PROBLEM An engineer designed a valve that will regulate water pressure on an aut

Question

PROBLEM 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 7.5 tbs/square inch. It is beheved that the valve performs above the specifications. The valve was tested on 6 engines and the mean pressure was 8.0 tbs/square inch with a variance of 0.49. A level of significance of 0 05 will be used. Determine the decision rule Asme the population distribution is approximately normal. DECISION RULE Reject H, ift pois (Round your answer to 3 decimal places,) 3 days 20 hrs 18

Explanation / Answer

Here we are trying to test, whether the mean is greater than 7.5 lbs/square inch, therefore this is a one tailed test, specifically an upper tailed test. Now for 0.05 level of significance, we get for n - 1 = 5 degrees of freedom from the t-distribution tables that:

P( t5 > 2.015 ) = 0.05

Therefore 2.015 is the critical value here.

Therefore the decision rule here would be given as: Reject H0 if t > 2.015

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