7.20 The following data represent the number of days

absent per year in a population of six employees of a small

company:

1 3 6 7 9 10

a. Assuming that you sample without replacement, select

all possible samples of n = 2 and construct the sampling

distribution of the mean. Compute the mean of all thesample means and also compute the population mean. Are they equal? What is this property called? b. Repeat (a) for all possible samples of n = 3. c. Compare the shape of the sampling distribution of the mean in (a) and (b). Which sampling distribution has less variability? Why? d. Assuming that you sample with replacement, repeat (a) through (c) and compare the results. Which sampling distributions have the least variability those in (a) or (b)? Why?