15. The ANOVA summary table for an experiment with five groups, with nine values in each group, is shown to the right. Complete parts (a) through (d) below. Click here to view page 1 of the F table.1 Click here to view page 2 of the F table. Click here to view page 3 of the F table. Click here to view page 4 of the F table.4 a. At the 0.05 level of significance, state the decision rule for testing the null hypothesis that all five groups have equal population means. Determine the hypotheses. Choose the correct answer below. OA. Ho H =H = = H5 H: Not all the means are equal. OC. Ho H-=H5 OB. Ho H1 H = OD. Ho H1 H2==g H: Not all the means are equal. Find the test statistic. F STAT (Round to two decimal places as needed.) Determine the critical value at the 0.05 level of significance F = (Round to two decimal places as needed.) b. What is your statistical decision? (1) Ho. There is (2). evidence to conclude that there is a difference in the population means of the groups. 1: Critical values of F for a significance level 0.05 Critical Values of F For a particular combination of numerator and denominator degrees of freedom, entry represents the critical values of F corresponding to the cumulative probability (1a) and a specified upper-tail area (a). Cumulative Probabilities = 0.95 Upper-Tail Areas -0.05 F = 0.05 Source Among C-1=4 Squares SSA=120 Degrees of Freedom Sum of Mean Square (Variance) MSA=30 F FSTAT = 3.00 groups Within n-c=40 SSW=400 MSW=10 groups Total n-1=44 SST=520 1: Critical values of F for a significance level 0.05 combination of numerator and denominator degrees of freedom, entry represents the critical values of F corresponding to the cumulative probability (1 - a) and a specified upper-tail area (a). Critical Values of F Denominator, 5698 a 22482 Denominator, 1 19.16 9.28 2.53 Cumulative Probabilities = 0.95 Upper-Tail Areas 0.05 Numerator, dfi 6 8 Numerator, df 15 = 0.05 20 20 24 30 40 60 Denominator 22 % 88 8 Paper size Letter Print 2: Critical values of F for a significance level 0.025 Numerator, dfi Critical Values of F combination of numerator and denominator degrees of freedom, entry represents the critical values of F corresponding to the cumulative probability (1 - a) and a specified upper-tail area (a). Cumulative Probabilities = 0.975 Upper-Tail Areas = 0.025 Denominator, 2 864.20 39.17 15.44 9.98 9.60 14.88 9.36 5698 a 22482 Denominator, 1 = 0.025 39.41 39.48 8.31 963.30 968.60 976.70 6 Numerator, dfi 4.20 12 15 20 24 30 3.14 3.08 Denominator 83 Paper size Letter Print 22 % 88 8 3: Critical values of F for a significance level 0.01 Critical Values of P combination of numerator and denominator deg of freedom, entry represents the critical values of F corresponding to the cumulative probability (1 - a) and a specified upper-tail area (c).s Cumulative Probabilities = 0.99 Upper-Tail Areas = 0.01 Numerator, dfi = 0.01 Denominator 120 Denominator, 2 052.0 98.50 34.12 999.50 5.403.00 99.17 29 46 5,625.00 5,764.00 5,859.00 5,928.00 99.30 99.33 99.36 28.71 28.24 27.91 27.23 21.20 18.00 16.69 5698 a 15.98 15.52 10.97 15.21 14.98 14.80 14.66 14.55 14.37 13.75 13.65 13.56 212 224828 Denominator, 3 4.02 3.70 3.47 3.30 3.83 3.51 3.00 3.34 3.12 337 3.02 2.80 8 Numerator, dfi 2.03 20 24 30 Paper size Letter 4: Critical values of F for a significance level 0.005 Critical Values of F For a particular combination of numerator and denominator degrees of freedom, entry represents the critical values of F corresponding to the cumulative probability (1a) and a specified upper-tail area (a). Cumulative Probabilities = 0.995 Upper-Tail Areas = 0.005 Numerator, dj Denominator, = 0.005 198.50 55 55 199.20 199.30 49.80 199.30 45.39 44.84 199.40 44.13 43.88 21.35 22.78 18.31 14.51 14.20 13.96 13.77 12.27 Denominator 1) Do not reject (2) O sufficient Numerator, dfi 20 4.34 4.01 Denominator, 2.50 2.45 56989 1.83 8 Paper size Letter 2224828 Denominator Denominator, 1 3 7 8 df (1) O Do not reject Reject (2) sufficient insufficient 10 12 15 20 24 30 40 60 120 00 Denominator, df2 Numerator, dfi