Tabla F
This document was uploaded by user and they confirmed that they have the permission to share it. If you are author or own the copyright of this book, please report to us by using this DMCA report form. Report DMCA
Overview
Download & View Tabla F as PDF for free.
More details
- Words: 2,135
- Pages: 5
F
Numerador
3
α
Denominador
0.2
0.1
0.05
0.03
0.01
0.01
0
0
1 2 3 4 5
13.064 4.1563 2.9359 2.4847 2.2530
53.593 9.1618 5.3908 4.1909 3.6195
215.7 19.1643 9.2766 6.5914 5.4095
864.2 39.1655 15.4392 9.9792 7.7636
5403.4 99.1662 29.4567 16.6944 12.0600
21614.7 199.1664 47.4672 24.2591 16.5298
86460.3 399.1666 76.0561 34.9556 22.4256
540379.2 999.1666 141.1085 56.1772 33.2025
6 7 8 9 10
2.1126 2.0186 1.9513 1.9007 1.8614
3.2888 3.0741 2.9238 2.8129 2.7277
4.7571 4.3468 4.0662 3.8625 3.7083
6.5988 5.8898 5.4160 5.0781 4.8256
9.7795 8.4513 7.5910 6.9919 6.5523
12.9166 10.8824 9.5965 8.7171 8.0807
16.8666 13.8434 11.9786 10.7265 9.8334
23.7033 18.7723 15.8295 13.9018 12.5527
11 12 13 14 15
1.8299 1.8042 1.7827 1.7646 1.7490
2.6602 2.6055 2.5603 2.5222 2.4898
3.5874 3.4903 3.4105 3.3439 3.2874
4.6300 4.4742 4.3472 4.2417 4.1528
6.2167 5.9525 5.7394 5.5639 5.4170
7.6004 7.2258 6.9258 6.6804 6.4760
9.1668 8.6517 8.2424 7.9097 7.6343
11.5611 10.8042 10.2089 9.7294 9.3353
16 17 18 19 20
1.7355 1.7238 1.7134 1.7041 1.6958
2.4618 2.4374 2.4160 2.3970 2.3801
3.2389 3.1968 3.1599 3.1274 3.0984
4.0768 4.0112 3.9539 3.9034 3.8587
5.2922 5.1850 5.0919 5.0103 4.9382
6.3034 6.1556 6.0278 5.9161 5.8177
7.4027 7.2053 7.0351 6.8870 6.7569
9.0059 8.7269 8.4875 8.2799 8.0984
21 22 23 24 25
1.6884 1.6817 1.6755 1.6699 1.6648
2.3649 2.3512 2.3387 2.3274 2.3170
3.0725 3.0491 3.0280 3.0088 2.9912
3.8188 3.7829 3.7505 3.7211 3.6943
4.8740 4.8166 4.7649 4.7181 4.6755
5.7304 5.6524 5.5823 5.5190 5.4615
6.6417 6.5391 6.4470 6.3640 6.2889
7.9383 7.7960 7.6688 7.5545 7.4511
26 27 28 29 30
1.6601 1.6558 1.6517 1.6480 1.6445
2.3075 2.2987 2.2906 2.2831 2.2761
2.9752 2.9604 2.9467 2.9340 2.9223
3.6697 3.6472 3.6264 3.6072 3.5894
4.6366 4.6009 4.5681 4.5378 4.5097
5.4091 5.3611 5.3170 5.2764 5.2388
6.2204 6.1578 6.1004 6.0476 5.9987
7.3572 7.2715 7.1931 7.1210 7.0545
35 40 45 50 60
1.6302 1.6195 1.6113 1.6048 1.5950
2.2474 2.2261 2.2097 2.1967 2.1774
2.8742 2.8387 2.8115 2.7900 2.7581
3.5166 3.4633 3.4224 3.3902 3.3425
4.3957 4.3126 4.2492 4.1993 4.1259
5.0865 4.9758 4.8918 4.8259 4.7290
5.8016 5.6589 5.5509 5.4664 5.3425
6.7870 6.5945 6.4495 6.3364 6.1712
70 80 90 100 110
1.5881 1.5829 1.5789 1.5757 1.5731
2.1637 2.1535 2.1457 2.1394 2.1343
2.7355 2.7188 2.7058 2.6955 2.6871
3.3090 3.2841 3.2649 3.2496 3.2372
4.0744 4.0363 4.0070 3.9837 3.9648
4.6613 4.6113 4.5728 4.5424 4.5177
5.2562 5.1926 5.1438 5.1052 5.0739
6.0566 5.9723 5.9078 5.8568 5.8155
120 130 140 150 200 500
1.5709 1.5691 1.5675 1.5661 1.5614 1.5529
2.1300 2.1264 2.1233 2.1207 2.1114 2.0948
2.6802 2.6743 2.6693 2.6649 2.6498 2.6227
3.2269 3.2182 3.2108 3.2044 3.1820 3.1423
3.9491 3.9359 3.9246 3.9149 3.8810 3.8210
4.4972 4.4799 4.4652 4.4525 4.4084 4.3304
5.0479 5.0261 5.0075 4.9915 4.9358 4.8376
5.7814 5.7527 5.7282 5.7072 5.6341 5.5057
F
Numerador
4
α
Denominador
0.2
0.1
0.05
0.03
0.01
0.01
0
0
1 2 3 4 5
