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StatisticsQ&A LibraryAn engineer designed a valve that will regulate water pressure on an automobile engine. The engineer designed the valve such that it would produce a mean pressure of 5.5 pounds/square inch. It is believed that the valve performs above the specifications. The valve was tested on 24 engines and the mean pressure was 5.7 pounds/square inch with a variance of 0.49. A level of significance of 0.01 will be used. Assume the population distribution is approximately normal. Make the decision to reject or fail to reject the null hypothesis.Question

Asked Nov 26, 2019

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Step 1

It is given that sample mean and standard deviation are 8.159 and 0.051, respectively.

The test hypotheses are:

Null hypothesis:

*H*_{0}: *μ* = 5.5.

Alternative hypothesis:

*H*_{1}: *μ* > 5.5.

Step 2

As the population standard deviation is unknown, the sample standard deviation must be used while performing the test. Thus, the suitable test to use ...

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