In an experiment using the independent groups design, there are 10 subjects in one group and 12 subjects in the other group. The sampling distribution of t that is appropriate for that experiment is identical to the t distribution that is appropriate for a single sample design with _________ subjects.
A) 22
B) 21
C) 20
D) 11

Question

Quizplus · Accepted Answer

In an independent groups design, the appropriate degrees of freedom for the t distribution is calculated based on the number of subjects in both groups minus 2 (since there are two groups). Therefore, with 10 subjects in one group and 12 in the other, the total is 22, and subtracting 2 gives 20 degrees of freedom. However, the question asks for the equivalent single sample size, which would be the degrees of freedom plus 1, resulting in 21 subjects.

In an Experiment Using the Independent Groups Design, There Are