Question

In: Statistics and Probability

3. A bank with branches located in a commercial area in Jakarta wants to improve the...

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

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