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In: Statistics and Probability

The values listed below are waiting times​ (in minutes) of customers at two different banks. At...

The values listed below are waiting times​ (in minutes) of customers at two different banks. At Bank​ A, customers enter a single waiting line that feeds three teller windows. At Bank​ B, customers may enter any one of three different lines that have formed at three teller windows. Answer the following questions.

Bank A

6.5

6.6

6.7

6.8

7.1

7.2

7.5

7.9

7.9

7.9

Bank B

4.2

5.4

5.8

6.2

6.8

7.7

7.7

8.5

9.3

10.00

a) Using Chi-Square critical values construct a 90​% confidence interval for the population standard deviation σ at Bank A.

b) Construct a 99​% confidence interval for the population standard deviation σ at Bank A.

c) Construct a 99​% confidence interval for the population standard deviation σ at Bank B.

Interpret the results found in the previous parts. Do the confidence intervals suggest a difference in the variation among waiting​ times? Does the​ single-line system or the​ multiple-line system seem to be a better​ arrangement?

A.

The variation appears to be significantly lower with a single line system. The​ single-line system appears to be better.

B.

The variation appears to be significantly lower with a single line system. The​ multiple-line system appears to be better.

C.

The variation appears to be significantly lower with a​ multiple-line system. The​ single-line system appears to be better.

D.

The variation appears to be significantly lower with a​ multiple-line system. The​ multiple-line system appears to be better.

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