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 σ = 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. Verify your results using PHStat.