13.644 4.236 2.956 2.483 2.240
55.833 9.243 5.343 4.107 3.520
224.583 19.247 9.117 6.388 5.192
899.583 39.248 15.101 9.605 7.388
5624.583 99.249 28.710 15.977 11.392
22499.583 199.250 46.195 23.155 15.556
89999.583 399.250 73.948 33.303 21.048
562499.584 999.250 137.100 53.436 31.085
6 7 8 9 10
2.092 1.994 1.923 1.870 1.829
3.181 2.961 2.806 2.693 2.605
4.534 4.120 3.838 3.633 3.478
6.227 5.523 5.053 4.718 4.468
9.148 7.847 7.006 6.422 5.994
12.028 10.050 8.805 7.956 7.343
15.652 12.733 10.941 9.741 8.888
21.924 17.198 14.392 12.560 11.283
11 12 13 14 15
1.796 1.768 1.746 1.727 1.710
2.536 2.480 2.434 2.395 2.361
3.357 3.259 3.179 3.112 3.056
4.275 4.121 3.996 3.892 3.804
5.668 5.412 5.205 5.035 4.893
6.881 6.521 6.233 5.998 5.803
8.252 7.762 7.373 7.057 6.796
10.346 9.633 9.073 8.622 8.253
16 17 18 19 20
1.696 1.684 1.673 1.663 1.654
2.333 2.308 2.286 2.266 2.249
3.007 2.965 2.928 2.895 2.866
3.729 3.665 3.608 3.559 3.515
4.773 4.669 4.579 4.500 4.431
5.638 5.497 5.375 5.268 5.174
6.577 6.390 6.229 6.089 5.967
7.944 7.683 7.459 7.265 7.096
21 22 23 24 25
1.646 1.639 1.633 1.627 1.622
2.233 2.219 2.207 2.195 2.184
2.840 2.817 2.796 2.776 2.759
3.475 3.440 3.408 3.379 3.353
4.369 4.313 4.264 4.218 4.177
5.091 5.017 4.950 4.890 4.835
5.858 5.761 5.674 5.596 5.525
6.947 6.814 6.696 6.589 6.493
26 27 28 29 30
1.617 1.612 1.608 1.604 1.600
2.174 2.165 2.157 2.149 2.142
2.743 2.728 2.714 2.701 2.690
3.329 3.307 3.286 3.267 3.250
4.140 4.106 4.074 4.045 4.018
4.785 4.740 4.698 4.659 4.623
5.461 5.402 5.348 5.299 5.253
6.406 6.326 6.253 6.186 6.125
35 40 45 50 60
1.585 1.574 1.565 1.558 1.548
2.113 2.091 2.074 2.061 2.041
2.641 2.606 2.579 2.557 2.525
3.179 3.126 3.086 3.054 3.008
3.908 3.828 3.767 3.720 3.649
4.479 4.374 4.294 4.232 4.140
5.067 4.934 4.832 4.753 4.637
5.876 5.698 5.564 5.459 5.307
70 80 90 100 110
1.540 1.535 1.531 1.527 1.525
2.027 2.016 2.008 2.002 1.997
2.503 2.486 2.473 2.463 2.454
2.975 2.950 2.932 2.917 2.904
3.600 3.563 3.535 3.513 3.495
4.076 4.029 3.992 3.963 3.940
4.557 4.497 4.451 4.415 4.386
5.201 5.123 5.064 5.017 4.979
120 130 140 150 200 500
1.522 1.520 1.519 1.517 1.512 1.503
1.992 1.989 1.985 1.983 1.973 1.956
2.447 2.441 2.436 2.432 2.417 2.390
2.894 2.886 2.879 2.872 2.850 2.811
3.480 3.467 3.456 3.447 3.414 3.357
3.921 3.904 3.890 3.878 3.837 3.763
4.362 4.342 4.324 4.309 4.257 4.166
4.947 4.921 4.898 4.879 4.812 4.693
Numerador
5
F
α Denominador
0.2
0.1
0.05
0.03
0.01
0.01
0
0
1 2 3 4 5
14.008 4.284 2.965 2.478 2.228
57.240 9.293 5.309 4.051 3.453
230.162 19.296 9.013 6.256 5.050
921.848 39.298 14.885 9.364 7.146
5763.650 99.299 28.237 15.522 10.967
23055.798 199.300 45.392 22.456 14.940
92224.393 399.300 72.621 32.261 20.178
576404.556 999.300 134.580 51.712 29.752
6 7 8 9 10
2.076 1.974 1.900 1.846 1.803
3.108 2.883 2.726 2.611 2.522
4.387 3.972 3.687 3.482 3.326
5.988 5.285 4.817 4.484 4.236
8.746 7.460 6.632 6.057 5.636
11.464 9.522 8.302 7.471 6.872
14.884 12.031 10.283 9.116 8.288
20.803 16.206 13.485 11.714 10.481
11 12 13 14 15
1.768 1.740 1.717 1.697 1.680
2.451 2.394 2.347 2.307 2.273
3.204 3.106 3.025 2.958 2.901
4.044 3.891 3.767 3.663 3.576
5.316 5.064 4.862 4.695 4.556
6.422 6.071 5.791 5.562 5.372
7.671 7.196 6.820 6.515 6.263
