In: Statistics and Probability
An engineer has designed a valve that will regulate water pressure on an automobile engine. The valve was tested on 170 engines and the mean pressure was 6.7 pounds/square inch (psi). Assume the population standard deviation is 1.0. If the valve was designed to produce a mean pressure of 6.6 psi, is there sufficient evidence at the 0.05 level 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 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