A data set includes data from student evaluations of courses. The summary statistics are n = 92, x = 4.16, s = 0.57. Use a 0.10 significance level to test the claim that the population of student course evaluations has a mean equal to 4.25. 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. Ho: =4.25 H: u<4.25 O B. Ho: =4.25 H: u>4.25 D. Ho:=4.25 OC. Ho: H#4.25 H:u=4.25 H1: u#4.25 Determine the test statistic. O (Round to two decimal places as needed.)

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Please find test statistic and p value. Thank you.

A data set includes data from student evaluations of courses. The summary statistics are \( n = 92 \), \( \bar{x} = 4.16 \), \( s = 0.57 \). Use a 0.10 significance level to test the claim that the population of student course evaluations has a mean equal to 4.25. 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.

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

- **Option A:** 
  - \( H_0: \mu = 4.25 \)
  - \( H_1: \mu < 4.25 \)

- **Option B:** 
  - \( H_0: \mu = 4.25 \)
  - \( H_1: \mu > 4.25 \)

- **Option C:** 
  - \( H_0: \mu \neq 4.25 \)
  - \( H_1: \mu = 4.25 \)

- **Option D:** 
  - \( H_0: \mu = 4.25 \)
  - \( H_1: \mu \neq 4.25 \) 
  - (Selected option)

**Determine the test statistic.**

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

[There is a space for manual input of the test statistic.]

---

The diagram presents four multiple-choice options with null and alternative hypotheses for a statistical test. The correct option identifies \( H_0 \) as the population mean being equal to 4.25, and \( H_1 \) as the population mean not being equal to 4.25. The task involves calculating the test statistic and interpreting the results to assess the claim about the population mean.
Transcribed Image Text:A data set includes data from student evaluations of courses. The summary statistics are \( n = 92 \), \( \bar{x} = 4.16 \), \( s = 0.57 \). Use a 0.10 significance level to test the claim that the population of student course evaluations has a mean equal to 4.25. 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?** - **Option A:** - \( H_0: \mu = 4.25 \) - \( H_1: \mu < 4.25 \) - **Option B:** - \( H_0: \mu = 4.25 \) - \( H_1: \mu > 4.25 \) - **Option C:** - \( H_0: \mu \neq 4.25 \) - \( H_1: \mu = 4.25 \) - **Option D:** - \( H_0: \mu = 4.25 \) - \( H_1: \mu \neq 4.25 \) - (Selected option) **Determine the test statistic.** \[ \text{(Round to two decimal places as needed.)} \] [There is a space for manual input of the test statistic.] --- The diagram presents four multiple-choice options with null and alternative hypotheses for a statistical test. The correct option identifies \( H_0 \) as the population mean being equal to 4.25, and \( H_1 \) as the population mean not being equal to 4.25. The task involves calculating the test statistic and interpreting the results to assess the claim about the population mean.
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