When comparing two population means using data that are gathered from a matched pairs experiment, the test statistic for is Student t distributed with degrees of freedom, provided that the differences are normally distributed.

Question

When comparing two population means using data that are gathered from a matched pairs experiment, the test statistic for  is Student t distributed with  degrees of freedom, provided that the differences are normally distributed.

Quizplus · Accepted Answer

This is true. In a matched pairs experiment, the two sets of data are paired together in some way (e.g. before and after measurements on the same individual) so that each pair is related. This means that the differences between the pairs are the samples that are being compared. If the differences are normally distributed, then the test statistic for comparing the means is Student t distributed with n-1 degrees of freedom, where n is the number of pairs.

When Comparing Two Population Means Using Data That Are Gathered