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9-43. The life in hours of a battery is known to be approxi- mately normally distributed, with standard deviation o = 1.25 hours. A random sample of 10 batteries has a mean life of * = 40.5 hours. (a) Is there evidence to support the claim that battery life exceeds 40 hours? Use a = 0.05. (b) What is the P-value for the test in part (a)? (c) What is the B-error for the test in part (a) if the true mean life is 42 hours?

9-43. The life in hours of a battery is known to be approxi- mately normally distributed, with standard deviation o = 1.25 hours. A random sample of 10 batteries has a mean life of * = 40.5 hours. (a) Is there evidence to support the claim that battery life exceeds 40 hours? Use a = 0.05. (b) What is the P-value for the test in part (a)? (c) What is the B-error for the test in part (a) if the true mean life is 42 hours?

Calculus For The Life Sciences
Calculus For The Life Sciences
2nd Edition
ISBN:9780321964038
Author:GREENWELL, Raymond N., RITCHEY, Nathan P., Lial, Margaret L.
Publisher:GREENWELL, Raymond N., RITCHEY, Nathan P., Lial, Margaret L.
Chapter13: Probability And Calculus
Section13.2: Expected Value And Variance Of Continuous Random Variables
Problem 10E
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9-43. The life in hours of a battery is known to be approxi- mately normally distributed, with standard deviation o = 1.25 hours. A random sample of 10 batteries has a mean life of * = 40.5 hours. (a) Is there evidence to support the claim that battery life exceeds 40 hours? Use a = 0.05. (b) What is the P-value for the test in part (a)? (c) What is the B-error for the test in part (a) if the true mean life is 42 hours?
Transcribed Image Text:9-43. The life in hours of a battery is known to be approxi- mately normally distributed, with standard deviation o = 1.25 hours. A random sample of 10 batteries has a mean life of * = 40.5 hours. (a) Is there evidence to support the claim that battery life exceeds 40 hours? Use a = 0.05. (b) What is the P-value for the test in part (a)? (c) What is the B-error for the test in part (a) if the true mean life is 42 hours?
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