Question

A bank with a branch located in a commercial district of a city has developed an improved process for serving customers during the noon to 1 P.M. lunch period. The waiting time (operationally defined as the time elapsed from when the customer enters the line until he or she reaches the teller window) of all customers during this hour is recorded over a period of one week. A random sample of 15 customers is selected, and the results (in minutes) are as follows:

4, 5, 3, 5.2, 3.6, 4.8, 5, 3.7, 6, 3.2, 4.5, 4.7, 5.14, 6.14, 3.86

Suppose that another branch located in a residential area is also concerned with the noon to 1 P.M. lunch period. Another set of random sample of 15 customers is also selected, and the results (in minutes) are as follows:

4.7, 5.5, 3.8, 4.2, 3.6, 4.8, 5, 3.7, 6.3, 3.4, 4.6, 4.3, 6.14, 5.16, 3.96

We can assume that the population variances are equal and use significance level of 0.05 to conduct a test to see if the mean waiting time in the banks located in commercial districts is significantly different from the mean waiting time in the banks located in residential areas. (14 points, without test procedure and excel output you will get zero point).

Answer 1