9.578 8.892 8.354 7.922 7.567
16 17 18 19 20
1.665 1.652 1.641 1.631 1.622
2.244 2.218 2.196 2.176 2.158
2.852 2.810 2.773 2.740 2.711
3.502 3.438 3.382 3.333 3.289
4.437 4.336 4.248 4.171 4.103
5.212 5.075 4.956 4.853 4.762
6.051 5.871 5.716 5.581 5.463
7.272 7.022 6.808 6.622 6.461
21 22 23 24 25
1.614 1.606 1.599 1.593 1.588
2.142 2.128 2.115 2.103 2.092
2.685 2.661 2.640 2.621 2.603
3.250 3.215 3.183 3.155 3.129
4.042 3.988 3.939 3.895 3.855
4.681 4.609 4.544 4.486 4.433
5.358 5.265 5.181 5.106 5.038
6.318 6.191 6.078 5.977 5.885
26 27 28 29 30
1.583 1.578 1.573 1.569 1.565
2.082 2.073 2.064 2.057 2.049
2.587 2.572 2.558 2.545 2.534
3.105 3.083 3.063 3.044 3.026
3.818 3.785 3.754 3.725 3.699
4.384 4.340 4.300 4.262 4.228
4.976 4.920 4.868 4.820 4.776
5.802 5.726 5.656 5.593 5.534
35 40 45 50 60
1.550 1.538 1.529 1.522 1.511
2.019 1.997 1.980 1.966 1.946
2.485 2.449 2.422 2.400 2.368
2.956 2.904 2.864 2.833 2.786
3.592 3.514 3.454 3.408 3.339
4.088 3.986 3.909 3.849 3.760
4.598 4.470 4.372 4.297 4.185
5.298 5.128 5.001 4.901 4.757
70 80 90 100 110 120
1.503 1.497 1.493 1.489 1.487 1.484
1.931 1.921 1.912 1.906 1.900 1.896
2.346 2.329 2.316 2.305 2.297 2.290
2.754 2.730 2.711 2.696 2.684 2.674
3.291 3.255 3.228 3.206 3.188 3.174
3.698 3.652 3.617 3.589 3.567 3.548
4.108 4.051 4.008 3.973 3.945 3.922
4.656 4.582 4.526 4.482 4.445 4.416
130 140 150 200 500
1.482 1.480 1.479 1.474 1.464
1.892 1.889 1.886 1.876 1.859
2.284 2.279 2.274 2.259 2.232
2.666 2.658 2.652 2.630 2.592
3.161 3.151 3.142 3.110 3.054
3.533 3.519 3.508 3.467 3.396
3.902 3.886 3.871 3.822 3.734
4.391 4.369 4.351 4.287 4.176
Numerador
6
F
α Denominador
0.2
0.1
0.05
0.03
0.01
0.01
0
0
1 2 3 4 5
14.258 4.317 2.971 2.473 2.217
58.204 9.326 5.285 4.010 3.405
233.986 19.330 8.941 6.163 4.950
937.111 39.331 14.735 9.197 6.978
5858.986 99.333 27.911 15.207 10.672
23437.111 199.333 44.838 21.975 14.513
93749.611 399.333 71.708 31.543 19.578
585937.114 999.333 132.847 50.525 28.834
6 7 8 9 10
2.062 1.957 1.883 1.826 1.782
3.055 2.827 2.668 2.551 2.461
4.284 3.866 3.581 3.374 3.217
5.820 5.119 4.652 4.320 4.072
8.466 7.191 6.371 5.802 5.386
11.073 9.155 7.952 7.134 6.545
14.354 11.545 9.828 8.683 7.871
20.030 15.521 12.858 11.128 9.926
11 12 13 14 15
1.747 1.718 1.694 1.674 1.656
2.389 2.331 2.283 2.243 2.208
3.095 2.996 2.915 2.848 2.790
3.881 3.728 3.604 3.501 3.415
5.069 4.821 4.620 4.456 4.318
6.102 5.757 5.482 5.257 5.071
7.268 6.803 6.435 6.137 5.891
9.047 8.379 7.856 7.436 7.092
16 17 18 19 20
1.641 1.628 1.616 1.605 1.596
2.178 2.152 2.130 2.109 2.091
2.741 2.699 2.661 2.628 2.599
3.341 3.277 3.221 3.172 3.128
4.202 4.102 4.015 3.939 3.871
4.913 4.779 4.663 4.561 4.472
5.684 5.509 5.357 5.226 5.111
6.805 6.562 6.355 6.175 6.019
21 22 23 24 25
1.588 1.580 1.573 1.567 1.561
2.075 2.060 2.047 2.035 2.024
2.573 2.549 2.528 2.508 2.490
3.090 3.055 3.023 2.995 2.969
3.812 3.758 3.710 3.667 3.627
4.393 4.322 4.259 4.202 4.150
5.009 4.918 4.837 4.763 4.697
5.881 5.758 5.649 5.550 5.462
26 27 28 29 30
1.556 1.551 1.546 1.542 1.538
2.014 2.005 1.996 1.988 1.980
2.474 2.459 2.445 2.432 2.421
2.945 2.923 2.903 2.884 2.867
3.591 3.558 3.528 3.499 3.473
4.103 4.059 4.020 3.983 3.949
