4) Military Presidents: 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) After listing the 25 different possible samples and finding the mean of each sample, use a table to describe the sampling distribution of the sample means.

b) Find the mean of the sampling distribution.

c) Is the mean of the sampling distribution [from part (b) equal to the mean of the population of five listed values? Are these means always equal?