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Sampling variability¶
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).
In [3]:
import numpy as np
import pandas as pd
import matplotlib.pyplot as plt
rng = np.random.default_rng(7)
population = rng.lognormal(mean=1.0, sigma=0.6, size=200_000)
popMu = population.mean()
popSD = population.std(ddof=0)
popMu, popSD
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