*20. The data in the accompanying table show the weight of randomly selected packages shipped by delivery companies A, B, and C. a. Perform a one-way ANOVA using = 0.05 to determine if there is a difference in the average package weights shipped by these three delivery companies. b. If warranted, perform a multiple comparison test to determine which pairs are different using = 0.05. Click here to view the data table." Click here to view a table of critical values for the studentized range. a. What are the correct hypotheses for the one-way ANOVA test? OA. Ho: H1 H2 H3 H =3 OC. Ho H =3 H: Not all the means are equal. Complete the ANOVA summary table below. OB. Ho H =3 H: HH3 OD. Ho: Not all the means are equal. H: H1 H2 H3 Source Between Within Total Sum of Squares Degrees of Freedom Mean Sum of Squares F (Type integers or decimals rounded to two decimal places as needed.) Determine the p-value for this test. p-value = (Round to three decimal places as needed.) State the conclusion for = 0.05. Since the p-value is (1). than the level of significance, (2) the null hypothesis and conclude that the average package weight (3). different for these delivery companies. b. Which means are different? The means for (4). are different. 1: Package Weights Package Weights A (1) B (2) C (3) 18.2 12.8 23.3 0.2 20.4 17.5 16.1 17.5 10.7 15.7 5.1 6.2 0.7 11.9 23.6 1: Package Weights A (1) Package Weights B (2) C (3) 18.2 12.8 23.3 0.2 20.4 17.5 16.1 17.5 10.7 15.7 5.1 6.2 0.7 11.9 23.6 18.5 17.9 12.7 2.1 8.5 3.1 8.5 1.9 14.9 Paper size Letter Print 2: Critical Values of the Studentized Range Critical values of the studentized range for = 0.05 D D 2 3 4 5 6 7 8 9 10 D 1 17.97 26.98 38.32 37.08 40.41 43.12 45.40 47.36 49.07 1 2 6.09 8.33 9.80 10.88 11.74 12.44 13.03 13.54 13.99 2 3 4.50 5.91 6.82 7.50 8.04 8.48 8.85 9.18 9.46 3 4 3.93 5.04 5.76 6.29 6.71 7.05 7.35 7.60 7.83 4 5 3.64 4.60 5.22 5.67 6.03 6.33 6.58 6.80 6.99 5 6 3.46 4.34 4.90 5.30 5.63 5.90 6.12 6.32 6.49 6 7 3.34 4.16 4.68 5.06 5.36 5.61 5.82 6.00 6.16 7 8 3.26 4.04 4.53 4.89 5.17 5.40 5.60 5.77 5.92 8 9 3.20 3.95 4.41 4.76 5.02 5.24 5.43 5.59 5.74 9 10 3.15 3.88 4.33 4.65 4.91 5.12 5.30 5.46 5.60 10 11 3.11 3.82 4.26 4.57 4.82 5.03 5.20 5.35 5.49 11 12 3.08 3.77 4.20 4.51 4.75 4.95 5.12 5.27 5.39 12 13 3.06 3.73 4.15 4.45 4.69 4.88 5.05 5.19 5.32 13 14 3.03 3.70 4.11 4.41 4.64 4.83 4.99 5.13 5.25 14 15 3.01 3.67 4.08 4.37 4.59 4.78 4.94 5.08 5.20 15 16 3.00 3.65 4.05 4.33 4.56 4.74 4.90 5.03 5.15 16 17 2.98 3.63 4.02 4.30 4.52 4.70 4.86 4.99 5.11 17 18 2.97 3.61 4.00 4.28 4.49 4.67 4.82 4.96 5.07 18 19 2.96 3.59 3.98 4.25 4.47 4.65 4.79 4.92 5.04 19 20 2.95 3.58 3.96 4.23 4.44 4.62 4.77 4.90 5.01 20 24 2.92 3.53 3.90 4.17 4.37 4.54 4.68 4.81 4.92 24 30 2.89 3.49 3.85 4.10 4.30 4.46 4.60 4.72 4.82 30 40 2.86 3.44 3.79 4.04 4.23 4.36 4.52 4.63 4.73 40 60 2.83 3.40 3.74 3.98 4.16 4.31 4.44 4.55 4.65 60 120 2.80 3.36 3.68 3.92 4.10 4.24 4.36 4.47 4.56 120 00 2.77 3.31 3.63 3.86 4.03 4.17 4.29 4.39 4.47 00 D2 2 3 4 5 6 7 8 9 10 D D Paper size Letter Print (1) greater less (2) do not reject reject (3) is not is (4) 00 O all of the companies companies B and C companies A and B and companies B and C O companies A and C and companies B and C companies A and B and companies A and C none of the companies companies A and C companies A and B