An engineer has designed a valve that will regulate water pressure on an automobile engine. The valve was tested on 160engines and the mean pressure was 6.3 pounds/square inch (psi). Assume the population variance is 0.81. If the valve was designed to produce a mean pressure of 6.5 psi, is there sufficient evidence at the 0.02 level that the valve performs below the specifications?
Step 1 of 6: State the null and alternative hypotheses.
Step 2 of 6: Find the value of the test statistic. Round your answer to two decimal places.
Step 3 of 6: Specify if the test is one-tailed or two-tailed.
Step 4 of 6: Find the P-value of the test statistic. Round your answer to four decimal places.
Step 5 of 6: Identify the level of significance for the hypothesis test.
Step 6 of 6: Make the decision to reject or fail to reject the null hypothesis.
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