MATLAB: An Introduction with Applications
MATLAB: An Introduction with Applications
6th Edition
ISBN: 9781119256830
Author: Amos Gilat
Publisher: John Wiley & Sons Inc
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A data set includes data from student evaluations of courses. The summary statistics are n = 90, x=4.19, s= 0.61. Use a 0.05 significance level to test the claim that the population of student 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? Test Statistic? P-Value? Reject H0 if the P-value is less than or equal to the significance level a. Fail to reject H0, if the P-value is greater than a.
**Question: 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:**
  - \( H_0: \mu = 4.25 \)
  - \( H_1: \mu \neq 4.25 \)
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Transcribed Image Text:**Question: 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:** - \( H_0: \mu = 4.25 \) - \( H_1: \mu \neq 4.25 \)
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