1- The real estate company of Kuhlman and Associates has five sales people. Listed below is the number of homes sold last month by each of the five associates. Bruce Kuhlman, the owner, wants to estimate the

population mean number of homes sold based on samples of three.

AssociateNumber of Homes Sold

A. Sue Klaus6

B. John Bardo2

C. Jean Cannon5

D. A.J.Kemper9

E. Carol Ford3

a. If samples of size 3 are selected, how many different samples are possible?

b. List the various samples and compute the mean of each.

c. Develop a sampling distribution of the means.

d. Draw graphs to compare the variability of the sampling distribution of the mean with that of the population.

2-Burger Shack claims that the mean number of grams of fat, , in its Lotta Burger is 24 grams with a standard deviation, , of 5 grams.

If a sample of 50 Lotta Burgers is taken,

1. what is the probability that the sample mean is 25 grams or more?
2. what is the probability that the sample mean is between 25 grams and 27 grams?