An engineer has designed a valve that will regulate water pressure on an automobile engine. The valve was tested on 180180 engines and the mean pressure was 6.26.2 lbs/square inch. Assume the variance is known to be 0.250.25. If the valve was designed to produce a mean pressure of 6.36.3 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.