11.5
Print 12. Find the critical value for a right-tailed F-test with a = 0.05, degrees of freedom in the numerator = 50, and degrees of freedom in the denominator = 15. 4 Click the icon to view the partial table of critical values of the F-distribution. The critical value is Fo.05,50, 15 = .(Round to two decimal places as needed.) 4: Critical Values of the F-distribution F-Distribution Critical Values Degrees of Freedom in the Numerator Area in 120 Right Tail 12 15 24 25 30 40 50 0.100 2.38 2.34 2.30 2.27 2.25 2.23 2.22 2.21 2.18 2.86 2.80 2.79 2.75 0.050 3.07 3.01 2.94 2.89 3.77 3.67 3.60 3.56 3.51 3.47 3.45 3.39 0.025 3.87 4.57 4.52 4.48 4.40 0.010 4.96 4.81 4.71 9.57 9.24 8.90 8.69 8.55 8.37 8.26 8.10 8.00 0.001 0.100 2.28 2.24 2.20 2.17 2.16 2.13 2.12 2.11 2.08 2.91 2.85 2.77 2.73 2.70 2.66 2.64 2.62 0.050 10 0.025 3.62 3.52 3.42 3.35 3.31 3.26 3.22 3.20 3.14 4.25 4.17 4.12 4.08 4.00 0.010 4.71 4.56 4.41 4.31 0.001 8.45 8.13 7.80 7.60 7.47 7.30 7.19 7.12 6.94 2.10 2.03 2.01 .97 1.93 0.100 2.15 2.06 1.99 1.96 0.050 2.69 2.62 2.54 2.50 2.47 2.43 2.40 2.38 2.34 2.91 2.85 12 0.025 3.28 3.18 3.07 3.01 2.96 2.87 3.62 3.54 3.45 0.010 4.16 4.01 3.86 3.76 3.70 3.57 7.00 6.71 6.40 6.22 6.09 5.93 5.83 5.76 5 50 0.001 2.02 1.97 1.92 1.89 1.87 1.85 1.83 1.82 1.79 0.100 2.48 2.40 2.33 2. 28 2.25 0.050 2.20 2.18 2.16 2.52 15 0.025 2.96 2.86 2.76 2.69 2.50 2.55 2:46 3.13 3.08 3.05 2.96 0.010 3.67 3.52 3.37 3.28 3.21 5.54 4.64 4.47 0.001 5.81 5.25 5.07 4.95 4.80 1.70 0.100 1.89 1.84 1.79 1.74 .69 1.68 0.050 2.28 2.20 2.12 2.07 2.04 1.99 1.97 1.95 1.90 20 0.025 2.68 2.57 2:46 2.40 2.35 2.20 2.25 2.22 2.16 3.09 2.94 2.84 2.78 2.69 2.64 2.61 2.52 0.010 3.23 4.56 4.29 4.12 4.00 3.86 3.77 3.70 3.54 0.001 4.82 Degrees of Freedom in the Denominator 0.100 1.82 1.77 1.72 1.68 1.66 1.63 1.61 1.59 1.56 0.050 2.16 2.09 2.01 1.96 1.92 1.87 1.84 1.82 1.77 2.23 2.12 25 2.51 2.41 2.08 2.05 0.025 2.30 2.18 2.27 0.010 2.99 2.85 2.70 2.60 2.54 2.45 2.40 2.36 0.001 4.31 4.06 3.79 3.63 3.52 3.37 3.28 3.06 .68 1.63 1.57 1.53 1.50 1.46 1.44 1.42 1.38 0.100 1.60 1.58 1.51 0.050 1.95 1.87 1.78 1.69 1.63 1.64 50 0.025 2.11 1.99 1.92 1.87 1.80 1.75 1.72 2.56 2.42 2.27 2.17 2.10 2.01 1.95 1.91 1.80 0.010 2.95 253 2.38 2.21 0.001 3.44 3.20 2.79 2.68 2.44 13. Assume that the populations are normally Sample 1 Sample 2 distributed. Test the hypothesis of # 62 at the n 9 3,3 3.3 a = 0.10 level of significance. Click here to view page 1 of the table. Click here to view page 2 of the table. Click here to view