Question

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 4.3 pounds/square inch. It is believed that the valve performs above the specifications. The valve was tested on 26 engines and the mean pressure was 4.6 pounds/square inch with a standard deviation of 0.6A level of significance of 0.1 will be used. Assume the population distribution is approximately normal. Make the decision to reject or fail to reject the null hypothesis.

Answer 1

Solution :

The null and alternative hypothesis is ,

H0 :   = 4.3

Ha : > 4.3

Test statistic (t) =

= ( - ) / s / n

= (4.6 - 4.3) / 0.6 / 26

Test statistic = 2.55

P-value = 0.0087

= 0.1

P-value <

Reject the null hypothesis .