A researcher is interested to learn if there is a relationship between the level of interaction a women in her 20s has with her mother and her life satisfaction ranking. Below is a list of women who fit into each of four level of interaction. Conduct a One-Way ANOVA on the data to determine if a relationship exists.
No Interaction |
Low Interaction |
Moderate Interaction |
High Interaction |
2 |
3 |
3 |
9 |
4 |
3 |
10 |
10 |
4 |
5 |
2 |
8 |
4 |
1 |
1 |
5 |
7 |
2 |
2 |
8 |
8 |
2 |
3 |
4 |
1 |
7 |
10 |
9 |
1 |
8 |
8 |
4 |
8 |
6 |
4 |
1 |
4 |
5 |
3 |
8 |
H0 : there is relationship between a level of interaction a women in her 20's with her mother and her life satisfaction ranking.
no interaction | low | moderate | high | total | |
N | 10 | 10 | 10 | 10 | 40 |
Sum(X) | 43 | 42 | 46 | 66 | 197 |
mean | 4.3 | 4.2 | 4.6 | 6.6 | 4.925 |
Sum(X^2) | 247 | 226 | 316 | 512 | 1301 |
std.dev. | 2.6268 | 2.3476 | 3.4059 | 2.9136 | 2.9123 |
Sourse | SS | DF | MS | |
Between treatments | 38.275 | 3 | 12.7583 | F = 1.57026 |
within treatments | 292.5 | 36 | 8.125 | |
total | 330.775 | 39 |
The f-ratio value is 1.57026. The p-value is .213434. The result is not significant at p < .05.
Hence here we can not reject H0.
Hence we can say that there might be relationship between a level of interaction a women in her 20's with her mother and her life satisfaction ranking.
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