Question

What have you learned about the shape of the sampling distribution of $\overline{x}$when the population has a Normal shape?

Short answer

To detect difference between the population means when such differences exis

Step-by-step solution

Step 1:Given information

The population has a Normal shape

Step 2:Explaination

With the help of a paired sample, we can remove an extraneous source of variation. The sampling error thus made in estimating the differences between the populations mean will generally be smaller and,

therefore, more likely to detect difference between the population means when such differences exist.