# CU-Boulder MCEN 3037 - 18 (11 pages)

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- Pages:
- 11
- School:
- University of Colorado at Boulder
- Course:
- Mcen 3037 - Data Analysis

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Steps for computing the power 1 Select a specific value for the alternate hypothesis 2 Compute the rejection region 3 Compute the probability that the test statistic falls within the rejection region if the alternate hypothesis is true A tire company claims that the lifetimes of its tires average 50 000 miles The standard deviation of tire lifetimes is known to be 5000 miles You sample 100 tires and will test the hypothesis that the mean tire lifetime is at least 50 000 miles against the alternative that it is less Assume in fact that the true mean lifetime is 49 500 miles A tire company claims that the lifetimes of its tires average 50 000 miles The standard deviation of tire lifetimes is known to be 5000 miles You sample 100 tires and will test the hypothesis that the mean tire lifetime is at least 50 000 miles against the alternative that it is less Assume in fact that the true mean lifetime is 49 500 miles a State the null and alternate hypothesis Which is true b It is decided to reject Ho if the sample mean is less than 49 400 Find the level and power of this test c If the test is made at the 5 level what is the power A tire company claims that the lifetimes of its tires average 50 000 miles The standard deviation of tire lifetimes is known to be 5000 miles You sample 100 tires and will test the hypothesis that the mean tire lifetime is at least 50 000 miles against the alternative that it is less Assume in fact that the true mean lifetime is 49 500 miles a State the null and alternate hypothesis Which is true H 0 50000 miles H1 50000 miles H1 A tire company claims that the lifetimes of its tires average 50 000 miles The standard deviation of tire lifetimes is known to be 5000 miles You sample 100 tires and will test the hypothesis that the mean tire lifetime is at least 50 000 miles against the alternative that it is less Assume in fact that the true mean lifetime is 49 500 miles b It is decided to reject Ho if the sample mean is less than 49 400 Find the

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