An engineer has designed a valve that will regulate water pressure on an automobile engine. the valve was tested on 290 engines and the mean pressure was 7.6 pounds/square inch (psi). assume the population standard deviation is 1.0. if the valve was designed to produce a mean pressure of 7.7 psi, is there sufficient evidence at the 0.02 level that the valve does not perform to 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.