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 < < < < <

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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.
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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