Zingo's Grocery store claims that customers spend an average of five minutes waiting for service at the store's deli counter. A random sample of 45 customers was timed at the deli counter, and the average service time was found to be 5.5 minutes. Assume the standard deviation is 1.7 minutes per customer. Using a = 0.02, answer the following questions:
a) Does this sample provide enough evidence to counter the claim made by Zingo's management?
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.