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# ANOVA test for effect of drug on animals

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A psychologist would like to examine the effects of a new drug on the activity level of animals. Three samples of rats are selected with n = 5 in each sample. One group gets no drug, one group gets a small dose, and the third group gets a large dose. The psychologist records the activity level for each animal. The data from this experiment are presented below.
No drug Small dose Large dose
5 5 10
3 5 12
1 9 9 G = 90
1 6 6 &#931;X2 = 678
5 5 8
T = 15 T = 30 T = 45
SS = 16 SS = 12 SS = 20
(a) Do these data indicate any significant differences among the three groups? Test with &#945; = .05.
and conclude that the drug a significant effect on activity level.

(b) Compute &#951;2, the percentage of variance accounted for by the treatment. (Round the answer to two decimal places.)

#### Solution Summary

The solution provides step by step method for the calculation of F statistic of ANOVA. Formula for the calculation and Interpretations of the results are also included.

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