(a) Write the claim mathematically and identify Ho and Ha Which of the following correctly states Ho and H₂? OA. Ho: ≤11.0 H₂ μ>11.0 OD. Ho: <11.0 Η με 11.0 (b) Use technology to find the P-value. P= (Round to three decimal places as needed.) (c) Decide whether to reject or fail to reject the null hypothesis. Which of the following is correct? OA. Fail to reject Ho because the P-value i greater than the significance level. OB. Reject Ho because the P-value is greater than the significance level. OB. Ho: 11.0 H₂: 11.0 OE. Ho: >11.0 H₂: ≤11.0 A OC. Ho: 11.0 H₂p=11.0 OF. Ho: p211.0 H₂: p<11.0

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**Statistical Testing of Classroom Hours Claim**

**Scenario:**

The dean of a university estimates that the mean number of classroom hours per week for full-time faculty is 11.0 hours. As a member of the student council, you want to test this claim. A random sample of the number of classroom hours for eight full-time faculty for one week is shown in the table below. At a significance level of α = 0.10, can you reject the dean's claim? Complete parts (a) through (d) below. Assume the population is normally distributed.

**Data Table:**
- 10.4
- 8.2
- 13.1
- 8.8
- 6.1
- 11.3
- 12.6
- 9.9

**Tasks:**

**(a) Write the claim mathematically and identify H₀ (null hypothesis) and Hₐ (alternative hypothesis).**

Which of the following correctly states H₀ and Hₐ?
- **A.** H₀: μ ≤ 11.0
         Hₐ: μ > 11.0
- **B.** H₀: μ = 11.0
         Hₐ: μ ≠ 11.0
- **C.** H₀: μ ≠ 11.0
         Hₐ: μ = 11.0
- **D.** H₀: μ < 11.0
         Hₐ: μ ≥ 11.0
- **E.** H₀: μ > 11.0
         Hₐ: μ ≤ 11.0
- **F.** H₀: μ = 11.0
         Hₐ: μ < 11.0

**(b) Use technology to find the P-value.**

P = ____ (Round to three decimal places as needed.)

**(c) Decide whether to reject or fail to reject the null hypothesis.**

Which of the following is correct?
- **A.** Fail to reject H₀ because the P-value is greater than the significance level.
- **B.** Reject H₀ because the P-value is greater than the significance level.
- **C.** Reject H₀ because the P-value is less than the significance level.
- **D.**
Transcribed Image Text:**Statistical Testing of Classroom Hours Claim** **Scenario:** The dean of a university estimates that the mean number of classroom hours per week for full-time faculty is 11.0 hours. As a member of the student council, you want to test this claim. A random sample of the number of classroom hours for eight full-time faculty for one week is shown in the table below. At a significance level of α = 0.10, can you reject the dean's claim? Complete parts (a) through (d) below. Assume the population is normally distributed. **Data Table:** - 10.4 - 8.2 - 13.1 - 8.8 - 6.1 - 11.3 - 12.6 - 9.9 **Tasks:** **(a) Write the claim mathematically and identify H₀ (null hypothesis) and Hₐ (alternative hypothesis).** Which of the following correctly states H₀ and Hₐ? - **A.** H₀: μ ≤ 11.0 Hₐ: μ > 11.0 - **B.** H₀: μ = 11.0 Hₐ: μ ≠ 11.0 - **C.** H₀: μ ≠ 11.0 Hₐ: μ = 11.0 - **D.** H₀: μ < 11.0 Hₐ: μ ≥ 11.0 - **E.** H₀: μ > 11.0 Hₐ: μ ≤ 11.0 - **F.** H₀: μ = 11.0 Hₐ: μ < 11.0 **(b) Use technology to find the P-value.** P = ____ (Round to three decimal places as needed.) **(c) Decide whether to reject or fail to reject the null hypothesis.** Which of the following is correct? - **A.** Fail to reject H₀ because the P-value is greater than the significance level. - **B.** Reject H₀ because the P-value is greater than the significance level. - **C.** Reject H₀ because the P-value is less than the significance level. - **D.**
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