4.637 4.582 4.531 4.485 4.442
5.381 5.308 5.241 5.179 5.122
35 40 45 50 60
1.521 1.509 1.500 1.492 1.481
1.950 1.927 1.909 1.895 1.875
2.372 2.336 2.308 2.286 2.254
2.796 2.744 2.705 2.674 2.627
3.368 3.291 3.232 3.186 3.119
3.812 3.713 3.638 3.579 3.492
4.269 4.144 4.050 3.976 3.868
4.894 4.731 4.608 4.512 4.372
70 80 90 100 110
1.473 1.467 1.463 1.459 1.456
1.860 1.849 1.841 1.834 1.828
2.231 2.214 2.201 2.191 2.182
2.595 2.571 2.552 2.537 2.525
3.071 3.036 3.009 2.988 2.970
3.431 3.387 3.352 3.325 3.303
3.793 3.738 3.695 3.662 3.635
4.275 4.204 4.150 4.107 4.072
120 130 140 150 200 500
1.454 1.452 1.450 1.448 1.443 1.433
1.824 1.820 1.817 1.814 1.804 1.786
2.175 2.169 2.164 2.160 2.144 2.117
2.515 2.507 2.500 2.494 2.472 2.434
2.956 2.944 2.933 2.924 2.893 2.838
3.285 3.270 3.256 3.245 3.206 3.137
3.612 3.593 3.577 3.563 3.515 3.430
4.044 4.020 3.999 3.981 3.920 3.813
0.05
0.03
0.01
0.01
0
0
Numerador Denominador
2 0.2
0.1
α
F 1 2 3 4 5
12.000 4.000 2.886 2.472 2.259
49.500 9.000 5.462 4.325 3.780
199.500 19.000 9.552 6.944 5.786
799.500 39.000 16.044 10.649 8.434
4999.500 99.000 30.817 18.000 13.274
19999.250 199.000 49.799 26.284 18.314
79999.500 399.000 79.933 38.000 24.964
499999.502 999.000 148.500 61.246 37.122
6 7 8 9 10
2.130 2.043 1.981 1.935 1.899
3.463 3.257 3.113 3.006 2.924
5.143 4.737 4.459 4.256 4.103
7.260 6.542 6.059 5.715 5.456
10.925 9.547 8.649 8.022 7.559
14.544 12.404 11.042 10.107 9.427
19.104 15.887 13.889 12.539 11.572
27.000 21.689 18.494 16.387 14.905
11 12 13 14 15
1.870 1.846 1.826 1.809 1.795
2.860 2.807 2.763 2.726 2.695
3.982 3.885 3.806 3.739 3.682
5.256 5.096 4.965 4.857 4.765
7.206 6.927 6.701 6.515 6.359
8.912 8.510 8.186 7.922 7.701
10.848 10.287 9.839 9.475 9.173
13.812 12.974 12.313 11.779 11.339
16 17 18 19 20
1.783 1.772 1.762 1.754 1.746
2.668 2.645 2.624 2.606 2.589
3.634 3.592 3.555 3.522 3.493
4.687 4.619 4.560 4.508 4.461
6.226 6.112 6.013 5.926 5.849
7.514 7.354 7.215 7.093 6.986
8.918 8.701 8.513 8.349 8.206
10.971 10.658 10.390 10.157 9.953
21 22 23 24 25
1.739 1.733 1.728 1.722 1.718
2.575 2.561 2.549 2.538 2.528
3.467 3.443 3.422 3.403 3.385
4.420 4.383 4.349 4.319 4.291
5.780 5.719 5.664 5.614 5.568
6.891 6.806 6.730 6.661 6.598
8.078 7.965 7.863 7.771 7.687
9.772 9.612 9.469 9.339 9.223
26 27 28 29 30
1.713 1.709 1.706 1.702 1.699
2.519 2.511 2.503 2.495 2.489
3.369 3.354 3.340 3.328 3.316
4.265 4.242 4.221 4.201 4.182
5.526 5.488 5.453 5.420 5.390
6.541 6.489 6.440 6.396 6.355
7.611 7.542 7.478 7.419 7.365
9.116 9.019 8.931 8.849 8.773
35 40 45 50 60
1.686 1.676 1.668 1.662 1.653
2.461 2.440 2.425 2.412 2.393
3.267 3.232 3.204 3.183 3.150
4.106 4.051 4.009 3.975 3.925
5.268 5.179 5.110 5.057 4.977
6.188 6.066 5.974 5.902 5.795
7.145 6.986 6.865 6.770 6.632
8.470 8.251 8.086 7.956 7.768
70 80 90 100
1.647 1.642 1.639 1.636
2.380 2.370 2.363 2.356
3.128 3.111 3.098 3.087
3.890 3.864 3.844 3.828
4.922 4.881 4.849 4.824
5.720 5.665 5.623 5.589
6.535 6.463 6.409 6.365
7.637 7.540 7.466 7.408
110 120 130 140 150 200 500
1.633 1.631 1.630 1.628 1.627 1.622 1.615
2.351 2.347 2.344 2.341 2.338 2.329 2.313
3.079 3.072 3.066 3.061 3.056 3.041 3.014
3.815 3.805 3.796 3.788 3.781 3.758 3.716
