To answer the questions in this exercise, refer to the summary information given below.

XÌ…₁ = 12.29, s = 0.95, n₁ = 7

XÌ…₂ = 12.86, s = 0.90, n₂ = 7

XÌ…₃ = 13.86, s = 0.81, n₃ = 7

1. Using Table G in your textbook, identify q for Tukey€™s HSD test with a significance level equal to .05.

2. Calculate HSD for these data.

3. Apply Tukey€™s HSD test to these group means and indicate which pairs of means are significantly different.

4. Using formula 16.10 in your textbook, calculate the standardized effect size for each significant pairwise difference.

Transcribed Image Text:

SOURCE 8.86 Between df MS F 5.27 4.43 2 Within Total 15.14 18 0.84 20 24.00 Table G CRITICAL VALUES OF q FOR TUKEY'S HSD TEST .05 level of significance (light numbers) .01 level of significance (dark numbers) ERROR NUMBER OF MEANS (K) di 10 11 .05 .01 6.08 14.0 8.33 19.0 9.80 22.3 10.9 24.7 11.7 26.6 12.4 28.2 13.0 29.5 13.5 30.7 14.0 31.7 14.4 32.6 .05 .01 4.50 8.26 5.91 10.6 6.82 12.2 7.50 13.3 6.29 9.96 8.04 14.2 8.48 15.0 8.85 15.6 9.18 16.2 9.46 16.7 9.72 17.8 .05 .01 3.93 6.51 5.04 8.12 5.76 9.17 6.71 10.6 7.05 11.1 7.35 11.5 7.60 11.9 7.83 12.3 8.03 12.6 05 01 3.64 5.70 4.60 6.98 5.22 7.80 5.67 8.42 6.03 8.91 6.33 9.32 6.58 9.67 6.80 9.97 6.99 10.24 7.17 10.48 .05 .01 3.46 5.24 4.34 4.90 5.30 7.56 5.63 7.97 5.90 8.32 6.12 8.61 6.32 8.87 6.49 9.10 6.65 9.30 6.33 7.03 .05 .01 3.34 4.95 4.16 5.92 4.68 6.54 5.06 7.01 5.36 7.37 5.61 7.68 5.40 7.24 5.82 7.94 6.00 8.17 6.16 8.37 6.30 8.55 .05 .01 3.26 4.75 4.04 5.64 4.53 6.20 4.89 6.62 5.17 6.96 5.60 7.47 5.77 7.68 5.92 7.86 6.05 8.03 .05 .01 3.20 4.60 3.95 5.43 4.41 5.96 4.76 6.35 5.02 6.66 524 6.91 5.43 7.13 5.59 7.33 5.74 7.49 5.87 7.65 10 .05 .01 3.15 4.48 3.88 4.33 5.77 4.65 6.14 4.91 6.43 5.12 6.67 5.30 6.87 5.46 7.05 5.60 7.21 5.72 7.36 5.27 3.82 5.15 11 05 .01 3.11 4.39 4.26 5.62 4,57 5.97 4.82 6.25 5.03 6.48 5.20 6.67 5.35 6.84 5.49 6.99 5.61 7.13 5.51 6.94 12 .05 01 3.08 4.32 3.77 5.05 3.73 4.96 4.20 4.51 5.84 4.75 6.10 4.60 5.98 4.95 6.32 5.12 6.51 5.05 6.37 5.27 6.67 5.39 6.81 5.50 3.06 4.26 4.15 5.40 4.45 5.73 5.19 6.53 13 .05 .01 4.88 6.19 5.32 6.67 5.43 6.79 4.64 5.88 4.99 6.26 5.13 6.41 14 .05 .01 3.03 4.21 3.70 4.89 4,11 5.32 4,41 5.63 5.25 6.54 5.36 6.66 4.83 6.08 15 05 .01 3.01 4.17 3.67 4.84 4.08 5.25 4.37 5.56 4.59 5.80 4.78 5.99 4.94 6.16 5.08 6.31 5.20 6.44 5.31 6.55 16 .05 01 3.00 4.13 3.65 4.79 4.05 5.19 4.33 5.49 4.56 5.72 4.74 5.92 4.90 6.08 5.03 6.22 5.15 6.35 5.26 6.46 17 .05 .01 2.98 4.10 3.63 4.74 4.02 5.14 4.30 5.43 4.52 5.66 4.70 5.85 4.86 6.01 4.99 6.15 5.11 6.27 5.21 6.38 18 .05 .01 2.97 4.07 3.61 4.70 4.00 5.09 4.28 5.38 4.49 5.60 4.67 5.79 4.82 5.94 4.96 6.08 5.07 6.20 5.17 6.31 19 .05 01 2.96 4.05 3.59 4.67 3.98 5.05 4.25 5.33 4.65 5.73 4.79 5.89 4.92 6.02 4.47 5.04 6.14 5.14 6.25 5.55 20 .05 01 2.95 4.02 3.58 4.64 3.96 5.02 4.23 5.29 4.45 5.51 4.62 5.69 4.77 5.84 4.90 5.97 5.01 6.09 5.11 6.19 24 .05 .01 2.92 3.96 3.53 4.55 3.90 4.91 4.37 5.37 4.92 5.92 5.01 6.02 4.17 4.54 5.54 4.68 5.69 4.81 5.81 5.17 30 .05 .01 2.89 3.89 3.49 4.45 3.44 4.37 3.85 4.80 3.79 4.70 4.10 5.05 4.30 5.24 4.46 5.40 4.39 5.26 4.60 5.54 4.52 5.39 4.72 5.65 4.63 5.50 4.82 5.76 4.73 5.60 4.92 5.85 40 .05 .01 2.86 3.82 4.04 4.93 4.23 5.11 4.82 5.69 60 .05 .01 2.83 3.76 3.40 4.28 3.74 4.59 3.98 4.82 4.16 4.99 4.10 4.87 4.03 4.76 4.31 5.13 4.44 5.25 4.55 5.36 4.65 5.45 4.73 5.53 3.36 4.20 3.31 4.12 120 .05 01 .05 .01 2.80 3.70 2.77 3.64 3.68 4.50 3.63 4.40 3.92 424 4.36 4.47 4.56 5.30 4.47 5.16 4.64 4.71 3.86 4.60 5.01 4.17 4.88 5.12 4.29 4.99 5.21 4.39 5.08 5.37 4.55 5.23 4S4S 4S45 451