An engineer has designed a valve that will regulate waterpressure on an automobile engine. The valve was tested on 120engines and the mean pressure was 7.1 lbs/square inch. Assume thevariance is known to be 0.81. If the valve was designed to producea mean pressure of 7.3lbs/square inch, is there sufficient evidenceat the 0.1 level that the valve performs below thespecifications?
State the null and alternative hypotheses for the abovescenario.