Tabela de distribuições

Table A.1: Limite unilateral da cauda direita da distribuição F de Fisher-Snedecor, 0,01 de probabilidade de erro.
GL2
GL1 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 20 25 30
1 4052.181 4999.500 5403.352 5624.583 5763.650 5858.986 5928.356 5981.070 6022.473 6055.847 6083.317 6106.321 6125.865 6142.674 6157.285 6208.730 6239.825 6260.649
2 98.503 99.000 99.166 99.249 99.299 99.333 99.356 99.374 99.388 99.399 99.408 99.416 99.422 99.428 99.433 99.449 99.459 99.466
3 34.116 30.817 29.457 28.710 28.237 27.911 27.672 27.489 27.345 27.229 27.133 27.052 26.983 26.924 26.872 26.690 26.579 26.505
4 21.198 18.000 16.694 15.977 15.522 15.207 14.976 14.799 14.659 14.546 14.452 14.374 14.307 14.249 14.198 14.020 13.911 13.838
5 16.258 13.274 12.060 11.392 10.967 10.672 10.456 10.289 10.158 10.051 9.963 9.888 9.825 9.770 9.722 9.553 9.449 9.379
6 13.745 10.925 9.780 9.148 8.746 8.466 8.260 8.102 7.976 7.874 7.790 7.718 7.657 7.605 7.559 7.396 7.296 7.229
7 12.246 9.547 8.451 7.847 7.460 7.191 6.993 6.840 6.719 6.620 6.538 6.469 6.410 6.359 6.314 6.155 6.058 5.992
8 11.259 8.649 7.591 7.006 6.632 6.371 6.178 6.029 5.911 5.814 5.734 5.667 5.609 5.559 5.515 5.359 5.263 5.198
9 10.561 8.022 6.992 6.422 6.057 5.802 5.613 5.467 5.351 5.257 5.178 5.111 5.055 5.005 4.962 4.808 4.713 4.649
10 10.044 7.559 6.552 5.994 5.636 5.386 5.200 5.057 4.942 4.849 4.772 4.706 4.650 4.601 4.558 4.405 4.311 4.247
11 9.646 7.206 6.217 5.668 5.316 5.069 4.886 4.744 4.632 4.539 4.462 4.397 4.342 4.293 4.251 4.099 4.005 3.941
12 9.330 6.927 5.953 5.412 5.064 4.821 4.640 4.499 4.388 4.296 4.220 4.155 4.100 4.052 4.010 3.858 3.765 3.701
13 9.074 6.701 5.739 5.205 4.862 4.620 4.441 4.302 4.191 4.100 4.025 3.960 3.905 3.857 3.815 3.665 3.571 3.507
14 8.862 6.515 5.564 5.035 4.695 4.456 4.278 4.140 4.030 3.939 3.864 3.800 3.745 3.698 3.656 3.505 3.412 3.348
15 8.683 6.359 5.417 4.893 4.556 4.318 4.142 4.004 3.895 3.805 3.730 3.666 3.612 3.564 3.522 3.372 3.278 3.214
16 8.531 6.226 5.292 4.773 4.437 4.202 4.026 3.890 3.780 3.691 3.616 3.553 3.498 3.451 3.409 3.259 3.165 3.101
17 8.400 6.112 5.185 4.669 4.336 4.102 3.927 3.791 3.682 3.593 3.519 3.455 3.401 3.353 3.312 3.162 3.068 3.003
18 8.285 6.013 5.092 4.579 4.248 4.015 3.841 3.705 3.597 3.508 3.434 3.371 3.316 3.269 3.227 3.077 2.983 2.919
19 8.185 5.926 5.010 4.500 4.171 3.939 3.765 3.631 3.523 3.434 3.360 3.297 3.242 3.195 3.153 3.003 2.909 2.844
20 8.096 5.849 4.938 4.431 4.103 3.871 3.699 3.564 3.457 3.368 3.294 3.231 3.177 3.130 3.088 2.938 2.843 2.778
21 8.017 5.780 4.874 4.369 4.042 3.812 3.640 3.506 3.398 3.310 3.236 3.173 3.119 3.072 3.030 2.880 2.785 2.720
22 7.945 5.719 4.817 4.313 3.988 3.758 3.587 3.453 3.346 3.258 3.184 3.121 3.067 3.019 2.978 2.827 2.733 2.667
23 7.881 5.664 4.765 4.264 3.939 3.710 3.539 3.406 3.299 3.211 3.137 3.074 3.020 2.973 2.931 2.781 2.686 2.620
24 7.823 5.614 4.718 4.218 3.895 3.667 3.496 3.363 3.256 3.168 3.094 3.032 2.977 2.930 2.889 2.738 2.643 2.577
25 7.770 5.568 4.675 4.177 3.855 3.627 3.457 3.324 3.217 3.129 3.056 2.993 2.939 2.892 2.850 2.699 2.604 2.538
26 7.721 5.526 4.637 4.140 3.818 3.591 3.421 3.288 3.182 3.094 3.021 2.958 2.904 2.857 2.815 2.664 2.569 2.503
27 7.677 5.488 4.601 4.106 3.785 3.558 3.388 3.256 3.149 3.062 2.988 2.926 2.871 2.824 2.783 2.632 2.536 2.470
28 7.636 5.453 4.568 4.074 3.754 3.528 3.358 3.226 3.120 3.032 2.959 2.896 2.842 2.795 2.753 2.602 2.506 2.440
29 7.598 5.420 4.538 4.045 3.725 3.499 3.330 3.198 3.092 3.005 2.931 2.868 2.814 2.767 2.726 2.574 2.478 2.412
30 7.562 5.390 4.510 4.018 3.699 3.473 3.304 3.173 3.067 2.979 2.906 2.843 2.789 2.742 2.700 2.549 2.453 2.386
31 7.530 5.362 4.484 3.993 3.675 3.449 3.281 3.149 3.043 2.955 2.882 2.820 2.765 2.718 2.677 2.525 2.429 2.362
32 7.499 5.336 4.459 3.969 3.652 3.427 3.258 3.127 3.021 2.934 2.860 2.798 2.744 2.696 2.655 2.503 2.406 2.340
