Here is the population of all five U.S. presidents who had professions in the military, along with their age at inauguration: Eisenhower (62), Grant (46), Harrison (68), Taylor (64), and Washington (57). Assume that all samples are selected without replacement.

a. After listing all of the possible samples of size n 5 2, find the mean and standard deviation of the sample means.

b. After listing all of the possible samples of size n 5 3, find the mea n and standard deviation of the sample means.

c. After listing all of the possible samples of size n 5 4, find the mean and standard deviation of the sample means.

d. When sampling without replacement, do sample means tend to target the value of the population mean?

e. Based on the preceding results, how is the variation of the sampling distribution of sample means affected by increasing sample size?