1) A supermarket sells rotisserie chicken at a fixed price per chicken rather than by the weight of the chicken. The store advertises that the average weight of their chickens is 4.6 pounds. A random sample of 30 of the store's chickens yielded the weights (in pounds) shown below.

4.4 4.7 4.6 4.4 4.5 4.3 4.6 4.5 4.6 4.9

4.6 4.8 4.3 4.4 4.7 4.5 4.2 4.3 4.1 4.0

4.5 4.6 4.2 4.4 4.7 4.8 5.0 4.2 4.1 4.5

a. Test whether the population mean weight of the chickens is less than 4.6 pounds. Use = .05.

b. Solve (a) using Minitab

2) Apply the Western Electric rules to the control chart presented in the picture below. Would these rules result in any out-of-control signals?

3) A company manufacturing oil seals wants to establish control charts on the process. There are 25 preliminary samples of size 5 on the internal diameter of the seal. The summary data (in mm) are as follows: 25 =1 = 1253.75 25 =1 = 14.08

a. Find the control limits that should be used on the control charts.

b. Assume that the 25 preliminary samples plot in control on both charts. Estimate the process mean and standard deviation