4.803 4.787 4.772 4.760 4.749 4.713 4.648
5.562 5.539 5.520 5.504 5.490 5.441 5.355
6.330 6.301 6.276 6.255 6.237 6.175 6.064
7.360 7.321 7.288 7.260 7.236 7.152 7.004
Numerador
3
α
Denominador
0.2
0.1
0.05
0.03
0.01
0.01
0
0
1 2 3 4 5
13.064 4.1563 2.9359 2.4847 2.2530
53.593 9.1618 5.3908 4.1909 3.6195
215.7 19.1643 9.2766 6.5914 5.4095
864.2 39.1655 15.4392 9.9792 7.7636
5403.4 99.1662 29.4567 16.6944 12.0600
21614.7 199.1664 47.4672 24.2591 16.5298
86460.3 399.1666 76.0561 34.9556 22.4256
540379.2 999.1666 141.1085 56.1772 33.2025
6 7 8 9 10
2.1126 2.0186 1.9513 1.9007 1.8614
3.2888 3.0741 2.9238 2.8129 2.7277
4.7571 4.3468 4.0662 3.8625 3.7083
6.5988 5.8898 5.4160 5.0781 4.8256
9.7795 8.4513 7.5910 6.9919 6.5523
12.9166 10.8824 9.5965 8.7171 8.0807
16.8666 13.8434 11.9786 10.7265 9.8334
23.7033 18.7723 15.8295 13.9018 12.5527
11 12 13 14 15
1.8299 1.8042 1.7827 1.7646 1.7490
2.6602 2.6055 2.5603 2.5222 2.4898
3.5874 3.4903 3.4105 3.3439 3.2874
4.6300 4.4742 4.3472 4.2417 4.1528
6.2167 5.9525 5.7394 5.5639 5.4170
7.6004 7.2258 6.9258 6.6804 6.4760
9.1668 8.6517 8.2424 7.9097 7.6343
11.5611 10.8042 10.2089 9.7294 9.3353
16 17 18 19 20
1.7355 1.7238 1.7134 1.7041 1.6958
2.4618 2.4374 2.4160 2.3970 2.3801
3.2389 3.1968 3.1599 3.1274 3.0984
4.0768 4.0112 3.9539 3.9034 3.8587
5.2922 5.1850 5.0919 5.0103 4.9382
6.3034 6.1556 6.0278 5.9161 5.8177
7.4027 7.2053 7.0351 6.8870 6.7569
9.0059 8.7269 8.4875 8.2799 8.0984
21 22 23 24 25
1.6884 1.6817 1.6755 1.6699 1.6648
2.3649 2.3512 2.3387 2.3274 2.3170
3.0725 3.0491 3.0280 3.0088 2.9912
3.8188 3.7829 3.7505 3.7211 3.6943
4.8740 4.8166 4.7649 4.7181 4.6755
5.7304 5.6524 5.5823 5.5190 5.4615
6.6417 6.5391 6.4470 6.3640 6.2889
7.9383 7.7960 7.6688 7.5545 7.4511
26 27 28 29 30
1.6601 1.6558 1.6517 1.6480 1.6445
2.3075 2.2987 2.2906 2.2831 2.2761
2.9752 2.9604 2.9467 2.9340 2.9223
3.6697 3.6472 3.6264 3.6072 3.5894
4.6366 4.6009 4.5681 4.5378 4.5097
5.4091 5.3611 5.3170 5.2764 5.2388
6.2204 6.1578 6.1004 6.0476 5.9987
7.3572 7.2715 7.1931 7.1210 7.0545
35 40 45 50 60
1.6302 1.6195 1.6113 1.6048 1.5950
2.2474 2.2261 2.2097 2.1967 2.1774
2.8742 2.8387 2.8115 2.7900 2.7581
3.5166 3.4633 3.4224 3.3902 3.3425
4.3957 4.3126 4.2492 4.1993 4.1259
5.0865 4.9758 4.8918 4.8259 4.7290
5.8016 5.6589 5.5509 5.4664 5.3425
6.7870 6.5945 6.4495 6.3364 6.1712
70 80 90 100 110
1.5881 1.5829 1.5789 1.5757 1.5731
2.1637 2.1535 2.1457 2.1394 2.1343
2.7355 2.7188 2.7058 2.6955 2.6871
3.3090 3.2841 3.2649 3.2496 3.2372
4.0744 4.0363 4.0070 3.9837 3.9648
4.6613 4.6113 4.5728 4.5424 4.5177
5.2562 5.1926 5.1438 5.1052 5.0739
6.0566 5.9723 5.9078 5.8568 5.8155
120 130 140 150 200 500
1.5709 1.5691 1.5675 1.5661 1.5614 1.5529
2.1300 2.1264 2.1233 2.1207 2.1114 2.0948
2.6802 2.6743 2.6693 2.6649 2.6498 2.6227
3.2269 3.2182 3.2108 3.2044 3.1820 3.1423
3.9491 3.9359 3.9246 3.9149 3.8810 3.8210
4.4972 4.4799 4.4652 4.4525 4.4084 4.3304
5.0479 5.0261 5.0075 4.9915 4.9358 4.8376
5.7814 5.7527 5.7282 5.7072 5.6341 5.5057
F
Numerador
4
α
Denominador
0.2
0.1
0.05
0.03
0.01
0.01
0
0
1 2 3 4 5
13.644 4.236 2.956 2.483 2.240
55.833 9.243 5.343 4.107 3.520
224.583 19.247 9.117 6.388 5.192
899.583 39.248 15.101 9.605 7.388
5624.583 99.249 28.710 15.977 11.392
