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

An engineer has designed a valve that will regulate water pressure on an automobile engine. The valve was tested on 290 engines and the mean pressure was 6.1 pounds/square inch (psi). Assume the population variance is 0.36. 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 performs above the specifications?

Identify the level of significance for the hypothesis test.

Homework Answers

Answer #1

Solution :

= 6.0

= 6.1

= 0.36 = 0.60

n = 290

This is the right tailed test .

The null and alternative hypothesis is

H0 :   = 6.0

Ha : > 6.0

Test statistic = z

= ( - ) / / n

= (6.1- 6.0) / 0.60 / 290

= 2.838

p(Z >2.838 ) = 1-P (Z < 2.838) = 0.0023

P-value = 0.0023

= 0.02

0.0023 < 0.02

Reject the null hypothesis .

There is sufficient evidence to suggest that   

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