Assume that you are planning a study and that you are at the point of trying to determine how many subjects are needed for your four-group design. You decide that all groups will have the same number of subjects. Assume the following group means of 21, 24, 30, and 45 are the actual population means instead of sample statistics. Under this hypothesis and assuming the population within-group standard deviation is 20, how many subjects would be needed per group in order to have a power of .8 in a one-way ANOVA with a = .05?
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