3. A researcher was interested in the effects of a drug on depression. Subjects were randomly assigned to one of the three groups. Subjects in the control group received a placebo and the subjects in the two treatment groups received either a 0.2 mg or a 0.4 mg dosage of the drug. After several weeks of drug (or placebo) treatment, the researcher measured the subjects' level of depression (a low score indicating greater depression) The following data were obtained. Placebo 0.2 mg 0.4 mg 12 11 12 8 10 9 14 11 11 17 13 13 16 15 7 16 12 Mean of X = 10 14 12 S^2 = 5.6 8.4 4 Using 5% of significance, test the hypothesis that the three groups differ in their effectiveness.

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3. A researcher was interested in the effects of a drug on depression. Subjects were randomly
assigned to one of the three groups. Subjects in the control group received a placebo and the
subjects in the two treatment groups received either a 0.2 mg or a 0.4 mg dosage of the drug.
After several weeks of drug (or placebo) treatment, the researcher measured the subjects' level
of depression (a low score indicating greater depression) The following data were obtained.
Placebo
0.2 mg
0.4 mg
12
11
12
10
9.
14
11
11
17
13
13
16
15
7
16
12
Mean of X = 10
14
12
S^2 = 5.6
8.4
Using 5% of significance, test the hypothesis that the three groups differ in their effectiveness.
Transcribed Image Text:3. A researcher was interested in the effects of a drug on depression. Subjects were randomly assigned to one of the three groups. Subjects in the control group received a placebo and the subjects in the two treatment groups received either a 0.2 mg or a 0.4 mg dosage of the drug. After several weeks of drug (or placebo) treatment, the researcher measured the subjects' level of depression (a low score indicating greater depression) The following data were obtained. Placebo 0.2 mg 0.4 mg 12 11 12 10 9. 14 11 11 17 13 13 16 15 7 16 12 Mean of X = 10 14 12 S^2 = 5.6 8.4 Using 5% of significance, test the hypothesis that the three groups differ in their effectiveness.
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