An analysis of variance experiment produced a porticn of the accompanying ANOVA table. Assume normality in the underlying populations. (You may find it useful to reference the Ftable.) [sopicture Click here for the Excel Data File a. Specify the competing hypotheses in order to determine whether some differences exist between the population means. O Ha: Mg = Hp = dr = Mp; Ha: Not all population means are egual. O Ha: Mg = Hg = P = Mp; Ha: Mot all population means are egual. O Ha: ug = s & 14 = -~ [ 2 Mp; Ha: Not all population means are sgqual. b. Fill in the missing statistics in the ANOVA table. (Round "MS" to 4 decimal places and "F' to 3 decimal places.) ANOVA Source of Variation 5 Between Groups 12.66 Within Groups 9154 Total 104.20 c. At the 1% significance level, what is the conclusion to the test? O Do not reject Hy; we cannot conclude that some means differ. O Reject Hg; we can conclude that some means differ. Reject Hg; we cannot conclude that some means differ. Do not reject Hy; we can conclude that some means differ. TABLE 4 F Distribution Entries in this table provide the values of Fa,(afj of) that correspond to a given upper-tail area a and a specified number of degrees of freedom in the numerator of1 and degrees of freedom in the denominator of2. For example, for a = 0.05, off = 8, and of2 = 6. P(F($,6) = 4.15) = 0.05. A left skewed distribution curve with a shaded upper tail area right of F sub alpha(d f 1, d f 2). df 2 8 9 10 15 25 50 100 500 df 2 2 3 4 5 6 7 62.69 63.01 53.26 49.50 53.59 55.83 57.24 58.20 58.91 59.44 59.86 60.19 61.22 62.05 0. 16 39 . 86 241.88 245.95 249. 26 253. 04 254.06 238. 88 240.54 251.77 0.05 161.45 199.50 215.71 224.58 230 . 16 233.99 236.77 963 . 28 968.63 984. 87 998.08 1008 .12 1013.17 1017.24 0.025 647.79 799.50 864.16 899 .58 921 .85 937 . 11 948 . 22 956. 66 6055. 85 6157 .28 6239. 83 6302.52 6334. 11 6359. 50 0. 01 4052. 18 4999.50 5403.35 5624.58 5763.65 5858.99 5928 . 36 5981.07 6022.47 9 .35 9 .37 9.38 9.39 9.4 9.45 9.47 9. 48 9.49 2 0.10 8.53 9.00 9.16 9.24 9 . 29 9 .33 19.43 19 .46 19.48 19.49 19 .49 0 . 05 18.51 19.00 19 .16 19 .25 19 .30 19.33 19 .35 19.37 19 .38 19.40 39 .48 39.49 39.50 38.51 39.00 39.17 39 . 25 39 . 30 39.33 39 . 36 39 .37 39 . 39 39. 40 39.43 39.46 99 . 43 99. 46 99. 48 99. 49 99 . 50 0.025 0.01 98.50 29. 00 99 . 17 99 .25 99 . 30 99 . 33 99 . 36 99 .37 99 . 39 99 .40 5.27 5 . 25 5 .24 5 .23 5 .20 5.17 5.15 5. 14 5.14 5.34 5 .31 5 .28 3 3.10 5 .54 5 .46 5.39 8.89 8 . 85 8.81 8.79 8.70 8.63 3. 58 8.55 8.53 8.94 0 . 05 10.13 9 .55 9. 28 9.12 9.01 14 .62 14.54 14.47 14.42 14.25 14.12 14.01 13.96 13.91 0.025 17.44 16.04 15.44 15.10 14.88 14.73 26.15 30.82 29 .46 28.71 28.24 27.91 27.67 27.49 27.35 27.23 26.87 26.58 26.35 26.24 0.01 34. 12 4.05 4.01 3.98 3.95 3.94 3.92 3.87 3.83 3.80 3.78 3 .76 4.54 4.32 4.19 4.11 5.96 5 .86 5.77 5.70 5 . 66 5.64 0. 10 6.94 6.59 6.39 6.26 6 .16 6.09 6.04 6.00 0.05 7.71 8.38 8.32 8. 27 12 . 22 10.65 9.98 9.60 9 .36 9 .20 9 .07 8.98 8.90 8.84 8.66 8.50 14.55 14.20 13.91 13.69 13.58 13.49 0.025 18.00 15.52 14.98 14.80 14.66 0.01 21. 20 16.69 15.98 15 . 