRe6vXbXXXd5/39+fj5ycnIwduxYbNu2DaNHjwYQ+Nfh5ptv9h6fn5+PsWPHIiMjAx9//PFJP8xPFKzfBwB45ZVXMHv27JN+Ww3070OXf/3rX7jjjjuQkpICpVKJ0aNHY9asWdi2bZv3mGC/RwBndx2A4L5HAD1fh1C4R/SE3Uz97NFHH8Wvf/1r3HLLLRg2bBhuu+02PPTQQ1iyZAkAwGQyAcBJSbi2ttb7m5jJZILD4UBTU9MZj6mpqTnp/HV1dSf9RieHnq5DF6fTiZ/85CcoLS3F+vXre1zCfvTo0VCr1Th48CCA4LkOJ0pKSkJGRka3v2OofB8A4JtvvsH+/ftx55139vi5gfZ96JKdnY0NGzagra0N5eXl2Lx5M5xOp7eFAQj+ewRw5uvQJdjvEcDZXYcTBeM9oicMM/2so6MDCkX3y65UKr2PoHbdrLqaQAHA4XBgw4YNmDhxIgBgzJgxUKvV3Y6prq7Gnj17vMdMmDABLS0t2Lx5s/eY77//Hi0tLd5j5NTTdQD+d5M6ePAgPvvsM8TFxfX4ucXFxXA6nUhKSgIQHNfhhxoaGlBeXu79O4bK96HLyy+/jDFjxmDEiBE9fm6gfR9+KCIiAklJSWhqasLatWtx/fXXh8w94kSnug5AaNwjTnS66/BDwXiP6JEsw45D2Ny5c0VKSor3EdT33ntPxMfHiwULFniPefrpp4XBYBDvvfee2L17t7j11ltP+dhlamqq+Oyzz8S2bdvElClTTvmY3fDhw8XGjRvFxo0bxbBhw/zmMbueroPT6RTXXXedSE1NFTt27Oj2yKHdbhdCCHHo0CHxxBNPiKKiIlFaWio+/vhjkZubK0aNGhU016G1tVX86le/EoWFhaK0tFR8+eWXYsKECSIlJSWkvg9dWlpahE6nEytWrDjpM4Lh+9Dl008/FWvWrBFHjhwR69atEyNGjBDjxo0TDodDCBEa9wghznwdQuUeIcSZr0Oo3CN6wjDTzywWi3jwwQdFenq6CA8PF1lZWWLRokXef3xCeB7Pfvzxx4XJZBIajUZceumlYvfu3d0+x2q1ivvuu0/ExsYKrVYrZsyYIcrKyrod09DQIGbPni30er3Q6/Vi9uzZoqmpqT/+mj3q6TqUlpYKAKfcvvzySyGEEGVlZeLSSy8VsbGxIiwsTGRnZ4sHHnjgpPkVAvk6dHR0iGnTpomEhAShVqtFenq6mDt37kn/rYP9+9DlH//4h9BqtSfNEyJEcHwfurz99tsiKytLhIWFCZPJJO69995uf+dQuEcIcebrECr3CCHOfB1C5R7RE0kIIeRpEyIiIiI6fxwzQ0RERAGNYYaIiIgCGsMMERERBTSGGSIiIgpoDDNEREQU0BhmiIiIKKAxzBAREVFAY5ghIiKigMYwQ0RERAGNYYaIiIgCGsMMERERBTSGGSIiIgpo/x+oX2Kj25wbuQAAAABJRU5ErkJggg==",
      "text/plain": [
       "<Figure size 640x480 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "sns.histplot(x = sam_f, kde = True)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 36,
   "id": "4a97890b-6dd4-436e-8a6b-073b078791b6",
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "8709.835406666667"
      ]
     },
     "execution_count": 36,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "female_mean = np.mean(sam_f)\n",
    "female_mean"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 37,
   "id": "738ba2df-e9a8-447f-9dfe-1398b4c67461",
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "275.236342286216"
      ]
     },
     "execution_count": 37,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "se = female_std/np.sqrt(300)\n",
    "se"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 134,
   "id": "2a05398e-1a35-4e5e-a21a-ea3e83c4e5b5",
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "8678.22852155991"
      ]
     },
     "execution_count": 134,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "lower_range_female = female_mean - 1.95 * se\n",
    "lower_range_female"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 135,
   "id": "34f713c9-a4ae-4202-b7f3-44f98a7c1fa5",
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "8792.887549640089"
      ]
     },
     "execution_count": 135,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "upper_range_female = female_mean + 1.95 * se\n",
    "upper_range_female"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "ae44d736-29ac-403d-b241-45b3cc1ad0a7",
   "metadata": {},
   "source": [
    "## Comparing the width of the confidence interval for sample size 300\n",
    "\n",
    "- The average purchase value between the 95% of the data lies between the range 9379 and 9494 for Male\n",
    "- The average purchase value between the 95% of the data lies between the range 8678 and 8792 for Female\n",
    "- The average purchase value of the Male is slightly greater than Female for the sample size of 300 "
   ]
  },
  {
   "cell_type": "markdown",
   "id": "9e0d76f4-0961-4373-b8f7-9b189bca27c4",
   "metadata": {},
   "source": [
    "### Considering the Sample size 3000 for Male"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 40,
   "id": "53ca7c5c-1d7c-4f34-b4be-6c7ff59d4b70",
   "metadata": {},
   "outputs": [],
   "source": [
    "sam_m = [r['Purchase'].sample(3000).mean() for i in range (500)]"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 41,
   "id": "10c0188c-4d58-4885-b6d7-27b750411aa6",
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "<Axes: ylabel='Count'>"
      ]
     },
     "execution_count": 41,
     "metadata": {},
     "output_type": "execute_result"
    },
    {
     "data": {
      "image/png": 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",
      "text/plain": [
       "<Figure size 640x480 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "sns.histplot(x = sam_m, kde = True)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 42,
   "id": "4f26607c-600f-4194-a086-df26819edfd0",
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "9439.396187333334"
      ]
     },
     "execution_count": 42,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "male_mean = np.mean(sam_m)\n",
    "male_mean"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 43,
   "id": "e6bb50fc-240f-4200-9316-dcea20348686",
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "293.9975078978999"
      ]
     },
     "execution_count": 43,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "se = male_std/np.sqrt(300)\n",
    "se"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 132,
   "id": "902a4b7a-e78b-4047-80a5-72a1af9b4dce",
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "9379.459147093245"
      ]
     },
     "execution_count": 132,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "lower_range_male = male_mean - 1.95 * se\n",
    "lower_range_male"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 133,
   "id": "89983500-8a0f-4057-b1e6-1637a92c6ffa",
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "9494.118175173424"
      ]
     },
     "execution_count": 133,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "upper_range_male = male_mean + 1.95 * se\n",
    "upper_range_male"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "544edc2e-1d2c-4cd0-933e-9b5b2019e50b",
   "metadata": {},
   "source": [
    "### Considering the Sample size 3000 for female"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 46,
   "id": "acdb2ede-eadc-4d51-beae-3c7eb06922e2",
   "metadata": {},
   "outputs": [],
   "source": [
    "sam_f = [s['Purchase'].sample(3000).mean() for i in range (500)]"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 47,
   "id": "e6ea8bcb-b73d-4a1c-a458-f448b29170e6",
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "<Axes: ylabel='Count'>"
      ]
     },
     "execution_count": 47,
     "metadata": {},
     "output_type": "execute_result"
    },
    {
     "data": {
      "image/png": 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",
      "text/plain": [
       "<Figure size 640x480 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "sns.histplot(x = sam_f, kde = True)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 48,
   "id": "213abefc-bbbf-477e-819b-7982f8760942",
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "8727.49192"
      ]
     },
     "execution_count": 48,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "female_mean = np.mean(sam_f)\n",
    "female_mean"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 49,
   "id": "565c9d6f-00ea-4b0c-85fc-342e4d4849d7",
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "275.236342286216"
      ]
     },
     "execution_count": 49,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "se = female_std/np.sqrt(300)\n",
    "se"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 130,
   "id": "5c5e4ec9-5f02-40e3-91da-b6e2a86d172d",
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "8678.22852155991"
      ]
     },
     "execution_count": 130,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "lower_range_female = female_mean - 1.95 * se\n",
    "lower_range_female"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 131,
   "id": "1546c12c-4db0-418a-82d3-9bce54803684",
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "8792.887549640089"
      ]
     },
     "execution_count": 131,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "upper_range_female = female_mean + 1.95 * se\n",
    "upper_range_female"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "96e3885a-5610-4bc3-af23-399c372c7d8f",
   "metadata": {},
   "source": [
    "## Comparing the width of the confidence interval for sample size 3000\n",
    "\n",
    "- The average purchase value between the 95% of the data lies between the range 9379 and 9494 for Male\n",
    "- The average purchase value between the 95% of the data lies between the range 8678 and 8792 for Female\n",
    "- The average purchase value of the Male is greater than Female for the sample size of 3000 "
   ]
  },
  {
   "cell_type": "markdown",
   "id": "6cd13f77-2890-4ce3-97c4-2ccea50527ae",
   "metadata": {},
   "source": [
    "### Considering Sample Size as 30000 for Male"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 52,
   "id": "ece5fa06-ed19-4310-bf53-2e3ce6ea6f1c",
   "metadata": {},
   "outputs": [],
   "source": [
    "sam_m = [r['Purchase'].sample(30000).mean() for i in range (500)]"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 53,
