11.5

Print 9. Find the critical value for a right-tailed test with a = 0.01, degrees of freedom in the numerator = 12, and degrees of freedom in the denominator = 50. Click the icon to view the partial table of critical values of the F-distribution. What is the critical value? (Round to the nearest hundredth as needed.) 1: Critical Values of the F-distribution F-Distribution Critical Values Degrees of Freedom in the Numerator Area in Right Tail 12 15 20 25 30 10 50 60 0.100 2.38 2.34 2.30 2.27 2.25 2.23 2.22 2.21 2.18 0.050 3.07 3.01 2.94 2.89 2.83 2.80 2.79 2.75 0.025 387 3.77 3.67 3.60 3.56 3.51 3.47 3.45 3.30 0.010 5.11 4.96 4.81 4.65 4.57 4.52 4.48 4.40 0.001 0.57 9.24 8.90 8.69 8.55 8.37 8.26 8.19 8.00 0.100 2.28 2.24 2.20 2.17 2.16 2.13 2.12 2.11 2.08 0.050 2.91 2.85 2.77 2.73 2.70 2.66 2.64 2.62 2.58 10 0.025 3.62 3.52 3.42 3.35 3.31 3.26 3.22 3.20 3.14 0.010 4.71 4.56 4.41 4.31 4.25 4.17 4.12 4.08 4.00 0.001 8.45 8.13 7.80 7.60 7.47 7.30 7.19 7.12 6.94 0.100 2.15 2.10 2.06 2.03 2.01 1.99 1.97 1.96 1.93 2.69 2.62 2.54 2.50 2.47 2.43 2.40 2.38 2.34 0.050 12 3.28 3.18 3.01 2.96 2.91 2.87 2.85 2.79 0.010 4.16 4.01 3.86 3.76 3.70 3.62 3.57 3.54 3.45 7.00 6.71 6.40 6.22 5.93 5.83 5.50 0.001 6.09 5.76 0.10 2.02 1.97 1.92 1.89 1.85 1.83 1.82 1.79 2.48 2.33 2.20 2.18 2.16 2.11 0.050 2.40 2.28 2.46 15 0.02 2.96 2.86 2.76 2.59 2.55 2.52 0.010 3.67 3.52 3.37 3.28 3.13 3.08 3.05 2.96 0.00 5.81 5.54 5.25 5.07 4.80 4.70 4.64 4.47 0.100 1.80 1.84 1.79 1.76 1.69 1.68 1.64 0.05 2.20 2.12 2.07 2.04 1.99 1.97 1.95 1.90 20 0.025 2.68 2.57 240 2.35 2.20 2.25 2.22 2.16 0.010 3.23 3.09 2.94 2.84 2.78 2.69 2.64 2.61 2.52 0.001 4.82 4.56 4.29 4.12 4.00 3.86 3.77 3.70 3.54 Degrees of Freedom in the Denominator 0.100 1.82 1.77 1.72 1.68 1.66 1.63 1.59 1.56 2.16 2.09 2.01 1.96 1.92 1.87 1.84 1.82 1.77 0.05 25 0.025 2.41 2.30 2.23 2.18 2.12 2.08 2.05 1.98 0.010 2 09 2.85 2.70 2.54 2.45 2.40 2.36 2.27 0.001 4.31 4.06 3.79 3.63 3.52 3. 37 3.28 3.22 3.06 0.100 1.68 1.63 1.57 1.53 1.50 1.46 1.44 1.42 1.38 0.05 1.95 1.87 1.78 1.69 1.63 1.80 1.60 0.02 2.11 1.99 1.92 1.87 1.75 1.72 1.64 50 0.010 2.56 2.42 2.27 2.17 2.10 2.01 1.91 1.80 3.44 3.20 2.95 2.79 2.68 2.53 2.44 2.38 2.21 0.001 10. Find the critical values of a two-tailed test with a = 0.10, degrees of freedom in the numerator = 15, and degrees of freedom in the denominator = 20. 2 Click the icon to view the partial table of critical values of the F-distribution. What are the left- and right-hand critical values? Left-hand: Right-hand: (Round to the nearest hundredth place as needed.) 