Answer the one-way ANOVA questions using the data below. Use = 0.05.

1	2	3	4
53 49 47 27 51 34 44	44 39 36 49 39 30 12	46 42 29 37 36 34 47	25 35 30 27 33 49 31

a) Compute the preliminary statistics below. SS_BG = _____ ; df_BG = _____ SS_WG = _____ ; df_WG = _____ SS_T = _____ ; df_T = _____ b) Compute the appropriate test statistic(s) to make a decision about H₀. Critical value = _____ ; Test Statistic = _____ Decision: ---Select--- Reject H0, Fail to reject H0 c) Compute the corresponding effect size(s) and indicate magnitude(s). ² = _____ ; ---Select--- na, trivial effect, small effect, medium effect, large effect d) Make an interpretation based on the results (CHOOSE ONE OF THE TWO OPTIONS): -At least one mean is different from another.

-None of the means differed from one another.

e) Regardless of the H₀ decision in b), conduct Tukey's post hoc test for the following comparisons: 1 vs. 3: difference = _____ ; significant: ---Select--- Yes, No 2 vs. 3: difference = _____ ; significant: ---Select--- Yes, No f) Regardless of the H₀ decision in b), conduct Scheffe's post hoc test for the following comparisons: 2 vs. 4: test statistic = _____ ; significant: ---Select--- Yes, No 1 vs. 2: test statistic = _____ ; significant: ---Select--- Yes, No