An engineer has 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 4.1 pounds/square inch. The valve was tested on 26 engines and the mean pressure was 4.3 pounds/square inch with a variance of 0.25. Is there evidence at the 0.01 level that the valve performs above the specifications? Assume the population distribution is approximately normal. Step 1 of 5: State the null and alternative hypotheses. Step 2 of 5: Find the value of the test statistic. Round your answer to three decimal places. Step 3 of 5: Specify if the test is one-tailed or two-tailed. Step 4 of 5: Determine the decision rule for rejecting the null hypothesis. Round your answer to three decimal places. Step 5 of 5: Make the decision to reject or fail to reject the null hypothesis
An engineer has 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 4.1 pounds/square inch. The valve was tested on 26 engines and the mean pressure was 4.3 pounds/square inch with a variance of 0.25. Is there evidence at the 0.01 level that the valve performs above the specifications? Assume the population distribution is approximately normal.
State the null and alternative hypotheses.
Find the value of the test statistic. Round your answer to three decimal places.
Specify if the test is one-tailed or two-tailed.
Determine the decision rule for rejecting the null hypothesis. Round your answer to three decimal places.
Make the decision to reject or fail to reject the null hypothesis.
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