Dataset Available: Download Jensen.xlsx 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 be 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 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.) = = (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. Ho: B 0 Ha B < 0 Ho: P = 0 Ha B = 0 Ho B1 = 0 Ha B = 0 Ho: Po 1 = 0 Ha: Po # 0 o Hoi Boto Ha Bo = 0 Ha B < 0 Ho: B = 0 Ha B1 = 0 Ho B = 0 Ha B = 0 Hoi Bo = 0 Ha: Po 0 Ho: Po #0 Ha Po = 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 = State your conclusion. Reject Ho. We conclude that the relationship between weekly usage (hours) and annual maintenance expense (in hundreds of dollars) is significant. Reject Ho. We cannot conclude that the relationship between weekly usage (hours) and annual maintenance expense (in hundreds of dollars) is significant. Do not reject Ho. We cannot conclude that the relationship between weekly usage (hours) and annual maintenance expense (in hundreds of dollars) is significant. Do not reject Ho. We 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 30 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 $3,000 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 30 hours per week is $ hundred. Since this expected expense is ---Select--- than the cost of the maintenance contract, the maintenance contract ---Select--- advisable.