Two samples, one of size 14 and the second of size 13, are selected to test the difference between two population means. How many degrees of freedom are used to find the critical value? Assume the population standard deviations are equal.
A) 27
B) 26
C) 25
D) 14
E) 13

Question

Quizplus · Accepted Answer

To find the critical value for the t-test when the population variances are equal, we use the formula: df = n1 + n2 - 2, where n1 and n2 are the sample sizes.

Substituting the values given in the question, we get: 
df = 14 + 13 - 2 = 25

Therefore, the answer is C) 25.

Two Samples, One of Size 14 and the Second of Size