State the conclusion based on the results of the test. The mean of the pressure required to open a certain valve is known to be u = 7.8 psi. Due to changes in the manufacturing process, the quality-control manager feels that the average pressure has changed. The null hypothesis was rejected. Choose the correct answer below. O A. There is not sufficient evidence that the mean of the pressure required to open a certain valve has changed. O B. The mean of the pressure has not changed. O c. The mean of the pressure has changed. O D. There is sufficient evidence that the mean of the pressure required to open a certain valve has changed. O E. There is sufficient evidence that the mean of the pressure required to open a certain valve has not changed. OF. There is not sufficient evidence that the mean of the pressure required to open a certain valve has not changed.

MATLAB: An Introduction with Applications
6th Edition
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Author:Amos Gilat
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Chapter1: Starting With Matlab
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**Conclusion Based on Hypothesis Test Results**

**Scenario:**

The mean pressure required to open a certain valve is known to be μ = 7.8 psi. Due to changes in the manufacturing process, a quality-control manager suspects that the average pressure needed has changed. After conducting a hypothesis test, the null hypothesis was rejected.

**Question:**

Choose the correct conclusion from the following options:

- **A.** There is not sufficient evidence that the mean of the pressure required to open a certain valve has changed.
- **B.** The mean of the pressure has not changed.
- **C.** The mean of the pressure has changed.
- **D.** There is sufficient evidence that the mean of the pressure required to open a certain valve has changed.
- **E.** There is sufficient evidence that the mean of the pressure required to open a certain valve has not changed.
- **F.** There is not sufficient evidence that the mean of the pressure required to open a certain valve has not changed.

**Explanation:**

Since the null hypothesis was rejected, this indicates that there is sufficient evidence to suggest that the mean pressure required to open the valve has indeed changed. Therefore, the correct conclusion is:

- **D.** There is sufficient evidence that the mean of the pressure required to open a certain valve has changed.
Transcribed Image Text:**Conclusion Based on Hypothesis Test Results** **Scenario:** The mean pressure required to open a certain valve is known to be μ = 7.8 psi. Due to changes in the manufacturing process, a quality-control manager suspects that the average pressure needed has changed. After conducting a hypothesis test, the null hypothesis was rejected. **Question:** Choose the correct conclusion from the following options: - **A.** There is not sufficient evidence that the mean of the pressure required to open a certain valve has changed. - **B.** The mean of the pressure has not changed. - **C.** The mean of the pressure has changed. - **D.** There is sufficient evidence that the mean of the pressure required to open a certain valve has changed. - **E.** There is sufficient evidence that the mean of the pressure required to open a certain valve has not changed. - **F.** There is not sufficient evidence that the mean of the pressure required to open a certain valve has not changed. **Explanation:** Since the null hypothesis was rejected, this indicates that there is sufficient evidence to suggest that the mean pressure required to open the valve has indeed changed. Therefore, the correct conclusion is: - **D.** There is sufficient evidence that the mean of the pressure required to open a certain valve has changed.
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