14. An experiment has a single factor with six groups and four values in each group. In determining the among-group variation, there are 5 degrees of freedom. In determining the within-group variation, there are 18 degrees of freedom. In determining the total variation, there are 23 degrees of freedom. Also, note that SSA = 40, SSW = 72, SST = 112, MSA = 8, MSW = 4, and FSTAT = 2. Complete parts (a) through (d). Click here to view page 1 of the F table. 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. Construct the ANOVA summary table and fill in all values in the table. Source Degrees of Freedom Sum of Squares Among groups Within groups Mean Square (Variance) F Total (Your answers above must all be integers.) b. At the 0.005 level of significance, what is the upper-tail critical value from the F distribution? F0.005= (Round to two decimal places as needed.) c. State the decision rule for testing the null hypothesis that all six groups have equal population means. Reject Ho if (1) d. What is your statistical decision? Since FSTAT is (2) than the upper-tail critical value, (3) Ho. There is (4) evidence to conclude there is a difference in the population means for the six 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 Numerator, dfi = 0.05 Denominator, Denominator, df 1 2 3 5 7 8 9 10 12 15 20 24 30 60 120 df 1 2 18.51 19.16 19.25 19.30 161.40 199.50 215.70 224.60 230.20 234.00 236.80 238.90 240.50 241.90 243.90 19.00 245.90 248.00 249.10 250.10 251.10 252.20 253.30 254.30 1 19.33 19.35 19.37 19.38 19.40 19.41 19.43 19.45 19.45 19.46 19.47 19.48 19.49 19.50 2 3 10.13 9.55 9.28 9.12 9.01 8.94 8.89 8.85 8.81 8.79 8.74 8.70 8.66 8.64 8.62 8.59 8.57 8.55 8.53 3 4 7.71 6.59 6.26 6.16 6.09 6.04 5.96 5.91 5.86 5.80 5.77 5.75 5.72 5.69 5.66 5.63 4 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 Numerator, df Denominator 101.40 224.60 9.28 659 Numerator, dfi Critical values of F for a significance level 0.025 = 0.05 Denominator, 1.80 1.79 1.75 1.73 1.67 1.35 8 888888 Denominato Critical values of F for a significance level 0.025 Critical Values of F For a particular combination of numerator and denominator degrees of freedom, entry represents the critical values F corresponding to the cumulative probability (1 - a) and a specified upper-tail area (a). Denominator 5698 a Denominator 2 Cumulative Probabilities = 0.975 Upper-Tail Areas = 0.025 Numerator, dfi 10 6 8 10 12 15 20 24 Numerator, dfi = 0.025 1.82 1.67 1.58 69 Denominator 120 120 8 2 2 9 8 8 8 Paper size Letter Denominator, 3: Critical values of F for a significance level 0.01 Critical Values of F ombination of numerator and denomin 1, entry represents the critical values of F corresponding to the cumulative probability (1 - a) and a specified upper-tail area (ents Cumulative Probabilities = 0.99 Upper-Tail Areas 0.01 Numerator, Denominator, 5.403.00 18.00 16.26 4 5,625.00 5,764.00 99.25 99.30 29.46 28.71 28.24 16.69 15.98 15.52 12.06 11.39 10.97 5 5.859.00 27.91 27.49 27.35 15.21 14.98 14.80 14.66 14.55 14.37 10.29 10.16 Denominator, 4.51 337 3.73 3.70 3.51 3.34 6 Numerator, dfi 2.12 2.09 x = 0.01 =S 12 15 20 30 40 60 120 Denominator 8 234567x9= 888 4 8 8 8 Denominator 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 (1 - a) and a specified upper-tail area (a). Cumulative Probabilities = 0.995 Denominator, 1 2 4 5 6 5,211.00 1,615.00 2,500.00 23,056.00 23,437.00 23,715.0 26 28 22.46 14.94 Upper-Tail Areas =0.005 Numerator, dfi 21 14 = 0.005 Denominator, 10 12 24,224.00 24,426.0 4,630.00 24,836.00 15 120 Numerator, dj 5353 354 7.31 7.19 * 08532 24828 Paper size Letter Print (1) OFSTAT 12.98. O 12.98