37. The quality control department employs five technicians during the day shift. Listed below are the numbers of times the technicians instructed the production foreman to shut down the manufacturing process last week:

Technician Shutdowns Taylor 4 Hurley 3 Fowler 5 Rousche 3 Telatko 2

a. How many different samples of two technicians are possible from this population?

b. List all possible samples of two observations each, and compute the mean of each sample.

c. Compare the mean of the sample means with the population mean.

e. Compare the shape of the population distribution with the shape of the distribution of the sample means.