A data set includes data from student evaluations of courses. The summary statistics are n=95, x= 3.33, s=0.66. Use a 0.10 significance level to test the claim that the population of student course evaluations has a mean equal to 3.50. Assume that a simple random sample has been selected. Identify the null and alternative hypotheses, test statistic, P-value, and state the final conclusion that addresses the original claim. What are the null and alternative hypotheses? O A. Hp: H=3.50 H:u<3.50 О в. Но: и3.50 H: u23.50 OC. Ho: Hz3.50 H:p=3.50 OD. Ho: =3.50 H: u>3.50 Determine the test statistic. (Round to two decimal places as needed.) Determine the P-value. (Round three decimal places as needed.) State the final conclusion that addresses the original claim. v Ho. There is v evidence to conclude that the mean of the population of student course evaluations is equal to 3.50 v correct.

MATLAB: An Introduction with Applications
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A data set includes data from student evaluations of courses. The summary statistics are \( n=95 \), \( \bar{x}=3.33 \), \( s=0.66 \). Use a 0.10 significance level to test the claim that the population of student course evaluations has a mean equal to 3.50. Assume that a simple random sample has been selected. Identify the null and alternative hypotheses, test statistic, P-value, and state the final conclusion that addresses the original claim.

**What are the null and alternative hypotheses?**

- **A.** \( H_0: \mu = 3.50 \)   
  \( H_1: \mu < 3.50 \)
  
- **B.** \( H_0: \mu = 3.50 \)  
  \( H_1: \mu \neq 3.50 \)
  
- **C.** \( H_0: \mu = 3.50 \)   
  \( H_1: \mu > 3.50 \)
  
- **D.** \( H_0: \mu \neq 3.50 \)  
  \( H_1: \mu = 3.50 \)

---

**Determine the test statistic.**

\[
\text{(Round to two decimal places as needed.)}
\]

**Determine the P-value.**

\[
\text{(Round to three decimal places as needed.)}
\]

**State the final conclusion that addresses the original claim.**

\( H_0 \). There is \(\underline{\quad}\) evidence to conclude that the mean of the population of student course evaluations is equal to 3.50 \(\underline{\quad}\) correct.
Transcribed Image Text:A data set includes data from student evaluations of courses. The summary statistics are \( n=95 \), \( \bar{x}=3.33 \), \( s=0.66 \). Use a 0.10 significance level to test the claim that the population of student course evaluations has a mean equal to 3.50. Assume that a simple random sample has been selected. Identify the null and alternative hypotheses, test statistic, P-value, and state the final conclusion that addresses the original claim. **What are the null and alternative hypotheses?** - **A.** \( H_0: \mu = 3.50 \) \( H_1: \mu < 3.50 \) - **B.** \( H_0: \mu = 3.50 \) \( H_1: \mu \neq 3.50 \) - **C.** \( H_0: \mu = 3.50 \) \( H_1: \mu > 3.50 \) - **D.** \( H_0: \mu \neq 3.50 \) \( H_1: \mu = 3.50 \) --- **Determine the test statistic.** \[ \text{(Round to two decimal places as needed.)} \] **Determine the P-value.** \[ \text{(Round to three decimal places as needed.)} \] **State the final conclusion that addresses the original claim.** \( H_0 \). There is \(\underline{\quad}\) evidence to conclude that the mean of the population of student course evaluations is equal to 3.50 \(\underline{\quad}\) correct.
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