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,

a-what is the probability that the sample mean is 25 grams or more?

b-what is the probability that the sample mean is between 25 grams and 27 grams?

3-The quality assurance department for Pepsi Distributors, Inc. maintains meticulous records on the bottling line for two-liter Pepsi bottles. Records indicate that the process follows the normal probability distribution with a mean amount per bottle of 2.01 liters and a standard deviation of 0.025 liters. The foreman randomly selects 25 bottles from the bottling line and

determines that the mean amount per bottle is 2.005 liters

a.Compute the sampling error

b.Compute the standard error of the sampling distribution of sample means.

c.Compute the probability that the sample of 25 bottles would have a mean of 2.005 liters or more.

d.Suppose the foreman selects a second sample of 16 bottles and determines that the mean is 1.994 liters. Compute the probability that the sample of 16 bottles would have a mean of 1.994 liters or more.