12. Following are three data sets. For the first two data sets, in addition to the means and estimated population variances, we have shown the t test information. You should figure the third yourself. Also, for each, figure a one-way analysis of variance using the regular method of “Introduction to the Analysis of Variance”

(not the structural model approach shown in the Advanced Topic section of that chapter). Make a chart of the similarities of

(a) t df to F denominator df,

(b) t cutoff to square root of F cutoff,

(c) S2 Pooled to S2 Within, and

(d) the t score to the square root of the F ratio. (Use the .01 level throughout; t tests are two-tailed.)