22499.583 199.250 46.195 23.155 15.556
89999.583 399.250 73.948 33.303 21.048
562499.584 999.250 137.100 53.436 31.085
6 7 8 9 10
2.092 1.994 1.923 1.870 1.829
3.181 2.961 2.806 2.693 2.605
4.534 4.120 3.838 3.633 3.478
6.227 5.523 5.053 4.718 4.468
9.148 7.847 7.006 6.422 5.994
12.028 10.050 8.805 7.956 7.343
15.652 12.733 10.941 9.741 8.888
21.924 17.198 14.392 12.560 11.283
11 12 13 14 15
1.796 1.768 1.746 1.727 1.710
2.536 2.480 2.434 2.395 2.361
3.357 3.259 3.179 3.112 3.056
4.275 4.121 3.996 3.892 3.804
5.668 5.412 5.205 5.035 4.893
6.881 6.521 6.233 5.998 5.803
8.252 7.762 7.373 7.057 6.796
10.346 9.633 9.073 8.622 8.253
16 17 18 19 20
1.696 1.684 1.673 1.663 1.654
2.333 2.308 2.286 2.266 2.249
3.007 2.965 2.928 2.895 2.866
3.729 3.665 3.608 3.559 3.515
4.773 4.669 4.579 4.500 4.431
5.638 5.497 5.375 5.268 5.174
6.577 6.390 6.229 6.089 5.967
7.944 7.683 7.459 7.265 7.096
21 22 23 24 25
1.646 1.639 1.633 1.627 1.622
2.233 2.219 2.207 2.195 2.184
2.840 2.817 2.796 2.776 2.759
3.475 3.440 3.408 3.379 3.353
4.369 4.313 4.264 4.218 4.177
5.091 5.017 4.950 4.890 4.835
5.858 5.761 5.674 5.596 5.525
6.947 6.814 6.696 6.589 6.493
26 27 28 29 30
1.617 1.612 1.608 1.604 1.600
2.174 2.165 2.157 2.149 2.142
2.743 2.728 2.714 2.701 2.690
3.329 3.307 3.286 3.267 3.250
4.140 4.106 4.074 4.045 4.018
4.785 4.740 4.698 4.659 4.623
5.461 5.402 5.348 5.299 5.253
6.406 6.326 6.253 6.186 6.125
35 40 45 50 60
1.585 1.574 1.565 1.558 1.548
2.113 2.091 2.074 2.061 2.041
2.641 2.606 2.579 2.557 2.525
3.179 3.126 3.086 3.054 3.008
3.908 3.828 3.767 3.720 3.649
4.479 4.374 4.294 4.232 4.140
5.067 4.934 4.832 4.753 4.637
5.876 5.698 5.564 5.459 5.307
70 80 90 100 110
1.540 1.535 1.531 1.527 1.525
2.027 2.016 2.008 2.002 1.997
2.503 2.486 2.473 2.463 2.454
2.975 2.950 2.932 2.917 2.904
3.600 3.563 3.535 3.513 3.495
4.076 4.029 3.992 3.963 3.940
4.557 4.497 4.451 4.415 4.386
5.201 5.123 5.064 5.017 4.979
120 130 140 150 200 500
1.522 1.520 1.519 1.517 1.512 1.503
1.992 1.989 1.985 1.983 1.973 1.956
2.447 2.441 2.436 2.432 2.417 2.390
2.894 2.886 2.879 2.872 2.850 2.811
3.480 3.467 3.456 3.447 3.414 3.357
3.921 3.904 3.890 3.878 3.837 3.763
4.362 4.342 4.324 4.309 4.257 4.166
4.947 4.921 4.898 4.879 4.812 4.693
Numerador
5
F
α Denominador
0.2
0.1
0.05
0.03
0.01
0.01
0
0
1 2 3 4 5
14.008 4.284 2.965 2.478 2.228
57.240 9.293 5.309 4.051 3.453
230.162 19.296 9.013 6.256 5.050
921.848 39.298 14.885 9.364 7.146
5763.650 99.299 28.237 15.522 10.967
23055.798 199.300 45.392 22.456 14.940
92224.393 399.300 72.621 32.261 20.178
576404.556 999.300 134.580 51.712 29.752
6 7 8 9 10
2.076 1.974 1.900 1.846 1.803
3.108 2.883 2.726 2.611 2.522
4.387 3.972 3.687 3.482 3.326
5.988 5.285 4.817 4.484 4.236
8.746 7.460 6.632 6.057 5.636
11.464 9.522 8.302 7.471 6.872
14.884 12.031 10.283 9.116 8.288
20.803 16.206 13.485 11.714 10.481
11 12 13 14 15
1.768 1.740 1.717 1.697 1.680
2.451 2.394 2.347 2.307 2.273
3.204 3.106 3.025 2.958 2.901
4.044 3.891 3.767 3.663 3.576
5.316 5.064 4.862 4.695 4.556
6.422 6.071 5.791 5.562 5.372
7.671 7.196 6.820 6.515 6.263
9.578 8.892 8.354 7.922 7.567
16 17 18 19 20
1.665 1.652 1.641 1.631 1.622
2.244 2.218 2.196 2.176 2.158
2.852 2.810 2.773 2.740 2.711
