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An engineer has designed a valve that will regulate water pressure on an automobile engine. The valve was tested on 260260 engines and the mean pressure was 44 lbs/square inch. Assume the variance is known to be 0.640.64. If the valve was designed to produce a mean pressure of 4.14.1 lbs/square inch, is there sufficient evidence at the 0.020.02 level that the valve does not perform to the specifications? State the null and alternative hypotheses for the above scenario.
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