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 5.2 pounds/square inch. It is believed that the valve performs above the specifications. The valve was tested on 160 engines and the mean pressure was 5.4 pounds/square inch. Assume the variance is known to be 1.00. A level of significance of 0.01 will be used. Determine the decision rule.

Answer 1

The test hypothesis is

This is a right-tailed test because the alternative hypothesis is formulated to detect claim if difference of data is more than 0.
Now, the value of test static can be found out by following formula:

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