Question
A study is conducted to compare three new appetite suppressants (A, B, and C) to a placebo in terms of their effects on weight reduction.
A study is conducted to compare three new appetite suppressants (A, B, and C) to a placebo in terms of their effects on weight reduction. A total of 80 participants are involved and are randomly assigned to the comparison groups (in equal numbers). The outcome of interest is weight reduction, measured in pounds. The following data are observed after 3 months on treatment.
A | B | C | Placebo | |
Mean (SD) weight reduction | 6.4 (4.1) | 8.9 (4.0) | 2.2 (3.9) | 2.5 (4.3) |
Is there a significant difference in mean weight reduction among the four treatments? Use a 5% level of significance. Hint: SST = 1889.
What is the numeric result for test statistics?
Follow the hypothesis testing steps:
1. Set up hypotheses and determine level of significance
2. Select the appropriate test statistic. Write the formula you choose.
3. Set up decision rule.
4. Compute the test statistic.
5.Interpretthe result.
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