Bob's Sporting Goods believes the average age of its customers is 40 or less. A random sample of 60 customers was surveyed, and the average customer age was found to be 42.7 years. Assume the standard deviation for customer age is 8.0 years. Using a = 0.02, answer the following questions:

a) Does this sample provide enough evidence to refute the age claim made by Bob's Sporting Goods?

b) Determine the p-value for this test.

c) Identify and interpret the critical sample mean or means for this problem.

d) Verify your results using PHStat2.