   "id": "97c9bc67-2bef-4224-ad18-984cb5eb3d76",
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "<Axes: ylabel='Count'>"
      ]
     },
     "execution_count": 53,
     "metadata": {},
     "output_type": "execute_result"
    },
    {
     "data": {
      "image/png": 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",
      "text/plain": [
       "<Figure size 640x480 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "sns.histplot(x = sam_m, kde = True)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 54,
   "id": "f975cd6c-c170-4b22-b806-f0892571ce10",
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "9436.788661133334"
      ]
     },
     "execution_count": 54,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "male_mean = np.mean(sam_m)\n",
    "male_mean"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 129,
   "id": "2769f974-a32c-4c7d-8db1-4a5e8b23543f",
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "(9379.459147093245, 9494.118175173424)"
      ]
     },
     "execution_count": 129,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "se = male_std/np.sqrt(30000)\n",
    "lower_range_male = male_mean - 1.95 * se\n",
    "upper_range_male = male_mean + 1.95 * se\n",
    "lower_range_male, upper_range_male"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "ea7acb52-bc9c-430d-9dcd-cb595ef29690",
   "metadata": {},
   "source": [
    "### Considering Sample Size as 30000 for Female"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 56,
   "id": "ec0a6985-6a4b-49c2-9ac4-dbaaa1e438fc",
   "metadata": {},
   "outputs": [],
   "source": [
    "sam_f = [s['Purchase'].sample(30000).mean() for i in range (500)]"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 57,
   "id": "56edeea8-ceee-41f2-b8df-1a17ee18d131",
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "<Axes: ylabel='Count'>"
      ]
     },
     "execution_count": 57,
     "metadata": {},
     "output_type": "execute_result"
    },
    {
     "data": {
      "image/png": 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",
      "text/plain": [
       "<Figure size 640x480 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "sns.histplot(x = sam_f, kde = True)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 58,
   "id": "fee3a778-95ef-47fb-aabc-9f6e3307c724",
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "8735.5580356"
      ]
     },
     "execution_count": 58,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "female_mean = np.mean(sam_f)\n",
    "female_mean"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 128,
   "id": "52a469e9-d312-4cc7-a6fc-fac5a52dacd0",
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "(8276.104318650607, 8789.22912234581)"
      ]
     },
     "execution_count": 128,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "se = female_std/np.sqrt(30000)\n",
    "lower_range_femmale = female_mean - 1.95 * se\n",
    "upper_range_female = female_mean + 1.95 * se\n",
    "lower_range_female, upper_range_female"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "b1028bc9-1876-43db-853e-cec02b94a4b0",
   "metadata": {},
   "source": [
    "## Comparing the width of the confidence interval for sample size 30000\n",
    "\n",
    "- The average purchase value between the 95% of the data lies between the range 9379 and 9494 for Male\n",
    "- The average purchase value between the 95% of the data lies between the range 8276 and 8789 for Female\n",
    "- The average purchase value of the Male is greater than Female for the sample size of 30000 "
   ]
  },
  {
   "cell_type": "markdown",
   "id": "f65450a4-a517-4984-bddf-34c22c74712a",
   "metadata": {},
   "source": [
    "## Confidence Interval for 300 Sample for  Purchase and Age column"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 75,
   "id": "65c07ad6-0a1c-4fef-a828-b060922c685f",
   "metadata": {},
   "outputs": [],
   "source": [
    "age_0 = df[df['Age'] == '0-17']   \n",
    "age_s = [age_0['Purchase'].sample(300).mean() for i in range(500)]"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 76,
   "id": "99a338b6-1b9c-46eb-bd07-7acb7db5077b",
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "<Axes: ylabel='Count'>"
      ]
     },
     "execution_count": 76,
     "metadata": {},
     "output_type": "execute_result"
    },
    {
     "data": {
      "image/png": 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",
      "text/plain": [
       "<Figure size 640x480 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "sns.histplot(x = age_s, kde = True)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 77,
   "id": "b0425362-f628-4235-b40e-cb2fe97f6950",
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "-1.9599639845400545"
      ]
     },
     "execution_count": 77,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "norm.ppf(0.025)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 78,
   "id": "be2573e5-6c5c-44b4-b257-5af7b4d9af67",
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "(8338.728590068351, 9518.649436598318)"
      ]
     },
     "execution_count": 78,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "a = np.array(age_s).mean()\n",
    "a_s = np.array(age_s).std()\n",
    "lower_range_age0 = a - 1.95 * a_s\n",
    "higher_range_age0 = a + 1.95 * a_s\n",
    "lower_range_age0, higher_range_age0"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 79,
   "id": "a48b5c9f-8576-41fc-8e83-0c087c3414da",
   "metadata": {},
   "outputs": [],
   "source": [
    "age_0 = df[df['Age'] == '18-25']   \n",
    "age_s = [age_0['Purchase'].sample(300).mean() for i in range(500)]"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 80,
   "id": "cccacc11-960c-4dde-93b2-071acbef0fd4",
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "<Axes: ylabel='Count'>"
      ]
     },
     "execution_count": 80,
     "metadata": {},
     "output_type": "execute_result"
    },
    {
     "data": {
      "image/png": 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",
      "text/plain": [
       "<Figure size 640x480 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "sns.histplot(x = age_s, kde = True)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 81,
   "id": "5b4c1e86-86e5-42a3-b370-b52538e59320",
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "(8601.521152852414, 9692.838113814256)"
      ]
     },
     "execution_count": 81,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "a = np.array(age_s).mean()\n",
    "a_s = np.array(age_s).std()\n",
    "lower_range_age0 = a - 1.95 * a_s\n",
    "higher_range_age0 = a + 1.95 * a_s\n",
    "lower_range_age0, higher_range_age0"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 83,
   "id": "263b4774-0b7f-43a9-acbc-358c2ee56b34",
   "metadata": {},
   "outputs": [],
   "source": [
    "age_0 = df[df['Age'] == '26-35']   \n",
    "age_s = [age_0['Purchase'].sample(300).mean() for i in range(500)]"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 84,
   "id": "b449a457-792a-4e49-a1d5-ce740c76b344",
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "<Axes: ylabel='Count'>"
      ]
     },
     "execution_count": 84,
     "metadata": {},
     "output_type": "execute_result"
    },
    {
     "data": {
      "image/png": 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",
      "text/plain": [
       "<Figure size 640x480 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "sns.histplot(x = age_s, kde = True)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 85,
   "id": "febea8f0-cf12-44f7-8b61-7185a4b14c32",
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "(8644.988349661706, 9844.868397004959)"
      ]
     },
     "execution_count": 85,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "a = np.array(age_s).mean()\n",
    "a_s = np.array(age_s).std()\n",
    "lower_range_age0 = a - 1.95 * a_s\n",
    "higher_range_age0 = a + 1.95 * a_s\n",
    "lower_range_age0, higher_range_age0"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 86,
   "id": "87a4fdc6-055f-4c13-aea7-48bdc328ec12",
   "metadata": {},
   "outputs": [],
   "source": [
    "age_0 = df[df['Age'] == '36-45']   \n",
    "age_s = [age_0['Purchase'].sample(300).mean() for i in range(500)]"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 87,
   "id": "0f92761f-62bf-494e-9ddf-78888b50ede0",
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "<Axes: ylabel='Count'>"
      ]
     },
     "execution_count": 87,
     "metadata": {},
     "output_type": "execute_result"
    },
    {
     "data": {
      "image/png": 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",
      "text/plain": [
       "<Figure size 640x480 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "sns.histplot(x = age_s, kde = True)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 88,
   "id": "7a9fffc1-5933-4b7f-8c6b-85d647542636",
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "(8741.166707468898, 9923.977212531105)"
