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.)
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.)
MATLAB: An Introduction with Applications
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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.
---
**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.](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2Fe63a51c2-d6e7-4d44-a373-260c820d34ef%2Fe059be1a-fec4-4a7f-b927-93e46a6e4627%2F57p4mj_processed.png&w=3840&q=75)
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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