An engineer has designed a valve that will regulate water pressure on an automobile engine. The valve was tested on140engines and the mean pressure was6.7pounds/square inch (psi). Assume the population variance is0.64. If the valve was designed to produce a mean pressure of6.5psi, is there sufficient evidence at the0.02level that the valve performs above 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 theP-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.