A data set includes data from student evaluations of courses. The summary statistics are n=88, x= 3.95, s= 0.61. Use a 0.10 significance level to test the claim that the population of student course evaluations has a mean equal to 4.00. 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? OA. Ho: = 4.00 H,:μ < 4.00 OC. Ho: μ#4.00 Ηγ: μ = 4.00 Ο Β. Ηγ μ = 4.00 H₁: 4.00 O D. Ho: H=4.00 H₁: μ>4.00

MATLAB: An Introduction with Applications
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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 address the original claim.

 

Reject or Fail to Reject H0. There is not sufficient or sufficient   evidence to conclude that the original claim that the mean of the population of student course evaluations is equal to 4.00 is or is not correct. 

A data set includes data from student evaluations of courses. The summary statistics are n = 88, x̄ = 3.95, s = 0.61. Use a 0.10 significance level to test the claim that the population of student course evaluations has a mean equal to 4.00. 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**
  - \( H_0: \mu = 4.00 \)
  - \( H_1: \mu < 4.00 \)

- **Option B**
  - \( H_0: \mu = 4.00 \)
  - \( H_1: \mu \neq 4.00 \)

- **Option C**
  - \( H_0: \mu \neq 4.00 \)
  - \( H_1: \mu = 4.00 \)

- **Option D**
  - \( H_0: \mu = 4.00 \)
  - \( H_1: \mu > 4.00 \)
Transcribed Image Text:A data set includes data from student evaluations of courses. The summary statistics are n = 88, x̄ = 3.95, s = 0.61. Use a 0.10 significance level to test the claim that the population of student course evaluations has a mean equal to 4.00. 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** - \( H_0: \mu = 4.00 \) - \( H_1: \mu < 4.00 \) - **Option B** - \( H_0: \mu = 4.00 \) - \( H_1: \mu \neq 4.00 \) - **Option C** - \( H_0: \mu \neq 4.00 \) - \( H_1: \mu = 4.00 \) - **Option D** - \( H_0: \mu = 4.00 \) - \( H_1: \mu > 4.00 \)
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