Question: 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. Represent sampling distributions in the format of a table that lists the different values of the sample statistic along with their corresponding probabilities. 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. (Hint: See Tables 6-4 and 6-5.)

I offer the first 2 items for your table here to get you started…

Sample		Condensed	P()	* P()
46,46	46	46	1/25	46/25
46,57	51.5	51.5	2/25	103/25

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 the five listed values? Are those means always equal?