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A car manufacturer claims that its vehicles average at least 30 miles per gallon., with apopulation variance of 4. We take a sample of 8 cars to test fuel efficiency, and wish to perform ahypothesis test on the car manufacturers claim at a level of α=.975.22.
The critical value for the sample mean X , below which we will reject the null hypothesis of 30 miles per gallon, is
a. 27.5b. 28.6c. 29.1d. 29.5e. 30.023.
Suppose the answer to #22 is 29 (it isn't, but assume it is for the following). Also, suppose the true population mean for fuel efficiency is 27.5 miles per gallon. Then, the Power of thishypothesis test is:
a. .0170b. .0523c. .5423d. .7801e. .9830
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