In: Statistics and Probability
An engineer has designed a valve that will regulate water pressure on an automobile engine. The valve was tested on 130 engines and the mean pressure was 7.6 lbs/square inch. Assume the standard deviation is known to be 1. If the valve was designed to produce a mean pressure of 7.7 lbs/square inch, is there sufficient evidence at the 0.05 level that the valve does not perform to the specifications? State the null and alternative hypotheses for the above scenario.