A researcher randomly assigns 12 participants to one of three weight-loss conditions (A-diet, B-exercise, C-medication). The researcher obtains the following data:
|
A |
B |
C |
Grand Total |
|
3 |
1 |
5 |
|
|
5 |
2 |
7 |
|
|
9 |
1 |
8 |
|
|
10 |
1 |
8 |
|
| Mean |
6.75 |
1.25 |
7 |
5 |
| Std. Dev. |
3.3 |
0.5 |
1.41 |
3.35 |
| Variance |
10.91 |
0.25 |
2 |
11.27 |
The researcher wants to test the null hypothesis that weight loss is equal under all 3 conditions. Conduct a one-way analysis of variance.
What is the values of SStotal?