The Acme Company has developed a new battery. The engineer in charge claims that the new battery willoperate continuously for at least 7 minutes longer than the old battery. To test the claim, the company selects asimple random sample of 100 new batteries and 100 old batteries. The old batteries run continuously for 190minutes with a standard deviation of 20 minutes; the new batteries, 200 minutes with a standard deviation of 40minutes. Test the engineer's claim that the new batteries run at least 7 minutes longer than the old. Use a 0.05level 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?

Let μ1 be the mean for new battery μ2 be the mean for old battery According to Bartleby guidelines…

Answered: The Acme Company has developed a new…

MATLAB: An Introduction with Applications

6th Edition

ISBN:9781119256830

Author:Amos Gilat

Publisher:Amos Gilat

Chapter1: Starting With Matlab

Section: Chapter Questions

Problem 1P

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According to the historical data, the life expectancy in the United States is less than or equal to the life expectancy in Ireland. A new study has been made to see whether this has changed. Records of 235 individuals from the United States who died recently are selected at random. The 235 individuals lived an average of 77.6 years with a standard deviation of 6.7 years. Records of 220 individuals from Ireland who died recently are selected at random and independently. The 220 individuals lived an average of 76.3 years with a standard deviation of 5.5 years. Assume that the population standard deviations of the life expectancies can be estimated by the sample standard deviations, since the samples that are used to compute them are quite large. At the 0.1 level of significance, is there enough evidence to support the claim that the life expectancy, u,, in the United States is greater than the life expectancy, µ, in Ireland? Perform a one-tailed test. Then fill in the table below. Carry…
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