A bank with a 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. Management decides to first study the waiting time in the current process. The waiting time is defined as the time that elapses from when the customer enters the line until he or she reaches the teller window. Data are collected from a random sample of 35 customers. Suppose that another branch, located in a residential area, is also concerned with improving the process of serving customers in the noon-to-1 p.m. lunch period. Data are collected from a random sample of 40 customers. The obtained data from the two branches are stored. At the 5% significance level, is there evidence of a difference in the mean waiting time between the two branches? What is/are implications of the result?

A First Course in Probability (10th Edition)
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A bank with a 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. Management decides to first study the waiting time in the current process. The waiting time is defined as the time that elapses from when the customer enters the line until he or she reaches the teller window. Data are collected from a random sample of 35 customers.

Suppose that another branch, located in a residential area, is also concerned with improving the process of serving customers in the noon-to-1 p.m. lunch period. Data are collected from a random sample of 40 customers. The obtained data from the two branches are stored.

At the 5% significance level, is there evidence of a difference in the mean waiting time between the two branches? What is/are implications of the result?

branch1 branch2
3.25
8.21
7.26
7.55
1.29
9.25
2.15
8.15
3.85
9.77
4.25
12.25
5.05
8.54
2.15
8.2
3.95
6.2
4.15
7.1
3.2
8.38
3.5
10.12
1.5
9.46
5.85
9.19
7.2
8.79
1.45
12.45
2.65
8.25
3.55
5.15
5.2
7.21
3.22
6.35
5.76
8.33
3.96
7.2
4.25
9.15
5.33
8.21
1.33
8.05
2.45
5.95
4.15
8.13
2.85
10.15
4.5
8.12
6.55
8.55
3.4
9.44
4.33
6.75
2.66
8.1
1.75
9.15
3.66
7.25
4.55
1.5
4.5
5.3
6.75
Transcribed Image Text:branch1 branch2 3.25 8.21 7.26 7.55 1.29 9.25 2.15 8.15 3.85 9.77 4.25 12.25 5.05 8.54 2.15 8.2 3.95 6.2 4.15 7.1 3.2 8.38 3.5 10.12 1.5 9.46 5.85 9.19 7.2 8.79 1.45 12.45 2.65 8.25 3.55 5.15 5.2 7.21 3.22 6.35 5.76 8.33 3.96 7.2 4.25 9.15 5.33 8.21 1.33 8.05 2.45 5.95 4.15 8.13 2.85 10.15 4.5 8.12 6.55 8.55 3.4 9.44 4.33 6.75 2.66 8.1 1.75 9.15 3.66 7.25 4.55 1.5 4.5 5.3 6.75
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