CLT Mean of Uniform Sample (Seeded)

Problem

Central limit theorem demonstration with seeded uniform samples.

Draw trials independent samples of size n from Uniform(0, 1) using random.Random(seed), compute each sample mean, and return [mean of the sample means, standard deviation of the sample means]. Return [0.0, 0.0] if n <= 0 or trials <= 0.

Hint

Use the population standard deviation of the sample means (divide by trials).

Test cases

case 1

in: [30,1000,42]

expected: [0.49980475767324967,0.05228350690430031]

case 2

in: [10,500,1]

expected: [0.5008574597577204,0.09741832975350079]

case 3

in: [5,2000,123]

expected: [0.5017896092714739,0.12919952725281916]

Starter codePython

import math
import random


def clt_uniform_sample_mean(n, trials, seed):
    # Your code here
    pass

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