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.
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.