A bank branch located in a commercial district of a city has the business objective of developing an improved process for serving customers during the noon-to-l:00 P.M. lunch period. The waiting time, in minutes, is defined as the time the customer enters the line to when he or she reaches the teller window. Data are collected from a sample of 15 customers during this hour. The file Bank1 contains the results, which are listed below:
4.21 5.55 3.02 5.13 4.77 2.34 3.54 3.20
4.50 6.10 0.38 5.12 6.46 6.19 3.79
Another bank branch, located in a residential area, is also concerned with the noon-to-l:00 P.M. lunch hour. The waiting times, in minutes, collected from a sample of 15 customers during this hour, are contained in the file Bank2 and listed here:
9.66 5.90 8.02 5.79 8.73 3.82 8.01 8.35
10.49 6.68 5.64 4.08 6.17 9.91 5.47
a. List the five-number summaries of the waiting times at the two bank branches.
b. Construct boxplots and describe the shapes of the distributions for the two bank branches.
c. What similarities and differences are there in the distributions of the waiting times at the two bank branches?