uncertainty_stimation.ipynb

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     "text": [
      "We have 95.0% confidence that the true population mean is between 0.56 and 1.01\n"
     ]
    },
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     "text": [
      "C:\\Users\\ylou2\\AppData\\Local\\Temp\\1\\ipykernel_18816\\198315479.py:11: DeprecationWarning: Use of keyword argument `alpha` for method `interval` is deprecated. Use first positional argument or keyword argument `confidence` instead.\n",
      "  low_boundary, high_boundary = scipy.stats.norm.interval(alpha=confidence_level,\n"
     ]
    }
   ],
   "source": [
    "import pandas as pd\n",
    "import numpy as np\n",
    "import scipy\n",
    "\n",
    "# define condidence level\n",
    "confidence_level = 0.95\n",
    "\n",
    "df = pd.read_csv('data.csv')\n",
    "data = df['annual_bill_savings']\n",
    "\n",
    "low_boundary, high_boundary = scipy.stats.norm.interval(alpha=confidence_level,\n",
    "                                                        loc=data.mean(),\n",
    "                                                        scale=scipy.stats.sem(data)) \n",
    "low_boundary = np.round(low_boundary,2)\n",
    "high_boundary = np.round(high_boundary,2)\n",
    "print(f'We have {confidence_level*100}% confidence \\\n",
    "that the true population mean is between {low_boundary} and {high_boundary}')"
   ]
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