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

Question

Quizplus · Accepted Answer

The number of degrees of freedom for the equal-variances t test is given by df = n1 + n2 - 2, where n1 and n2 are the sample sizes. Substituting the given values, we get df = 25 + 35 - 2 = 58. Therefore, the correct choice is C.

Two Samples of Sizes 25 and 35 Are Independently Drawn