Two samples of sizes 25 and 35 are independently drawn from two normal populations, where the unknown population variances are assumed to be equal. The number of degrees of freedom of the equal-variances t-test statistic is:
A) 60
B) 59
C) 58
D) 35
E) 34

Question

Quizplus · Accepted Answer

The number of degrees of freedom for the equal-variances t-test statistic is calculated using the formula: df = (n1 + n2 - 2), where n1 and n2 are the sample sizes of the two groups. Thus, df = (25 + 35 - 2) = 58. Therefore, the best choice is C.

Two Samples of Sizes 25 and 35 Are Independently Drawn