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.
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?
State the hypotheses.
That is, there is no sufficient evidence to conclude that the valve performs below specifications.
That is, there is sufficient evidence to conclude that the valve performs below specifications.
Obtain the value of the test statistic.
The value of the test statistic is obtained below as follows:
Thus, the value of the test statistic is –1.095.
Step by step
Solved in 3 steps with 5 images