A customer service department asks its customers to rate their over-the-phone service on a scale of 1-20 immediately after their service has been completed. The department then matches each customer's rating with the number of minutes the person waited on hold. The accompanying table shows the ratings and number of minutes on hold for 10 randomly selected customers. Minutes Rating 4 16 8 12 1 17 6 10 7 13 1 17 10 15 3 19 7 15 3 13 R2=0.274 α=0.05 The F-test statistic is 3.02. The p-value is 0.121 Because the p-value is greater than α, do not reject the null hypothesis. There is not enough evidence to conclude that the coefficient of determination is significant. c. Construct a 95% confidence interval for the average rating given by a customer who waits 8 minutes. UCL = 15.88 (Round to two decimal places as needed.) LCL = 10.74 (Round to two decimal places as needed.) d. Construct a 95% prediction interval for the rating given by a customer who waits 8 minutes. UPL = (Round to two decimal places as needed.) LPL = (Round to two decimal places as needed.)
A customer service department asks its customers to rate their over-the-phone service on a scale of 1-20 immediately after their service has been completed. The department then matches each customer's rating with the number of minutes the person waited on hold. The accompanying table shows the ratings and number of minutes on hold for 10 randomly selected customers. Minutes Rating 4 16 8 12 1 17 6 10 7 13 1 17 10 15 3 19 7 15 3 13 R2=0.274 α=0.05 The F-test statistic is 3.02. The p-value is 0.121 Because the p-value is greater than α, do not reject the null hypothesis. There is not enough evidence to conclude that the coefficient of determination is significant. c. Construct a 95% confidence interval for the average rating given by a customer who waits 8 minutes. UCL = 15.88 (Round to two decimal places as needed.) LCL = 10.74 (Round to two decimal places as needed.) d. Construct a 95% prediction interval for the rating given by a customer who waits 8 minutes. UPL = (Round to two decimal places as needed.) LPL = (Round to two decimal places as needed.)
Calculus For The Life Sciences
2nd Edition
ISBN:9780321964038
Author:GREENWELL, Raymond N., RITCHEY, Nathan P., Lial, Margaret L.
Publisher:GREENWELL, Raymond N., RITCHEY, Nathan P., Lial, Margaret L.
Chapter7: Integration
Section7.CR: Chapter 7 Review
Problem 88CR
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Question
A customer service department asks its customers to rate their over-the-phone service on a scale of 1-20 immediately after their service has been completed. The department then matches each customer's rating with the number of minutes the person waited on hold. The accompanying table shows the ratings and number of minutes on hold for 10 randomly selected customers.
Minutes
|
Rating
|
|
---|---|---|
4
|
16
|
|
8
|
12
|
|
1
|
17
|
|
6
|
10
|
|
7
|
13
|
|
1
|
17
|
|
10
|
15
|
|
3
|
19
|
|
7
|
15
|
|
3
|
13
|
R2=0.274
α=0.05
The F-test statistic is 3.02.
The p-value is 0.121
Because the p-value is greater than α, do not reject the null hypothesis. There is not enough evidence to conclude that the coefficient of determination is significant.
c. Construct a 95% confidence interval for the average rating given by a customer who waits 8 minutes.
UCL
|
=
|
15.88
(Round to two decimal places as needed.) |
LCL
|
=
|
10.74
(Round to two decimal places as needed.) |
d. Construct a 95% prediction interval for the rating given by a customer who waits 8 minutes.
UPL
|
=
|
|
LPL
|
=
|
|
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