33 7.471 5.312 4.437 3.948 3.630 3.406 3.238 3.106 3.000 2.913 2.840 2.777 2.723 2.676 2.634 2.482 2.386 2.319
34 7.444 5.289 4.416 3.927 3.611 3.386 3.218 3.087 2.981 2.894 2.821 2.758 2.704 2.657 2.615 2.463 2.366 2.299
35 7.419 5.268 4.396 3.908 3.592 3.368 3.200 3.069 2.963 2.876 2.803 2.740 2.686 2.639 2.597 2.445 2.348 2.281
36 7.396 5.248 4.377 3.890 3.574 3.351 3.183 3.052 2.946 2.859 2.786 2.723 2.669 2.622 2.580 2.428 2.331 2.263
37 7.373 5.229 4.360 3.873 3.558 3.334 3.167 3.036 2.930 2.843 2.770 2.707 2.653 2.606 2.564 2.412 2.315 2.247
38 7.353 5.211 4.343 3.858 3.542 3.319 3.152 3.021 2.915 2.828 2.755 2.692 2.638 2.591 2.549 2.397 2.299 2.232
39 7.333 5.194 4.327 3.843 3.528 3.305 3.137 3.006 2.901 2.814 2.741 2.678 2.624 2.577 2.535 2.382 2.285 2.217
40 7.314 5.179 4.313 3.828 3.514 3.291 3.124 2.993 2.888 2.801 2.727 2.665 2.611 2.563 2.522 2.369 2.271 2.203
45 7.234 5.110 4.249 3.767 3.454 3.232 3.066 2.935 2.830 2.743 2.670 2.608 2.553 2.506 2.464 2.311 2.213 2.144
50 7.171 5.057 4.199 3.720 3.408 3.186 3.020 2.890 2.785 2.698 2.625 2.562 2.508 2.461 2.419 2.265 2.167 2.098
55 7.119 5.013 4.159 3.681 3.370 3.149 2.983 2.853 2.748 2.662 2.589 2.526 2.472 2.424 2.382 2.228 2.129 2.060
60 7.077 4.977 4.126 3.649 3.339 3.119 2.953 2.823 2.718 2.632 2.559 2.496 2.442 2.394 2.352 2.198 2.098 2.028
65 7.042 4.947 4.098 3.622 3.313 3.093 2.928 2.798 2.693 2.607 2.534 2.471 2.417 2.369 2.327 2.172 2.072 2.002
70 7.011 4.922 4.074 3.600 3.291 3.071 2.906 2.777 2.672 2.585 2.512 2.450 2.395 2.348 2.306 2.150 2.050 1.980
75 6.985 4.900 4.054 3.580 3.272 3.052 2.887 2.758 2.653 2.567 2.494 2.431 2.377 2.329 2.287 2.132 2.031 1.960
80 6.963 4.881 4.036 3.563 3.255 3.036 2.871 2.742 2.637 2.551 2.478 2.415 2.361 2.313 2.271 2.115 2.015 1.944
85 6.943 4.864 4.021 3.548 3.240 3.022 2.857 2.728 2.623 2.537 2.464 2.401 2.347 2.299 2.257 2.101 2.000 1.929
90 6.925 4.849 4.007 3.535 3.228 3.009 2.845 2.715 2.611 2.524 2.451 2.389 2.334 2.286 2.244 2.088 1.987 1.916
95 6.909 4.836 3.995 3.523 3.216 2.998 2.833 2.704 2.600 2.513 2.440 2.378 2.323 2.275 2.233 2.077 1.976 1.904
100 6.895 4.824 3.984 3.513 3.206 2.988 2.823 2.694 2.590 2.503 2.430 2.368 2.313 2.265 2.223 2.067 1.965 1.893
110 6.871 4.803 3.965 3.495 3.188 2.970 2.806 2.677 2.573 2.486 2.413 2.350 2.296 2.248 2.206 2.049 1.947 1.875
120 6.851 4.787 3.949 3.480 3.174 2.956 2.792 2.663 2.559 2.472 2.399 2.336 2.282 2.234 2.192 2.035 1.932 1.860
130 6.834 4.772 3.936 3.467 3.161 2.944 2.780 2.651 2.547 2.460 2.387 2.324 2.270 2.222 2.179 2.022 1.920 1.847
140 6.819 4.760 3.925 3.456 3.151 2.933 2.769 2.641 2.536 2.450 2.377 2.314 2.260 2.212 2.169 2.012 1.909 1.836
150 6.807 4.749 3.915 3.447 3.142 2.924 2.761 2.632 2.528 2.441 2.368 2.305 2.251 2.203 2.160 2.003 1.900 1.827
160 6.796 4.740 3.906 3.439 3.134 2.917 2.753 2.624 2.520 2.434 2.360 2.298 2.243 2.195 2.153 1.995 1.892 1.819
170 6.786 4.732 3.899 3.431 3.127 2.910 2.746 2.617 2.513 2.427 2.354 2.291 2.236 2.188 2.146 1.988 1.885 1.811
180 6.778 4.725 3.892 3.425 3.120 2.904 2.740 2.611 2.507 2.421 2.348 2.285 2.230 2.182 2.140 1.982 1.879 1.805
190 6.770 4.719 3.886 3.419 3.115 2.898 2.735 2.606 2.502 2.415 2.342 2.280 2.225 2.177 2.134 1.976 1.873 1.799
200 6.763 4.713 3.881 3.414 3.110 2.893 2.730 2.601 2.497 2.411 2.338 2.275 2.220 2.172 2.129 1.971 1.868 1.794
250 6.737 4.691 3.861 3.395 3.091 2.875 2.711 2.583 2.479 2.392 2.319 2.257 2.202 2.154 2.111 1.953 1.849 1.774
300 6.720 4.677 3.848 3.382 3.079 2.862 2.699 2.571 2.467 2.380 2.307 2.244 2.190 2.142 2.099 1.940 1.836 1.761
350 6.708 4.666 3.838 3.373 3.070 2.854 2.691 2.562 2.458 2.372 2.299 2.236 2.181 2.133 2.090 1.931 1.827 1.752
400 6.699 4.659 3.831 3.366 3.063 2.847 2.684 2.556 2.452 2.365 2.292 2.229 2.175 2.126 2.084 1.925 1.820 1.745
Table A.2: Limite unilateral da cauda direita da distribuição F de Fisher-Snedecor, 0,05 de probabilidade de erro.
