The research indicates that the effectiveness of antidepressant medication is directly related to the severity of the depression (Khan, Brodhead, Kolts & Brown, 2005). Based on pretreatment depression scores, patients were divided into four groups based on their level of depression. After receiving the antidepressant medication, depression scores were measured again, and the amount of improvement was recorded for each patient. The following data are similar to the results of the study.
|
Low |
High |
Moderately |
Severe |
|
2.9 |
3.2 |
4.8 |
3.7 |
|
1.6 |
0 |
3.6 |
3.1 |
|
1.2 |
3.2 |
1 |
3.1 |
|
2.5 |
1 |
2.9 |
5.6 |
|
0 |
3.2 |
4.1 |
3.8 |
|
2.4 |
2.9 |
2.3 |
5.9 |
4(a). Determine the Hypotheses:State the null and alternative hypotheses in math notation.
4(b).Access the Evidence.Use technology to do One-Way ANOVA test. Round your results to 3 decimal places.
MSB =
MSW =
F =
4(c). State a Conclusion.
At the 5% level of significance, state a conclusion in the context of the problem.
P-value =
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