A bank branch located in a commercial district of a city has the business objective of improving the process for serving customers during the noon-to-1:00 P. M. lunch period. The waiting time is defined as the time the customer enters the line until he or she reaches the teller window. The bank wants to determine if the mean waiting time is less than 5 minutes. A random sample of 15 customers is selected. Results found that the sample mean waiting time was 4.287 minutes with a sample standard deviation of 1.638 minutes. Show work if necessary.