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StatisticsQ&A LibraryAn engineer has designed a valve that will regulate water pressure on an automobile engine. The valve was tested on 160 engines and the mean pressure was 7.7 pounds/square inch (psi). Assume the population variance is 0.36. If the valve was designed to produce a mean pressure of 7.8 psi, is there sufficient evidence at the 0.01 level that the valve performs below the specifications? Step 1 of 3:State the null and alternative hypotheses.Question

Asked Dec 8, 2019

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Step 1 of 3:

State the null and alternative hypotheses.

Step 1

Null hypothesis:

*µ=*7.8*.*

Alternative hypothesis:

*µ<*7.8*.*

Here, the sample mean, *x*-bar is 7.7.

Population mean, *µ* is 7.8.

Population variance, *σ ^{2} *= 0.36.

Population standard deviation, *σ *= 0.6.

Sample size, *n* is 160.

The test statistic value can be obtained as follows:

Step 2

*Computation of P-value:*

The *P*-value for the z-test for the left tailed *z*-value –2.108 is **0.00383** which can be can be obtained u...

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