In an experiment to measure the lifetimes of parts manufactured from a certain aluminum

Chapter 6, Problem 1

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In an experiment to measure the lifetimes of parts manufactured from a certain aluminum alloy, 73 parts were loaded cyclically until failure. The mean number of kilocycles to failure was 783, and the standard deviation was 120. Let \(\mu\) represent the mean number of kilocycles to failure for parts of this type. A test is made of \(H_{0}: \mu \leq 750 \text { versus } H_{1}: \mu>750\)

a. Find the P-value.

b. Either the mean number of kilocycles to failure is greater than 750, or the sample is in the most extreme ________% of its distribution.

Equation Transcription:

   

Text Transcription:

\mu

H_{0}: \mu \leq 750 \text { versus } H_{1}: \mu>750

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