An engineer has designed a valve that will regulate water pressure on an automobile engine. The valve was tested on 250 engines and the mean pressure was 6.8pounds/square inch (psi). Assume the population variance is 0.810.81. If the valve was designed to produce a mean pressure of 6.7 psi, is there sufficient evidence at the 0.1 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.
An engineer has designed a valve that will regulate water pressure on an automobile engine. The valve was tested on 250 engines and the mean pressure was 6.8pounds/square inch (psi). Assume the population variance is 0.810.81. If the valve was designed to produce a mean pressure of 6.7 psi, is there sufficient evidence at the 0.1 level that the valve performs above the specifications?
State the null and alternative hypotheses.
Find the value of the test statistic. Round your answer to two decimal places.
Specify if the test is one-tailed or two-tailed.
Find the P-value of the test statistic. Round your answer to four decimal places.
Identify the level of significance for the hypothesis test.
Make the decision to reject or fail to reject the null hypothesis.
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