CLT Z-Score of Sample Mean

Problem

Standardize the sample mean of n independent observations using the central limit theorem:

z = (x - mu) / (sigma / sqrt(n)).

Return 0.0 when sigma <= 0 or n <= 0.

Hint

The standard error of the mean is sigma divided by sqrt(n).

case 1

in: [0,1,100,0.2]

expected: 2

case 2

in: [0,1,25,0.4]

expected: 2

case 3

in: [10,5,4,12]

expected: 0.8

case 4

in: [0,1,0,0]

expected: 0

Starter codePython

import math


def clt_zscore_sample_mean(mu, sigma, n, x):
    # Your code here
    pass

4 test cases · run your code against them in the editor