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-1 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 collected from a sample of 15 customers during this hour are stored in Bank1. Suppose that another branch, located in a residential area, is also concerned with the noon-to 1 p.m. lunch period. A random sample of 15 customers is selected and the waiting times are collected and stored in Bank2.
a. Is there evidence of a difference in the variability of the waiting time between the two branches? (Use alpha = 0.05).
b. Determine the p-value in (a) and interpret its meaning.
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c. What assumption about the population distribution of each bank is necessary in (a)? Is the assumption valid for these data?
d. Based on the results of (a), is it appropriate to use the pooled-variance t test to compare the means in the two branches?
Waiting Time Bank 1
Waiting Time Bank 2
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