When comparing two population means using data that are gathered from a matched pairs experiment,the test statistic for μ_D is Student t-distributed with v = n_D − 1 degrees of freedom,provided that the differences are normally distributed.

Question

Quizplus · Accepted Answer

This statement is true. The matched pairs t-test is used to compare the means of two populations where the data is dependent (i.e. matched pairs or before/after measurements). The test statistic used for this test is the t-statistic, which follows a Student t-distribution with v = n-1 degrees of freedom, where n is the sample size. In this case, the sample size is equal to the number of matched pairs, so the degrees of freedom are equal to the number of pairs minus 1. The assumption of normality is necessary for the validity of the t-test.

When Comparing Two Population Means Using Data That Are Gathered