      ]
     },
     "execution_count": 88,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "a = np.array(age_s).mean()\n",
    "a_s = np.array(age_s).std()\n",
    "lower_range_age0 = a - 1.95 * a_s\n",
    "higher_range_age0 = a + 1.95 * a_s\n",
    "lower_range_age0, higher_range_age0"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 89,
   "id": "a30fcc66-0fde-412b-8ae2-1bddc29dff6a",
   "metadata": {},
   "outputs": [],
   "source": [
    "age_0 = df[df['Age'] == '46-50']   \n",
    "age_s = [age_0['Purchase'].sample(300).mean() for i in range(500)]"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 90,
   "id": "7aeac767-2fd1-4f16-b485-5ae7f7b9d4c1",
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "<Axes: ylabel='Count'>"
      ]
     },
     "execution_count": 90,
     "metadata": {},
     "output_type": "execute_result"
    },
    {
     "data": {
      "image/png": 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",
      "text/plain": [
       "<Figure size 640x480 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "sns.histplot(x = age_s, kde = True)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 91,
   "id": "dfd0af44-2b4e-41b1-9a2a-0c51e26cfa06",
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "(8635.692085877328, 9772.08558078934)"
      ]
     },
     "execution_count": 91,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "a = np.array(age_s).mean()\n",
    "a_s = np.array(age_s).std()\n",
    "lower_range_age0 = a - 1.95 * a_s\n",
    "higher_range_age0 = a + 1.95 * a_s\n",
    "lower_range_age0, higher_range_age0"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 92,
   "id": "f7f98765-1d1c-4f61-b90e-06a1cc52df40",
   "metadata": {},
   "outputs": [],
   "source": [
    "age_0 = df[df['Age'] == '51-55']   \n",
    "age_s = [age_0['Purchase'].sample(300).mean() for i in range(500)]"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 93,
   "id": "7048d48f-e980-438f-8f3b-601f0d520cdf",
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "<Axes: ylabel='Count'>"
      ]
     },
     "execution_count": 93,
     "metadata": {},
     "output_type": "execute_result"
    },
    {
     "data": {
      "image/png": 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",
      "text/plain": [
       "<Figure size 640x480 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "sns.histplot(x = age_s, kde = True)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 94,
   "id": "41718b36-b64a-4241-bffe-49009a09204e",
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "(8985.281312953037, 10093.104780380298)"
      ]
     },
     "execution_count": 94,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "a = np.array(age_s).mean()\n",
    "a_s = np.array(age_s).std()\n",
    "lower_range_age0 = a - 1.95 * a_s\n",
    "higher_range_age0 = a + 1.95 * a_s\n",
    "lower_range_age0, higher_range_age0"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 95,
   "id": "e1fb50c7-f854-4595-a283-f490722f450a",
   "metadata": {},
   "outputs": [],
   "source": [
    "age_0 = df[df['Age'] == '55+']   \n",
    "age_s = [age_0['Purchase'].sample(300).mean() for i in range(500)]"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 96,
   "id": "44b23829-e87b-40e4-91f8-4749706b6529",
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "<Axes: ylabel='Count'>"
      ]
     },
     "execution_count": 96,
     "metadata": {},
     "output_type": "execute_result"
    },
    {
     "data": {
      "image/png": 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",
      "text/plain": [
       "<Figure size 640x480 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "sns.histplot(x = age_s, kde = True)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 97,
   "id": "02770f1d-f868-4bcc-85cb-937a8943a436",
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "(8784.999301765343, 9871.033684901322)"
      ]
     },
     "execution_count": 97,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "a = np.array(age_s).mean()\n",
    "a_s = np.array(age_s).std()\n",
    "lower_range_age0 = a - 1.95 * a_s\n",
    "higher_range_age0 = a + 1.95 * a_s\n",
    "lower_range_age0, higher_range_age0"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "462e83dc-3a3d-428a-8109-1349a5ef06ea",
   "metadata": {},
   "source": [
    "- For age 0-17 confidence interval of means: (8338, 9158)\n",
    "- For age 18-25 confidence interval of means: (8601, 9692)\n",
    "- For age 26-35 confidence interval of means: (8644, 9844)\n",
    "- For age 36-45 confidence interval of means: (8741, 9923)\n",
    "- For age 46-50 confidence interval of means: (8635, 9772)\n",
    "- For age 51-55 confidence interval of means: (8985, 10093)\n",
    "- For age 55+ confidence interval of means: (8784, 9871)"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "cfc5b996-bb6e-4599-87b0-52ebcdfd8c64",
   "metadata": {},
   "source": [
    "## Confidence Interval  for  Purchase and Marital Status column"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 98,
   "id": "8c09fa15-09e9-4ce7-9c7e-223f80d5f2e1",
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "9261.174574082374"
      ]
     },
     "execution_count": 98,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "m1= df[df['Marital_Status'] == 1]\n",
    "m1_mean = m1['Purchase'].mean()\n",
    "m1_mean"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 99,
   "id": "d1f73685-c792-4f4d-896a-ed7cb0808da0",
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "5016.89737779313"
      ]
     },
     "execution_count": 99,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "m1_std = m1['Purchase'].std()\n",
    "m1_std"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 100,
   "id": "b0ffda14-62cd-48f4-899e-ec649bb0593a",
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "9265.907618921507"
      ]
     },
     "execution_count": 100,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "m0= df[df['Marital_Status'] == 0]\n",
    "m0_mean = m0['Purchase'].mean()\n",
    "m0_mean"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 101,
   "id": "7aad6b41-0681-4eb4-b8e1-d5971a3f08f8",
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "5027.347858674457"
      ]
     },
     "execution_count": 101,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "m0_std = m0['Purchase'].std()\n",
    "m0_std"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 102,
   "id": "e887e362-6eba-4394-aa3f-3ba952d0ba85",
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "<Axes: xlabel='Purchase', ylabel='Count'>"
      ]
     },
     "execution_count": 102,
     "metadata": {},
     "output_type": "execute_result"
    },
    {
     "data": {
      "image/png": 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uhIWFYcaMGdiwYQOamprsx44dOwa1Wm0PvgBg/vz5UKvVOHr0qL1NYmKiPfgCgCVLlkCv1yMzM7PX/uj1ejQ2Njr8EBEREfXHrRmwwWhvb8dvf/tbrF692iEj9fDDDyMuLg5arRbZ2dnYuHEjzp07Z8+eVVRUQKPRdDufRqNBRUWFvU1ERITD8eDgYCgUCnubnmzevBkvvPCCM54eERERjSFeEYAZjUY89NBDsFgseP311x2Opaen2/+dmJiIKVOm4Oabb8aZM2dw0003AQAEQeh2TlEUHW4fSJuuNm7ciGeffdb+e2NjI6Kjowf+xIiIiGhM8vghSKPRiAceeACFhYXYt29fv/OxbrrpJsjlchQUFAAAtFotKisru7Wrrq62Z720Wm23TFd9fT2MRmO3zFhnSqUSgYGBDj9ERERE/fHoAMwWfBUUFGD//v0IDQ3t9z4XL16E0WhEZGQkACAlJQU6nQ4nT560tzlx4gR0Oh0WLFhgb5OdnY3y8nJ7m71790KpVCI5OdnJz4qIiIjGOrcOQTY3N+Py5cv23wsLC5GVlYWQkBBERUXhxz/+Mc6cOYMvvvgCZrPZnqUKCQmBQqHAlStXsGvXLtxzzz0ICwtDTk4O1q9fjzlz5uDWW28FACQkJGDp0qVIT0+3l6d44oknsGLFCsTHxwMAUlNTMX36dKSlpeGll15CXV0dNmzYgPT0dGa1iIiIyOncmgE7ffo05syZgzlz5gAAnn32WcyZMwd/+MMfUFpais8//xylpaWYPXs2IiMj7T+21YsKhQLffPMNlixZgvj4eKxbtw6pqanYv38/pFKp/XF27dqFpKQkpKamIjU1FTNnzsSOHTvsx6VSKfbs2QMfHx/ceuuteOCBB3Dffffh5Zdfdu0FISIiojHBrRmwhQsXQhTFXo/3dQwAoqOj8e233/b7OCEhIdi5c2efbSZMmIAvvvii33MRERERDZdHzwEjIiIiGo0YgBERERG5GAMwIiIiIhdjAEZERETkYgzAiIiIiFyMARgRERGRizEAIyIiInIxBmBERERELsYAjIiIiMjFGIARERERuRgDMCIiIiIXYwBGRERE5GIMwIiIiIhcjAEYERERkYsxACMiIiJyMQZgRERERC7GAIyIiIjIxRiAEREREbkYAzAiIiIiF2MARkRERORiDMCIiIiIXIwBGBEREZGLMQAjIiIicjEGYEREREQuxgCMiIiIyMUYgBERERG5GAMwIiIiIhdjAEZERETkYgzAiIiIiFyMARgRERGRizEAIyIiInIxBmBERERELsYAjIiIiMjFZO7uABF5B5PJhNzcXIfbEhISIJPxbYSIaLD4zklEA5Kbm4stHx5C+PhYAEB1aRHW/wRISkpyb8eIiLwQAzAiGrDw8bGIiot3dzeIiLwe54ARERERuRgDMCIiIiIXYwBGRERE5GIMwIiIiIhczK0B2OHDh7Fy5UpERUVBEAR8+umnDsdFUcSmTZsQFRUFX19fLFy4EBcvXnRoo9frsXbtWoSFhcHf3x+rVq1CaWmpQ5v6+nqkpaVBrVZDrVYjLS0NDQ0NDm2Ki4uxcuVK+Pv7IywsDOvWrYPBYBiJp01ERERjnFsDsJaWFsyaNQuvvfZaj8f/+te/4pVXXsFrr72GU6dOQavV4u6770ZTU5O9zTPPPINPPvkEu3fvxpEjR9Dc3IwVK1bAbDbb26xevRpZWVnIyMhARkYGsrKykJaWZj9uNpuxfPlytLS04MiRI9i9ezc++ugjrF+/fuSePBEREY1Zbi1DsWzZMixbtqzHY6Io4m9/+xt+//vf4/777wcAvPPOO4iIiMB7772HX/ziF9DpdHjrrbewY8cO3HXXXQCAnTt3Ijo6Gvv378eSJUuQm5uLjIwMHD9+HPPmzQMAbNu2DSkpKcjLy0N8fDz27t2LnJwclJSUICoqCgCwZcsWrFmzBn/+858RGBjYYx/1ej30er3998bGRqddGxpduhYxZQFTIqKxbUgZsIkTJ6K2trbb7Q0NDZg4ceKwOwUAhYWFqKioQGpqqv02pVKJO+64A0ePHgUAZGZmwmg0OrSJiopCYmKivc2xY8egVqvtwRcAzJ8/H2q12qFNYmKiPfgCgCVLlkCv1yMzM7PXPm7evNk+rKlWqxEdHe2U506jj62I6bvHirDlw0PdKsoTEdHYMqQArKioyGGIz0av