A manufacturer claims that the mean lifetime of its lithium batteries is 1200 hours. A homeowner selects 25 of these batteries and finds the mean lifetime to be 1180 hours with a standard deviation of 80 hours. Test the manufacturer's claim. Use α = 0.05. Round the test statistic to the nearest thousandth. a) State the null and alternate hypotheses. b) What is α? What type of test will you use? c) Find the test statistic and the P-value. d) Based on parts a,b,&c, will you reject or fail to reject the null hypothesis? Are the data statistically significant at level α ? e) State your conclusion

A First Course in Probability (10th Edition)
10th Edition
ISBN:9780134753119
Author:Sheldon Ross
Publisher:Sheldon Ross
Chapter1: Combinatorial Analysis
Section: Chapter Questions
Problem 1.1P: a. How many different 7-place license plates are possible if the first 2 places are for letters and...
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A manufacturer claims that the mean lifetime of its lithium batteries is 1200 hours. A homeowner selects 25 of these batteries and finds the mean lifetime to be 1180 hours with a standard deviation of 80 hours. Test the manufacturer's claim. Use α = 0.05. Round the test statistic to the nearest thousandth. a) State the null and alternate hypotheses. b) What is α? What type of test will you use? c) Find the test statistic and the P-value. d) Based on parts a,b,&c, will you reject or fail to reject the null hypothesis? Are the data statistically significant at level α ? e) State your conclusion in the context of the application. Show all working please.
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