An engineer has designed a valve that will regulate water pressure on an automobile engine. The valve was tested on 290

290 engines and the mean pressure was 5.8

5.8 lbs/square inch. Assume the variance is known to be 0.36

0.36. If the valve was designed to produce a mean pressure of 5.9

5.9 lbs/square inch, is there sufficient evidence at the 0.01

0.01 level that the valve does not perform to the specifications?

State the null and alternative hypotheses for the above scenario.