The assets (in billions of dollars) of the four wealthiest people in a particular country are

47, 35, 24, 15. Assume that samples of size 2 are randomly selected with replacement from this population of four values.

a. After listing the possible samples and finding the mean of each sample, use a table to describe the sampling distribution of the sample means.

x Probability x Probability

47 _____ 29.5 _____

41 _____ 25 _____

35.5 _____ 24 _____

35 _____ 19.5 _____

31 _____ 15 _____

(Type integers or fractions.)

b. Find the mean of the sampling distribution.

The mean of the sample means is _____ (round to two decimal places as needed.)

c. Is the mean of the sampling distribution (from part b) equal to the mean of the population of the four listed values? If so, are those means always equal?