GL2
GL1 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 20 25 30
1 161.448 199.500 215.707 224.583 230.162 233.986 236.768 238.883 240.543 241.882 242.983 243.906 244.690 245.364 245.950 248.013 249.260 250.095
2 18.513 19.000 19.164 19.247 19.296 19.330 19.353 19.371 19.385 19.396 19.405 19.413 19.419 19.424 19.429 19.446 19.456 19.462
3 10.128 9.552 9.277 9.117 9.013 8.941 8.887 8.845 8.812 8.786 8.763 8.745 8.729 8.715 8.703 8.660 8.634 8.617
4 7.709 6.944 6.591 6.388 6.256 6.163 6.094 6.041 5.999 5.964 5.936 5.912 5.891 5.873 5.858 5.803 5.769 5.746
5 6.608 5.786 5.409 5.192 5.050 4.950 4.876 4.818 4.772 4.735 4.704 4.678 4.655 4.636 4.619 4.558 4.521 4.496
6 5.987 5.143 4.757 4.534 4.387 4.284 4.207 4.147 4.099 4.060 4.027 4.000 3.976 3.956 3.938 3.874 3.835 3.808
7 5.591 4.737 4.347 4.120 3.972 3.866 3.787 3.726 3.677 3.637 3.603 3.575 3.550 3.529 3.511 3.445 3.404 3.376
8 5.318 4.459 4.066 3.838 3.687 3.581 3.500 3.438 3.388 3.347 3.313 3.284 3.259 3.237 3.218 3.150 3.108 3.079
9 5.117 4.256 3.863 3.633 3.482 3.374 3.293 3.230 3.179 3.137 3.102 3.073 3.048 3.025 3.006 2.936 2.893 2.864
10 4.965 4.103 3.708 3.478 3.326 3.217 3.135 3.072 3.020 2.978 2.943 2.913 2.887 2.865 2.845 2.774 2.730 2.700
11 4.844 3.982 3.587 3.357 3.204 3.095 3.012 2.948 2.896 2.854 2.818 2.788 2.761 2.739 2.719 2.646 2.601 2.570
12 4.747 3.885 3.490 3.259 3.106 2.996 2.913 2.849 2.796 2.753 2.717 2.687 2.660 2.637 2.617 2.544 2.498 2.466
13 4.667 3.806 3.411 3.179 3.025 2.915 2.832 2.767 2.714 2.671 2.635 2.604 2.577 2.554 2.533 2.459 2.412 2.380
14 4.600 3.739 3.344 3.112 2.958 2.848 2.764 2.699 2.646 2.602 2.565 2.534 2.507 2.484 2.463 2.388 2.341 2.308
15 4.543 3.682 3.287 3.056 2.901 2.790 2.707 2.641 2.588 2.544 2.507 2.475 2.448 2.424 2.403 2.328 2.280 2.247
16 4.494 3.634 3.239 3.007 2.852 2.741 2.657 2.591 2.538 2.494 2.456 2.425 2.397 2.373 2.352 2.276 2.227 2.194
17 4.451 3.592 3.197 2.965 2.810 2.699 2.614 2.548 2.494 2.450 2.413 2.381 2.353 2.329 2.308 2.230 2.181 2.148
18 4.414 3.555 3.160 2.928 2.773 2.661 2.577 2.510 2.456 2.412 2.374 2.342 2.314 2.290 2.269 2.191 2.141 2.107
19 4.381 3.522 3.127 2.895 2.740 2.628 2.544 2.477 2.423 2.378 2.340 2.308 2.280 2.256 2.234 2.155 2.106 2.071
20 4.351 3.493 3.098 2.866 2.711 2.599 2.514 2.447 2.393 2.348 2.310 2.278 2.250 2.225 2.203 2.124 2.074 2.039
21 4.325 3.467 3.072 2.840 2.685 2.573 2.488 2.420 2.366 2.321 2.283 2.250 2.222 2.197 2.176 2.096 2.045 2.010
22 4.301 3.443 3.049 2.817 2.661 2.549 2.464 2.397 2.342 2.297 2.259 2.226 2.198 2.173 2.151 2.071 2.020 1.984
23 4.279 3.422 3.028 2.796 2.640 2.528 2.442 2.375 2.320 2.275 2.236 2.204 2.175 2.150 2.128 2.048 1.996 1.961
24 4.260 3.403 3.009 2.776 2.621 2.508 2.423 2.355 2.300 2.255 2.216 2.183 2.155 2.130 2.108 2.027 1.975 1.939
25 4.242 3.385 2.991 2.759 2.603 2.490 2.405 2.337 2.282 2.236 2.198 2.165 2.136 2.111 2.089 2.007 1.955 1.919
26 4.225 3.369 2.975 2.743 2.587 2.474 2.388 2.321 2.265 2.220 2.181 2.148 2.119 2.094 2.072 1.990 1.938 1.901
27 4.210 3.354 2.960 2.728 2.572 2.459 2.373 2.305 2.250 2.204 2.166 2.132 2.103 2.078 2.056 1.974 1.921 1.884
28 4.196 3.340 2.947 2.714 2.558 2.445 2.359 2.291 2.236 2.190 2.151 2.118 2.089 2.064 2.041 1.959 1.906 1.869
29 4.183 3.328 2.934 2.701 2.545 2.432 2.346 2.278 2.223 2.177 2.138 2.104 2.075 2.050 2.027 1.945 1.891 1.854
30 4.171 3.316 2.922 2.690 2.534 2.421 2.334 2.266 2.211 2.165 2.126 2.092 2.063 2.037 2.015 1.932 1.878 1.841
31 4.160 3.305 2.911 2.679 2.523 2.409 2.323 2.255 2.199 2.153 2.114 2.080 2.051 2.026 2.003 1.920 1.866 1.828
32 4.149 3.295 2.901 2.668 2.512 2.399 2.313 2.244 2.189 2.142 2.103 2.070 2.040 2.015 1.992 1.908 1.854 1.817
