Question

Use table C.3 (or B.3 if you are using the 2nd edition) with an α=0.05, the degrees of freedom_between, and degrees of freedom_within to determine the F critical value needed to make a decision regarding the null hypothesis. What is the F critical value? (degrees of freedom_between = 2, degree of within = 12)

Critical Values for the F Distribution TABLE C.3 ues at a .05 level of significance are given in lightface type values at a.01 level of significance are given in boldface type. Critical value Degrees of Freedom Numerator 1161 200 216 225 230 234 237 239 2 242 248 24 4052 5000 5403 5625 5764 5859 5928 5928 6023 6056 98.49 99.00 99.17 99.25 99.30 99.33 99.34 99.36 99.38 99.40 994 34.12 30.92 29.46 28.71 28.24 27.91 27.67 27.49 27.34 27.23 6209 6366 2 18.51 19.00 19.16 19.25 1930 1933 1936 19.37 19.38 1939 19.44 3 10.13 9.55 9.28 9.12 9.01 8.94 888 884 8.81 8.78 4 7.71 6.94 6.59 6.39 6.26 6.16 6.09 6.04 6.00 8.5 26.69 26.1 5.96 580 5.6 21.20 18.00 16.69 15.98 15.52 15.21 14.98 14.80 14.66 14.54 14.02 13.5 5 6.61 5.79 5.41 5.19 5.05 4.95 4.88 4.82 4.78 474 4.56 437 6 5.99 5.14 4.76 4.53 4.39 4.28 421 4.15 4.10 4.06 3.87 3.67 16.26 13.27 12.06 11.39 10.97 10.67 10.45 10.27 10.15 10.05 9.55 13.74 10.92 9.78 9.15 8.75 8.47 8.26 8.10 7.98 7.87 7.39 6.88 7 5.59 4.74 4.35 4.12 3.97 3.87 3.79 3.73 3.68 3.63 3.44 3.23 13.74 9.55 8.45 7.85 7.46 7.19 7.00 6.84 6.71 6.62 6.15 5.65 8 5.32 4.46 4.07 384 3.69 3.58 3.50 3.44 339 3.34 3.15 2.93 11.26 8.65 7.59 7.01 6.63 6.37 6.19 6.03 5.91 5.82 5.36 4.86 9 5.12 4.26 3.86 3.63 3.48 337 3.29 3.23 3.18 3.13 293 2.71 6.42 6.06 5.80 5.62 5.47 5.35 5.26 4.80 4.31 2.54 10.04 7.56 6.55 5.99 5.64 5.39 5.21 5.06 4.95 4.85 4.41 3.91 11 4.84 3.98 3.59 3.36 3.20 3.09 3.01 2.95 2.90 286 265 2.40 10.56 8.02 6.99 10 4.96 4.10 3.71 3.48 3.33 3.22 3.14 307 3.02 2.97 2.77 9.65 7.20 6.22 5.67 5.32 5.07 4.88 4.74 4.63 4.54 4.10 3.60 9.33 6.93 5.95 5.41 5.06 4.82 4.65 4.50 4.39 4.30 3.86 3.36 13 4.67 3.80 3.41 3.18 3.02 2.92 284 2.77 2.72 267 246 2.21 12 4.75 3.89 3.49 3.26 3.11 3.00 292 2.85 2.80 2.76 2.54 2.30 14 460 3.74 3.34 3.11 296 285 2.77 270 2.65 2.60 2.39 2.13 8.86 6.51 5.56 5.03 4.69 4.46 4.28 4.14 4.03 3.94 3.51 3.00 3,29 3.06 2.90 2.79 2.70 264 2.59 2.55 2.33 2.07 5.42 4.89 4.56 4.32 4.14 4.00 3.89 3.80 3.36 2.87 9.07 6.70 5.74 5.20 4.86 4.62 4.44 4.30 4.19 4.10 3.67 3.17 15 4.54 3.68 Continued)

Answer 1

here for given degree of freedom (degrees of freedom_between = 2, degree of within = 12) and 0.05 level ; critical value =3.89