In: Statistics and Probability
3. A bank with branches located in a commercial area in Jakarta
wants to improve the process for serving customers during the lunch
time period.
Waiting time data was collected from a random sample of 15
customers in Bank branch 1, as follows:
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
Data was also collected from a random sample of 15 customers in Bank branch 2, as follows:
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. Assuming that the population variations of the two bank
branches are the same, test the hypothesis that there is a
difference in the average waiting time between the two branches?
(Use α = 0.05.)
b. Create and interpret an estimated 95% confidence interval from
the difference in average waiting time between the two branches