33 4.139 3.285 2.892 2.659 2.503 2.389 2.303 2.235 2.179 2.133 2.093 2.060 2.030 2.004 1.982 1.898 1.844 1.806
34 4.130 3.276 2.883 2.650 2.494 2.380 2.294 2.225 2.170 2.123 2.084 2.050 2.021 1.995 1.972 1.888 1.833 1.795
35 4.121 3.267 2.874 2.641 2.485 2.372 2.285 2.217 2.161 2.114 2.075 2.041 2.012 1.986 1.963 1.878 1.824 1.786
36 4.113 3.259 2.866 2.634 2.477 2.364 2.277 2.209 2.153 2.106 2.067 2.033 2.003 1.977 1.954 1.870 1.815 1.776
37 4.105 3.252 2.859 2.626 2.470 2.356 2.270 2.201 2.145 2.098 2.059 2.025 1.995 1.969 1.946 1.861 1.806 1.768
38 4.098 3.245 2.852 2.619 2.463 2.349 2.262 2.194 2.138 2.091 2.051 2.017 1.988 1.962 1.939 1.853 1.798 1.760
39 4.091 3.238 2.845 2.612 2.456 2.342 2.255 2.187 2.131 2.084 2.044 2.010 1.981 1.954 1.931 1.846 1.791 1.752
40 4.085 3.232 2.839 2.606 2.449 2.336 2.249 2.180 2.124 2.077 2.038 2.003 1.974 1.948 1.924 1.839 1.783 1.744
45 4.057 3.204 2.812 2.579 2.422 2.308 2.221 2.152 2.096 2.049 2.009 1.974 1.945 1.918 1.895 1.808 1.752 1.713
50 4.034 3.183 2.790 2.557 2.400 2.286 2.199 2.130 2.073 2.026 1.986 1.952 1.921 1.895 1.871 1.784 1.727 1.687
55 4.016 3.165 2.773 2.540 2.383 2.269 2.181 2.112 2.055 2.008 1.968 1.933 1.903 1.876 1.852 1.764 1.707 1.666
60 4.001 3.150 2.758 2.525 2.368 2.254 2.167 2.097 2.040 1.993 1.952 1.917 1.887 1.860 1.836 1.748 1.690 1.649
65 3.989 3.138 2.746 2.513 2.356 2.242 2.154 2.084 2.027 1.980 1.939 1.904 1.874 1.847 1.823 1.734 1.676 1.635
70 3.978 3.128 2.736 2.503 2.346 2.231 2.143 2.074 2.017 1.969 1.928 1.893 1.863 1.836 1.812 1.722 1.664 1.622
75 3.968 3.119 2.727 2.494 2.337 2.222 2.134 2.064 2.007 1.959 1.919 1.884 1.853 1.826 1.802 1.712 1.653 1.611
80 3.960 3.111 2.719 2.486 2.329 2.214 2.126 2.056 1.999 1.951 1.910 1.875 1.845 1.817 1.793 1.703 1.644 1.602
85 3.953 3.104 2.712 2.479 2.322 2.207 2.119 2.049 1.992 1.944 1.903 1.868 1.837 1.810 1.786 1.695 1.636 1.593
90 3.947 3.098 2.706 2.473 2.316 2.201 2.113 2.043 1.986 1.938 1.897 1.861 1.830 1.803 1.779 1.688 1.629 1.586
95 3.941 3.092 2.700 2.467 2.310 2.196 2.108 2.037 1.980 1.932 1.891 1.856 1.825 1.797 1.773 1.682 1.622 1.579
100 3.936 3.087 2.696 2.463 2.305 2.191 2.103 2.032 1.975 1.927 1.886 1.850 1.819 1.792 1.768 1.676 1.616 1.573
110 3.927 3.079 2.687 2.454 2.297 2.182 2.094 2.024 1.966 1.918 1.877 1.841 1.810 1.783 1.758 1.667 1.606 1.563
120 3.920 3.072 2.680 2.447 2.290 2.175 2.087 2.016 1.959 1.910 1.869 1.834 1.803 1.775 1.750 1.659 1.598 1.554
130 3.914 3.066 2.674 2.441 2.284 2.169 2.081 2.010 1.953 1.904 1.863 1.827 1.796 1.769 1.744 1.652 1.591 1.547
140 3.909 3.061 2.669 2.436 2.279 2.164 2.076 2.005 1.947 1.899 1.858 1.822 1.791 1.763 1.738 1.646 1.585 1.541
150 3.904 3.056 2.665 2.432 2.274 2.160 2.071 2.001 1.943 1.894 1.853 1.817 1.786 1.758 1.734 1.641 1.580 1.535
160 3.900 3.053 2.661 2.428 2.271 2.156 2.067 1.997 1.939 1.890 1.849 1.813 1.782 1.754 1.729 1.637 1.575 1.531
170 3.897 3.049 2.658 2.425 2.267 2.152 2.064 1.993 1.935 1.887 1.845 1.810 1.778 1.750 1.726 1.633 1.571 1.526
180 3.894 3.046 2.655 2.422 2.264 2.149 2.061 1.990 1.932 1.884 1.842 1.806 1.775 1.747 1.722 1.629 1.567 1.523
190 3.891 3.043 2.652 2.419 2.262 2.147 2.058 1.987 1.929 1.881 1.839 1.803 1.772 1.744 1.719 1.626 1.564 1.519
200 3.888 3.041 2.650 2.417 2.259 2.144 2.056 1.985 1.927 1.878 1.837 1.801 1.769 1.742 1.717 1.623 1.561 1.516
250 3.879 3.032 2.641 2.408 2.250 2.135 2.046 1.976 1.917 1.869 1.827 1.791 1.759 1.732 1.707 1.613 1.550 1.505
300 3.873 3.026 2.635 2.402 2.244 2.129 2.040 1.969 1.911 1.862 1.821 1.785 1.753 1.725 1.700 1.606 1.543 1.497
350 3.868 3.022 2.630 2.397 2.240 2.125 2.036 1.965 1.907 1.858 1.816 1.780 1.748 1.720 1.695 1.601 1.538 1.492
400 3.865 3.018 2.627 2.394 2.237 2.121 2.032 1.962 1.903 1.854 1.813 1.776 1.745 1.717 1.691 1.597 1.534 1.488
