In: Statistics and Probability
An engineer designed a valve that will regulate water pressure on an automobile engine. The engineer designed the valve such that it would produce a mean pressure of 4.7 pounds/square inch. It is believed that the valve performs above the specifications. The valve was tested on 160 engines and the mean pressure was 4.8 pounds/square inch. Assume the standard deviation is known to be 0.8. A level of significance of 0.1 will be used. Determine the decision rule. Enter the decision rule.
Reject Ho if z =
At alpha = 0.10 l.o.s ( right tailed )
Z critical value = 1.282
decision rule.
Reject Ho if z > 1.28
(5) Conclusion
It is concluded that the null hypothesis Ho is rejected. Therefore, there is enough evidence to claim that the valve performs above the specifications