A data set includes data from student evaluations of courses. The summary statistics are n=90, x=3.61, s= 0.69. Use a 0.10 significance level to test the claim that the population of student course evaluations has a mean equal to 3.75. 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: μ = 3.75 H₁: 3.75 OC. Ho: H=3.75 H₁:μ<3.75 Determine the test statistic. (Round to two decimal places as needed.) Determine the P-value. (Round to three decimal places as needed.) State the final conclusion that addresses the original claim. Ho. There is OB. Ho: μ#3.75 H₁: H=3.75 OD. Ho: H=3.75 H₁: μ> 3.75 evidence to conclude that the mean of the population of student course evaluations i equal to 3.75 correct.

MATLAB: An Introduction with Applications
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Author:Amos Gilat
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A data set includes data from student evaluations of courses. The summary statistics are n = 90, x̄ = 3.61, s = 0.69. Use a 0.10 significance level to test the claim that the population of student course evaluations has a mean equal to 3.75. 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. \( H_0: \mu = 3.75 \)
  \( H_1: \mu \neq 3.75 \)

- B. \( H_0: \mu \neq 3.75 \)
  \( H_1: \mu = 3.75 \)

- C. \( H_0: \mu = 3.75 \)
  \( H_1: \mu < 3.75 \)

- D. \( H_0: \mu = 3.75 \)
  \( H_1: \mu > 3.75 \)

**Determine the test statistic.**

(Round to two decimal places as needed.)

**Determine the P-value.**

(Round to three decimal places as needed.)

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

\( H_0 \). There is [dropdown] evidence to conclude that the mean of the population of student course evaluations is equal to 3.75 [dropdown] correct.
Transcribed Image Text:A data set includes data from student evaluations of courses. The summary statistics are n = 90, x̄ = 3.61, s = 0.69. Use a 0.10 significance level to test the claim that the population of student course evaluations has a mean equal to 3.75. 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. \( H_0: \mu = 3.75 \) \( H_1: \mu \neq 3.75 \) - B. \( H_0: \mu \neq 3.75 \) \( H_1: \mu = 3.75 \) - C. \( H_0: \mu = 3.75 \) \( H_1: \mu < 3.75 \) - D. \( H_0: \mu = 3.75 \) \( H_1: \mu > 3.75 \) **Determine the test statistic.** (Round to two decimal places as needed.) **Determine the P-value.** (Round to three decimal places as needed.) **State the final conclusion that addresses the original claim.** \( H_0 \). There is [dropdown] evidence to conclude that the mean of the population of student course evaluations is equal to 3.75 [dropdown] correct.
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