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

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 6.5 lbs/square inch. Assume the standard deviation is known to be 1. If the valve was designed to produce a mean pressure of 6.6 lbs/square inch, is there sufficient evidence at the 0.05 level that the valve performs below the specifications? State the null and alternative hypotheses for the above scenario.

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Null hypothesis:

Alternative hypothsis :  

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