An engineer has designed a valve that will regulate water pressure on an automobile engine. The valve was tested on 200
engines and the mean pressure was 5.8
pounds/square inch (psi). Assume the population standard deviation is 1.0
. If the valve was designed to produce a mean pressure of 6.0
psi, is there sufficient evidence at the 0.02
level that the valve does not perform to the specifications?

Step 1 of 6 : State the null and alternative hypotheses.