14 Example - Analyzing the difference in distributions#

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import numpy as np
import pandas as pd
from pandas import Series, DataFrame
import matplotlib.pyplot as plt
import seaborn as sns
from scipy import stats

khanacademy

Example - Analyzing the difference in distributions fig 1

mu_m = 178
sigma_m = 8 
mu_w = 170
sigma_w = 6

mu_d = mu_m - mu_w

sigma_d_sq = sigma_m ** 2 + sigma_w ** 2

sigma_d = np.sqrt(sigma_d_sq)

sigma_d

10.0

z_score_0 = (0 - mu_d) / sigma_d

z_score_0

-0.8

stats.norm.cdf(z_score_0)

0.2118553985833967