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An engineer designed a valve that will regulate water pressure on an automobile engine. The engineer...

An engineer 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 4.1 pounds/square inch. It is believed that the valve performs above the specifications. The valve was tested on 15 engines and the mean pressure was 4.4 pounds/square inch with a standard deviation of 0.7. A level of significance of 0.01 will be used. Assume the population distribution is approximately normal. Is there sufficient evidence to support the claim that the valve performs above the specifications?

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