A University of Pittsburgh researcher has the following two sets of data, each of which contains three independent groups. The 12 subjects in each set were randomly assigned to the groups; 4 subjects...

A University of Pittsburgh researcher has the following two sets of data, each of which contains three independent groups. The 12 subjects in each set were randomly assigned to the groups; 4 subjects were assigned to each group. The numbers are scores on some dependent measure.

Which set of data is likely to yield a larger F ratio in an analysis of variance? How can you be sure?