11. The data from Problem 10 show significant differences between treatments. To construct the following data, we started with the numbers in Problem 10 but we increased the variance within each sample.

Specifically, we kept the same means as in Problem 1 0. but we spread out the scores inside each of the treatments.

a. Before you begin any calculations, predict how the changes in the data should influence the outcome of the analysis. That is, how will the F-ratio for these data compare with the F-ratio from Problem 10?

b. Use an analysis of variance with a = .05 to determine whether there are any significant differences among the three treatments. (Does your answer agree with your prediction in part a?)

Treatment I II III 4 4 9 N= 12 2 3 G = 48 6 3 6 IX2 = 260 4 1 6 T= 16 T = 8 T = 24 55 = 8 SS = 10 55 = 18