Use the following scenario to answer the next 6 questions. An engineer has designed a valve that will regulate water pressure on an automobile engine.  The valve was tested on 30 engines and the mean pressure was 4.8 psi with a standard deviation of 1 psi.  If the valve was designed to produce an overall mean pressure of 5.0 psi, is there sufficient evidence at the 10% level of significance that the valve performs below specifications? Choose the statement that matches your decision & conclusion. Group of answer choices Fail to reject the null: there is NOT sufficient evidence that the valve performs below specifications. Fail to reject the null: there IS sufficient evidence to conclude that the valve performs below specifications. Reject the null: there is NOT sufficient evidence that the valve performs below specifications. Reject the null: there IS sufficient evidence that the valve performs below specifications.

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Use the following scenario to answer the next 6 questions.

An engineer has designed a valve that will regulate water pressure on an automobile engine.  The valve was tested on 30 engines and the mean pressure was 4.8 psi with a standard deviation of 1 psi.  If the valve was designed to produce an overall mean pressure of 5.0 psi, is there sufficient evidence at the 10% level of significance that the valve performs below specifications?

Choose the statement that matches your decision & conclusion.
Group of answer choices
Fail to reject the null: there is NOT sufficient evidence that the valve performs below specifications.
Fail to reject the null: there IS sufficient evidence to conclude that the valve performs below specifications.
Reject the null: there is NOT sufficient evidence that the valve performs below specifications.
Reject the null: there IS sufficient evidence that the valve performs below specifications.
Expert Solution
Step 1

State the hypotheses.

Statistics homework question answer, step 1, image 1

That is, there is no sufficient evidence to conclude that the valve performs below specifications.

Statistics homework question answer, step 1, image 2

That is, there is sufficient evidence to conclude that the valve performs below specifications.

Step 2

Obtain the value of the test statistic.

The value of the test statistic is obtained below as follows:

Statistics homework question answer, step 2, image 1

Thus, the value of the test statistic is –1.095.

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