11 Example - Probability of sample mean exceeding a value#

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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, special

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Example - Probability of sample mean exceeding a value fig 1 Example - Probability of sample mean exceeding a value fig 2

mu = 2
sigma = 0.7
n = 50
mu_x_bar = mu
sigma_x_bar = sigma / np.sqrt(n)

zscore = (2.2 - mu_x_bar) / sigma_x_bar

stats.norm.cdf(zscore)

0.9783241243695687