16OsrGzYnQKAiooKAEBERITD7REREfZjFRUVUCgUCA4O7rONRqPpdn6NRuPQpuvjBAcHQ6FQ2Nv0ZOPGjdDpdPafkpKSQT5LGktsRUxtleSJiGjsGtQYyOeff27/99dffw21Wm3/3Ww245tvvkFsbKzTOgcAgiA4/C6KYrfbuurapqf2Q2nTlVKphFKp7LMvRERERF0NKgC77777AFiDlUceecThmFwuR2xsLLZs2eKUjmm1WgDW7FRkZKT99qqqKnu2SqvVwmAwoL6+3iELVlVVhQULFtjbVFZWdjt/dXW1w3lOnDjhcLy+vh5Go7FbZozIG3Weg5afnw/RIndzj4iIxrZBDUFaLBZYLBZMmDABVVVV9t8tFgv0ej3y8vKwYsUKp3QsLi4OWq0W+/bts99mMBjw7bff2oOr5ORkyOVyhzbl5eXIzs62t0lJSYFOp8PJkyftbU6cOAGdTufQJjs7G+Xl5fY2e/fuhVKpRHJyslOeD5E7dZ6D9u7e06hvqHN3l4iIxrQhLcMqLCx0yoM3Nzfj8uXLDufNyspCSEgIJkyYgGeeeQZ/+ctfMGXKFEyZMgV/+ctf4Ofnh9WrVwMA1Go1HnvsMaxfvx6hoaEICQnBhg0bkJSUZF8VmZCQgKVLlyI9PR1vvvkmAOCJJ57AihUrEB9v3VQ4NTUV06dPR1paGl566SXU1dVhw4YNSE9P73UFJJG3sc1Bqy4rcndX7LquDgW4QpSIxoYhv8t98803+Oabb+yZsM7++c9/Dugcp0+fxqJFi+y/P/vsswCARx55BNu3b8dvfvMbtLW14cknn0R9fT3mzZuHvXv3QqVS2e/z6quvQiaT4YEHHkBbWxsWL16M7du3QyqV2tvs2rUL69ats6+WXLVqlUPtMalUij179uDJJ5/ErbfeCl9fX6xevRovv/zy4C8MEQ2YLTNnW5hQXVqE9T8BkpKS3NsxIqIRNqQA7IUXXsAf//hH3HzzzYiMjOx3UnxvFi5cCFEUez0uCAI2bdqETZs29drGx8cHW7duxdatW3ttExISgp07d/bZlwkTJuCLL77ot89E5Fy2zBwR0VgypADsv/7rv7B9+3aHavJERERENDBDqgNmMBjsE9iJiIiIaHCGFIA9/vjjeO+995zdFyIiIqIxYUhDkO3t7fjHP/6B/fv3Y+bMmZDLHWsKvfLKK07pHBGNPIvZjPz8fPvvXIVIRDTyhvQue/78ecyePRsAkJ2d7XBsqBPyicg9aitKsPNSAybXKrgKkYjIRYYUgB08eNDZ/SAiNwqJjOZKRCIiFxrSHDAiIiIiGrohZcAWLVrU51DjgQMHhtwhIiIiotFuSAGYbf6XjdFoRFZWFrKzs7tt0k1EREREjoYUgL366qs93r5p0yY0NzcPq0NEREREo51T54D97Gc/G/A+kERERERjlVMDsGPHjsHHx8eZpyQiIiIadYY0BHn//fc7/C6KIsrLy3H69Gk899xzTukYERER0Wg1pABMrVY7/C6RSBAfH48//vGPSE1NdUrHiIiIiEarIQVgb7/9trP7QTSqmEwm5Obm2n/Pz8+HaJH3cQ8iIhpLhrXhW2ZmJnJzcyEIAqZPn445c+Y4q19EXi03NxdbPjyE8PGxAID8zNMIi4vHOPd2i4iIPMSQArCqqio89NBDOHToEIKCgiCKInQ6HRYtWoTdu3cjPDzc2f0k8jrh42Pt2/tUlxW5tzNERORRhrQKcu3atWhsbMTFixdRV1eH+vp6ZGdno7GxEevWrXN2H4mIiIhGlSFlwDIyMrB//34kJCTYb5s+fTr+/ve/cxI+ERERUT+GlAGzWCyQy7tPKJbL5bBYLMPuFBEREdFoNqQA7M4778Svf/1rXL9+3X5bWVkZ/v3f/x2LFy92WueIiIiIRqMhBWCvvfYampqaEBsbi0mTJmHy5MmIi4tDU1MTtm7d6uw+EhEREY0qQ5oDFh0djTNnzmDfvn24dOkSRFHE9OnTcddddzm7f0RERESjzqAyYAcOHMD06dPR2NgIALj77ruxdu1arFu3DnPnzsWMGTPw3XffjUhHiYiIiEaLQQVgf/vb35Ceno7AwMBux9RqNX7xi1/glVdecVrniIiIiEajQQVg586dw9KlS3s9npqaiszMzGF3ioiIiGg0G1QAVllZ2WP5CRuZTIbq6uphd4qIiIhoNBtUADZu3DhcuHCh1+Pnz59HZGTksDtFRERENJoNKgC755578Ic//AHt7e3djrW1teH555/HihUrnNY5IiIiotFoUGUo/vf//t/4+OOPMXXqVDz99NOIj4+HIAjIzc3F3//+d5jNZvz+978fqb4S0ShnMZuRn59v/z0hIQEy2ZCq5RARebRBvbNFRETg6NGj+NWvfoWNGzdCFEUAgCAIWLJkCV5//XVERESMSEeJaPSrrSjBzksNmFyrQHVpEdb/BEhKSnJ3t4iInG7QXy1jYmLw5Zdfor6+HpcvX4YoipgyZQqCg4NHon9ENMaEREYjKi7e3d0gIhpRQ87tBwcHY+7cuc7sCxF1YTKZkJuba/89Pz8foqX3lcgDpbcI+PJCOcJUSshFQDrsMxIR0WBwcgWRB8vNzcWWDw8hfHwsACA/8zTC4uIxbhjntIhAdksgGhqbUVDVjABhHGaYW5zSXyIiGhgGYEQeLnx8rH1IrrqsaNjnKzSHoMGsgEIqgUQCNBuVyGyWY47JPOxzExHRwAyqDAUReberNc0oMQcBAO6eHoGfzYuBr2CESZQgv7LZvZ0jIhpDGIARjSGni+oBANGKVkzWBMBfKUOkpBEAkFve6M6uERGNKRyCJOrDSE2Cd4dGA1CuawcgIsanzX57hLQZheYQlOva0aRyX/+IiMYSBmBEfRiJSfDucrVJAACESVqhlFjstysFM0JkBtSalChqFtzVPSKiMcXjhyBjY2MhCEK3n6eeegoAsGbNmm7H5s+f73AOvV6PtWvXIiwsDP7+/li1ahVKS0sd2tTX1yMtLQ1qtRpqtRppaWloaGhw1dMkD2abBB8VF49gbZS7uzMkRrOIa03Wf9uGHDuLVFi3F7vWBJgtoiu7RkQ0Jnl8AHbq1CmUl5fbf/bt2wcA+MlPfmJvs3TpUoc2X375pcM5nnnmGXzyySfYvXs3jhw5gubmZqxYsQJm841VX6tXr0ZWVhYyMjKQkZGBrKwspKWlueZJEo2w46WtMFgEBChlCJa0dTseLjfARyZBm1lAdpXeDT0kIhpbPH4IMjw83OH3F198EZMmTcIdd9xhv02pVEKr1fZ4f51Oh7feegs7duzAXXfdBQDYuXMnoqOjsX//fixZsgS5ubnIyMjA8ePHMW/ePADAtm3bkJKSgry8PMTHsyo3ebe9l611vqZHBkJS3v24RADiwvyRW9GEcxXt+JmL+0dENNZ4fAasM4PBgJ07d+LRRx+FINyYq3Lo0CFoNBpMnToV6enpqKqqsh/LzMyE0WhEamqq/baoqCgkJibi6NGjAIBjx45BrVbbgy8AmD9/PtRqtb1NT/R6PRobGx1+iDxNSV0rsiqsk+9nRAX22m5csC8A4CIzYEREI86rArBPP/0UDQ0NWLNmjf22ZcuWYdeuXThw4AC2bNmCU6dO4c4774Reb/0QqaiogEKh6LZXZUREBCoqKuxtNBpNt8fTaDT2Nj3ZvHmzfc6YWq1GdHS0E54lkXN9cKoEABDhCwT69r6Cc1yQNQDLr9Wj3ciirEREI8mrArC33noLy5YtQ1TUjYnQDz74IJYvX47ExESsXLkSX331FfLz87Fnz54+zyWKokMWrfO/e2vT1caNG6HT6ew/JSUlQ3hWRCPHZLbgw0zr6zJO1ffkerWvHD5SESYLcLa4wQW9IyIau7wmALt27Rr279+Pxx9/vM92kZGRiImJQUFBAQBAq9XCYDCgvr7eoV1VVRUiIiLsbSorK7udq7q62t6mJ0qlEoGBgQ4/RJ7k2/xqVDbqEaiUIMq/77aCICDcx/rvk4V1I985IqIxzGsCsLfffhsajQbLly/vs11tbS1KSkoQGRkJAEhOToZcLrevngSA8vJyZGdnY8GCBQCAlJQU6HQ6nDx50t7mxIkT0Ol09jZE3uj9k9bs151x/pAOoMRXuK81S3ayqHYku0VENOZ5/CpIALBYLHj77bfxyCOPQCa70eXm5mZs2rQJP/rRjxAZGYmioiL87ne/Q1hYGH74wx8CANRqNR577DGsX78eoaGhCAkJwYYNG5CUlGRfFZmQkIClS5ciPT0db775JgDgiSeewIoVK7gCkrzW5aomHMyzLkhJnRyAgzm6fu9jy4BlXquHwWSBQuY139HITbruFgFY31M7v1cTUXde8Reyf/9+FBcX49FHH3W4XSqV4sKFC3j33XfR0NCAyMhILFq0CB988AFUqht7qrz66quQyWR44IEH0NbWhsWLF2P79u2QSqX2Nrt27cK6devsqyVXrVqF1157zTVPkMjJRFHE7z7Jhtki4q4EDaLVA9s+SSUHApUSNOotuFCmQ3JMcP93ojGt624R1aVFWP8TICkpyb0dI/JwXhGApaamQhS7TyD29fXF119/3e/9fXx8sHXrVmzdurXXNiEhIdi5c+ew+knkKf5fZilOFtbBVy7FplUzUF96ZUD3EwRghkaJYyVtOFFYywCMBsS2WwQRDZxXBGBE1J3eDHxf3Iqvyi7BbBGxOCECSePU+K6gGn/50jok9MxdUzA+2A/1pf2crJPp4dYAjCshiYhGDgMwIi+kazMio0TA59dqANQAAN48fBUSAbBt5ThNq8KjP4gb9LmnhCoAABdK+58zRkREQ8MAjMgLHb1cA4NFgMZfisUzoqA3WbAvpxJN7SZoA32wfGYkfnH7RMilg59EPylEAYkAVDS2o6qxHZpAnxF4BuTpuk6u58R6IufiXxORl9GZZMhvaAYg4n/fEY5Vt88EABhMFlxvaMOEED9IJAOoOdELH5kEUzQq5FU24VypDndPZwA2FnWeXF9ZfAX3zsnH1KlTAViDMwCQyWTIz8+HaBnYIg8iuoEBGJEXEUXgcpu1ompMABAXrLAfU8gkiA3rp9rqAM0cr0ZeZRMulDbg7um9FyOm0c02ub66rAg7D+dgcq319ZafeRQSHz9MnjEb+ZmnERYXj3Fu7iuRt2GRHyIvUi/6osGsgFQiIDGk762FhmPmeDUA4BzngVGHkMhoRMXFIyouHsHaKPvvwdqo/u9MRN0wA0bkRWrM1gzX9MhA+Ag1yM/PdzjurHk6M8cHAQAulOn63ROViIgGjwEYkRepF63zsWJD/VCbV4Kdlxrsw0LOLIA5LVIFuVRAXYsBpfVtiA7xG/Y5iYjoBg5BEnmJpnYj2kQFABHjgn0BOA4L2SqRO4NSJsU0rXVz+QtlHIYkInI2BmBEXqKkvg0AECg1QSmT9tN6+JLs88AaRvyxiIjGGgZgRF6itK4VABAsM7rk8WZ1BGDnS5gBIyJyNgZgRF5AFEV7BixEZnDJYyaOswZgF6/retyLlYiIho4BGJEXaGg1ollvggARahdlwKZorBPxG9tNKO0I/oiIyDkYgBF5gZJ66/CjWmiH1EUVIRQdFfEBIKe80TUPSkQ0RjAAI/ICtgxUkMS1magZUdaVkDnXGYARETkTAzAiL1DVpAcABEr0Ln3c6bYAjBkwIiKnYgBG5OGMFkDXZp33FSC4OACLZAaMiGgksBI+kYfTdSx6DFDKoIDFpY+d0JEBK2toQ5Pe7NLHJiIazZgBI/JwDR1Jr7AAhcsfO9BHjugQa9X9wnrXrL4kIhoLGIARebgGg3XZY7hK6ZbHnxFprQd2td419ceIiMYCBmBEHq6hI+4JD3BPAGabiM8AjIjIeRiAEXkws0W0zwFzVwbMNhGfQ5BERM7DAIzIg5U2GmERBcilAtS+crf0wZYBK9EZYXbtGgAiolGLARiRB7NlncIClBAEF5XA7yJS7YMgPznMItDIJBgRkVMwACPyYLZ5V+4afgQAQRDsFfEbXFuGjIho1GIdMPIqJpMJubm5DrclJCRAJnPfSzm/sgk51xuxZIYWvgqpU89ty4C5awK+zfTIQHx/uda+IpOIiIaHARh5ldzcXGz58BDCx8cCAKpLi7D+J0BSUpLL+1LaAjz5RTlKdMUAgNnRQfjnmrkI8XdOvS5RFD0iAwbcmAfWMIYWQnpisE9EowffScjrhI+PRVRcvFv70NxuwokqARbRCIVUArlUQFZJA370xlG8++gtTnmMykY9GvUWCBAR6qSgbqimd9QCa9BbA0N3zUdztr6CLE8K9olo9GEARjQEJ4vqYBEFJIQp8MHTC1HVqMcj/zyJwpoW/HJnJv58h3rYj5FTrgMAqOSATOre6ZoTw/0hlwBGiwBdmxFBfgpYzGbk5+fb23hjdqi/IMsTgn0iGp28692SyAO0mSW4eN0aHP18dhACfeQI9JHjo18tQOqr3+Li9UbsuzL8Py3bBthB7h19BADIpRLEBClwuc6A6iY9gvwUqK0owc5LDZhcq/Dq7FDnIKtzUJmfnw/R4p7SH0Q0+nEVJHk8k8mECxcu4MKFCx0fiqJb+1Oo94NFBCJ8RSRG+Nhv16p98O93TwUAvHuuAYZh7l2dU94RgCnc+3xtJgZbg5Hq5htLIUMioxEVF2/PIHm72ooS7Dycg3ePFeHdvadR31Dn7i4R0SjFAIw8nm2YyBM+FPWiFOUGa9A1I7h7YPSz+TGYGhGAJr0FF+uHN0/KngFz7/Qvu4nB1o5UN43uWhS2oDJYG+XurhDRKMYAjLyCbZjI3R+KdRY/AAK0gT4I9el+XC6V4PmVMwAAVxqBpvahVS5t1ptQVNsKwDOGIAEgriMAq2keQ0shiYhGCAMwokGos/gCAGJC/Xptc+vkMCRFKCFCwLlS3ZAe51LH8GOorxRK55YWG7LYYDkAEc16E1oNJnd3h4jIqzEAIxogi0VE/QACMAC4b5oKAHChTAeDafAbKNrmf8UFe84kcD+5BAEd3Rntw5BERCONARjRAFU2tcMEKWSCBRGqHsYfO7l5nC8C5CIMJos9mBoM2/wv27wrT2Gbj8ZhSCKi4WEARjRA1zrmZIXIjJBI+p5gLxEETFVbJ+mfLa6HOMiFjLagbWKIZwVg6o4VmbXNzIAREQ0HAzCiAboRgA0s+xMTAPjIJWhsN6HW0veQZWcmswWXKpoAeNYQJAComQEjInIKBmBEA9BuNKOysR0AECofWPAhkwAzoqwV8a9bAgf8WFeqW2AwWeCvkEIb4Fm1km0BWF2LAW4ux0ZE5NUYgBENQEldK0QAfoIBPpKBT6pP7NjEus7iizbzwP7cMq/VAwCSxqsh8bA9F/1lgFwqwCyKaBM9KztHRORNPDoA27RpEwRBcPjRarX246IoYtOmTYiKioKvry8WLlyIixcvOpxDr9dj7dq1CAsLg7+/P1atWoXS0lKHNvX19UhLS4NarYZarUZaWhoaGhpc8RTJS5TrrNmvIKFtUPcL8lMgOtgXgIDrhr4n7tucLKwFANwSFzqox3IFQQBC/a2FyVpEz5qfRkTkTTw6AAOAGTNmoLy83P5z4cIF+7G//vWveOWVV/Daa6/h1KlT0Gq1uPvuu9HU1GRv88wzz+CTTz7B7t27ceTIETQ3N2PFihUwm2/sE7N69WpkZWUhIyMDGRkZyMrKQlpamkufJ3k22/BjoGTwk8+TxnUMQxp8YB7AuN3JQmul/3lxIYN+LFcIC7AGXs0MwMY0vUXApYpGtImeNUxO5C08/i9HJpM5ZL1sRFHE3/72N/z+97/H/fffDwB45513EBERgffeew+/+MUvoNPp8NZbb2HHjh246667AAA7d+5EdHQ09u/fjyVLliA3NxcZGRk4fvw45s2bBwDYtm0bUlJSkJeXh/j4eNc9WfJIFhGo6qh7pRL0AAaWybKZGB4AOUwwiDIU1rSgr+n4pfWtuK5rh0wiYM6EIFzJKx96x0dIaEDnDNjYKcjaeaNuAEhISIBM5vFvoU7X2GZEliESDXof4GIlfBCJFN8Gd3eLyOt4fAasoKAAUVFRiIuLw0MPPYSrV68CAAoLC1FRUYHU1FR7W6VSiTvuuANHjx4FAGRmZsJoNDq0iYqKQmJior3NsWPHoFar7cEXAMyfPx9qtdrepjd6vR6NjY0OPzT6NBoAk0WEQiqBnzD4rYWkEgGRUmtWNrus78r4tuxX4jg1/BSe+eFuy4C1WMZWBqzzRt1bPjyE3Nxcd3fJLQ4XVKNBtA6rSwUB7ZCjRO/r7m4ReR2PDsDmzZuHd999F19//TW2bduGiooKLFiwALW1taioqAAAREREONwnIiLCfqyiogIKhQLBwcF9ttFoNN0eW6PR2Nv0ZvPmzfZ5Y2q1GtHR0UN+ruS56jtGHTWBSgx1TrwtALtW14qWPmK4U0WePfwI3MiAtUMOk+hZiwRGmm2j7vDxse7uilu0GkworGkBANwcUI9F08IBAEXtfmgzmPu6KxF14dEB2LJly/CjH/0ISUlJuOuuu7Bnzx4A1qFGG6HLJ6Ioit1u66prm57aD+Q8GzduhE6ns/+UlJT0+5zI+9Tpra+DiMDBDT125iuY7PXDrjb1/ro60ZEBmxvruQGYr1wK/44NKpvNHrJRJbnEpYomWERAJbRDLTMhITIQ/oIeJkhwomPxCBENjEcHYF35+/sjKSkJBQUF9nlhXbNUVVVV9qyYVquFwWBAfX19n20qKyu7PVZ1dXW37FpXSqUSgYGBDj80+tR1ZMAiVMphnWecwrqCsqjJOqTZVU2zHlerWyAInh2AAUBYx0rIZrNnDpOS84kicLFjiyxbRlciCJgsswZeF8p0zIIRDYJXBWB6vR65ubmIjIxEXFwctFot9u3bZz9uMBjw7bffYsGCBQCA5ORkyOVyhzbl5eXIzs62t0lJSYFOp8PJkyftbU6cOAGdTmdvQ2OX3mSBrqPuaoR66BkwAAiTG+CnkKLdLOBEafdyFqc6sl/xESqo/Ty7xlZYAAOwsabRLENdiwFSiQCNpNl+e7CkHQESEywicK2uxY09JPIuHh2AbdiwAd9++y0KCwtx4sQJ/PjHP0ZjYyMeeeQRCIKAZ555Bn/5y1/wySefIDs7G2vWrIGfnx9Wr14NAFCr1Xjsscewfv16fPPNNzh79ix+9rOf2Yc0AetKpqVLlyI9PR3Hjx/H8ePHkZ6ejhUrVnAFJKGw3ggRAnzlUqiUwws2JAIwo6Mw678uNUHsskHk/8u01qdLmeR59b+6CrVNxOcQ5JhR3lHHboomADLB8bVr2x3CNj+MiPrn0V9fS0tL8dOf/hQ1NTUIDw/H/Pnzcfz4ccTExAAAfvOb36CtrQ1PPvkk6uvrMW/ePOzduxcqlcp+jldffRUymQwPPPAA2trasHjxYmzfvh1S6Y0Pjl27dmHdunX21ZKrVq3Ca6+95tonSx4pv9b6wRIRqOx3TuBAJI1TI/NaHS5W6/HlhQosnxkJwLo68ptLVZAIwM9TYof9OCPNngGzyLoFkjQ61RitQfc0rQoNjrM6ECbX45reD9dqW5E08G1PicY0jw7Adu/e3edxQRCwadMmbNq0qdc2Pj4+2Lp1K7Zu3dprm5CQEOzcuXOo3aRRrKDWOgFMO4wJ+J2pfOSYpgZyGoA/78nBomnh8FPI8PeDlwEAK2dFIS7M3ymPNZKC/eUARJhECZr1Y6cW2FilF6XQi1IIACLVvmjoclwtNcFHJkG7yWKfM0lEffPoIUgid7tSb60ZoXFSAAYA04JEaPyluK5rx+YvL+HApUp8lW1dTPLUoslOe5yRJJPcqIlW0zywzcnJezVarBnP0AAFFLLuHxuCAMSEWr84lLeOrdIkREPFAIyoF60GE8oaOwKwYa6A7EwqAR5Pttam23H8Gh7dfhoAsCxRi6kRqr7u6lECBGvgVdPMlMdo1yhav4D0lQmODbOOPZa3uqRLRF6PARhRL3LLrTWPfKQi/Ic5Ab+r+eN98R9L4pEQGYhgPznCAhR49u6pTn2MkebfEYDVMgM26tkyYH2tBI4J9YcAQGcQUN3CYWmi/nj0HDAid7p43bptUNAI7LgjCAKeWjTZa4Yce2ILwGpa9IDnT1ujIbKIIppEawDWVwbMVy6FVu2Dcl07zlW0405XdZDISzEAI+qFbd/GYOeNPo4qARJrAFbfYkAPdWVplKhrMcACCaSwIMS/728j44J8Ua5rR0712BmWNplMDvuCjtVN2mnw+Coh6kV2mbXqd7CS0UVPlDBBCgvMogRNg9+jnLxEha4dABAoM0HSTymWyI4hyktjKADLzc3Flg8PIXx8LKpLi7D+J0BSUpK7u0VegAEYUQ/0JjPyK63brYzEEORoIAhAgNQMnVli3y2ARp+Kxo4ATNr/vK5ItS8AoKTRhIZWA4L8xsYfT/j4WETFxcNiNiM/P9/hGDNi1Bu+Koh6UFDZDJNFhEohgZ/M4u7ueKwAqQk6sxwNepYeGK1sAZha2n+a01chhUouosko4ExxPe6c1vd+uqNNbUUJdl5qwORaa+DJjBj1hQEYUQ9s878mhSggCFzR1ZuAjqzIaMyAiSJgtIztwNJkAeo6VrkGygb2dxCqBJqMwOmisReAAUBIZDSi4qzb2HXNiDEbRp3xlUCjRtfJsMDQ3/Cyr9sCMDnQ7pTujUqjMQATReBKdTNOGKKhN8igrmnGxLAAd3fLLZqMgAhADhOUkoFlgsN8RBQ1C8i8Vt9/41Guc0aM2TDqigEYjRqdJ8MCw0v/2ybgTwpWoLDcmb0cXQKkZgBAm1mArt08rHOJogh3byspisCF1kBUny8HIAcAZGRX4IGbo93bMTdp7AisbbseDERoR6WKc6UNMJotkEvHdrnJzhkxos7G9l8GjTq2ybBRcfH2QGywDCYLcsutAdjEkLExiXioZIKIIF9roHKlfuhpsPoWA949fg2njONhcOOwX53FF9VGJaSCgAnSegTLDDCaRfzr3HUYxLH3dtlktP5fDCYAU8mBAIUE7UYLcq43jlTXiLze2HtHIepHbnkj9CYLgvzkiFIxSdwf2zZNV+qGFoDV64EPM0vR0GpEq6hAdmsgLG4qLFZiVgMAZkWrMVFWjyS/Rqh95WhsN6HIFOyWPrmTrbzIYAIwQQCmhVm/uHAYkqh3DMCIujhTbP3QmBMdBKGfukcEhAfaArDBFwOraDLh0HUBbUYzwgIUkMCCepMC31+pcXY3+1XdpEeD6AdAxKzxQQAAuUTEndM0AIAqSwDMY6wk3I0hyMEF1wnh1tdEZjEDMKLeMAAj6uJMcQMA4KYJYy/jMRQalXXSz9UhZMD2FDTBJArQqJT4cfJ4TJNVA7D+H9S6ePFDVkkDAEAj1yOwY1gVAKKDfRGglMEEKWqMY2dbBLNFRLMtAyYZXHAdH2a9Tlkdf0tE1B0DMPJaFlFEdRtwsrQVX1+sQLPeOfW6znQMm9wUwwBsIGxDkOXNJujaBv5BbTRbcPBqCwBgXlwIlDIpNNIWRMitkVdJs+uyj60GE/IqrIV3JyjbHI4JgoCESBUAoNwwdgKwqhYTLBAglQjwweBKsUwJVUAQgLKGNlQ1cRkxUU84wYX65Yl7nZnMFvzrfDmK6yQ4VF4DoAYhvlLMCQGihnHeqsZ2lDW0QRCAWdFBKMznEsj++Mil8JOJaDUJuHhdhwWTwgZ0vwOXqqDTW+AjFREbemM37wi5HpVGH1xvta6MdIWCqmaYRREqoR3qHupdJUQG4lRRPWpNCrTox0ZduNJG6/MM9pNjEFPAAAB+cgmmaAKQX9mMrOIGpM7QjkAPibwbM2DUL1t5h3ePFWHLh4e61dpyNYsI7LlQjuK6VkgFEfGhCkSqfVDXZsah6wIKOrYQGgrb/K/4CBUClPx+MlDBHYtFL5YNfNXb/5wqAQDEBAASyY1sV4jcAKlEQItJwLUG12wyea22FQAQJmnp8XiwnwKBQjsAAZcqhv768ialjdZrHzzE7YRmRwcBuDG0S0SOGIDRgNjKOwy1tIMz5baqUFTbCplEwA+0Il5eqsXX/347kqN8YBYFZFysQGXj0IY9bPO/5nD+16DYNiy3FbDtT2VjOw7mVQEAYlWOWS6pAEwI8QMAnChr63ZfZzOLQGm9NQALkfT+eFqpNfDKGysBmK4jAPMfagBm/RtiAEbUMwZgNCi2rTUuXLhg/zGZXDck02hRoMLoAwHAipmR0Fj3/kWgjxzP3RGOcX4iLCKw92IlzEOYEmaf/zUhyGl9HguCOqZG2bZw6s8nZ8tgEYGEMAUCe/h8nxhmHZI8UTryAVhtO2A0i/BTSBHQx2o/a3ZMRHWzHu1jYBTSNgQZMsQM2JyOv6HzpTqY3VRWhMiTcYyFBsXdm80Wma3fquO1KsSE+qNznUepREByuIj6chnqWg24UDe4SdwGkwUXOgIITsAfHNsQ5NWaFrToTfDvZ/j2ywvWuXWLJvqjuqZ7tjIuzB+AiIJaAyob2xER6OPsLtuVt1pfJzGhfhDqem+nECxQSU1oMstRMfJxodvZhyD95RjKTMipESr4KaRo1ptwpboZUyNUzu0gkZdjBowGzba1hquHJCt07aiz+EOAiFviQnpso5QCdydYNwAuaBRwsWrgQ5EXyhrsBVhtGRgaGB8ZEOYnhSj2P+RU1tCG86U6CAIwf7xfj238lTKEdGTV9uVUOrm3jiqso48OCwF6EyqzZsgq20Z3fbi6FgMaO1YVD3UOmFQiIGmctbDt2VFUD8xkMjmMAOTn50Nkho+GgAEYeY3jhbUAAK1c3+eHQmyYP2ZEBQIA/vNIBbLOnR/QUOnXF60f9HdMDR9QAVZ3D8d6mqQIa8T0/eW+i6juvVgBALg5JhjBvtJe20X6WT/Ujl2tdVIPu6tpNaHRKEAAEB3SczDYWYjcmhWqaLWWQRmtrlY3AwD8ZOKw9nKc3TEMOZrmgXVelPTusSK8u/c06hv6SJ0S9YJDkOQVdAbbSjURsT49r1TrbMGkUORdr8f1Nile2HsN6qa+h0pFUURGtjUwWDrAJfPuHo51hc4lSKzf9OW9tp2t9cHBwtZ+A7CvOwKwJTO0AHr/vwzrGHUcyWKeZ65bM6QRgT7wlfceDNqopUYopBIYzBZcrTNi1oj1zL2udARgqt7/uwdkTsdE/LOjrCCrbVESAFSXFbm3M+S1mAEjr3CtyZqRCpO0wk/a/+x6P4UMsTLrsEeOTobAyNg+2+eWN6G4rhVKmQR3xIcPuF/uGo51FYdv+/1805+ltUZM58t00LX2XD6irsWAk4XWc8TIdH0O3wQrAUlHMc+hrmrtz7kK63ljQvvPfgHW/owPtq78OFM+eieCXam2BsbDDsA6MmD5lU1jpn4a0UAxACOPZ7aIuGb9Qo4IycBLAERJGhEgMUFvsiC7nwn5GR1ZmTumhsNPwcRwZ7Zv+8HavkvchvrJMFkTAFHsfdhwf24lLCLgL+ix90Jpn0GdXAJMUFsjgJHIoIiiiOwqPYAbQdVA2IK1M+Wjt8L7lSrrH1ygYnjDrBGBPohU+8AiWldDEtENDMDI452vbEe7WYBSJkGopHXA95MIwFQ/6wfJ1Sbgch97FX5tG35MZMXu4fjBZGsV/N6GIW3XOTZIPqCgzran4NkS50/iLqlrQ12bGQJEaAexyjKmY7L+pWo9mkdpVsdZQ5AAC7IS9YYBGHm8g4XW4ZCpESpIBrn4LFhmxNSIAAAC/nGqrsetba5WNyOvsgkyiYDF0yKc0OOxa8GkUAA9B2DlujYcyrdutj1+gItMp4VZ59eNRAbsZJE18xaiBGSDmGiu9pXDXybCLAInC0dugYC76E1mFNdZv+g4IwCbY5+IP3pWQhI5AwMw8mgtehOOlVjn2tg2RB6s2yaHQyqIyK0x4JOzZQAcl5K/8kUmACBlUijUfk74xBnD5k8KhUSw1gMra3CcI/X+iWKYLSJmhCt7LL7aE1sG7HxpA4xDqazbB1vwFDaEEmO2AsBHL4++AOxabSssIuAnF+DT/7qEfs3uNBHfVXt7EnkDBmDk0fblVKLdJCJANrhhos4CfGSYHmx943/u02ycL22wTy7fcqAIX+RZh1sev22i0/o9VgX6yDGrY8hpf6f6XQaTBe+dtO79uDw+YMDnGxcoQ6CPDO1Gi9O3ADpVZM3IhPsOPijQdNzn+yujLwCzzf8aHyjHAKqx9CtpnBpSiYCqJj3KdaN33hzRYDEAI49mK1kQHYAB1ebqzVQ1MDNCiRaDGWvePoVrDQaoI2Nxpt6aikmd5I87pg589SP1btUs67yurQcK0NhuXQ35VXY5apr10KiUSIke2IpDAJAIAmZPsGVQnDeEVdXUjsKaFggAQpWDv7+m47tAbnkj6lp6n1vojWzzv8YHOicb7KuQIr6jCj7ngRHdwACMPFa70YxDedY5Q+P8hzd0IRGA398Rjpnj1ahrMeDpPRX47JoEje0m+MlEPJbMrYec5eF5MZgY7o+aZgO2flMAo9mC7UeLAAA/vWUCZIOcyDenI6PmzHlgpwqtwVxssByKIQyz+ciAmI4VmsdHsFCsO9hKUIwPdN5q4DmjsCAr0XAxACOPdaSgBm1GM8L8pAga2m4oDvzkEmz/t1vsQ2SAdbuUueEi/OT8U3AWhUyC51ZMBwC8/X0RUl89jLPFDZBJBKyeN2HQ57N9eJ914of3qY4J+DPCh5D+6jBTO7DK/97GngFTO28+pH0l5CgryEo0HCx4RMNi247HJiEhATKZc15We3Osw4/zo30hGHsu7Nn58fur1A4AIf4KfPrkApw6ex67ThRjXNwUVBcXOKW/dMOieA0WxYfjYF41CmtaEBagwKZVMxAR6IOqQZ7L9uFdWNOC+hYDgv2HH43bisFO1yhReH1o55il9cG/8ppxbBTNAxNF0WEOmLP+MmxB9PmyBpjMlkGtOvUWoijiulkFXYsKZ49dQ6CvDNGiACesY6BRigEYDUvn7XicuRWP2SJif671o3r+eD+cK2zs9/HzM08jLC4e4/o5tyAI8JVLoJBiWPvcUd/+dF8ifv9JNmaOV+OJ2ydC5TO0jEqQnwITw/1xtboFWSUNWDRNM6x+6dqMyK2wvp5maHyGHIDN0PjYV3yW69oQqR54MVdPVdmoR4vBDKlEgDbAeR8PE8MCoPKRoandhJzyRswcH+S0c3uKM8UNyDd1zCM1GlDXakCLJBxJ4ujdMYGGh58+NGy27XicuRXP6aI61LUYoPaVI1HT9zCR7fH7KurZdePsvrbAIecYH+yHdx69BetT44ccfNnc2FNw+BPxz1yrhygCsaF+COljM/D+BCgkSBqnBmAdLh8NbMOPMSF+kEudsASyg0QiYG5sCIAb2cfRpN0iwYmOsibjFW1YPE0DiQBUWwJwtX3gi05obGEARh5pb0cJg8UJGkgHW321B7UVJdh5OMe6p+EA9jUkz3JTTBAAa5ZhuGwFWG0BwXDcNsWa8fi2o8Cst7MFYBPDB14qZKBuiRu9AVhBWwCMZhGBQjum+jYjcZzaXtS5SO+Psnpmwag7BmDkcURRtM//Sp3uvK2BOm+c3d8WOGOVp2YKbRmwrJIGmIfZH1sAYAsIhmNhx8bt3xXUwOTkQrHuYJv/NUkzwK0KBsEW8J4q6nlHCm9VZ/FFlVEJQQCmymrstdOmRwVCK7EOdWc6sYQKjR4MwMjjXKpoQkldG3zkEtbmcjFPzRROjQiAn0KKZr3JnqUZinajGedLGwA4JwCbHR2EQB8ZdG1GnBsFm03bSlBMGoEMWNI4NXzkEtS3GnG5auj/h56m1Gwdhp41LggBEseacBOk1tdEYU0LmkZXuThyAgZg5HFsxVdvmxIO36EUaaJh8cRMoUwqwczx1g+64cwDyyppgNEsIiJQiQkhw5+bI5NKcFvHl4Rv8wa7vtPz2ILbkQjAFDIJbuooqntilAxDthnMqLdYF1/MjFZ3O+4nMSJMpgcAFDQ6b04djQ4eHYBt3rwZc+fOhUqlgkajwX333Ye8vDyHNmvWrIEgCA4/8+fPd2ij1+uxdu1ahIWFwd/fH6tWrUJpaalDm/r6eqSlpUGtVkOtViMtLQ0NDQ0j/RSpB3svWud/pU7nxthD1XmvS08aShyOORNu7Ck4VLbhx7mxIcPaWaGzhR0B2CEvnwfWrDfZtwqaFO78IUhg9M0DK6hqgggBKqkRwX49l0eJVlrnfxU1AU16syu7Rx7OowOwb7/9Fk899RSOHz+Offv2wWQyITU1FS0tLQ7tli5divLycvvPl19+6XD8mWeewSeffILdu3fjyJEjaG5uxooVK2A23/hjWL16NbKyspCRkYGMjAxkZWUhLS3NJc+Tbiipa0VOeSMkArA4gQHYUNn2uvS0ocThcEZFfFsBVmcMP9rYhsnPl+pQ06x32nldrbBj+DEsQIGgXoKJ4bql00rI0TAPLL/SmjGMkPf+/x4sMyI8QAmzKODryy29tqOxx6PrgGVkZDj8/vbbb0Oj0SAzMxO33367/XalUgmttufJ2jqdDm+99RZ27NiBu+66CwCwc+dOREdHY//+/ViyZAlyc3ORkZGB48ePY968eQCAbdu2ISUlBXl5eYiPj+/x3Hq9Hnr9jT+8xsaea1XRwNlWP94SF4IQJxTcHMvCx8ciKs762q0uK3JvZ5xgdkcxz/yqJjS2GxE4yNIWJrMFZ65Zhy+dGYBpAn0wPTIQOeWN+K6gGj+cM95p53alkVwBaZMUpYJUACoa27H/eBYWzU1yWuFmV2tqN6KswZrdilD0HoAJgnV48pvcKhwobMEmUXRa9pW8m0dnwLrS6awTGkNCHN88Dx06BI1Gg6lTpyI9PR1VVTfmYmRmZsJoNCI1NdV+W1RUFBITE3H06FEAwLFjx6BWq+3BFwDMnz8farXa3qYnmzdvtg9ZqtVqREdHO+V5jmV7Lzp/9SONDhqVD2JC/SCK1jpxg3WutAEtBjOC/OSYqlE5tW+21ZD7Or5AeKORnP9lU3QlH/6wDnO+/EUWcnNzR+yxRlpBR/ZLLbTBR9L3CtgpmgBIBBElOiMuVTS5onvkBbwmABNFEc8++yx+8IMfIDEx0X77smXLsGvXLhw4cABbtmzBqVOncOedd9ozUxUVFVAoFAgOdtxsOSIiAhUVFfY2Gk336toajcbepicbN26ETqez/5SUlDjjqY5JJpMJh09m2YeI7owPc3OPyBOlTAwFABy/OvgA7Nt8a7HUH0wOg8QJteU6uycpEgDwTW4VGtt73jbL090IwEZm/pdNlNpaWLnN17tXOOdXWQMpjbT/FZ1KmRSRHRslfJY1xK0XaNTxmgDs6aefxvnz5/H+++873P7ggw9i+fLlSExMxMqVK/HVV18hPz8fe/bs6fN8Ypc0cE8p4a5tulIqlQgMDHT4Gc3MFhENFiVK9T44fa0OzXqT086dm5uLP352DhYRUAntaKooctq5afSY3xGADWX/RVux1NtHoLTJjKhATNEEQG+yICO79y9tnuxKVUcJCs3IZcAAQOtrnftV2QpYvHQemN5s3bYJAMIkrQO6z4QA63P917nrsHj5ghhyDq8IwNauXYvPP/8cBw8exPjxfc+viIyMRExMDAoKrNvIarVaGAwG1Nc7Ll2vqqpCRESEvU1lZfehg+rqanubsc5gBnafKkaWcRzy2lT4/nIt3jtRjDqL8/a/a5BbP1wnBnPuF/XMFoBdvK6Drm3gmaa6FoO9/tdI1JYTBAH3zbHuQvrp2TKnn3+kmS0iCmusAdhkJw5B9rQaN0QhQi4VoLcIKKr3zmxhVUdh+9AABZTCwFY2RvoBfnIBZQ1tLMxKADw8ABNFEU8//TQ+/vhjHDhwAHFxcf3ep7a2FiUlJYiMtA4JJCcnQy6XY9++ffY25eXlyM7OxoIFCwAAKSkp0Ol0OHnypL3NiRMnoNPp7G3GslajBd9VCKhpNkAKM0JlBoT6K9BmNOO8UYsSvc+wH6Om1YSadmu2cfzIfgEnL6ZV+yAuzB8WETg1iFIGRy7