3.502 3.438 3.382 3.333 3.289
4.437 4.336 4.248 4.171 4.103
5.212 5.075 4.956 4.853 4.762
6.051 5.871 5.716 5.581 5.463
7.272 7.022 6.808 6.622 6.461
21 22 23 24 25
1.614 1.606 1.599 1.593 1.588
2.142 2.128 2.115 2.103 2.092
2.685 2.661 2.640 2.621 2.603
3.250 3.215 3.183 3.155 3.129
4.042 3.988 3.939 3.895 3.855
4.681 4.609 4.544 4.486 4.433
5.358 5.265 5.181 5.106 5.038
6.318 6.191 6.078 5.977 5.885
26 27 28 29 30
1.583 1.578 1.573 1.569 1.565
2.082 2.073 2.064 2.057 2.049
2.587 2.572 2.558 2.545 2.534
3.105 3.083 3.063 3.044 3.026
3.818 3.785 3.754 3.725 3.699
4.384 4.340 4.300 4.262 4.228
4.976 4.920 4.868 4.820 4.776
5.802 5.726 5.656 5.593 5.534
35 40 45 50 60
1.550 1.538 1.529 1.522 1.511
2.019 1.997 1.980 1.966 1.946
2.485 2.449 2.422 2.400 2.368
2.956 2.904 2.864 2.833 2.786
3.592 3.514 3.454 3.408 3.339
4.088 3.986 3.909 3.849 3.760
4.598 4.470 4.372 4.297 4.185
5.298 5.128 5.001 4.901 4.757
70 80 90 100 110 120
1.503 1.497 1.493 1.489 1.487 1.484
1.931 1.921 1.912 1.906 1.900 1.896
2.346 2.329 2.316 2.305 2.297 2.290
2.754 2.730 2.711 2.696 2.684 2.674
3.291 3.255 3.228 3.206 3.188 3.174
3.698 3.652 3.617 3.589 3.567 3.548
4.108 4.051 4.008 3.973 3.945 3.922
4.656 4.582 4.526 4.482 4.445 4.416
130 140 150 200 500
1.482 1.480 1.479 1.474 1.464
1.892 1.889 1.886 1.876 1.859
2.284 2.279 2.274 2.259 2.232
2.666 2.658 2.652 2.630 2.592
3.161 3.151 3.142 3.110 3.054
3.533 3.519 3.508 3.467 3.396
3.902 3.886 3.871 3.822 3.734
4.391 4.369 4.351 4.287 4.176
Numerador
6
F
α Denominador
0.2
0.1
0.05
0.03
0.01
0.01
0
0
1 2 3 4 5
14.258 4.317 2.971 2.473 2.217
58.204 9.326 5.285 4.010 3.405
233.986 19.330 8.941 6.163 4.950
937.111 39.331 14.735 9.197 6.978
5858.986 99.333 27.911 15.207 10.672
23437.111 199.333 44.838 21.975 14.513
93749.611 399.333 71.708 31.543 19.578
585937.114 999.333 132.847 50.525 28.834
6 7 8 9 10
2.062 1.957 1.883 1.826 1.782
3.055 2.827 2.668 2.551 2.461
4.284 3.866 3.581 3.374 3.217
5.820 5.119 4.652 4.320 4.072
8.466 7.191 6.371 5.802 5.386
11.073 9.155 7.952 7.134 6.545
14.354 11.545 9.828 8.683 7.871
20.030 15.521 12.858 11.128 9.926
11 12 13 14 15
1.747 1.718 1.694 1.674 1.656
2.389 2.331 2.283 2.243 2.208
3.095 2.996 2.915 2.848 2.790
3.881 3.728 3.604 3.501 3.415
5.069 4.821 4.620 4.456 4.318
6.102 5.757 5.482 5.257 5.071
7.268 6.803 6.435 6.137 5.891
9.047 8.379 7.856 7.436 7.092
16 17 18 19 20
1.641 1.628 1.616 1.605 1.596
2.178 2.152 2.130 2.109 2.091
2.741 2.699 2.661 2.628 2.599
3.341 3.277 3.221 3.172 3.128
4.202 4.102 4.015 3.939 3.871
4.913 4.779 4.663 4.561 4.472
5.684 5.509 5.357 5.226 5.111
6.805 6.562 6.355 6.175 6.019
21 22 23 24 25
1.588 1.580 1.573 1.567 1.561
2.075 2.060 2.047 2.035 2.024
2.573 2.549 2.528 2.508 2.490
3.090 3.055 3.023 2.995 2.969
3.812 3.758 3.710 3.667 3.627
4.393 4.322 4.259 4.202 4.150
5.009 4.918 4.837 4.763 4.697
5.881 5.758 5.649 5.550 5.462
26 27 28 29 30
1.556 1.551 1.546 1.542 1.538
2.014 2.005 1.996 1.988 1.980
2.474 2.459 2.445 2.432 2.421
2.945 2.923 2.903 2.884 2.867
3.591 3.558 3.528 3.499 3.473
4.103 4.059 4.020 3.983 3.949
4.637 4.582 4.531 4.485 4.442
5.381 5.308 5.241 5.179 5.122
35 40 45 50 60
1.521 1.509 1.500 1.492 1.481
1.950 1.927 1.909 1.895 1.875
2.372 2.336 2.308 2.286 2.254