Table A.3: Valores da estatística q para teste de Tukey
GL Erro Alfa 2 3 4 5 6 7 8 9 10
5 0.05 3.64 4.60 5.22 5.67 6.03 6.33 6.58 6.80 6.99
0.01 5.70 6.98 7.80 8.42 8.91 9.32 9.67 9.97 10.24
6 0.05 3.46 4.34 4.90 5.30 5.63 5.90 6.12 6.32 6.49
0.01 5.24 6.33 7.03 7.56 7.97 8.32 8.61 8.87 9.10
7 0.05 3.34 4.16 4.68 5.06 5.36 5.61 5.82 6.00 6.16
0.01 4.95 5.92 6.54 7.01 7.37 7.68 7.94 8.17 8.37
8 0.05 3.26 4.04 4.53 4.89 5.17 5.40 5.60 5.77 5.92
0.01 4.75 5.64 6.20 6.62 6.96 7.24 7.47 7.68 7.86
9 0.05 3.20 3.95 4.41 4.76 5.02 5.24 5.43 5.59 5.74
0.01 4.60 5.43 5.96 6.35 6.66 6.91 7.13 7.33 7.49
10 0.05 3.15 3.88 4.33 4.65 4.91 5.12 5.30 5.46 5.60
0.01 4.48 5.27 5.77 6.14 6.43 6.67 6.87 7.05 7.21
11 0.05 3.11 3.82 4.26 4.57 4.82 5.03 5.20 5.35 5.49
0.01 4.39 5.15 5.62 5.97 6.25 6.48 6.67 6.84 6.99
12 0.05 3.08 3.77 4.20 4.51 4.75 4.95 5.12 5.27 5.39
0.01 4.32 5.05 5.50 5.84 6.10 6.32 6.51 6.67 6.81
13 0.05 3.06 3.73 4.15 4.45 4.69 4.88 5.05 5.19 5.32
0.01 4.26 4.96 5.40 5.73 5.98 6.19 6.37 6.53 6.67
14 0.05 3.03 3.70 4.11 4.41 4.64 4.83 4.99 5.13 5.25
0.01 4.21 4.89 5.32 5.63 5.88 6.08 6.26 6.41 6.54
15 0.05 3.01 3.67 4.08 4.37 4.59 4.78 4.94 5.08 5.20
0.01 4.17 4.84 5.25 5.56 5.80 5.99 6.16 6.31 6.44
16 0.05 3.00 3.65 4.05 4.33 4.56 4.74 4.90 5.03 5.15
0.01 4.13 4.79 5.19 5.49 5.72 5.92 6.08 6.22 6.35
17 0.05 2.98 3.63 4.02 4.30 4.52 4.70 4.86 4.99 5.11
0.01 4.10 4.74 5.14 5.43 5.66 5.85 6.01 6.15 6.27
18 0.05 2.97 3.61 4.00 4.28 4.49 4.67 4.82 4.96 5.07
0.01 4.07 4.70 5.09 5.38 5.60 5.79 5.94 6.08 6.20
19 0.05 4.05 4.67 5.05 5.33 5.55 5.73 5.89 6.02 6.14
0.01 2.96 3.59 3.98 4.25 4.47 4.65 4.79 4.92 5.04
20 0.05 2.95 3.58 3.96 4.23 4.45 4.62 4.77 4.90 5.01
0.01 4.02 4.64 5.02 5.29 5.51 5.69 5.84 5.97 6.09
24 0.05 2.92 3.53 3.90 4.17 4.37 4.54 4.68 4.81 4.92
0.01 3.96 4.55 4.91 5.17 5.37 5.54 5.69 5.81 5.92
30 0.05 3.89 4.45 4.80 5.05 5.24 5.40 5.54 5.65 5.76
0.01 2.89 3.49 3.85 4.10 4.30 4.46 4.60 4.72 4.82
40 0.05 2.86 3.44 3.79 4.04 4.23 4.39 4.52 4.63 4.73
0.01 3.82 4.37 4.70 4.93 5.11 5.26 5.39 5.50 5.60
60 0.05 2.83 3.40 3.74 3.98 4.16 4.31 4.44 4.55 4.65
0.01 3.76 4.28 4.59 4.82 4.99 5.13 5.25 5.36 5.45
120 0.05 2.80 3.36 3.68 3.92 4.10 4.24 4.36 4.47 4.56
0.01 3.70 4.20 4.50 4.71 4.87 5.01 5.12 5.21 5.30
Inf 0.05 2.77 3.31 3.63 3.86 4.03 4.17 4.29 4.39 4.47
0.01 3.64 4.12 4.40 4.60 4.76 4.88 4.99 5.08 5.16
Table A.4: Valores críticos da distribuição t de Student bicaudal em diferentes probabilidades.
Área contida nas duas caudas laterais
GL 0.99 0.95 0.9 0.85 0.8 0.75 0.25 0.2 0.15 0.1 0.05 0.02 0.01 1E-3
1 0.016 0.079 0.158 0.240 0.325 0.414 2.414 3.078 4.165 6.314 12.706 31.821 63.657 636.619
2 0.014 0.071 0.142 0.215 0.289 0.365 1.604 1.886 2.282 2.920 4.303 6.965 9.925 31.599
3 0.014 0.068 0.137 0.206 0.277 0.349 1.423 1.638 1.924 2.353 3.182 4.541 5.841 12.924
4 0.013 0.067 0.134 0.202 0.271 0.341 1.344 1.533 1.778 2.132 2.776 3.747 4.604 8.610
5 0.013 0.066 0.132 0.199 0.267 0.337 1.301 1.476 1.699 2.015 2.571 3.365 4.032 6.869
6 0.013 0.065 0.131 0.197 0.265 0.334 1.273 1.440 1.650 1.943 2.447 3.143 3.707 5.959
7 0.013 0.065 0.130 0.196 0.263 0.331 1.254 1.415 1.617 1.895 2.365 2.998 3.499 5.408
8 0.013 0.065 0.130 0.195 0.262 0.330 1.240 1.397 1.592 1.860 2.306 2.896 3.355 5.041
9 0.013 0.064 0.129 0.195 0.261 0.329 1.230 1.383 1.574 1.833 2.262 2.821 3.250 4.781
10 0.013 0.064 0.129 0.194 0.260 0.328 1.221 1.372 1.559 1.812 2.228 2.764 3.169 4.587
11 0.013 0.064 0.129 0.194 0.260 0.327 1.214 1.363 1.548 1.796 2.201 2.718 3.106 4.437
12 0.013 0.064 0.128 0.193 0.259 0.326 1.209 1.356 1.538 1.782 2.179 2.681 3.055 4.318
13 0.013 0.064 0.128 0.193 0.259 0.325 1.204 1.350 1.530 1.771 2.160 2.650 3.012 4.221
