Suppose you are performing a one-way ANOVA test with only the information given in the following table.

a. Suppose the sample sizes for all groups are equal. How many groups are there? What are the group sample sizes?
b. The p-value for the test of the equality of the means of all populations is calculated to be .6406. Suppose you plan to increase the sample sizes for all groups but keep them all equal. However, when you do this, the sum of squares within samples and the sum of squares between samples (magically) remain the same. What are the smallest sample sizes for groups that would make this result significant at a 5% significance level?

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Source of Variation Between Within Degrees of Freedom 4 45 sum of Squares 200 3547