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

Question

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

Quizplus · Accepted Answer

The largest value of the independent-measures t statistic would come from the data with the largest difference between the sample means and the smallest variability within each group. Option C has the largest difference between sample means (10 and 20), and the smallest variability within each group (variances of 20 and 25).

​Which of the Following Sets of Data Would Produce the Largest

Which of the Following Sets of Data Would Produce the Largest