Question: An engineer has designed a valve that will regulate water pressure on an automobile engine. The engineer designed the valve such that it would produce

An engineer has designed a valve that will regulate water pressure on an automobile engine. The engineer designed the valve such that it would produce a mean pressure of 7.77.7 pounds/square inch. The valve was tested on 2424 engines and the mean pressure was 7.47.4 pounds/square inch with a standard deviation of 0.70.7. Is there evidence at the 0.0250.025 level that the valve performs below the specifications? Assume the population distribution is approximately normal.

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Find the value of the test statistic. Round your answer to three decimal places.

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