perate continuously for at least 7 minutes longer than the old battery. To test the claim, the company selects a nple random sample of 100 new batteries and 100 old batteries. The old batteries run continuously for 190 inutes with a standard deviation of 20 minutes; the new batteries, 200 minutes with a standard deviation of 40 inutes. Test the engineer's claim that the new batteries run at least 7 minutes longer than the old. Use a 0.05 vel of significance. (Assume that there are no outliers in either sample.) hat is the null hypothesis? hat is the alternative hypothesis? hat is the test statistic to be used? hat is the appropriate critical region? hat is the actual value of the test statistic? hat is the statistical decision? hat is the statistical conclusion?

MATLAB: An Introduction with Applications
6th Edition
ISBN:9781119256830
Author:Amos Gilat
Publisher:Amos Gilat
Chapter1: Starting With Matlab
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The Acme Company has developed a new battery. The engineer in charge claims that the new battery will
operate continuously for at least 7 minutes longer than the old battery. To test the claim, the company selects a
simple random sample of 100 new batteries and 100 old batteries. The old batteries run continuously for 190
minutes with a standard deviation of 20 minutes; the new batteries, 200 minutes with a standard deviation of 40
minutes. Test the engineer's claim that the new batteries run at least 7 minutes longer than the old. Use a 0.05
level of significance. (Assume that there are no outliers in either sample.)
What is the null hypothesis?
What is the alternative hypothesis?
What is the test statistic to be used?
What is the appropriate critical region?
What is the actual value of the test statistic?
What is the statistical decision?
What is the statistical conclusion?
Transcribed Image Text:The Acme Company has developed a new battery. The engineer in charge claims that the new battery will operate continuously for at least 7 minutes longer than the old battery. To test the claim, the company selects a simple random sample of 100 new batteries and 100 old batteries. The old batteries run continuously for 190 minutes with a standard deviation of 20 minutes; the new batteries, 200 minutes with a standard deviation of 40 minutes. Test the engineer's claim that the new batteries run at least 7 minutes longer than the old. Use a 0.05 level of significance. (Assume that there are no outliers in either sample.) What is the null hypothesis? What is the alternative hypothesis? What is the test statistic to be used? What is the appropriate critical region? What is the actual value of the test statistic? What is the statistical decision? What is the statistical conclusion?
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