Pooled t Statistic Two Samples

Problem

The pooled two-sample t statistic uses the pooled variance sp^2 = ((n1 - 1) s1^2 + (n2 - 1) s2^2) / (n1 + n2 - 2) and computes t = (x1 - x2) / (sp * sqrt(1/n1 + 1/n2)).

Given the means, standard deviations, and sizes, return t.

Hint

Pool the variances first, then standardize by the combined standard error.

Test cases

case 1

in: [5,4,1,10,1,10]

expected: 2.23606797749979

case 2

in: [1,0,2,8,3,8]

expected: 0.7844645405527362

case 3

in: [2,2,1.5,6,1.5,6]

expected: 0

Starter codePython

def pooled_t_statistic_two_samples(x1, x2, s1, n1, s2, n2):
    # Your code here
    pass

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