Distribuci´on t-Student

P[X≤x] = Rx

−∞

Γ( θ+1

Γ( θ

2)·1

√θπ ·1

(1+ u2

θ)

θ+1

0.005 0.01 0.025 0.05 0.075 0.1 0.125 0.15 0.175 0.2 0.25 0.3 0.35 0.4 0.45

1 -63.657 -31.821 -12.706 -6.314 -4.165 -3.078 -2.414 -1.963 -1.632 -1.376 -1.000 -0.727 -0.510 -0.325 -0.158

2-9.925 -6.965 -4.303 -2.920 -2.282 -1.886 -1.604 -1.386 -1.210 -1.061 -0.816 -0.617 -0.445 -0.289 -0.142

3-5.841 -4.541 -3.182 -2.353 -1.924 -1.638 -1.423 -1.250 -1.105 -0.978 -0.765 -0.584 -0.424 -0.277 -0.137

4-4.604 -3.747 -2.776 -2.132 -1.778 -1.533 -1.344 -1.190 -1.057 -0.941 -0.741 -0.569 -0.414 -0.271 -0.134

5-4.032 -3.365 -2.571 -2.015 -1.699 -1.476 -1.301 -1.156 -1.031 -0.920 -0.727 -0.559 -0.408 -0.267 -0.132

6 -3.707 -3.143 -2.447 -1.943 -1.650 -1.440 -1.273 -1.134 -1.013 -0.906 -0.718 -0.553 -0.404 -0.265 -0.131

7-3.499 -2.998 -2.365 -1.895 -1.617 -1.415 -1.254 -1.119 -1.001 -0.896 -0.711 -0.549 -0.402 -0.263 -0.130

8-3.355 -2.896 -2.306 -1.860 -1.592 -1.397 -1.240 -1.108 -0.993 -0.889 -0.706 -0.546 -0.399 -0.262 -0.130

9-3.250 -2.821 -2.262 -1.833 -1.574 -1.383 -1.230 -1.100 -0.986 -0.883 -0.703 -0.543 -0.398 -0.261 -0.129

10 -3.169 -2.764 -2.228 -1.812 -1.559 -1.372 -1.221 -1.093 -0.980 -0.879 -0.700 -0.542 -0.397 -0.260 -0.129

11 -3.106 -2.718 -2.201 -1.796 -1.548 -1.363 -1.214 -1.088 -0.976 -0.876 -0.697 -0.540 -0.396 -0.260 -0.129

12 -3.055 -2.681 -2.179 -1.782 -1.538 -1.356 -1.209 -1.083 -0.972 -0.873 -0.695 -0.539 -0.395 -0.259 -0.128

13 -3.012 -2.650 -2.160 -1.771 -1.530 -1.350 -1.204 -1.079 -0.969 -0.870 -0.694 -0.538 -0.394 -0.259 -0.128

14 -2.977 -2.624 -2.145 -1.761 -1.523 -1.345 -1.200 -1.076 -0.967 -0.868 -0.692 -0.537 -0.393 -0.258 -0.128

15 -2.947 -2.602 -2.131 -1.753 -1.517 -1.341 -1.197 -1.074 -0.965 -0.866 -0.691 -0.536 -0.393 -0.258 -0.128

16 -2.921 -2.583 -2.120 -1.746 -1.512 -1.337 -1.194 -1.071 -0.963 -0.865 -0.690 -0.535 -0.392 -0.258 -0.128

17 -2.898 -2.567 -2.110 -1.740 -1.508 -1.333 -1.191 -1.069 -0.961 -0.863 -0.689 -0.534 -0.392 -0.257 -0.128

18 -2.878 -2.552 -2.101 -1.734 -1.504 -1.330 -1.189 -1.067 -0.960 -0.862 -0.688 -0.534 -0.392 -0.257 -0.127

19 -2.861 -2.539 -2.093 -1.729 -1.500 -1.328 -1.187 -1.066 -0.958 -0.861 -0.688 -0.533 -0.391 -0.257 -0.127

20 -2.845 -2.528 -2.086 -1.725 -1.497 -1.325 -1.185 -1.064 -0.957 -0.860 -0.687 -0.533 -0.391 -0.257 -0.127

21 -2.831 -2.518 -2.080 -1.721 -1.494 -1.323 -1.183 -1.063 -0.956 -0.859 -0.686 -0.532 -0.391 -0.257 -0.127

22 -2.819 -2.508 -2.074 -1.717 -1.492 -1.321 -1.182 -1.061 -0.955 -0.858 -0.686 -0.532 -0.390 -0.256 -0.127

23 -2.807 -2.500 -2.069 -1.714 -1.489 -1.319 -1.180 -1.060 -0.954 -0.858 -0.685 -0.532 -0.390 -0.256 -0.127

24 -2.797 -2.492 -2.064 -1.711 -1.487 -1.318 -1.179 -1.059 -0.953 -0.857 -0.685 -0.531 -0.390 -0.256 -0.127

25 -2.787 -2.485 -2.060 -1.708 -1.485 -1.316 -1.178 -1.058 -0.952 -0.856 -0.684 -0.531 -0.390 -0.256 -0.127

26 -2.779 -2.479 -2.056 -1.706 -1.483 -1.315 -1.177 -1.058 -0.952 -0.856 -0.684 -0.531 -0.390 -0.256 -0.127

27 -2.771 -2.473 -2.052 -1.703 -1.482 -1.314 -1.176 -1.057 -0.951 -0.855 -0.684 -0.531 -0.389 -0.256 -0.127

