A data set includes data from student evaluations of courses. The summary statistics are n = 89, x = 3.58, s = 0.67. 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: u#3.75 O B. H9: H= 3.75 H,: u<3.75 H,: u= 3.75 C. Ho: H= 3.75 O D. Ho: H= 3.75 H,: p#3.75 H,: p> 3.75

MATLAB: An Introduction with Applications
6th Edition
ISBN:9781119256830
Author:Amos Gilat
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Chapter1: Starting With Matlab
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W6 Q6

Please help me find the answer and understand each one of the parts of the exercise. (Thanks in advance).

-Determine the test statistic (round to two decimals places.)

-Determine the​ P-value (round to three decimal places.)

-(Reject / Fail to reject) HThere is (Sufficient / Not sufficient) evidence to conclude that the mean of the population of student course evaluations is equal to 3.75 (Is / Is not) Correct.

A data set includes data from student evaluations of courses. The summary statistics are: \( n = 89 \), \( \bar{x} = 3.58 \), \( s = 0.67 \). 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?**

- **Option A**
  - \( H_0 \): \(\mu \neq 3.75\)
  - \( H_1 \): \(\mu = 3.75\)

- **Option B**
  - \( H_0 \): \(\mu = 3.75\)
  - \( H_1 \): \(\mu < 3.75\)

- **Option C**
  - \( H_0 \): \(\mu = 3.75\)
  - \( H_1 \): \(\mu \neq 3.75\)

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

**Selected Answer**: **Option C**
- \( H_0 \): \(\mu = 3.75\)
- \( H_1 \): \(\mu \neq 3.75\)
Transcribed Image Text:A data set includes data from student evaluations of courses. The summary statistics are: \( n = 89 \), \( \bar{x} = 3.58 \), \( s = 0.67 \). 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?** - **Option A** - \( H_0 \): \(\mu \neq 3.75\) - \( H_1 \): \(\mu = 3.75\) - **Option B** - \( H_0 \): \(\mu = 3.75\) - \( H_1 \): \(\mu < 3.75\) - **Option C** - \( H_0 \): \(\mu = 3.75\) - \( H_1 \): \(\mu \neq 3.75\) - **Option D** - \( H_0 \): \(\mu = 3.75\) - \( H_1 \): \(\mu > 3.75\) **Selected Answer**: **Option C** - \( H_0 \): \(\mu = 3.75\) - \( H_1 \): \(\mu \neq 3.75\)
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