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 5.9 pounds/square inch. It is believed that the valve performs above the specifications. The valve was tested on 270 engines and the mean pressure was 6.0 pounds/square inch. Assume the variance is known to be 0.49. A level of significance of 0.02 will be used. Determine the decision rule. Enter the decision rule.

Answer #1

From the given information,

Using calculator,

Test statistic=3.3534

Critical value=2.326

Decision Rule:-

Reject null hypothesis if test statistic is greater than critical value.

Hence,

As test statistic is greater than critical value, hence we have to Reject the null hypothesis at 2% level of significance.

Decision:-

Reject the null hypothesis.

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