2.796 2.744 2.705 2.674 2.627
3.368 3.291 3.232 3.186 3.119
3.812 3.713 3.638 3.579 3.492
4.269 4.144 4.050 3.976 3.868
4.894 4.731 4.608 4.512 4.372
70 80 90 100 110
1.473 1.467 1.463 1.459 1.456
1.860 1.849 1.841 1.834 1.828
2.231 2.214 2.201 2.191 2.182
2.595 2.571 2.552 2.537 2.525
3.071 3.036 3.009 2.988 2.970
3.431 3.387 3.352 3.325 3.303
3.793 3.738 3.695 3.662 3.635
4.275 4.204 4.150 4.107 4.072
120 130 140 150 200 500
1.454 1.452 1.450 1.448 1.443 1.433
1.824 1.820 1.817 1.814 1.804 1.786
2.175 2.169 2.164 2.160 2.144 2.117
2.515 2.507 2.500 2.494 2.472 2.434
2.956 2.944 2.933 2.924 2.893 2.838
3.285 3.270 3.256 3.245 3.206 3.137
3.612 3.593 3.577 3.563 3.515 3.430
4.044 4.020 3.999 3.981 3.920 3.813
0.05
0.03
0.01
0.01
0
0
Numerador Denominador
2 0.2
0.1
α
F 1 2 3 4 5
12.000 4.000 2.886 2.472 2.259
49.500 9.000 5.462 4.325 3.780
199.500 19.000 9.552 6.944 5.786
799.500 39.000 16.044 10.649 8.434
4999.500 99.000 30.817 18.000 13.274
19999.250 199.000 49.799 26.284 18.314
79999.500 399.000 79.933 38.000 24.964
499999.502 999.000 148.500 61.246 37.122
6 7 8 9 10
2.130 2.043 1.981 1.935 1.899
3.463 3.257 3.113 3.006 2.924
5.143 4.737 4.459 4.256 4.103
7.260 6.542 6.059 5.715 5.456
10.925 9.547 8.649 8.022 7.559
14.544 12.404 11.042 10.107 9.427
19.104 15.887 13.889 12.539 11.572
27.000 21.689 18.494 16.387 14.905
11 12 13 14 15
1.870 1.846 1.826 1.809 1.795
2.860 2.807 2.763 2.726 2.695
3.982 3.885 3.806 3.739 3.682
5.256 5.096 4.965 4.857 4.765
7.206 6.927 6.701 6.515 6.359
8.912 8.510 8.186 7.922 7.701
10.848 10.287 9.839 9.475 9.173
13.812 12.974 12.313 11.779 11.339
16 17 18 19 20
1.783 1.772 1.762 1.754 1.746
2.668 2.645 2.624 2.606 2.589
3.634 3.592 3.555 3.522 3.493
4.687 4.619 4.560 4.508 4.461
6.226 6.112 6.013 5.926 5.849
7.514 7.354 7.215 7.093 6.986
8.918 8.701 8.513 8.349 8.206
10.971 10.658 10.390 10.157 9.953
21 22 23 24 25
1.739 1.733 1.728 1.722 1.718
2.575 2.561 2.549 2.538 2.528
3.467 3.443 3.422 3.403 3.385
4.420 4.383 4.349 4.319 4.291
5.780 5.719 5.664 5.614 5.568
6.891 6.806 6.730 6.661 6.598
8.078 7.965 7.863 7.771 7.687
9.772 9.612 9.469 9.339 9.223
26 27 28 29 30
1.713 1.709 1.706 1.702 1.699
2.519 2.511 2.503 2.495 2.489
3.369 3.354 3.340 3.328 3.316
4.265 4.242 4.221 4.201 4.182
5.526 5.488 5.453 5.420 5.390
6.541 6.489 6.440 6.396 6.355
7.611 7.542 7.478 7.419 7.365
9.116 9.019 8.931 8.849 8.773
35 40 45 50 60
1.686 1.676 1.668 1.662 1.653
2.461 2.440 2.425 2.412 2.393
3.267 3.232 3.204 3.183 3.150
4.106 4.051 4.009 3.975 3.925
5.268 5.179 5.110 5.057 4.977
6.188 6.066 5.974 5.902 5.795
7.145 6.986 6.865 6.770 6.632
8.470 8.251 8.086 7.956 7.768
70 80 90 100
1.647 1.642 1.639 1.636
2.380 2.370 2.363 2.356
3.128 3.111 3.098 3.087
3.890 3.864 3.844 3.828
4.922 4.881 4.849 4.824
5.720 5.665 5.623 5.589
6.535 6.463 6.409 6.365
7.637 7.540 7.466 7.408
110 120 130 140 150 200 500
1.633 1.631 1.630 1.628 1.627 1.622 1.615
2.351 2.347 2.344 2.341 2.338 2.329 2.313
3.079 3.072 3.066 3.061 3.056 3.041 3.014
3.815 3.805 3.796 3.788 3.781 3.758 3.716
4.803 4.787 4.772 4.760 4.749 4.713 4.648
5.562 5.539 5.520 5.504 5.490 5.441 5.355
6.330 6.301 6.276 6.255 6.237 6.175 6.064
7.360 7.321 7.288 7.260 7.236 7.152 7.004
