16 Complete ANOVA Table. Study Type - Depression and exercise, 5 groups used. Depression scale ratings were between 1-1007 given to all 1255 participants in sample. Test at 5% significance. hypothesis, test statistic, pvalue, and conclusion. Stale Model Error Total Sum of Squares of 1 square Evalue Pvalue 68 4 114.86 1250 185 253 17 0.148

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**Complete ANOVA Table**

**Study Type:** Depression and Exercise

- **Groups Used:** 5

Depression scale ratings were between 1-100, given to all 1255 participants in the sample. Test at 5% significance.

**State Hypothesis, Test Statistic, P-value, and Conclusion.**

| Source  | Sum of Squares | df   | Mean Square | F-value | P-value |
|---------|----------------|------|-------------|---------|---------|
| Model   | 68             | 4    | 17          | 14.86   |         |
| Error   | 185            | 1250 | 0.148       |         |         |
| Total   | 253            |      |             |         |         |

**Explanation:**

- **Sum of Squares**: Represents the variation within the data.
- **df** (degrees of freedom): Number of values in the final calculation of a statistic that are free to vary.
- **Mean Square**: Calculated by dividing the sum of squares by the corresponding degrees of freedom.
- **F-value**: Ratio of the variance between the group means to the variance within the groups. 
- **P-value**: Probability of obtaining the observed results assuming that the null hypothesis is correct. (Not provided here)
Transcribed Image Text:**Complete ANOVA Table** **Study Type:** Depression and Exercise - **Groups Used:** 5 Depression scale ratings were between 1-100, given to all 1255 participants in the sample. Test at 5% significance. **State Hypothesis, Test Statistic, P-value, and Conclusion.** | Source | Sum of Squares | df | Mean Square | F-value | P-value | |---------|----------------|------|-------------|---------|---------| | Model | 68 | 4 | 17 | 14.86 | | | Error | 185 | 1250 | 0.148 | | | | Total | 253 | | | | | **Explanation:** - **Sum of Squares**: Represents the variation within the data. - **df** (degrees of freedom): Number of values in the final calculation of a statistic that are free to vary. - **Mean Square**: Calculated by dividing the sum of squares by the corresponding degrees of freedom. - **F-value**: Ratio of the variance between the group means to the variance within the groups. - **P-value**: Probability of obtaining the observed results assuming that the null hypothesis is correct. (Not provided here)
Expert Solution
Step 1

Given that

Study Type : Depression and exercise 

5 groups used 

Level of significance=0.05 

Participants n=1255 

Test at 5% significance

State Hypothesis, test statistic, p value and conclusion: 

  Sum of squares  df MSqure Fvalue pvalue
Model 68 4 17 114.86  
Error 185 1250

0.148

   
Total 253        
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