(b) Test the significance of the relationship in part (a) at a 0.05 level of significance. (Use the F test.) State the null and alternative hypotheses, O Ho: Bo=0 H: Bo 0 %3D O Ho: fo*0 H Po = 0 O Ho: B1=0 %3D O Ho: B1+0 H: B1 = 0 Find the value of the test statistic. (Round your answer to two decimal places.) Find the p-value. (Round your answer to three decimal places.) P-value %3D State your conclusion. O Reject H. We cannot conclude that the relationship between weekly usage (hours) and annual maintenance expense (in hundreds of dollars) is significant. O Reject H. We conclude that the relationship between weekly usage (hours) and annual maintenance expense (in hundreds of dollars) is significant. O Do not reject H. We conclude that the relationship between weekly usage (hours) and annual maintenance expense (in hundreds of dollars) is significant. O Do not reject H. We cannot conclude that the relationship between weekly usage (hours) and annual maintenance expense (in hundreds of dollars) is significant. (c) Jensen expects to use the new machine 33 hours per week. Develop a 95% prediction interval for the company's annual maintenance expense (in hundreds of dollars). (Round your answers to two decimal places.) hundred to $ hundred (d) If the maintenance contract costs $3,500 per year, would you recommend purchasing it? Why or why not? (Round your answer to two decimal places.) The expected expense of a machine being used 33 hours per week is $ hundred. Since this expected expense is --Select-Vthan the cost of the maintenance contract, the maintenance contract Select- advisable.

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Author:Amos Gilat
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(b) Test the significance of the relationship in part (a) at a 0.05 level of significance. (Use the F test.)
State the null and alternative hypotheses.
O Ho: Po =0
H fo*0
O Ho: B1 0
O Ho: Bo 0
H: fo = 0
%3D
O Ho: B1= 0
O Ho: B1 0
H B1= 0
Find the value of the test statistic. (Round your answer to two decimal places.)
Find the p-value. (Round your answer to three decimal places.)
p-value
%3D
State your conclusion.
O Reject Hn: We cannot conclude that the relationship between weekly usage (hours) and annual maintenance expense (in hundreds of dollars) is significant.
O Reject Ho: We conclude that the relationship between weekly usage (hours) and annual maintenance expense (in hundreds òf dollars) is significant.
O Do not reject H We conclude that the relationship between weekly usage (hours) and annual maintenance expense (in hundreds of dollars) is significant.
O Do not reject H. We cannot conclude that the relationship between weekly usage (hours) and annual maintenance expense (in hundreds of dollars) is significant.
(c) Jensen expects to use the new machine 33 hours per week. Develop a 95% prediction interval for the company's annual maintenance expense (in hundreds of dollars). (Round your answers to two decimal places.)
hundred to S
hundred
(d) If the maintenance contract costs $3,500 per year, would you recommend purchasing it? Why or why not? (Round your answer to two decimal places.
The expected expense of a machine being used 33 hours per week is $
hundred. Since this expected expense is
Select-V than the cost of the maintenance contract, the maintenance contract -Selectn
advisable.
Transcribed Image Text:(b) Test the significance of the relationship in part (a) at a 0.05 level of significance. (Use the F test.) State the null and alternative hypotheses. O Ho: Po =0 H fo*0 O Ho: B1 0 O Ho: Bo 0 H: fo = 0 %3D O Ho: B1= 0 O Ho: B1 0 H B1= 0 Find the value of the test statistic. (Round your answer to two decimal places.) Find the p-value. (Round your answer to three decimal places.) p-value %3D State your conclusion. O Reject Hn: We cannot conclude that the relationship between weekly usage (hours) and annual maintenance expense (in hundreds of dollars) is significant. O Reject Ho: We conclude that the relationship between weekly usage (hours) and annual maintenance expense (in hundreds òf dollars) is significant. O Do not reject H We conclude that the relationship between weekly usage (hours) and annual maintenance expense (in hundreds of dollars) is significant. O Do not reject H. We cannot conclude that the relationship between weekly usage (hours) and annual maintenance expense (in hundreds of dollars) is significant. (c) Jensen expects to use the new machine 33 hours per week. Develop a 95% prediction interval for the company's annual maintenance expense (in hundreds of dollars). (Round your answers to two decimal places.) hundred to S hundred (d) If the maintenance contract costs $3,500 per year, would you recommend purchasing it? Why or why not? (Round your answer to two decimal places. The expected expense of a machine being used 33 hours per week is $ hundred. Since this expected expense is Select-V than the cost of the maintenance contract, the maintenance contract -Selectn advisable.
DATAfile: Jensen
A statistical program is recommended.
Jensen Tire & Auto is in the process of deciding whether to purchase a maintenance contract for its new computer wheel alignment and balancing machine. Managers feel that maintenance expense should
related to usage, and they collected the following information on weekly usage (hours) and annual maintenance expense (in hundreds of dollars).
Weekly Usage
(hours)
Annual
Maintenance
Expense
13
17.0
10
22.0
20
30.0
28
37.0
32
47.0
17
30.5
24
32.5
31
39.0
40
51.5
38
40.0
(a) Develop the estimated regression equation that could be used to predict the annual maintenance expense (in hundreds of dollars) given the weekly usage (in hours). (Round your numerical values to two
decimal places.)
Transcribed Image Text:DATAfile: Jensen A statistical program is recommended. Jensen Tire & Auto is in the process of deciding whether to purchase a maintenance contract for its new computer wheel alignment and balancing machine. Managers feel that maintenance expense should related to usage, and they collected the following information on weekly usage (hours) and annual maintenance expense (in hundreds of dollars). Weekly Usage (hours) Annual Maintenance Expense 13 17.0 10 22.0 20 30.0 28 37.0 32 47.0 17 30.5 24 32.5 31 39.0 40 51.5 38 40.0 (a) Develop the estimated regression equation that could be used to predict the annual maintenance expense (in hundreds of dollars) given the weekly usage (in hours). (Round your numerical values to two decimal places.)
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