Which of the following sets of data would produce the largest value for an independent-measures t statistic?
A)Sample means of 10 and 12, with sample variances of 20 and 25.
B)Sample means of 10 and 12, with sample variances of 120 and 125.
C)Sample means of 10 and 20, with sample variances of 20 and 25.
D)Sample means of 10 and 20, with sample variances of 120 and 125.

Question

Quizplus · Accepted Answer

The independent-measures t statistic is larger when the difference between the sample means is larger and the variances are smaller. Option C has the largest difference between means (10) with relatively smaller variances compared to option D, making it the choice that would produce the largest t statistic.

Which of the Following Sets of Data Would Produce the Largest