Question

By contract with the Coast Guard, a jet engine manufacturer must provide turboshaft engines with a mean lifetime greater than 2,000 hours before they need to be replaced for overhaul. 21 MH-65D engines were measured with a mean time between overhaul of 2065 hours and a standard deviation of 200 hours. a. Determine the 90% confidence interval estimate for the mean time between overhaul, given the above information. b. Interpret the meaning of this confidence interval, and include if you think the manufacturer is meeting the contractual obligations on the basis of your estimate. c. Set up the appropriate null and alternative hypotheses. d. Calculate the Test Statistic. e. Determine the rejection region for this problem at a significance level of 90%, Î±=0.10, or the p-value for your test statistic. f. State the appropriate conclusion for this problem. Select from the following: Reject H0, Accept H0, Fail to reject H0, Test is inconclusive. g. State your conclusion specifically in terms of this problem. h. Is there a difference between the information obtained in the Confidence Interval Estimate and the Hypothesis Test? If so, how do you reconcile that difference?

          By contract with the Coast Guard, a jet engine manufacturer must provide turboshaft engines with a mean lifetime greater than 2,000 hours before they need to be replaced for overhaul. 21 MH-65D engines were measured with a mean time between overhaul of 2065 hours and a standard deviation of 200 hours.

a. Determine the 90% confidence interval estimate for the mean time between overhaul, given the above information.
b. Interpret the meaning of this confidence interval, and include if you think the manufacturer is meeting the contractual obligations on the basis of your estimate.
c. Set up the appropriate null and alternative hypotheses.
d. Calculate the Test Statistic.
e. Determine the rejection region for this problem at a significance level of 90%, Î±=0.10, or the p-value for your test statistic.
f. State the appropriate conclusion for this problem. Select from the following: Reject H0, Accept H0, Fail to reject H0, Test is inconclusive.
g. State your conclusion specifically in terms of this problem.
h. Is there a difference between the information obtained in the Confidence Interval Estimate and the Hypothesis Test? If so, how do you reconcile that difference?

Added by Salvador A.

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