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. After identifying the 25 different possible samples, find the mean of each of them.

b. Describe the sampling distribution of means. (Hint: See Table 5-2)

c. Find the mean of the sampling distribution.

d. Is the mean of the sampling distribution (from part c) equal to the man of the population of the five heights listed above? Are those means always equal?