21 3 .37 3 .34 3.32 3.30 3.24 3.19 3.15 3.13 3.11 5 0. 10 4.06 3.78 3.62 3.52 3.45 3.40 4.74 4.62 4.52 4.44 4.41 4.37 0. 05 6.61 5.79 5.41 5 .19 5.05 4.95 4 .88 4.82 4.77 6.08 6.03 8.43 7.76 7.39 7.15 6.98 6.85 6.76 6.68 6.62 6.43 6.27 6.14 0.025 10.01 10.46 .0.29 10.16 10.05 9.72 9.45 9.24 9 . 13 9. 04 0. 01 16.26 13. 27 12.06 11.39 10.97 10.67 2.73 3.46 3.29 3.18 3.11 3.05 3.01 2.98 1.96 2.94 2.87 2.81 2.77 2.75 6 3.10 3.78 4.39 4.28 4. 21 4.15 4.10 4.06 3.94 3.83 3.75 3.71 3 . 68 5.14 4.53 5.27 5.11 4.92 4.86 0. 05 5.99 4.76 4.98 0. 025 8. 81 7.26 6.60 6.23 5.99 5 .82 5.70 5.60 5.52 5.46 8.47 8 .26 8.10 7.98 7.87 7.56 7.30 7.09 6.99 6.90 0.01 13.75 10.92 9 .78 9 .15 8.75 2.70 2.63 2. 48 2.75 2.72 2.57 2.52 2.50 3.10 3 .59 3.26 3.07 2.96 2 . 88 2.83 2.78 4.35 4.12 3.97 3 .87 3.79 3.68 3.64 3.51 3.40 3.32 3.27 3.24 0.05 5.59 4.74 5.29 5 .12 4.99 4.90 4.82 4.76 4.57 4.40 4.28 4. 21 4. 16 5.6 0.025 8.07 6.54 5.89 5.52 9 .55 8.45 7.85 7.46 7.19 6.99 6.84 6.72 6.62 6.31 6.06 5.86 5.75 12. 25 2.35 2.32 2.36 0.01 2.40 3.10 3.46 3.11 2.92 2.81 2.73 2.67 2. 62 2.59 2.56 2.5 2.46 3.69 3.58 3.50 3 .44 3.39 3.35 3.22 3.11 3.02 2.97 2.94 0.05 5.32 4.46 4.07 3 .84 3.94 3.81 3.74 3. 68 0.025 7.57 6.06 5.05 4.82 4.65 4.53 4.43 4.36 4.30 4.10 1.96 4.88 11 . 26 8 . 65 7.59 7.01 6.63 6.37 6.18 6.03 5.91 5 .81 5 .52 5.26 5.07 0.0 2. 19 2.17 3 .36 3.01 2 .81 2.69 2.61 2.55 2.51 .47 2.44 2.42 2 .34 2.27 2.22 9 0.16 3.23 3.14 3.01 2.89 2.80 . 76 2.72 0.0 5.12 4.26 3.86 3.63 3 .48 3.37 3.29 3.18 3.77 3.60 3.47 3.40 3.35 .025 7.21 5.71 5.08 4.72 4.48 4.32 4.20 4.10 4.03 3.96 6.42 6.06 5 .8 5 .61 5.47 5.35 5 .26 4.96 4.71 4.52 4.41 4.33 0.0 10.56 8.02 6.99 2.32 2 .24 2.17 2.12 2. 09 2.06 9. 10 3.29 2.92 2.73 2.61 2.52 2.46 2.41 . 38 2.35 3.14 . 07 3.02 2.98 2.85 2.73 2.64 2.59 2.55 10 0.0 4.96 4.10 3.71 3.48 3.33 3.22 4.24 4.07 3.95 3.85 .78 3.72 3.52 3.35 3.22 3.15 3.09 0. 025 6.94 5.46 4.83 1.47 4.85 4 .56 4.31 4.12 4.01 3.93 10.04 7.56 5.99 5.39 5 .20 .06 4.94 2.01 1.98 0.01 6.55 5.64 2.10 2.04 0. 10 3.23 2. 86 2.66 2.54 2.45 2.39 2.34 2. 30 2.27 2.25 2.17 11 3.20 3.09 3.01 2.95 2.90 2.85 2. 72 2.60 2.51 2.46 2.42 4. 84 3.59 2.90 0.0 3.98 3.36 6.72 5 .26 4.63 4.28 4.04 3.88 3 .76 3 .66 3.59 3.53 3.33 3.16 3.03 2.96 3.025 3.62 7 . 21 6.22 5 .67 5.32 5.07 4.89 4.74 4.63 4.54 4.25 4.01 3.81 3.71 0.01 9 . 65 2.10 2.03 1.97 1.94 1.91 0. 10 3 .18 2. 81 2.61 2.48 2.39 2.33 2 .28 2 . 24 2. 21 2 . 19 2.62 2.50 2.40 2 .35 2. 31 12 0.0 4.75 3 .89 3.49 3.26 3.11 3.00 2.91 . 85 2.80 2.75 3 .89 3.73 3 . 61 .51 3.44 3.37 3 .18 3.01 2.87 2.80 2.74 .025 6.55 5 .10 4.47 4.12 3.57 3.47 3.38 0. 01 9.33 6.93 5.95 5.41 5 .0 4.82 4.64 4.50 4.39 4.30 4.01 3.76 2. 20 . 16 2. 14 2.05 1.98 1.92 1 . 88 1. 8 13 3.10 3.14 2.76 2.56 2.43 2.35 2 . 28 2.23 3.03 2.92 2.83 2.77 2.71 2.67 2.53 2.41 2.31 2. 26 2.22 0.05 4. 67 3 . 81 3.41 3.18 3.25 3.05 2.88 2.74 2. 67 2. 61 0.025 6.41 4.97 4.35 4.00 3.77 3 . 3.48 3.39 3.31 4.10 3.82 3.57 3 . 38 3.27 3. 19 0.01 9.07 6.70 5.74 5.21 4.86 4 . 4.44 4.30 4.19 2. 39 2.31 2 . 2 2 .19 2.15 2.12 2.10 2.01 1.93 1 .87 1 . 83 1.80 2.52 14 0.16 3.10 2. 73\f\f