Question: Suppose you are performing a one-way ANOVA with only the information given in the following table.
Source of Variation Degree of Freedom Sum of Squares
Between 4 200
Within 45 3547
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 the 5% significance level?