In: Statistics and Probability
You have 4 groups with an overall sample size of n = 20. The F critical value at the alpha = 0.05 level of significance is 3.24. Complete the following 1 factor ANOVA table below:
| 
 ANOVA table  | 
||||
| 
 Source  | 
 SS  | 
 df  | 
 MS  | 
 F  | 
| 
 Treatment  | 
 258.00  | 
 ________  | 
 ________  | 
 ________  | 
| 
 Error  | 
 164.80  | 
 ________  | 
 ________  | 
|
| 
 Total  | 
 422.80  | 
Is there a significant difference (α=0.05) between at least two of the four groups for the analysis in question 1 (above)? (circle one) YES NO
Use the following data set to complete the ANOVA table and answer the questions.
| 
 Group 1  | 
 Group 2  | 
 Group 3  | 
| 
 2  | 
 2  | 
 3  | 
| 
 5  | 
 5  | 
 4  | 
| 
 4  | 
 2  | 
 8  | 
| 
 7  | 
 3  | 
 7  | 
| 
 6  | 
 1  | 
 7  | 
| 
 ANOVA table  | 
|||||
| 
 Source  | 
 SS  | 
 df  | 
 MS  | 
 F  | 
 p-value  | 
| 
 Treatment  | 
 ________  | 
 ________  | 
 ________  | 
 ________  | 
 ________  | 
| 
 Error  | 
 ________  | 
 ________  | 
 ________  | 
||
| 
 Total  | 
 ________  | 
Is there a significant difference (α=0.05) between at least two of the four groups for the analysis in question 1 (above)? (circle one) YES NO
Confidence interval for Group 1 ( _________ , _________)
Confidence interval for Group 2 ( _________ , _________)
Confidence interval for Group 3 ( _________ , _________)
Is Group 1 significantly different from Group 2 at the α=0.05 level of significance YES NO
Is Group 1 significantly different from Group 3 at the α=0.05 level of significance YES NO
Is Group 2 significantly different from Group 3 at the α=0.05 level of significance YES NO