A bank with a branch located in a commercial district of acity has the business objective of improving the process for servingcustomers during the noon-to-1 p.m. lunch period. To do so,the waiting time (defined as the number of minutes that elapsesfrom wh

A bank with a branch located in a commercial district of acity has the business objective of improving the process for servingcustomers during the noon-to-1 p.m. lunch period. To do so,the waiting time (defined as the number of minutes that elapsesfrom when the customer enters the line until he or she reaches theteller window) needs to be shortened to increase customer satisfaction.A random sample of 15 customers is selected and thewaiting times are collected and stored in Bank1 . These data are:4.21 5.55 3.02 5.13 4.77 2.34 3.54 3.204.50 6.10 0.38 5.12 6.46 6.19 3.79Suppose that another branch, located in a residential area, is alsoconcerned with the noon-to-1 p.m. lunch period. A random sampleof 15 customers is selected and the waiting times are collected andstored in Bank2 . These data are:9.66 5.90 8.02 5.79 8.73 3.82 8.01 8.3510.49 6.68 5.64 4.08 6.17 9.91 5.47a. Is there evidence of a difference in the variability of the waitingtime between the two branches? (Use a = 0.05.)b. Determine the p-value in (a) and interpret its meaning.c. What assumption about the population distribution of eachbank is necessary in (a)? Is the assumption valid for these data?d. Based on the results of (a), is it appropriate to use the pooledvariancet test to compare the means of the two branches?