Sampling Distribution. Here is the population of all five U.S. presidents who had professions in the military, along with their ages at inauguration: Eisenhower, 62; Grant, 46;

Harrison, 68; Taylor, 64; and Washington, 57.

Assume that samples of size 2 are randomly selected (with replacement)

from the population of five ages.

a. List the 25 different possible samples and find the mean of each sample.

b. What is the mean of the sample means from part a?

c. Is the mean of the sampling distribution (from part b)

equal to the mean of the population of the five listed values? Are those means always equal?