2: Critical Values of the F-distribution D F-Distribution Critical Values Degrees of Freedom in the Numerator Area in Right Tail 12 15 20 25 30 40 50 120 0.100 2.38 2.34 2.30 2.27 2.25 2.23 2.22 2.21 3.07 3.01 2.94 2.89 2.86 2.83 2.80 2.79 2.75 0.050 3.67 3.60 3.56 3.51 3.47 3.39 0.025 3.77 0.010 5.11 4.81 4.71 4.65 4.57 4.52 4.48 4.40 0.001 9.57 9.24 8.90 8.69 8.55 8.37 8.26 8.10 8.00 0.100 2.28 2.24 2.20 2.17 2.16 2.13 2.12 2.11 2.08 0.050 2.91 2.85 2.77 2.73 2.70 2.66 2.64 2.62 2.58 10 0.025 3.62 3.52 3.42 3.35 3.31 3.26 3.22 3.20 3.14 4.08 4.00 0.010 4.71 4.56 4.41 4.31 4.25 4.17 4.12 0.001 8.45 8.13 7.80 7.60 7.47 7.30 7.19 7.12 6.94 0.100 2.15 2.10 2.06 2.03 2.01 1.99 .97 1.96 1.93 0.050 2.69 2.62 2.54 2.50 2.47 2.43 2.40 2.38 12 0.025 3.28 3.18 3.07 3.01 2.96 2.91 2.87 2.85 2.79 0.010 4.16 4.01 3.86 3.76 3.70 3.62 3.54 7.00 6.71 6.40 6.22 5.93 5.83 5.76 0.001 0.100 2.02 1.97 1.92 1.89 1.87 1.85 1.83 1.82 1.79 0.050 2.48 2.40 2.33 2.28 2.25 2.18 2.16 0.025 2.96 2.86 2.76 2.69 2.64 2.59 2.55 2.52 2.46 0.010 3.67 3.52 3.37 3.28 3.21 3.13 3.08 3.05 2.96 0.001 581 5.54 5.25 5.07 4.95 4.80 1.70 4.64 0.100 1.89 1.84 1.79 1.76 1.74 .69 1.68 1.64 0.050 2.28 2.20 2.04 1.99 97 1.95 1.90 20 0.025 2.68 2.57 2: 46 240 2.35 2.20 2.25 2.22 2.16 0.010 3.23 3.09 2.94 2.84 2.78 2.69 2.64 2.61 2.52 3.70 3.54 0.001 4.82 4.56 4.29 4.12 4.00 3.86 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 25 0.025 2.51 2.41 2.23 2.18 2 .12 2.08 2.05 0.010 2.99 2.85 2.70 2.60 2.54 2.45 2,40 2.36 2.27 0.001 4.31 4.06 3.79 3.63 3.52 3.37 3.28 3.22 3.06 0.100 .68 1.63 1.57 1.53 1.50 1.46 1.44 1.42 1.38 0.050 1.95 1.87 1.78 1.73 1.69 1.63 1.60 1.58 1.51 2.22 1.99 1.87 1.80 1.75 1.72 1.64 50 0.025 2.11 0.010 2.56 2.42 2.27 2.17 2.10 2.01 1.95 1.91 3.44 3.20 2.95 2.79 2.68 253 2.38 2.21 0.001 2.44 11. Find the critical value for a left-tailed test with a = 0.025, degrees of freedom in the numerator = 25, and degrees of freedom in the denominator = 50. A portion of the table of critical values of the F-distribution is provided. Click the icon to view the partial table of critical values of the F-distribution. What is the critical value? (Round to two decimal places as needed.) 3: Critical Values of the F-distribution F-Distribution Critical Values Degrees of Freedom in the Numerator Area in Right Tail 12 15 20 25 30 40 50 120 0.100 2.38 2.34 2.30 2.27 2.25 2.23 2.22 2.21 2.18 0.050 3.07 3.01 2.94 2.89 2.86 2.83 2.80 2.79 2.75 9 0.025 3.87 3.77 3.67 3.56 3.39 0.010 5.11 4.96 4.81 4.71 4.65 4.57 4.52 4.48 4.40 0.001 9.57 9.24 8.90 8.69 8.55 8.37 8.26 8.19 8.00 0.100 2.28 2.24 2.20 2.17 2.16 2.13 2.12 2.11 0.050 2.91 2.85 2.77 2.73 2.70 2.66 2.64 2.62 WNA 3.20 3.14 10 0.025 3.62 3.52 3.42 3.35 3.31 3.26 3.22 0.010