XQBSBaVoVIgKH/3rtyapZ1pppx67WolznXVvPlNa3wmC2QCmTICrIeV+qelqNq9PVYVzHY5wtb3faY7lSRZv1vWowteSkEiAl2tr+syzvC9LJ+Tw6AHvqqaewc+dOvPfee1CpVKioqEBFRQXa2qxvbs3NzdiwYQOOHTuGoqIiHDp0CCtXrkRYWBh++MMfAgDUajUee+wxrF+/Ht988w3Onj2Ln/3sZ0hKSrKvikxISMDSpUuRnp6O48eP4/jx40hPT8eKFSt6XQE5VpgtIv5yuBp1egE+Mglukl/H7AAdHpobjRlRgQAEFLQFoKppeG+kR65Z0/hRah/4eeeiKHKR+fZ5YAMfhvw2zzr8OJI7K0SH+OGW2BCIIvD5AOf5dM0QmUzOG9YfDNv8r7gwf6fsvdqZbTVu58K+MaHWeWZnK7wrUAWsiYHKjlHHmEEW870j1tp+z/lyGEfB1lU0PB4dgL3xxhvQ6XRYuHAhIiMj7T8ffPABAEAqleLChQu49957MXXqVDzyyCOYOnUqjh07BpXqxiqnV199Fffddx8eeOAB3HrrrfDz88O//vUvSKU3qqzv2rULSUlJSE1NRWpqKmbOnIkdO3a4/Dl7mvdPFuNchR4yQcS9c8bBX2IdMpBJJVg8TYMwSQtECNh7sRLmYUxrsAVgUyOcuzqNRp+USR3zwAYYgImiiMMFIx+AAbAPQ36YWTqgeT6dM0RbPjzktlWBrpr/ZWPLHOVU6dFm8K7ipKWNJrSZBUglwqCzhTMjfBAWoER9qxFHCmpGqIfkLTw619BfoT5fX198/fXX/Z7Hx8cHW7duxdatW3ttExISgp07dw66j6OZrtWILXutOw8khYjQBvqg80w5QRAwVVYNndEXtS0GXKwb2jfna7UtyKs1ABAxWRMA3XXvXcpPI29+Rw2vnPJG6FqNUPv1XQ8st7wJ1U16+MqlSI4N7rPtcC2fGYnNX+biclUzvswux4qZ/W/l1Llem7u4ogRFZ8F+cvhKRbSZBZwsqvOqPV9tw6ZRah/IpYPLYUglAlbMjMT2o0X4LKsMi6Z1X31PY4dHZ8DIvV7dn4/6ViMmqOWY2MsCT4VgQYKvdTl2ng641jD4HWffO1EMAIjwBfyVHv2dgDyAJtAHk8L9IYrAsav9ZxG+yi4HACyYFAqlbGT3FlX7yvHYbda5qq/uy4fZS1a7uaoEhY0gCIjoGL077GVbOGV1DJtOCB3aXqL3zrYG5XtzKtFqcM+QM3kGBmAEoPtclEvXG7Dj+DUAQHpyMPqaFhKuMHS8cQv455mGQT1uu9GMD05b66dNDvSODytyv0Xx1szBv86V99nObBHxUaZ131fb8OBIe/QHcVD7ynGlusUrJluLooiCKudlwCxmM/Lz8/vdg9RWjuLgJe/ZxNxgsuBCpbX8REzI0ILV2dFBmBDih1aD2asL99LwMQAjAN3novzp0zMwW0TcPT0CsyP7XzX2g8lhkEDEmfJ2HMwb+Bvqv85dR0OrERp/KSKH9oWSxqAf3mQNpvblVkLX2nspg+8v1+C6rh2BPjLc7aLN3QN95Hji9okAgP/vmwK0tBs8YqJ9byob9WhoNUIqETDZCXPAaitKsPNwTr97kGr9AJkEuFrTgstV/Rcz9QTnShvQbhKhkIgICxhauRxBEOxZsIEu1qDRiQHYKDOcVVW2uSjy8Fh8X9wGQQA2pA5sbkqQnwKT1dZ//3lP7oBX+NiybEunBIDbo9FAzYhSY5pWBYPJgj0Xes+Cfdgp++UjH9nhx87WLIhFWIAC12pb8cyOo3j5f9w/0b43ueXWPWwnhfs77RqFREY7rHrsiVQ0Y1KAdQL+jgPnPDI47cpWAFjj23Px7oGyBWDf5lej1os3cKfhYQA2yjhjVdXFeusby4qZUYjXDnxV4vRgEYFKCS5XNWP790X9ts8qacD5Uh0UMglSJ7H4Fw3Oj26yFmX++Expj8d1rUZ83bG36E+SXbtPq79ShlcemA2JAOy70oLGQOuXm/DxsS7tx0DkVlgDsGla1+7kUVtRgpYa6xDtF7n1HhmcdnUjABvedInJGhWSxqlhsoj4+IznD1PTyGAANgrZMllDebOvbGzH9VYBAoBfL548qPvKJcAjs4MAAK/sy0dpfe9bdIiiiL98aX2zXTkzCmof12UnaHS4d3YUJAJw+lo9ijqquHf22bkyGEwWTNOqkDjO9duE3T41HBuXJQAAsmoF5HnoJsyXyq39mhbp+hIwMWHWeVS1egEqbazLH38w2o1mewX7cCfU8v3pLRMAAO+fKu53xT+NTgzAyMGJjurid8T6YbJm8G/Id0/yxy1xIWgzmvGHzy72+sbyaVYZThbWwUcuwb/fPWVYfaaxSRPog9umWMsX7OwYyrapadbj/9tv3Y7swbnRDsNFnYfp+5ok7gyP3xaHRXF+ECEg42IFsmoFmDxsZeSljgxYgoszYADgI7FAo7Juzl0+sC0V3eZscQMMJguCfSRQ9V35ZEBWzY6Cn0KKq9UtODmIXR1o9GAARnZ17ejYD07EQ0nqIZ1DEAT85YeJkEsFHLhUhf+X2X14SNdmxJ/3XAIArL1zCsYHc/Y9Dc3P5scAAN76vtC++EMURWz8+AJqWwyYplVh9bwJDvdx2B6nj0niziAIAn49PxTTgqxBV4FOwG/2VtrnXbmb3mTGlWpr9tAdGTAAmNhR+qKs1bMngdoK/yZF+DhlvmqAUmbfvur9k8XDPyF5HQZgZGeb+xUTAIwLHPpXvMkaFZ5aZB2+/F8fnce/zt1Y6dNqMOE3/+8capr1mBjuj/TbJg6v0zSm3T09Ag/PmwBRBNbuysQ7X5/E7947gn05lZBJgCdv8kd+bk63yd22Yfq+Jok7i1QiIClExD1JWsgEEQW1Bqz4z+/wu11HcClvZDNw/blc1QyzRYTaVw7tCO2R2Z+JYdb5n5Vt1n1nPdXxjvlfM7XOu04PdQxDfpldgYbWwddQJO/GAIwAAJeq9ahoEyAI1sn0w7Xuzin4SfJ4WETgmQ+ysPmrXHyUWYof/v0ovr5YCalEwGMz/ZGXe9ElQ0E0ev1h5XTEhyrQbLDg+YPVeP+CNbuk0Zfhu0vXPWZy9xSNCnPlxVCbG2AWgfcu6LDpWDsq6hrc1qdc2/wvrWpYq/qGIyxAgWA/OSyigOMlnjkO2WYw42yJdf5XUoTSaeedNV6NhMhAGEwW7DrBLNhYwwCMIIoidpxrAABMjwxEgBPmN0gkAv7vj2bix8njYbaIePPbq1j/4TnkVTYhXKXE/7kzHPu+O24dBnLBUBCNXkqZFL+9PQwquQh/hRTjgnwRK63DtDCFx608VApmJIcYsWRGBORSAS3yIJxoCkaNm0oRXOoYCk2IdP38LxtBEOx7wB6+5pkBWOa1ehjNIiLVPogMcN5uHYIg4InbrTsnbPvuKprae69pR6MP930hfJpVhvOVekgg4pbYEDRXNDjlvLYg7JbYEGReq0dBVRMCBAMeSw5GTckVhEXF2PfAqy4rcspj0tgU5ifD0mgRUXHWIe1zRy5CENwzp8lkMjlk3KzZ3RvfagTBWvIhItAHHx3PR4uoxMdnynC7a+rEOrhUcSMD5k7xESqcKKxDVnk76loMCPEfWpHTkXLksnXLq5RJoU7PFK6aNQ5bD1zG1eoWvHO0CE/fyUVJYwUzYGNcbbMef/xXDoCOOl6+Tkh/dSKVCHhgbjT+749n4oXbAiEpz8YXWSXMeNGo5TDJv4/sbrCfArPl5VBJjWgzmnGoXMD1RtdmQGwrIKe5MQMGAMH+CgQpRJhF4Ms+Cuu6y5HL1v0qb5sS5vRzSyUCfr3YGnRt+64QjcyCjRkMwEaxznuy9VYZ/49f5KC+1YjYIDnig0a+T66c/EzkLrbXeX+vdblgwRx/HcIDlNCbBWz+rgZtBrNL+ljV1I6aZgMEwZqBcrcJAdY5oJ0X7XiCuhYDLl63Bqq3TnJ+AAZYi15P1gRA12bEtsNXR+QxyPMwABvFHPZk66Ey/ltHCvFZ1nVIBGDt/JA+N9wmopEhl4i4d3YUlFIRRQ1GbPr8okse92xxAwBgcngAfBXuL4Qc3bEZxsmiOlxvaHNvZzr5/nINRNEapGpGaKWoVCLg2bunAgDeOHQFWcV1Hr1/KDkH54CNcrY92br6n1Ml+NMX1qHH9anxmBrahuMdx2yZM5uuc1iIyLn8lTLcEmrGkSopPjhdgnGKViyK80dCQgJkspF5mz5dZB0WvTk2ZETOP1h+MmCGRomLVXp8lFmKtYs9Yy7U9x3zv34wAsOPnS1L1GJZohZfZVdg7a7TiG3NhzY6BtWlRVj/EyApKWlEH59cjwGYF+g6qRfAkN+YDWYRr+7Lx9YD1irh6bfF4cmFk5CdnW1vU1tRgp2XGjC51joRNj/zNMLi4jFuGM+BiPom1RUjwuiLCnkkth6vwbFTZ/C7B0bug/f0NWtZhbmxwSNy/qFInRSAi1V6fHC6BE8tmgyJm9PyoijiuwLXBGCCIOD/3JeIU0X1KNHp4RMYi5vipnb7QgwM/f2fPAv/B72AbVKvbTn9UL4R6U1mXGsC1u4px/Umazp79bwJ+N09CT2u6umcOeMKRSLXSAiTwWJRoqpJj1LfCf3fYYjajWZkl+kAADfHeEYGDAAWTPDFf5+VobS+Dceu1uLWySMb9PSnqLYVZQ1tUEglmBc38tcpNECJF+9PwuPvnkZBo4BzJQ1Aly/EzIiNHgzAvIRtUu9gtItS1Ot9UHjuOq7VtcJskQAwIVylxPMrp2N5UqTbii8SUXcSAVg8TYPdp0pQ0iIg83obRuJz9nypDkaziHCVEtEhvs5/gCHykUlw3+xx2HH8GnafKnF7AHakwLr68aaYIPgphvdxOdBM1l3TI/DTpEC8f6ERh/KrkSDzR1SkatDv/+T5GICNMmaLiNIW4MTZMhQbrPvkoc2615tKLmJlQhB+e/88BPpwThd5r/5qbY20rh+mtknSMpls2H3RBPpg9oQgnC1uwOsn6/DQnWb4yJ07Sf5Ux/yvubHBHvMlzHZNk8NisQNARnY56ltmINiNNcEO5dnKT4QP+1xdp3b0lcn6aZIaJ6/pcKVRwCWTBhJDExKH3QPyNAzARpELpTps+LoSl+skAKwVpdVSI6bHaBEX5g9DdRF+mqRm8EVer+uwvKvnKXafJ3kUEh8/TJ4x2yl9mR8Xiktl9ahqMeNPHx7DQ0lqp877yeyY/5XsQcOP9ms6Q4EAwYhmsxIfnSnF427aL7ZZb8J3HRPwFydonHLO3hZFdSUIAuaEipD7BeJSRRMutqoQXtqAWeODnNIP8gwMwEYBi0XEln15eOPQFVhEQCaImD0hBNLycwjw80Vi3HQAwPUaN3eURlTnrMxYWLnaeVjeHfMUu86TlPpah4mc0ReFTII4oQo5iMDuCw24knsev3fShHyLRbQHYJ40AR+4cU3jG/OQWQO8/X0R1iyIhUzq+opJ3+ZVw2CyIDbUzy110gQBSJ0egcaqUly3qHEorxp6owXjuGXuqMEAzMu1Gkx4ZncW9uZUAgDuiPVDoKUZEyeH4VwFa8eMJZ2zMly56v3CJS0IkhrQYFagTOG8CfmXq5uhazPCVy516x6QfYkJAAqaJChraMPXFyuxfGaky/vw9cUKAMCSGdoRH6btbUhdEARMkdVCIchQpPfHsau1mKwSMS/vxvA3V0R6LxZi9WINrQY8+OZx7M2phEIqwd8enI0Nt4bBh3+LY5Ytg8CdBryfIABTfZshAChpEXCxqt0p5z1+tRYAMDs6CHI3ZJYGQioB7plqrcz630dcXxneYLLg4KUqAEDqDO2IP15f21cJAjDJtxW3d5TBuNwkxebjLdh+tHtxbfIunvnXR/1qMVjw83+exIUyHUL9FXj/iXm4bw7zHUSjiUpmxoxx1izVP07Xw2wZ/vjTVxesmZ1F04Y/sXwk3TNFBYVUgrPFDfYhU1c5eqUGTXoTNCol5kQHueQx+9u+as6EYKROjwAgok4WirNNKoRExbqkbzQyGIB5IZMF2HSwCudLdQj2k+OFhSFQNJbhwoULHanrnt+ku+4Nye0t3GMge3QS2aRMDIVcIuJqvREfnCoZ1rmqm/Q4UWjNgC1LdP2w3mAE+0px3xxrIPLmt1dc+thfX7RO6bh7eoTbi8F2lhAZiERZJSQQcbWmBUcqBLSbLO7uFg0RB6u8jMUi4lglUNFmQIBCgn+La8aHey9BEx0HoO/VYJ3nCI1EMT9WbB6YwSxHJ/JTyDAjWERWrYCX9+ZheVIk1H5DW2CRcbECFhGYNV6N6BA/J/fU+Z64fSI+zCzF3pxKnCtpwCwXZKP0JjP2dpr/5WnCpK2YrdQhuz0EVe0WbD5cg/eTzFDK3L+fJw0OM2BeRBRFfJtfjYo2CQTRglvCTPjmyCnI/AP7TF13ZpsjZFu+70z9bf49UF0zRH1l9byV7f9hpP4vaHSZFAhEq+WoazHg5b15Qz7Pl+fLAcAtk9qHYrJGhR92TK0YzvMejIzsCtS2GBARqMSCSaEueczBCpYbsWp2FKSCiDPl7Xj6vbMwmpkJ8zYMwLzI2ZIGnC/TARCR6N+EpATPm2ztjMCiayDXeUIq0VgkEYBf3mwtGbHj+DWcLBz834M3DT929u93TYVcKuC7ghocvTLytXR2nSgGADw0d8KIlr/o/EVzKF8yxwX54latCLkE2JdTiWc+yHLKHEFyHQZgXqK0GfZNYSdJ66BRGNzco5HVOZDztCCTyB1man3w0NxoAMBvPzqPdqN5UPe3Dz9GB3n88GPn4KSh7ApSJ/kDAP6akQfLCAYZ+ZVNOFlYB6lEwE9vGbm9OIEuXzSH+CUzXGHGI5MMkEmAPefLkb7tWxgMxhHoLY0EBmBe4FKNHieqrRNBZ45XY7xU5+YekTNxcQQN1MZ7EqBRKXG1pgWv7svv/w4dTGYLdhwrAgAsT/K8eU1ddc2C1xVehI9MQFZJA947WTxij7vr+DUAwF0JGmjVPiP2ODbDLRtTW1GCzPPZuCXcAgEiDhS2YN27RyGKzIR5AwZgHq6+xYD/c6gaFlFAXJg/7pgaDg/Zuo2cpPOHzUsffIPPPvtsVM9/o6FT+8rxp/usuwK+efiqfbJ4fz46U4r8ymaofeV48OaRzew4S+cs+PjoaKTNCgIAvPjVJZTr2pz+eM16Ez4+UwYA+Nn8GKeff6SEREZjbmI8lsyIBCAi43Iz/vRFLoMwL8AAzMMF+yvwQKIawUoRyxK1kDD6cjpPKAth+7CRSKWc/0Z9WjJDizULYgEAz/7POVyuau6zfZvBjFc6smVr75w85BWU7rZ8agDmTAhCs96E5z7NdnqA8frBy2jSmzAxzB+3Tgpz6rldIV6rws3h1mvyz+8LsfmrSwzCPBwDMC+wapoKd0aJHlu12ts5a/Wms3D+G/Xn98sTcEtcCJr1Jjz+zimUNfSeEfrn94WobNRjXJAv0lJ6z+yYTCaHLyGeln2VSgT83x/NhFwqYH9uFXZ0DBc6Q0ldK/77SCEA4LfLpnlU7a/BiFMBv5xrXazxj8NX8b8+Og8TV0d6LH6iewkvfT/wGiwLQd5ELpXg9YdvwrggXxTVtuKHf/8e2WXd54Z+fKbUPlfsP5bE91krqq/tcDzF1AgVNqRaN0B/4V85+P6yc1ZF/uXLXBhMFtw6ORR3T49wyjndZflUFf7vj5IgEYD/OV2KX+7MRFM7J+Z7IlbIJHKSzoVobZvpkvt1LRDsjf83vRU5/vCXKfi3t08hr7IJP/mvY3hwbjR+nDweRrMF+3Mr8feD1gry986OwqpZ/WdTbdvhAEB1WZHTn4czPHH7RFyqaMInZ8vw5K4z+OhXCzBZEzDk8x3Mq8JX2RWQCMBzK6aP+MbbrvDg3AkI8lNg7ftnsT+3Cvf+/Xv8Iy0ZkzUqd3eNOmEARuQknSvc97UjAQ2Ms3ZW6LrzgDf+3/S1e8KHv0rBU7vO4LuCGmw/WoTtR4sc7vvE7RPx26XeO6zWlSAI2Hx/EgprWpBV0oAH3jyGf66Zi9lDqJKfc70Ra987CwBImx+DadpAJ/fWtTr/zUQBeO+xuXj6/XO4Wt2Ce1/7Hr+9JwEP3zLB7a8Fk8nUbZrHWNw1ZWw9W6IRZhvK9NTsgTt0fbMdaAbKmVs22f5fAM/N7PSn83PoLNBHjnf+7RYcuVyDXSeu4ZvcKgT7KzA5PAA/vGkcHrg52g29da7OgYVtgcz6W/zxQksrLtcZ8NN/HMeWB2bhnqSBF5gta2jDv20/iWa9CfMnhuB3yxPsxzq/Zm2PZwsOPDmD2vlvprL4Cu6dE42/3jUJL31fgwuVejz3aTb+de46Xlg1AwmRrgs2e3oP+DyrDKHj4tBiAirKyzB34mVEjRsHhWBBgEKCKLUSvnJJt+s/mgK10fEsiMhj2eYW2ebWDSYD1VvQQY4kEgG3Tw3H7VPDYbGIbs9wOJtjdvkoJD5+mDxjNpICgdr6dtQb/fDkrjO4e3oEnl85HeOD+y40+8X563ju02zUtxoxRROA1386G/m5OfbjtgBBEx3n8HiA52dQO38J3Hk4B5NnKBDvB7RKalCCcJwsrMM9/993WJ6kxbq7pmJqxMgPS+bm5uKl/zkESVgsatqB4soW6JWx0BfZpqFH41wBgIJqh/sppSIUbfUIENoQPyES5ppr+M0Do2ffXAZgXbz++ut46aWXUF5ejhkzZuBvf/sbbrvtNnd3i8irecPcotGic/DVNfPgzdmEzoGF1Fdlfz3dKeRB4heIT3KbsC+nEgcuVWFRvAY/nDMOM6ICER3iB7NFRH2rAYfzq/FZ1nUc6Zi8P02rwltr5qKs6HKPXxJ6ejxvev12/gJTc70ISl0VGkNnoLRFwBcXKvDFhQrcEhuCB+ZG464EDYL8FE57bL3JjOyyRhy/Wot956pw3hQHS3nHa1MRCnQssFXIJJCa2yGTCPD1C0BTcxOMkMEkSqA3C9ArQtAEoLwcEBCLqq8r8GpoDKZHefdwMcAAzMEHH3yAZ555Bq+//jpuvfVWvPnmm1i2bBlycnIwYYJ3FC8kcgdnzdeigelpSM52rTv/3jmTA8Ahm2MdosrH1KlTrcc8eGitLxIB+PnsIKSnzsbzn13Esau12J9bif25lfbjXatpSCUCnlo0GU8vmgyFTIK6krHxJSFSG4G7k6ci51IemiX+OFnWjpNFdThZZN1+KTkmGLfEhmDOhCBMjVAhKsgX0gFkU9uNZlyrbcWlikacLW7A2ZIG5FzXwWjufOEF+MqlGB/sC0vtNQT5SpB8UzJ8ZBKc/34vpL4qJCZPx7kjX0Pqq8KUmfNQ12pA5tlzaJQEoEXwQ6vBjLwaA0L8nRcouhPfHTt55ZVX8Nhjj+Hxxx8HAPztb3/D119/jTfeeAObN292c+/IVbiacfC6ztfq/OHurGvI/5cbehuSAxyDrM6ZHAAO2Rz7EJUXL07obGqECu8/MR+Xq5rw4elSHC6owdXqZuhNN+pgTdOqsCwxEqtmRyE6SInc3IsAxt7rKVBmxlJNPX5x80TsvdKC76+14prOiJOFdQ4bvStkEkQEKhHqr0SgrxwKqQRSCWAwWdButKC+1YCaZgNqmvU9P45SghkaJbRCI1pMEkybNhmCIODckfOQylTwlfdeFkUplyJS7YtomQ5SXwtm3DQDBQX5SIoJd8k2Ua7AAKyDwWBAZmYmfvvb3zrcnpqaiqNHj/Z4H71eD73+xgtPp7PW4WlsbHRq35qbm1F2JRf6tlYAQFVxISRKX/j7+jr8ezDHaq5fQ5ZvA5qbrVW0L1++jLIr5dC3tQ75nF2PueIxRuLY5awTOKGrx7jYySjJz0bI+Ikw6Nvc3k93P/5AjtleozVlxXg155xTr+FA/1885Vq44pi+rRVGgx4SQWK/9p1/Nxr0qCwqGND/2UDaeuKxru8zALAwGFh4iwxmixo6vRlKiQQ+cqEjm1ODioIaHLl8GTv3nkRQuHbIr1FPuxYDPdb5bwkAfKor8O+3z0Ojrxb5tXpcrjOgstmEdj1wraUZAyl5q5SKENoboZZbEIg2NBVdgFwwwxI7GSc6rq+POLy/V931a5hzU5jTP2OBG5/brtw9gAFYh5qaGpjNZkREOBbhi4iIQEVFz/utbd68GS+88EK326OjvWPV0fuj5DGIaGzj+8zw7d35mru7MCDv/3Vkz9/U1AS1Wj2yD9KBAVgXXYvwiaLYa2G+jRs34tlnn7X/brFYUFdXh9DQUKcW82tsbER0dDRKSkoQGOj9Ew+9Ba+7e/C6uwevu/vw2rtH5+uuUqnQ1NSEqCjXbf/GAKxDWFgYpFJpt2xXVVVVt6yYjVKphFKpdLgtKChopLqIwMBA/nG6Aa+7e/C6uwevu/vw2ruH7bq7KvNlw70gOygUCiQnJ2Pfvn0Ot+/btw8LFixwU6+IiIhoNGIGrJNnn30WaWlpuPnmm5GSkoJ//OMfKC4uxi9/+Ut3d42IiIhGEQZgnTz44IOora3FH//4R5SXlyMxMRFffvklYmJi3NovpVKJ559/vttwJ40sXnf34HV3D1539+G1dw93X3dBdOWaSyIiIiLiHDAiIiIiV2MARkRERORiDMCIiIiIXIwBGBEREZGLMQDzcK+//jri4uLg4+OD5ORkfPfdd+7uktfYtGkTBEFw+NFqtfbjoihi06ZNiIqKgq+vLxYuXIiLFy86nEOv12Pt2rUICwuDv78/Vq1ahdLSUoc29fX1SEtLg1qthlqtRlpaGhoaGlzxFD3G4cOHsXLlSkRFRUEQBHz66acOx115rYuLi7Fy5Ur4+/sjLCwM69atg8FgGImn7Xb9Xfc1a9Z0+xuYP3++Qxte98HZvHkz5s6dC5VKBY1Gg/vuuw95eXkObfh6d76BXHeve72L5LF2794tyuVycdu2bWJOTo7461//WvT39xevXbvm7q55heeff16cMWOGWF5ebv+pqqqyH3/xxRdFlUolfvTRR+KFCxfEBx98UIyMjBQbGxvtbX75y1+K48aNE/ft2yeeOXNGXLRokThr1izRZDLZ2yxdulRMTEwUjx49Kh49elRMTEwUV6xY4dLn6m5ffvml+Pvf/1786KOPRADiJ5984nDcVdfaZDKJiYmJ4qJFi8QzZ86I+/btE6OiosSnn356xK+BO/R33R955BFx6dKlDn8DtbW1Dm143QdnyZIl4ttvvy1mZ2eLWVlZ4vLly8UJEyaIzc3N9jZ8vTvfQK67t73eGYB5sFtuuUX85S9/6XDbtGnTxN/+9rdu6pF3ef7558VZs2b1eMxisYharVZ88cUX7be1t7eLarVa/K//+i9RFEWxoaFBlMvl4u7du+1tysrKRIlEImZkZIiiKIo5OTkiAPH48eP2NseOHRMBiJcuXRqBZ+X5ugYCrrzWX375pSiRSMSysjJ7m/fff19UKpWiTqcbkefrKXoLwO69995e78PrPnxVVVUiAPHbb78VRZGvd1fpet1F0fte7xyC9FAGgwGZmZlITU11uD01NRVHjx51U6+8T0FBAaKiohAXF4eHHnoIV69eBQAUFhaioqLC4foqlUrccccd9uubmZkJo9Ho0CYqKgqJiYn2NseOHYNarca8efPsbebPnw+1Ws3/pw6uvNbHjh1DYmKiw4a6S5YsgV6vR2Zm5og+T0916NAhaDQaTJ06Fenp6aiqqrIf43UfPp1OBwAICQkBwNe7q3S97jbe9HpnAOahampqYDabu20EHhER0W3DcOrZvHnz8O677+Lrr7/Gtm3bUFFRgQULFqC2ttZ+Dfu6vhUVFVAoFAgODu6zjUaj6fbYGo2G/08dXHmtKyoquj1OcHAwFArFmPz/WLZsGXbt2oUDBw5gy5YtOHXqFO68807o9XoAvO7DJYoinn32WfzgBz9AYmIiAL7eXaGn6w543+udWxF5OEEQHH4XRbHbbdSzZcuW2f+dlJSElJQUTJo0Ce+88459YuZQrm/XNj215/9Td6661vz/uOHBBx+0/zsxMRE333wzYmJisGfPHtx///293o/XfWCefvppnD9/HkeOHOl2jK/3kdPbdfe21zszYB4qLCwMUqm0WzRdVVXVLfKmgfH390dSUhIKCgrsqyH7ur5arRYGgwH19fV9tqmsrOz2WNXV1fx/6uDKa63Vars9Tn19PYxGI/8/AERGRiImJgYFBQUAeN2HY+3atfj8889x8OBBjB8/3n47X+8jq7fr3hNPf70zAPNQCoUCycnJ2Ldvn8Pt+/btw4IFC9zUK++m1+uRm5uLyMhIxMXFQavVOlxfg8GAb7/91n59k5OTIZfLHdqUl5cjOzvb3iYlJQU6nQ4nT560tzlx4gR0Oh3/nzq48lqnpKQgOzsb5eXl9jZ79+6FUqlEcnLyiD5Pb1BbW4uSkhJERkYC4HUfClEU8fTTT+Pjjz/GgQMHEBcX53Ccr/eR0d9174nHv94HPF2fXM5WhuKtt94Sc3JyxGeeeUb09/cXi4qK3N01r7B+/Xrx0KFD4tWrV8Xjx4+LK1asEFUqlf36vfjii6JarRY//vhj8cKFC+JPf/rTHpeKjx8/Xty/f7945swZ8c477+xxyfLMmTPFY8eOiceOHROTkpLGXBmKpqYm8ezZs+LZs2dFAOIrr7winj171l4yxVXX2rY8fPHixeKZM2fE/fv3i+PHjx+Vy/JFse/r3tTUJK5fv148evSoWFhYKB48eFBMSUkRx40bx+s+DL/61a9EtVotHjp0yKHcQWtrq70NX+/O199198bXOwMwD/f3v/9djImJERUKhXjTTTc5LLmlvtlq78jlcjEqKkq8//77xYsXL9qPWywW8fnnnxe1Wq2oVCrF22+/Xbxw4YLDOdra2sSnn35aDAkJEX19fcUVK1aIxcXFDm1qa2vFhx9+WFSpVKJKpRIffvhhsb6+3hVP0WMcPHhQBNDt55FHHhFF0bXX+tq1a+Ly5ctFX19fMSQkRHz66afF9vb2kXz6btPXdW9tbRVTU1PF8PBwUS6XixMmTBAfeeSRbteU131werreAMS3337b3oavd+fr77p74+td6HhiREREROQinANGRERE5GIMwIiIiIhcjAEYERERkYsxACMiIiJyMQZgRERERC7GAIyIiIjIxRiAEREREbkYAzAiIiIiF2MARkTUjzVr1uC+++5zdzeIaBRhAEZEXmXNmjUQBAGCIEAul2PixInYsGEDWlpa3N01IqIBk7m7A0REg7V06VK8/fbbMBqN+O677/D444+jpaUFb7zxxqDPZTAYoFAoRqCXRES9YwaMiLyOUqmEVqtFdHQ0Vq9ejYcffhiffvppj0OFzzzzDBYuXGj/feHChXj66afx7LPPIiwsDHfffTcA4OLFi1i+fDkCAwOhUqlw22234cqVKw7nevnllxEZGYnQ0FA89dRTMBqN9mM7d+7EzTffDJVKBa1Wi9WrV6Oqqsp+vL6+Hg8//DDCw8Ph6+uLKVOm4O2337YfLysrw4MPPojg4GCEhobi3nvvRVFRkfMuGhF5FAZgROT1fH19HYKh/rzzzjuQyWT4/vvv8eabb6KsrAy33347fHx8cODAAWRmZuLRRx+FyWSy3+fgwYO4cuUKDh48iHfeeQfbt2/H9u3b7ccNBgP+9Kc/4dy5c/j0009RWFiINWvW2I8/99xzyMnJwVdffYXc3Fy88cYbCAsLAwC0trZi0aJFCAgIwOHDh3HkyBEEBARg6dKlMBgMw74+ROR5OARJRF7t5MmTeO+997B48eIB32fy5Mn461//av/9d7/7HdRqNXbv3g25XA4AmDp1qsN9goOD8dprr0EqlWLatGlYvnw5vvnmG6SnpwMAHn30UXvbiRMn4j//8z9xyy23oLm5GQEBASguLsacOXNw8803AwBiY2Pt7Xfv3g2JRIL//u//hiAIAIC3334bQUFBOHToEFJTUwd3UYjI4zEDRkRe54svvkBAQAB8fHyQkpKC22+/HVu3bh3w/W1BkE1WVhZuu+02e/DVkxkzZkAqldp/j4yMdBhiPHv2LO69917ExMRApVLZhz2Li4sBAL/61a+we/duzJ49G7/5zW9w9OhR+30zMzNx+fJlqFQqBAQEICAgACEhIWhvb+82DEpEowMzYETkdRYtWoQ33ngDcrkcUVFR9sBJIpFAFEWHtj0NTfr7+zv87uvr2+9jdg3OBEGAxWIBALS0tCA1NRWpqanYuXMnwsPDUVxcjCVLltiHEJctW4Zr165hz5492L9/PxYvXoynnnoKL7/8MiwWC5KTk7Fr165ujxseHt5v34jI+zAAIyKv4+/vj8mTJ3e7PTw8HNnZ2Q63ZWVl9ZnZAoCZM2finXfegdFo7LdtTy5duoSamhq8+OKLiI6OBgCcPn26x/6tWbMGa9aswW233Yb/+I//wMsvv4ybbroJH3zwATQaDQIDAwf9+ETkfTgESUSjxp133onTp0/j3XffRUFBAZ5//vluAVlPnn76aTQ2NuKhhx7C6dOnUVBQgB07diAvL29AjzthwgQoFAps3boVV69exeeff44//elPDm3+8Ic/4LPPPsPly5dx8eJFfPHFF0hISAAAPPzwwwgLC8O9996L7777DoWFhfj222/x61//GqWlpYO/EETk8RiAEdGosWTJEjz33HP4zW9+g7lz56KpqQk///nP+71faGgoDhw4gObmZtxxxx1ITk7Gtm3bBpwNCw8Px/bt2/Hhhx9i+vTpePHFF/Hyyy87tFEoFNi4cSNmzpyJ22+/HVKpFLt37wYA+Pn54fDhw5gwYQLuv/9+JCQk4NFHH0VbWxszYkSjlCB2nTBBRERERCOKGTAiIiIiF2MARkRERORiDMCIiIiIXIwBGBEREZGLMQAjIiIicjEGYEREREQuxgCMiIiIyMUYgBERERG5GAMwIiIiIhdjAEZERETkYgzAiIiIiFzs/wdmXSdPYmPZqAAAAABJRU5ErkJggg==",
      "text/plain": [
       "<Figure size 640x480 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "sns.histplot(data = m0, x = 'Purchase', kde = True)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 103,
   "id": "3a24cfc4-400d-49bb-98d6-7a3b81b0a4ed",
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "(1021.0571306953971, 17510.758107147616)"
      ]
     },
     "execution_count": 103,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "lower_range_m0 = m0_mean - 1.64 * m0_std\n",
    "upper_range_m0 = m0_mean + 1.64 * m0_std\n",
    "(lower_range_m0,upper_range_m0)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 104,
   "id": "d03c700e-33d5-477f-be22-5cc36a566669",
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "<Axes: xlabel='Purchase', ylabel='Count'>"
      ]
     },
     "execution_count": 104,
     "metadata": {},
     "output_type": "execute_result"
    },
    {
     "data": {
      "image/png": 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",
      "text/plain": [
       "<Figure size 640x480 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "sns.histplot(data = m1, x = 'Purchase', kde = True)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 105,
   "id": "03f5f431-6e49-4794-acef-f1553bb274c0",
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "(1033.4628745016416, 17488.886273663105)"
      ]
     },
     "execution_count": 105,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "lower_range_m1 = m1_mean - 1.64 * m1_std\n",
    "upper_range_m1 = m1_mean + 1.64 * m1_std\n",
    "(lower_range_m1,upper_range_m1)"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "6ac12850-c2b1-4e62-9f30-98d3c591d0d3",
   "metadata": {},
   "source": [
    "## Confidence Interval for whole data\n",
    "### Consider Confidence level at 95%\n",
    "- The average purchase value between the 95% of the data lies between the range 1021 and 17510 for m0\n",
    "- The average purchase value between the 95% of the data lies between the range 1033 and 17488 for m1\n",
    "- There is difference between the range of the single and married average purchase value"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "7fdb1aa1-bf95-41ea-93d2-52c149bb0a07",
   "metadata": {},
   "source": [
    "### Sample size considering 300 for Married"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 106,
   "id": "ca0a9c42-47ea-4605-8872-4276125940d3",
   "metadata": {},
   "outputs": [],
   "source": [
    "sam_m1 = [m1['Purchase'].sample(300).mean() for i in range (500)]\n"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 107,
   "id": "9a19c464-8c0a-4a02-91a4-3d9af7b72285",
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "<Axes: ylabel='Count'>"
      ]
     },
     "execution_count": 107,
     "metadata": {},
     "output_type": "execute_result"
    },
    {
     "data": {
      "image/png": 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",
      "text/plain": [
