Question:
The completed ANOVA summary table for Exercise 2 is shown below.
1. Using Table C in your textbook, identify the critical F value for a significance level of .05.
2. Present a statistical decision.
3. Based on your statistical decision, would you say that listening to music had a significant impact on the quality of sleep?
4. Calculate the proportion of explained variance (repeated measures) using formula 17.6 in your textbook.
Transcribed Image Text:
df 4 45 MS 1.33 14.05 13.8578 0.1856 SOURCE Between F 5.32 7.167 Within Subject Error Total 131.40 124.72 36 49 6.68 136.72 Table C CRITICAL VALUES OF F FINDING p-VALUE If observed F is ..smaller than light number, p> .05 ..between light and dark numbers, p< .05 ..larger than dark number, p <.01 terit .05 level of significance (light numbers) .01 level of significance (dark numbers) DEGREES OF FREEDOM IN NUMERATOR DEGREES OF FREEDOM IN DENOMI- NATOR 10 11 12 244 14 16 246 20 248 100 253 6,302 6,323 6,334 6,352 6,361 6,366 24 30 40 50 75 200 500 161 200 241 242 4,052 4,999 5,403 5,625 5,764 5,859 5,928 5,981 6,022 6,056 6,082 6,106 6,142 6,169 6,208 6,234 6,258 6,286 216 225 230 234 237 239 243 245 249 250 251 252 253 254 254 254 19.33 98.49 99.00 99.17 99.25 99.30 99.33 99.34 99.36 99.38 99.40 99.41 18.51 19.00 19.16 19.25 19.30 19.36 19.37 19.38 19.39 19.40 19.41 99.42 99.43 99.44 99.45 99.46 99.47 99.48 19.42 19.43 19.44 19.45 19.46 19.47 19.47 19.48 99.49 19,49 99.49 99.49 99.50 99.50 19.49 19.50 19.50 99.48 9.12 34.12 30.82 29.46 28.71 10.13 9.55 9.28 9.01 8.94 28.24 27.91 8.88 8.74 8.71 27.67 27.49 27.34 27.23 27.13 27.05 26.92 26.83 26.69 26.60 26.50 26.41 8.84 8.81 8.78 8.76 8.69 8.66 8.64 8.62 В. БО 8.58 8.56 8.53 26.35 26.27 26.23 26.18 26.14 23.12 B.57 8.54 8.54 6.59 21.20 18.00 16.69 15.98 15.52 15.21 6.09 14.98 14.80 14.66 14.54 14.45 7.71 6.94 6.39 6.26 6.16 6.04 6.00 5.96 5.93 5.91 14.37 5.87 14.24 5.80 14.15 14.02 13.93 5.84 5.77 5.74 13.83 13.74 5.70 13.69 5.68 13.61 5.66 13.57 5.71 5.65 5.64 5.63 13.52 13.48 13.46 5.19 5.41 16.26 13.27 12.06 11.39 10.97 6.61 5.79 5.05 4.95 4.88 4.82 10.45 10.27 10.15 4,78 4.74 10.05 4.70 9.96 4.68 4.64 4.60 4.56 4.53 4.50 9.38 4.44 4.42 4.46 9.29 4.40 9.13 4.38 9.07 4.37 9.04 4.36 9.02 10.67 9.89 9.77 9.68 9.55 9.47 9.24 9.17 5.99 13.74 10.92 5.14 4.76 4.53 9.15 4.39 8.75 4.28 8.47 4.21 8.26 4.15 4.10 4.06 4.03 4.00 7.72 3.96 7.60 3.92 7.52 3.87 7.39 3.84 7.31 3.81 7.23 3.75 7.09 3.77 3.72 3.71 3.69 3.68 6.90 3.67 6.88 9.78 8.10 7.98 7.87 7.79 7.14 7.02 6.99 6.94 5.59 12.25 3.79 7.00 4.47 4.35 4.12 3.97 7.46 3.87 7.19 3.73 6.84 3.68 6.71 3.63 6.62 3.60 3.57 3.52 6.35 3.49 6.27 3.44 6.15 3.41 6.07 3.38 5.98 3.34 5.90 3.32 5.85 3.29 5.78 3.28 5.75 3.25 5.70 3.24 3.23 9.55 8.45 7.85 6.54 6.47 5.67 5.65 5.32 4.46 8.65 4.07 7.59 3.84 7.01 3.58 6.37 3.69 3.50 6.19 3.44 6.03 3.39 5.91 3.34 5.82 3.31 5.74 3.28 5.67 3.23 5.56 3.20 3.15 3.12 5.28 3.08 5.20 3.05 5.11 3.03 5.06 3.0 5.00 2.98 4.96 2.96 4.91 2.93 4.86 2.94 11.26 6.63 5.48 5.36 4.88 5.12 10.56 4.26 3.86 3.63 6.42 3.48 6.06 3.37 5.80 3.29 5.62 3.23 3.18 3.13 5.26 3.10 5.18 3.07 5.11 3.02 5.00 2.98 4.92 2.93 4.80 2.90 2.86 2.82 2.80 2.77 2.76 2.73 4.36 2.72 4.33 2.71 4.31 8.02 6.99 5.47 5.35 4.73 4.64 4.56 4.51 4.45 4.41 10 4.96 10.04 4.10 7.56 3.71 6.55 3.48 3.33 3.22 3.14 5.21 3.07 5.06 3.02 4.95 2.97 4.85 2.94 4.78 2.91 2.86 2.82 2.77 2.74 4.33 2.70 4.25 2.67 2.64 4.12 2.61 4.05 2.59 2.56 2.55 2.54 5.99 5.64 5.39 4.71 4.60 4.52 4.41 4.17 4.01 3.96 3.93 3.91 11 4.84 3.98 7.20 3.59 6.22 3.36 5.67 3.20 5.32 3.09 5.07 3.01 4.88 2.95 2.90 4.63 2.86 4.54 2.82 4.46 2.79 4.40 2.74 4.29 2.70 4.21 2.65 2.61 2.57 2.53 3.86 2.50 2.47 2.45 2.42 3.66 2.41 3.62 2.40 3.60 9.65 4.74 4.10 4.02 3.94 3.80 3.74 3.70 12 4.75 3.88 6.93 2.54 3.86 3.49 3.26 3.11 3.00 4.82 2.92 4.65 2.85 4.50 2.80 4.39 2.76 2.72 2.69 2.64 4.05 2.60 3.98 2.50 3.78 2.46 3.70 2.40 3.56 2.36 3.49 2.35 3.46 2.31 2.42 2.30 2.32 3.41 9.33 5.95 5.41 5.06 4.30 4.22 4.16 3.61 3.38 3.36 13 4.67 9.07 3.80 6.70 2.72 4.19 3.41 3.18 5.20 2.92 4.62 2.67 4.10 3.02 2.84 2.77 2.63 4.02 2.60 3.96 2.55 3.85 2.51 2.46 2.42 3.59 2.38 3.51 2.34 3.42 2.32 3.37 2.28 3.30 2.26 3.27 2.24 3.21 2.22 3.18 2.21 3.16 5.74 4.86 4.44 4.30 3.78 3.67 EN ni ni ni ni 2+24 2423.