page 3 of the table. ' Click here to view page 4 of the table. Write the hypotheses for the test. Ho : ( 1 ) H1 : (2 ) Calculate the test statistic. Fo = (Type an integer or decimal rounded to two decimal places as needed.) Identify the critical region for the current test. Select the correct choice below and fill in all answer boxes within your choice. Round to two decimal places as needed.) OA. FOX OB. FO > OC. FO Should the null hypothesis be rejected? in the critical region. (3) Ho because the test statistic (4) 5: Table of critical values for the F-distribution (page 1) Degrees of Freedom in the Numerator Area in Right Tail 3 59.44 0.100 39.86 49.59 53.59 55.83 57.24 58.20 58.91 215.71 224.58 230.16 233.99 236.77 238.88 0.050 161.45 199.50 64279 899.58 921.85 93711 956.66 0.025 864.16 0.010 4052.20 4909.50 5403.35 5624.58 5763.65 5858.99 5928 36 5981.07 199999.50 540379.20 62499.58 576404.56 58593711 592873.29 598144.16 0.001 9.00 9.16 9.29 9.33 9.35 9.37 0.100 8.53 0 050 18.51 19.00 19.16 19.25 19.30 19 33 19.35 19.37 39.25 39.30 20 33 39.36 39.37 2 0.025 39 51 39.00 00 17 99.25 99.30 00 23 0.010 99.00 198.50 199.0 99.17 799.25 099.30 99.33 199.36 199.37 0.001 5.25 0.100 5.54 5.46 5.39 5.34 5.31 5.28 5.27 0.050 10.13 9.55 9.28 9.12 9.01 8.94 8.89 8.85 16.04 15.44 15.10 14.88 14.73 14.62 14.54 0.025 1744 34.12 30.82 29 46 28.71 28.24 2791 0.010 148.50 32.85 130.62 0.001 37.10 134.58 31.58 6703 1411 4.54 4.32 4.19 4.11 4.05 4.01 3.98 3.95 0.100 6.59 6.39 0.050 9.98 9.60 9.36 9.20 9.07 0.025 12.22 10.65 0.010 21.20 18.00 16.69 15.98 15.52 15.21 14.98 50.53 49.66 49.00 0.001 74.14 61.25 56.18 53 44 51.71 Degrees of Freedom in the Denominator 3.78 3.62 3.52 3.45 3.37 0.100 0.050 5.05 5 0 025 10.01 0.010 16.26 13.27 12.06 11.39 10.97 10.67 10.46 10.29 0.001 4718 3712 33.20 31.09 29.75 78 83 28.16 27.65 3.78 3.46 3.29 3.18 3.11 3.05 3.01 2.98 0.100 0.050 5.99 5.14 4.76 4.53 4.28 4.21 4.15 5.60 0.025 8.81 726 6.60 0.010 13.75 10.92 9.78 9.15 847 8,10 23.70 21.92 20.80 20.03 19.46 19.03 0.001 35.51 2700 2.75 0.100 3.59 3.26 3.07 2.96 2.88 2.83 278 3.97 3.87 3.79 0.050 0.025 6.54 5.29 6.99 0.010 12.25 9.55 8.45 285 14.63 0.001 29.25 21.69 18.77 17.20 16.21 15.52 15.02 3.46 3.11 292 2.81 2.73 2.67 2.62 2.59 0.100 0.050 4.46 4.07 3.69 3.58 3.50 3.44 4.53 4.43 0.025 6.06 4.82 4.65 0.010 6.63 6.37 6.03 12.86 1240 12.05 0.001 25.41 18.49 15.83 13.48 Degrees of Freedom in the Numerator Area in Right Tail 1 2 6 7 : Table of critical values for the F-distribution (page 2)