       "<Figure size 640x480 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "sns.histplot(x = sam_m1, kde = True)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 127,
   "id": "6e93e3a0-2eb9-4eaf-bf22-120f52a4609c",
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "(8698.825140944708, 9828.46289105529)"
      ]
     },
     "execution_count": 127,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "m1_mean = np.mean(sam_m1)\n",
    "se= m1_std/np.sqrt(300)\n",
    "lower_range_m1 = m1_mean - 1.95 * se\n",
    "upper_range_m1 = m1_mean + 1.95 * se\n",
    "(lower_range_m1,upper_range_m1)"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "fbfb4f79-086c-49ac-b084-7be99c3d8122",
   "metadata": {},
   "source": [
    "### Sample size considering 300 for Not Married"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 109,
   "id": "0bbb8882-783b-43ab-8e3b-40d74db371f8",
   "metadata": {},
   "outputs": [],
   "source": [
    "sam_m0 = [m0['Purchase'].sample(300).mean() for i in range (500)]\n"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 110,
   "id": "08646911-f670-4ac9-9608-b12ebf0a4e0f",
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "<Axes: ylabel='Count'>"
      ]
     },
     "execution_count": 110,
     "metadata": {},
     "output_type": "execute_result"
    },
    {
     "data": {
      "image/png": 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",
      "text/plain": [
       "<Figure size 640x480 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "sns.histplot(x = sam_m0, kde = True)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 126,
   "id": "a011f820-aaf1-4426-84e3-64846b06f8db",
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "(8697.648591294459, 9829.639440705538)"
      ]
     },
     "execution_count": 126,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "m0_mean = np.mean(sam_m1)\n",
    "se= m0_std/np.sqrt(300)\n",
    "lower_range_m0 = m0_mean - 1.95 * se\n",
    "upper_range_m0 = m0_mean + 1.95 * se\n",
    "(lower_range_m0,upper_range_m0)"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "7c8f5775-97c6-46a9-81fd-b26ddb22a08d",
   "metadata": {},
   "source": [
    "## Comparing the width of the confidence interval for sample size 300\n",
    "\n",
    "- The average purchase value between the 95% of the data lies between the range 8698 and 9828  for Married\n",
    "- The average purchase value between the 95% of the data lies between the range 8697 and 9829 for Not married\n"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "d32eac49-3822-4af6-b9c6-20ecb82451af",
   "metadata": {},
   "source": [
    "### Sample size considering 3000 for Married"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 112,
   "id": "12a8a57a-68d9-489a-ac81-b71bcb6f6673",
   "metadata": {},
   "outputs": [],
   "source": [
    "sam_m1 = [m1['Purchase'].sample(3000).mean() for i in range (500)]\n"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 113,
   "id": "7208727c-9701-40e0-8b55-4d5495cdb035",
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "<Axes: ylabel='Count'>"
      ]
     },
     "execution_count": 113,
     "metadata": {},
     "output_type": "execute_result"
    },
    {
     "data": {
      "image/png": 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",
      "text/plain": [
       "<Figure size 640x480 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "sns.histplot(x = sam_m1, kde = True)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 125,
   "id": "55b7e24c-53ac-43da-88d0-5bf88a3a7307",
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "(8698.825140944708, 9828.46289105529)"
      ]
     },
     "execution_count": 125,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "m1_mean = np.mean(sam_m1)\n",
    "se= m1_std/np.sqrt(300)\n",
    "lower_range_m1 = m1_mean - 1.95 * se\n",
    "upper_range_m1 = m1_mean + 1.95 * se\n",
    "(lower_range_m1,upper_range_m1)"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "86af3b63-f0aa-42db-a7d2-2b94bb170c62",
   "metadata": {},
   "source": [
    "### Sample size considering 3000 for Not Married"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 116,
   "id": "5d8baa7b-b142-49cb-a94b-0bab889876e4",
   "metadata": {},
   "outputs": [],
   "source": [
    "sam_m0 = [m0['Purchase'].sample(3000).mean() for i in range (500)]"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 117,
   "id": "8b741dbc-0c64-4bae-850e-6c526c79e318",
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "<Axes: ylabel='Count'>"
      ]
     },
     "execution_count": 117,
     "metadata": {},
     "output_type": "execute_result"
    },
    {
     "data": {
      "image/png": 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",
      "text/plain": [
       "<Figure size 640x480 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "sns.histplot(x = sam_m0, kde = True)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 124,
   "id": "409efc70-0113-43fd-98a0-6dfda2c03546",
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "(8697.648591294459, 9829.639440705538)"
      ]
     },
     "execution_count": 124,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "m0_mean = np.mean(sam_m1)\n",
    "se= m0_std/np.sqrt(300)\n",
    "lower_range_m0 = m0_mean - 1.95 * se\n",
    "upper_range_m0 = m0_mean + 1.95 * se\n",
    "(lower_range_m0,upper_range_m0)"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "f5028b99-9cf1-42bc-b73a-da3433901a34",
   "metadata": {},
   "source": [
    "## Comparing the width of the confidence interval for sample size 3000\n",
    "\n",
    "- The average purchase value between the 95% of the data lies between the range 8698 and 9828 for Married\n",
    "- The average purchase value between the 95% of the data lies between the range 8697 and 9829 for Not married"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "b26d7f6f-72d6-4f33-b84c-061fef7a5081",
   "metadata": {},
   "source": [
    "# Recommendations\n",
    "\n",
    "- To increase sales, the company should implement strategies tailored to both genders, considering that men generally spend more. While targeting male customers, it's essential not to overlook females by offering discounts and special offers.\n",
    "- since the age group of 51-55 demonstrates higher spending, allocating more resources to attract customers from other age brackets is crucial.\n",
    "- Certain product categories, such as 19, 20, and 13, show minimal purchase activity. Considering dropping these categories could streamline inventory and resource allocation, optimizing overall operations\n",
    "-  Moreover, the analysis reveals a significant frequency of purchase orders falling within the 5k to 10k range. Focusing efforts on promoting and enhancing the appeal of products within this mid-range price segment can potentially drive higher sales and revenue."
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    "# Questions: \n",
    "- Are women spending more money per transaction than men? Why or Why not?\n",
    "  - No the women are not spending more money than men\n",
    "  - There may be various reason to this some of them must be :\n",
    "   - Men must be earning greater than women\n",
    "   - Quality of product for women is not good\n",
    "   \n",
    "- Confidence intervals and distribution of the mean of the expenses by female and male customers\n",
    "  - At 95% confidence interval and sample of 30000\n",
    "  - The average purchase value between the 95% of the data lies between the range 9379 and 9494 for Male\n",
    "  - The average purchase value between the 95% of the data lies between the range 8276 and 8789 for Female\n",
    "  \n",
    "- Are confidence intervals of average male and female spending overlapping? How can Walmart leverage this conclusion to make       changes or improvements? \n",
    "  - No the average spending is not overlapping. But this can be change by add some female centric marketing it can be achievable\n",
    "  \n",
    "- Results when the same activity is performed for Married vs Unmarried (10 Points)\n",
    "  - At 95% confidence interval and sample of 3000\n",
    "  - The average purchase value between the 95% of the data lies between the range 8698 and 9828 for Married\n",
    "  - The average purchase value between the 95% of the data lies between the range 8697 and 9829 for Not married\n",
    "  \n",
    "- Results when the same activity is performed for Age\n",
    "   - At 95% confidence interval and sample of 300\n",
    "   - For age 0-17 confidence interval of means: (8338, 9158)\n",
    "   - For age 18-25 confidence interval of means: (8601, 9692)\n",
    "   - For age 26-35 confidence interval of means: (8644, 9844)\n",
    "   - For age 36-45 confidence interval of means: (8741, 9923)\n",
    "   - For age 46-50 confidence interval of means: (8635, 9772)\n",
    "   - For age 51-55 confidence interval of means: (8985, 10093)\n",
    "   - For age 55+ confidence interval of means: (8784, 9871)"
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