Question 403485: Suppose that 30 randomly selected subjects are randomly assigned to three different treatment groups, 10 subjects in each. Each group is given one of three different drugs (A, B, or C) and the subjects’ responses are measured on a ratio scale.
We want to know test the hypothesis that the mean group responses are not all equal with a 5% significance level:
Sum ofSquares df MeanSquare F Sig.(p-value)
Between Groups 3.998 2 1.999 5.312 0.011
Within Groups 10.160 27 0.376
Total 14.158 29
F is 5.312 and p value is 0.011
With that result for the F-test, should we reject the null hypothesis given above?
Answer by stanbon(75887)   (Show Source):
You can put this solution on YOUR website! We want to know test the hypothesis that the mean group responses are not all equal with a 5% significance level:
Sum ofSquares df MeanSquare F Sig.(p-value)
Between Groups 3.998 2 1.999 5.312 0.011
Within Groups 10.160 27 0.376
Total 14.158 29
F is 5.312 and p value is 0.011
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With that result for the F-test, should we reject the null hypothesis given above?
Ho: means are all equal
Ha: At least one of the means is not equal
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Since the p-value is less than 5%, reject Ho.
At least one of the means is not equal.
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Cheers,
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