The graph to the right portrays the decision criterion for a hypothesis test for a population mean u. The null hypothesis for the test is Ho: = Ho. The curve in the graph is the normal curve for the test statistic under the assumption that the null hypothesis is true. Complete parts (a) through () below. Reject Do not reject Ho Ho 1 0.04 I/ -1.751 6 a. Determine the rejection region. O A. z> - 1.751 O B. z>1.751 O C. zs - 1.751 O D. zs -1.751 or z2 1.751 b. Determine the nonrejection region. O A. -1.751szs1.751 Question Viewer O B. - 1.751 -1.751 c. Determine the critical value(s). z= (Type integers or decimals. Do not round. Use a comma to separate answers as needed.)

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**Hypothesis Testing for a Population Mean**

The graph to the right illustrates the decision criterion for a hypothesis test for a population mean \( \mu \). The null hypothesis for the test is \( H_0: \mu = \mu_0 \). The curve in the graph is the normal curve for the test statistic under the assumption that the null hypothesis is true. Complete parts (a) through (c) below.

**Graph Explanation:**

A standard normal distribution curve is shown with two regions labeled:
- **Reject \( H_0 \)**: The area in the tails beyond the critical values.
- **Do not reject \( H_0 \)**: The area between the critical values.

The critical values are marked at \( z = -1.751 \) and \( z = 1.751 \), defining the boundaries between these regions.

**Questions:**

a. **Determine the rejection region.**

- A. \( z > -1.751 \)
- B. \( z > 1.751 \)
- C. \( z < -1.751 \)
- D. \( z < -1.751 \) or \( z > 1.751 \)

b. **Determine the nonrejection region.**

- A. \( -1.751 \le z \le 1.751 \)
- B. \( -1.751 < z < 1.751 \)
- C. \( z \le 1.751 \)
- D. \( z > -1.751 \)

c. **Determine the critical value(s).**

- \( z = \) ______
(Type integers or decimals. Do not round. Use a comma to separate answers as needed.)

Click to select your answer(s).
Transcribed Image Text:**Hypothesis Testing for a Population Mean** The graph to the right illustrates the decision criterion for a hypothesis test for a population mean \( \mu \). The null hypothesis for the test is \( H_0: \mu = \mu_0 \). The curve in the graph is the normal curve for the test statistic under the assumption that the null hypothesis is true. Complete parts (a) through (c) below. **Graph Explanation:** A standard normal distribution curve is shown with two regions labeled: - **Reject \( H_0 \)**: The area in the tails beyond the critical values. - **Do not reject \( H_0 \)**: The area between the critical values. The critical values are marked at \( z = -1.751 \) and \( z = 1.751 \), defining the boundaries between these regions. **Questions:** a. **Determine the rejection region.** - A. \( z > -1.751 \) - B. \( z > 1.751 \) - C. \( z < -1.751 \) - D. \( z < -1.751 \) or \( z > 1.751 \) b. **Determine the nonrejection region.** - A. \( -1.751 \le z \le 1.751 \) - B. \( -1.751 < z < 1.751 \) - C. \( z \le 1.751 \) - D. \( z > -1.751 \) c. **Determine the critical value(s).** - \( z = \) ______ (Type integers or decimals. Do not round. Use a comma to separate answers as needed.) Click to select your answer(s).
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