14 0.013 0.064 0.128 0.193 0.258 0.325 1.200 1.345 1.523 1.761 2.145 2.624 2.977 4.140
15 0.013 0.064 0.128 0.192 0.258 0.325 1.197 1.341 1.517 1.753 2.131 2.602 2.947 4.073
16 0.013 0.064 0.128 0.192 0.258 0.324 1.194 1.337 1.512 1.746 2.120 2.583 2.921 4.015
17 0.013 0.064 0.128 0.192 0.257 0.324 1.191 1.333 1.508 1.740 2.110 2.567 2.898 3.965
18 0.013 0.064 0.127 0.192 0.257 0.324 1.189 1.330 1.504 1.734 2.101 2.552 2.878 3.922
19 0.013 0.064 0.127 0.192 0.257 0.323 1.187 1.328 1.500 1.729 2.093 2.539 2.861 3.883
20 0.013 0.063 0.127 0.192 0.257 0.323 1.185 1.325 1.497 1.725 2.086 2.528 2.845 3.850
21 0.013 0.063 0.127 0.191 0.257 0.323 1.183 1.323 1.494 1.721 2.080 2.518 2.831 3.819
22 0.013 0.063 0.127 0.191 0.256 0.323 1.182 1.321 1.492 1.717 2.074 2.508 2.819 3.792
23 0.013 0.063 0.127 0.191 0.256 0.322 1.180 1.319 1.489 1.714 2.069 2.500 2.807 3.768
24 0.013 0.063 0.127 0.191 0.256 0.322 1.179 1.318 1.487 1.711 2.064 2.492 2.797 3.745
25 0.013 0.063 0.127 0.191 0.256 0.322 1.178 1.316 1.485 1.708 2.060 2.485 2.787 3.725
26 0.013 0.063 0.127 0.191 0.256 0.322 1.177 1.315 1.483 1.706 2.056 2.479 2.779 3.707
27 0.013 0.063 0.127 0.191 0.256 0.322 1.176 1.314 1.482 1.703 2.052 2.473 2.771 3.690
28 0.013 0.063 0.127 0.191 0.256 0.322 1.175 1.313 1.480 1.701 2.048 2.467 2.763 3.674
29 0.013 0.063 0.127 0.191 0.256 0.322 1.174 1.311 1.479 1.699 2.045 2.462 2.756 3.659
30 0.013 0.063 0.127 0.191 0.256 0.322 1.173 1.310 1.477 1.697 2.042 2.457 2.750 3.646
31 0.013 0.063 0.127 0.191 0.256 0.321 1.172 1.309 1.476 1.696 2.040 2.453 2.744 3.633
32 0.013 0.063 0.127 0.191 0.255 0.321 1.172 1.309 1.475 1.694 2.037 2.449 2.738 3.622
33 0.013 0.063 0.127 0.191 0.255 0.321 1.171 1.308 1.474 1.692 2.035 2.445 2.733 3.611
34 0.013 0.063 0.127 0.191 0.255 0.321 1.170 1.307 1.473 1.691 2.032 2.441 2.728 3.601
35 0.013 0.063 0.127 0.191 0.255 0.321 1.170 1.306 1.472 1.690 2.030 2.438 2.724 3.591
36 0.013 0.063 0.127 0.190 0.255 0.321 1.169 1.306 1.471 1.688 2.028 2.434 2.719 3.582
37 0.013 0.063 0.127 0.190 0.255 0.321 1.169 1.305 1.470 1.687 2.026 2.431 2.715 3.574
38 0.013 0.063 0.127 0.190 0.255 0.321 1.168 1.304 1.469 1.686 2.024 2.429 2.712 3.566
39 0.013 0.063 0.126 0.190 0.255 0.321 1.168 1.304 1.468 1.685 2.023 2.426 2.708 3.558
40 0.013 0.063 0.126 0.190 0.255 0.321 1.167 1.303 1.468 1.684 2.021 2.423 2.704 3.551
45 0.013 0.063 0.126 0.190 0.255 0.321 1.165 1.301 1.465 1.679 2.014 2.412 2.690 3.520
50 0.013 0.063 0.126 0.190 0.255 0.320 1.164 1.299 1.462 1.676 2.009 2.403 2.678 3.496
55 0.013 0.063 0.126 0.190 0.255 0.320 1.163 1.297 1.460 1.673 2.004 2.396 2.668 3.476
60 0.013 0.063 0.126 0.190 0.254 0.320 1.162 1.296 1.458 1.671 2.000 2.390 2.660 3.460
65 0.013 0.063 0.126 0.190 0.254 0.320 1.161 1.295 1.457 1.669 1.997 2.385 2.654 3.447
70 0.013 0.063 0.126 0.190 0.254 0.320 1.160 1.294 1.456 1.667 1.994 2.381 2.648 3.435
75 0.013 0.063 0.126 0.190 0.254 0.320 1.159 1.293 1.454 1.665 1.992 2.377 2.643 3.425
80 0.013 0.063 0.126 0.190 0.254 0.320 1.159 1.292 1.453 1.664 1.990 2.374 2.639 3.416
85 0.013 0.063 0.126 0.190 0.254 0.320 1.158 1.292 1.453 1.663 1.988 2.371 2.635 3.409
90 0.013 0.063 0.126 0.190 0.254 0.320 1.158 1.291 1.452 1.662 1.987 2.368 2.632 3.402
95 0.013 0.063 0.126 0.190 0.254 0.320 1.157 1.291 1.451 1.661 1.985 2.366 2.629 3.396
100 0.013 0.063 0.126 0.190 0.254 0.320 1.157 1.290 1.451 1.660 1.984 2.364 2.626 3.390
110 0.013 0.063 0.126 0.190 0.254 0.319 1.156 1.289 1.450 1.659 1.982 2.361 2.621 3.381
120 0.013 0.063 0.126 0.190 0.254 0.319 1.156 1.289 1.449 1.658 1.980 2.358 2.617 3.373
Table A.5: Valores da distribuição normal padrão. Primeira decimal de Z nas linhas e segunda decimal de Z nas colunas.
