# ANOVA table

See the attached file.

Below is a one-way ANOVA table for three diet programs. One plan uses low fat foods, a second uses rigorous exercise, and a third uses a combination of low fat foods and an exercise regimen.

Source Sum of Squares df Mean Sum of Squares F

Between Groups 1,258.34 2 ? ?

Within Groups 1,806.52 33 ?

Total 3,064.86 35

(a) Fill in the question marks in the table above.

(b) The critical value for a 5% risk for (since is not in the table) is 3.32.

H0: ; H1: not all sample means are equal.

Compare the test statistic F in the table above with the CV in part (b), what do you think about the effectiveness of this program? Should follow up tests be conducted? Explain.

https://brainmass.com/statistics/analysis-of-variance/way-anova-table-diet-programs-194197

#### Solution Summary

The solution contains the determination of mean sum of squares and F values for an ANOVA table. The decision criteria of the ANOVA test is also discussed.