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Required information A tire company claims that the lifetimes of its tires average 4.98E4 miles. The standard deviation of tire lifetimes is known to be 4,750 miles. You sample 75.0 tires and will test the hypothesis that the mean tire lifetime is at least 4.98E4 miles against the alternative that it is less. Assume, in fact, that the true mean lifetime is 4.93E4 miles. If the test is made at the 5% level, what is the power? (Round the final answer to four decimal places.)

Required information A tire company claims that the lifetimes of its tires average 4.98E4 miles. The standard deviation of tire lifetimes is known to be 4,750 miles. You sample 75.0 tires and will test the hypothesis that the mean tire lifetime is at least 4.98E4 miles against the alternative that it is less. Assume, in fact, that the true mean lifetime is 4.93E4 miles. If the test is made at the 5% level, what is the power? (Round the final answer to four decimal places.)

Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018
Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018
18th Edition
ISBN:9780079039897
Author:Carter
Publisher:Carter
Chapter10: Statistics
Section: Chapter Questions
Problem 22SGR
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Required information A tire company claims that the lifetimes of its tires average 4.98E4 miles. The standard deviation of tire lifetimes is known to be 4,750 miles. You sample 75.0 tires and will test the hypothesis that the mean tire lifetime is at least 4.98E4 miles against the alternative that it is less. Assume, in fact, that the true mean lifetime is 4.93E4 miles. If the test is made at the 5% level, what is the power? (Round the final answer to four decimal places.)
Transcribed Image Text:Required information A tire company claims that the lifetimes of its tires average 4.98E4 miles. The standard deviation of tire lifetimes is known to be 4,750 miles. You sample 75.0 tires and will test the hypothesis that the mean tire lifetime is at least 4.98E4 miles against the alternative that it is less. Assume, in fact, that the true mean lifetime is 4.93E4 miles. If the test is made at the 5% level, what is the power? (Round the final answer to four decimal places.)
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