Z 0.00 0.01 0.02 0.03 0.04 0.05 0.06 0.07 0.08 0.09
-3.0 0.001 0.001 0.001 0.001 0.002 0.002 0.002 0.002 0.002 0.002
-2.9 0.002 0.002 0.002 0.002 0.002 0.002 0.002 0.002 0.002 0.002
-2.8 0.003 0.003 0.003 0.003 0.003 0.003 0.003 0.003 0.003 0.003
-2.7 0.003 0.004 0.004 0.004 0.004 0.004 0.004 0.004 0.004 0.005
-2.6 0.005 0.005 0.005 0.005 0.005 0.005 0.006 0.006 0.006 0.006
-2.5 0.006 0.006 0.007 0.007 0.007 0.007 0.007 0.008 0.008 0.008
-2.4 0.008 0.008 0.009 0.009 0.009 0.009 0.010 0.010 0.010 0.010
-2.3 0.011 0.011 0.011 0.012 0.012 0.012 0.013 0.013 0.013 0.014
-2.2 0.014 0.014 0.015 0.015 0.015 0.016 0.016 0.017 0.017 0.017
-2.1 0.018 0.018 0.019 0.019 0.020 0.020 0.021 0.021 0.022 0.022
-2.0 0.023 0.023 0.024 0.024 0.025 0.026 0.026 0.027 0.027 0.028
-1.9 0.029 0.029 0.030 0.031 0.031 0.032 0.033 0.034 0.034 0.035
-1.8 0.036 0.037 0.038 0.038 0.039 0.040 0.041 0.042 0.043 0.044
-1.7 0.045 0.046 0.046 0.047 0.048 0.049 0.051 0.052 0.053 0.054
-1.6 0.055 0.056 0.057 0.058 0.059 0.061 0.062 0.063 0.064 0.066
-1.5 0.067 0.068 0.069 0.071 0.072 0.074 0.075 0.076 0.078 0.079
-1.4 0.081 0.082 0.084 0.085 0.087 0.089 0.090 0.092 0.093 0.095
-1.3 0.097 0.099 0.100 0.102 0.104 0.106 0.107 0.109 0.111 0.113
-1.2 0.115 0.117 0.119 0.121 0.123 0.125 0.127 0.129 0.131 0.133
-1.1 0.136 0.138 0.140 0.142 0.145 0.147 0.149 0.152 0.154 0.156
-1.0 0.159 0.161 0.164 0.166 0.169 0.171 0.174 0.176 0.179 0.181
-0.9 0.184 0.187 0.189 0.192 0.195 0.198 0.200 0.203 0.206 0.209
-0.8 0.212 0.215 0.218 0.221 0.224 0.227 0.230 0.233 0.236 0.239
-0.7 0.242 0.245 0.248 0.251 0.255 0.258 0.261 0.264 0.268 0.271
-0.6 0.274 0.278 0.281 0.284 0.288 0.291 0.295 0.298 0.302 0.305
-0.5 0.309 0.312 0.316 0.319 0.323 0.326 0.330 0.334 0.337 0.341
-0.4 0.345 0.348 0.352 0.356 0.359 0.363 0.367 0.371 0.374 0.378
-0.3 0.382 0.386 0.390 0.394 0.397 0.401 0.405 0.409 0.413 0.417
-0.2 0.421 0.425 0.429 0.433 0.436 0.440 0.444 0.448 0.452 0.456
-0.1 0.460 0.464 0.468 0.472 0.476 0.480 0.484 0.488 0.492 0.496
0.0 0.500 0.504 0.508 0.512 0.516 0.520 0.524 0.528 0.532 0.536
0.1 0.540 0.544 0.548 0.552 0.556 0.560 0.564 0.567 0.571 0.575
0.2 0.579 0.583 0.587 0.591 0.595 0.599 0.603 0.606 0.610 0.614
0.3 0.618 0.622 0.626 0.629 0.633 0.637 0.641 0.644 0.648 0.652
0.4 0.655 0.659 0.663 0.666 0.670 0.674 0.677 0.681 0.684 0.688
0.5 0.691 0.695 0.698 0.702 0.705 0.709 0.712 0.716 0.719 0.722
0.6 0.726 0.729 0.732 0.736 0.739 0.742 0.745 0.749 0.752 0.755
0.7 0.758 0.761 0.764 0.767 0.770 0.773 0.776 0.779 0.782 0.785
0.8 0.788 0.791 0.794 0.797 0.800 0.802 0.805 0.808 0.811 0.813
0.9 0.816 0.819 0.821 0.824 0.826 0.829 0.831 0.834 0.836 0.839
1.0 0.841 0.844 0.846 0.848 0.851 0.853 0.855 0.858 0.860 0.862
1.1 0.864 0.867 0.869 0.871 0.873 0.875 0.877 0.879 0.881 0.883
1.2 0.885 0.887 0.889 0.891 0.893 0.894 0.896 0.898 0.900 0.901
1.3 0.903 0.905 0.907 0.908 0.910 0.911 0.913 0.915 0.916 0.918
1.4 0.919 0.921 0.922 0.924 0.925 0.926 0.928 0.929 0.931 0.932
1.5 0.933 0.934 0.936 0.937 0.938 0.939 0.941 0.942 0.943 0.944
1.6 0.945 0.946 0.947 0.948 0.949 0.951 0.952 0.953 0.954 0.954
1.7 0.955 0.956 0.957 0.958 0.959 0.960 0.961 0.962 0.962 0.963
1.8 0.964 0.965 0.966 0.966 0.967 0.968 0.969 0.969 0.970 0.971
1.9 0.971 0.972 0.973 0.973 0.974 0.974 0.975 0.976 0.976 0.977
2.0 0.977 0.978 0.978 0.979 0.979 0.980 0.980 0.981 0.981 0.982
2.1 0.982 0.983 0.983 0.983 0.984 0.984 0.985 0.985 0.985 0.986
2.2 0.986 0.986 0.987 0.987 0.987 0.988 0.988 0.988 0.989 0.989
2.3 0.989 0.990 0.990 0.990 0.990 0.991 0.991 0.991 0.991 0.992
2.4 0.992 0.992 0.992 0.992 0.993 0.993 0.993 0.993 0.993 0.994
2.5 0.994 0.994 0.994 0.994 0.994 0.995 0.995 0.995 0.995 0.995
2.6 0.995 0.995 0.996 0.996 0.996 0.996 0.996 0.996 0.996 0.996
2.7 0.997 0.997 0.997 0.997 0.997 0.997 0.997 0.997 0.997 0.997
2.8 0.997 0.998 0.998 0.998 0.998 0.998 0.998 0.998 0.998 0.998
2.9 0.998 0.998 0.998 0.998 0.998 0.998 0.998 0.999 0.999 0.999
3.0 0.999 0.999 0.999 0.999 0.999 0.999 0.999 0.999 0.999 0.999
Table A.6: Valores críticos (função inversa) em relação a cauda esquerda da distribuição Chi-quadrado.
