An 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 5.9 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 6.2 pounds/square inch with a standard deviation of 0.7. A level of significance of 0.01 will be used. Assume the population distribution is approximately normal. Determine the decision rule for rejecting the null hypothesis. Round your answer to three decimal places. 画 Tables 画 Keyp: Answer How to enter your answer Keyboard Short
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An 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 5.9 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 6.2 pounds/square inch with a standard deviation of 0.7 . A level of significance of 0.01 will be used. Assume the population distribution is approximately normal.
The provided sample mean is and the sample standard deviation is , and the sample size is .
Null and Alternative Hypotheses
The following null and alternative hypotheses need to be tested:
Ho: =
Ha: >
This corresponds to a right-tailed test, for which a t-test for one mean, with unknown population standard deviation will be used.
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