{
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  {
   "cell_type": "markdown",
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   "source": [
    "# Sampling variability\n",
    "We create population (known distribution), then repeatedly take random samples and computes the sample mean. Then, we compare how variability changes for different sample sizes (n). "
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 3,
   "id": "aa141540",
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "(np.float64(3.2549582990800525), np.float64(2.13814149865377))"
      ]
     },
     "execution_count": 3,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "import numpy as np\n",
    "import pandas as pd\n",
    "import matplotlib.pyplot as plt\n",
    "rng = np.random.default_rng(7)\n",
    "population = rng.lognormal(mean=1.0, sigma=0.6, size=200_000)\n",
    "popMu = population.mean()\n",
    "popSD = population.std(ddof=0)\n",
    "popMu, popSD"
   ]
  }
 ],
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