GL 0.005 0.01 0.025 0.05 0.1 0.9 0.95 0.975 0.99 0.995
1 0.000 0.000 0.001 0.004 0.016 2.706 3.841 5.024 6.635 7.879
2 0.010 0.020 0.051 0.103 0.211 4.605 5.991 7.378 9.210 10.597
3 0.072 0.115 0.216 0.352 0.584 6.251 7.815 9.348 11.345 12.838
4 0.207 0.297 0.484 0.711 1.064 7.779 9.488 11.143 13.277 14.860
5 0.412 0.554 0.831 1.145 1.610 9.236 11.070 12.833 15.086 16.750
6 0.676 0.872 1.237 1.635 2.204 10.645 12.592 14.449 16.812 18.548
7 0.989 1.239 1.690 2.167 2.833 12.017 14.067 16.013 18.475 20.278
8 1.344 1.646 2.180 2.733 3.490 13.362 15.507 17.535 20.090 21.955
9 1.735 2.088 2.700 3.325 4.168 14.684 16.919 19.023 21.666 23.589
10 2.156 2.558 3.247 3.940 4.865 15.987 18.307 20.483 23.209 25.188
11 2.603 3.053 3.816 4.575 5.578 17.275 19.675 21.920 24.725 26.757
12 3.074 3.571 4.404 5.226 6.304 18.549 21.026 23.337 26.217 28.300
13 3.565 4.107 5.009 5.892 7.042 19.812 22.362 24.736 27.688 29.819
14 4.075 4.660 5.629 6.571 7.790 21.064 23.685 26.119 29.141 31.319
15 4.601 5.229 6.262 7.261 8.547 22.307 24.996 27.488 30.578 32.801
16 5.142 5.812 6.908 7.962 9.312 23.542 26.296 28.845 32.000 34.267
17 5.697 6.408 7.564 8.672 10.085 24.769 27.587 30.191 33.409 35.718
18 6.265 7.015 8.231 9.390 10.865 25.989 28.869 31.526 34.805 37.156
19 6.844 7.633 8.907 10.117 11.651 27.204 30.144 32.852 36.191 38.582
20 7.434 8.260 9.591 10.851 12.443 28.412 31.410 34.170 37.566 39.997
21 8.034 8.897 10.283 11.591 13.240 29.615 32.671 35.479 38.932 41.401
22 8.643 9.542 10.982 12.338 14.041 30.813 33.924 36.781 40.289 42.796
23 9.260 10.196 11.689 13.091 14.848 32.007 35.172 38.076 41.638 44.181
24 9.886 10.856 12.401 13.848 15.659 33.196 36.415 39.364 42.980 45.559
25 10.520 11.524 13.120 14.611 16.473 34.382 37.652 40.646 44.314 46.928
26 11.160 12.198 13.844 15.379 17.292 35.563 38.885 41.923 45.642 48.290
27 11.808 12.879 14.573 16.151 18.114 36.741 40.113 43.195 46.963 49.645
28 12.461 13.565 15.308 16.928 18.939 37.916 41.337 44.461 48.278 50.993
29 13.121 14.256 16.047 17.708 19.768 39.087 42.557 45.722 49.588 52.336
30 13.787 14.953 16.791 18.493 20.599 40.256 43.773 46.979 50.892 53.672
40 20.707 22.164 24.433 26.509 29.051 51.805 55.758 59.342 63.691 66.766
50 27.991 29.707 32.357 34.764 37.689 63.167 67.505 71.420 76.154 79.490
60 35.534 37.485 40.482 43.188 46.459 74.397 79.082 83.298 88.379 91.952
70 43.275 45.442 48.758 51.739 55.329 85.527 90.531 95.023 100.425 104.215
80 51.172 53.540 57.153 60.391 64.278 96.578 101.879 106.629 112.329 116.321
90 59.196 61.754 65.647 69.126 73.291 107.565 113.145 118.136 124.116 128.299
100 67.328 70.065 74.222 77.929 82.358 118.498 124.342 129.561 135.807 140.169
Table A.7: Valores críticos (função inversa) em relação a cauda direita da distribuição Chi-quadrado.
GL 0.005 0.01 0.025 0.05 0.1 0.9 0.95 0.975 0.99 0.995
1 7.879 6.635 5.024 3.841 2.706 0.016 0.004 0.001 0.000 0.000
2 10.597 9.210 7.378 5.991 4.605 0.211 0.103 0.051 0.020 0.010
3 12.838 11.345 9.348 7.815 6.251 0.584 0.352 0.216 0.115 0.072
4 14.860 13.277 11.143 9.488 7.779 1.064 0.711 0.484 0.297 0.207
5 16.750 15.086 12.833 11.070 9.236 1.610 1.145 0.831 0.554 0.412
6 18.548 16.812 14.449 12.592 10.645 2.204 1.635 1.237 0.872 0.676
7 20.278 18.475 16.013 14.067 12.017 2.833 2.167 1.690 1.239 0.989
8 21.955 20.090 17.535 15.507 13.362 3.490 2.733 2.180 1.646 1.344
9 23.589 21.666 19.023 16.919 14.684 4.168 3.325 2.700 2.088 1.735
10 25.188 23.209 20.483 18.307 15.987 4.865 3.940 3.247 2.558 2.156
11 26.757 24.725 21.920 19.675 17.275 5.578 4.575 3.816 3.053 2.603
12 28.300 26.217 23.337 21.026 18.549 6.304 5.226 4.404 3.571 3.074
13 29.819 27.688 24.736 22.362 19.812 7.042 5.892 5.009 4.107 3.565
14 31.319 29.141 26.119 23.685 21.064 7.790 6.571 5.629 4.660 4.075
15 32.801 30.578 27.488 24.996 22.307 8.547 7.261 6.262 5.229 4.601
16 34.267 32.000 28.845 26.296 23.542 9.312 7.962 6.908 5.812 5.142
17 35.718 33.409 30.191 27.587 24.769 10.085 8.672 7.564 6.408 5.697
18 37.156 34.805 31.526 28.869 25.989 10.865 9.390 8.231 7.015 6.265
19 38.582 36.191 32.852 30.144 27.204 11.651 10.117 8.907 7.633 6.844
20 39.997 37.566 34.170 31.410 28.412 12.443 10.851 9.591 8.260 7.434
21 41.401 38.932 35.479 32.671 29.615 13.240 11.591 10.283 8.897 8.034
22 42.796 40.289 36.781 33.924 30.813 14.041 12.338 10.982 9.542 8.643
23 44.181 41.638 38.076 35.172 32.007 14.848 13.091 11.689 10.196 9.260
24 45.559 42.980 39.364 36.415 33.196 15.659 13.848 12.401 10.856 9.886
25 46.928 44.314 40.646 37.652 34.382 16.473 14.611 13.120 11.524 10.520
26 48.290 45.642 41.923 38.885 35.563 17.292 15.379 13.844 12.198 11.160
27 49.645 46.963 43.195 40.113 36.741 18.114 16.151 14.573 12.879 11.808
28 50.993 48.278 44.461 41.337 37.916 18.939 16.928 15.308 13.565 12.461
29 52.336 49.588 45.722 42.557 39.087 19.768 17.708 16.047 14.256 13.121
30 53.672 50.892 46.979 43.773 40.256 20.599 18.493 16.791 14.953 13.787
40 66.766 63.691 59.342 55.758 51.805 29.051 26.509 24.433 22.164 20.707
50 79.490 76.154 71.420 67.505 63.167 37.689 34.764 32.357 29.707 27.991
60 91.952 88.379 83.298 79.082 74.397 46.459 43.188 40.482 37.485 35.534
70 104.215 100.425 95.023 90.531 85.527 55.329 51.739 48.758 45.442 43.275
80 116.321 112.329 106.629 101.879 96.578 64.278 60.391 57.153 53.540 51.172
90 128.299 124.116 118.136 113.145 107.565 73.291 69.126 65.647 61.754 59.196
100 140.169 135.807 129.561 124.342 118.498 82.358 77.929 74.222 70.065 67.328