Identify the null hypothesis, alternative hypothesis, test statistic, P-value, conclusion about the null hypothesis, and final conclusion that addresses the original claim. Use a significance level of 0.05 to test the claim. One-way ANOVA: Source DF SS MS F P Size 3 13.500 4.500 5.170.011 Error 16 13.925 0.870 Total 1927.425 Null Hypothesis, HO Alternative Hypothesis, H1 Test Statistic, F P-value Significance level Conclusion < < < < <
Identify the null hypothesis, alternative hypothesis, test statistic, P-value, conclusion about the null hypothesis, and final conclusion that addresses the original claim. Use a significance level of 0.05 to test the claim. One-way ANOVA: Source DF SS MS F P Size 3 13.500 4.500 5.170.011 Error 16 13.925 0.870 Total 1927.425 Null Hypothesis, HO Alternative Hypothesis, H1 Test Statistic, F P-value Significance level Conclusion < < < < <
MATLAB: An Introduction with Applications
6th Edition
ISBN:9781119256830
Author:Amos Gilat
Publisher:Amos Gilat
Chapter1: Starting With Matlab
Section: Chapter Questions
Problem 1P
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![### Hypothesis Testing Using One-Way ANOVA
**Objective:** Identify the null hypothesis, alternative hypothesis, test statistic, P-value, conclusion about the null hypothesis, and the final conclusion that addresses the original claim.
**Significance Level:** 0.05
**Data: One-way ANOVA Table**
| Source | DF | SS | MS | F | P |
|--------|----|--------|-------|------|------|
| Size | 3 | 13.500 | 4.500 | 5.17 | 0.011|
| Error | 16 | 13.925 | 0.870 | | |
| Total | 19 | 27.425 | | | |
**Hypothesis Setup**
- **Null Hypothesis (H0):** Fill this with the statement that indicates no effect or no difference.
- **Alternative Hypothesis (H1):** Fill this with the statement that indicates there is an effect or a difference.
**Test Statistic and P-value Determination**
- **Test Statistic (F):** The F-value from the ANOVA table.
- **P-value:** The P-value from the ANOVA table.
**Conclusion Criteria**
- Compare the P-value to the significance level (0.05).
- **Significance Level:** 0.05
- Draw a conclusion based on whether the P-value is less than or greater than the significance level.
**Conclusion Structure**
- If P-value < Significance Level: Reject the null hypothesis (H0).
- If P-value ≥ Significance Level: Fail to reject the null hypothesis (H0).
Following this structure ensures the clarity and correctness of hypothesis testing using one-way ANOVA for educational purposes.](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2Fa47ee829-75ba-4f55-8a9d-b9984c81c5d2%2F1815fef5-2ae2-4279-976c-5e3b4125b9fe%2F5mubzxj_processed.jpeg&w=3840&q=75)
Transcribed Image Text:### Hypothesis Testing Using One-Way ANOVA
**Objective:** Identify the null hypothesis, alternative hypothesis, test statistic, P-value, conclusion about the null hypothesis, and the final conclusion that addresses the original claim.
**Significance Level:** 0.05
**Data: One-way ANOVA Table**
| Source | DF | SS | MS | F | P |
|--------|----|--------|-------|------|------|
| Size | 3 | 13.500 | 4.500 | 5.17 | 0.011|
| Error | 16 | 13.925 | 0.870 | | |
| Total | 19 | 27.425 | | | |
**Hypothesis Setup**
- **Null Hypothesis (H0):** Fill this with the statement that indicates no effect or no difference.
- **Alternative Hypothesis (H1):** Fill this with the statement that indicates there is an effect or a difference.
**Test Statistic and P-value Determination**
- **Test Statistic (F):** The F-value from the ANOVA table.
- **P-value:** The P-value from the ANOVA table.
**Conclusion Criteria**
- Compare the P-value to the significance level (0.05).
- **Significance Level:** 0.05
- Draw a conclusion based on whether the P-value is less than or greater than the significance level.
**Conclusion Structure**
- If P-value < Significance Level: Reject the null hypothesis (H0).
- If P-value ≥ Significance Level: Fail to reject the null hypothesis (H0).
Following this structure ensures the clarity and correctness of hypothesis testing using one-way ANOVA for educational purposes.
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