Suppose x is a variable on each of two populations whose members can be paired and that a paired
difference is the difference between the values of the variable x on the members of a pair. The mean of the paired differences equals the difference between the two population means.

Question

Quizplus · Accepted Answer

The mean of the paired differences is the difference between the means of the two populations. This is because the paired differences are the differences between the values of the variable x on the members of a pair, and the mean of the paired differences is the average of these differences. The difference between the means of the two populations is the difference between the average values of the variable x on the members of the two populations. Therefore, the mean of the paired differences equals the difference between the two population means.

Suppose X Is a Variable on Each of Two Populations