Question 4 of 20 , Step 1 of 1
Correct
An 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 4 Ibs/square inch. Assume the standard deviation is known to be 0.9 . If the valve was designed to produce a mean pressure of $4.2 \mathrm{lbs} / \mathrm{square}$ inch, is there sufficient evidence at the 0.02 level that the valve performs below the specifications?
State the null and alternative hypotheses for the above scenario.
Answer
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Solution
Step 1 :The null hypothesis, denoted as $H_0$, is: The mean pressure of the valve is 4.2 lbs/square inch.
Step 2 :The alternative hypothesis, denoted as $H_a$, is: The mean pressure of the valve is less than 4.2 lbs/square inch.