The following information was obtained from independent random samples taken of two populations. Assume normally distributed populations with equal variances.
The degrees of freedom for the t distribution are
A) 22.
B) 10.
C) 24.
D) 20.

Question

The following information was obtained from independent random samples taken of two populations. Assume normally distributed populations with equal variances.  ​
The degrees of freedom for the t distribution are
A) 22. 
B) 10. 
C) 24. 
D) 20.

Quizplus · Accepted Answer

The degrees of freedom for the t distribution in a two-sample t-test with equal variances is given by df = n1 + n2 - 2, where n1 and n2 are the sample sizes of the two populations. In this case, n1 = 12 and n2 = 10, so df = 12 + 10 - 2 = 20. Therefore, the correct answer is D.

The Following Information Was Obtained from Independent Random Samples Taken