28 -2.763 -2.467 -2.048 -1.701 -1.480 -1.313 -1.175 -1.056 -0.950 -0.855 -0.683 -0.530 -0.389 -0.256 -0.127

29 -2.756 -2.462 -2.045 -1.699 -1.479 -1.311 -1.174 -1.055 -0.950 -0.854 -0.683 -0.530 -0.389 -0.256 -0.127

30 -2.750 -2.457 -2.042 -1.697 -1.477 -1.310 -1.173 -1.055 -0.949 -0.854 -0.683 -0.530 -0.389 -0.256 -0.127

31 -2.744 -2.453 -2.040 -1.696 -1.476 -1.309 -1.172 -1.054 -0.949 -0.853 -0.682 -0.530 -0.389 -0.256 -0.127

32 -2.738 -2.449 -2.037 -1.694 -1.475 -1.309 -1.172 -1.054 -0.948 -0.853 -0.682 -0.530 -0.389 -0.255 -0.127

33 -2.733 -2.445 -2.035 -1.692 -1.474 -1.308 -1.171 -1.053 -0.948 -0.853 -0.682 -0.530 -0.389 -0.255 -0.127

34 -2.728 -2.441 -2.032 -1.691 -1.473 -1.307 -1.170 -1.052 -0.948 -0.852 -0.682 -0.529 -0.389 -0.255 -0.127

35 -2.724 -2.438 -2.030 -1.690 -1.472 -1.306 -1.170 -1.052 -0.947 -0.852 -0.682 -0.529 -0.388 -0.255 -0.127

36 -2.719 -2.434 -2.028 -1.688 -1.471 -1.306 -1.169 -1.052 -0.947 -0.852 -0.681 -0.529 -0.388 -0.255 -0.127

37 -2.715 -2.431 -2.026 -1.687 -1.470 -1.305 -1.169 -1.051 -0.947 -0.851 -0.681 -0.529 -0.388 -0.255 -0.127

38 -2.712 -2.429 -2.024 -1.686 -1.469 -1.304 -1.168 -1.051 -0.946 -0.851 -0.681 -0.529 -0.388 -0.255 -0.127

39 -2.708 -2.426 -2.023 -1.685 -1.468 -1.304 -1.168 -1.050 -0.946 -0.851 -0.681 -0.529 -0.388 -0.255 -0.126

40 -2.704 -2.423 -2.021 -1.684 -1.468 -1.303 -1.167 -1.050 -0.946 -0.851 -0.681 -0.529 -0.388 -0.255 -0.126

41 -2.701 -2.421 -2.020 -1.683 -1.467 -1.303 -1.167 -1.050 -0.945 -0.850 -0.681 -0.529 -0.388 -0.255 -0.126

42 -2.698 -2.418 -2.018 -1.682 -1.466 -1.302 -1.166 -1.049 -0.945 -0.850 -0.680 -0.528 -0.388 -0.255 -0.126

43 -2.695 -2.416 -2.017 -1.681 -1.466 -1.302 -1.166 -1.049 -0.945 -0.850 -0.680 -0.528 -0.388 -0.255 -0.126

44 -2.692 -2.414 -2.015 -1.680 -1.465 -1.301 -1.166 -1.049 -0.945 -0.850 -0.680 -0.528 -0.388 -0.255 -0.126

45 -2.690 -2.412 -2.014 -1.679 -1.465 -1.301 -1.165 -1.049 -0.944 -0.850 -0.680 -0.528 -0.388 -0.255 -0.126

46 -2.687 -2.410 -2.013 -1.679 -1.464 -1.300 -1.165 -1.048 -0.944 -0.850 -0.680 -0.528 -0.388 -0.255 -0.126

47 -2.685 -2.408 -2.012 -1.678 -1.463 -1.300 -1.165 -1.048 -0.944 -0.849 -0.680 -0.528 -0.388 -0.255 -0.126

48 -2.682 -2.407 -2.011 -1.677 -1.463 -1.299 -1.164 -1.048 -0.944 -0.849 -0.680 -0.528 -0.388 -0.255 -0.126

49 -2.680 -2.405 -2.010 -1.677 -1.462 -1.299 -1.164 -1.048 -0.944 -0.849 -0.680 -0.528 -0.388 -0.255 -0.126

50 -2.678 -2.403 -2.009 -1.676 -1.462 -1.299 -1.164 -1.047 -0.943 -0.849 -0.679 -0.528 -0.388 -0.255 -0.126

60 -2.660 -2.390 -2.000 -1.671 -1.458 -1.296 -1.162 -1.045 -0.942 -0.848 -0.679 -0.527 -0.387 -0.254 -0.126

70 -2.648 -2.381 -1.994 -1.667 -1.456 -1.294 -1.160 -1.044 -0.941 -0.847 -0.678 -0.527 -0.387 -0.254 -0.126

80 -2.639 -2.374 -1.990 -1.664 -1.453 -1.292 -1.159 -1.043 -0.940 -0.846 -0.678 -0.526 -0.387 -0.254 -0.126

90 -2.632 -2.368 -1.987 -1.662 -1.452 -1.291 -1.158 -1.042 -0.939 -0.846 -0.677 -0.526 -0.387 -0.254 -0.126

100 -2.626 -2.364 -1.984 -1.660 -1.451 -1.290 -1.157 -1.042 -0.939 -0.845 -0.677 -0.526 -0.386 -0.254 -0.126

110 -2.621 -2.361 -1.982 -1.659 -1.450 -1.289 -1.156 -1.041 -0.939 -0.845 -0.677 -0.526 -0.386 -0.254 -0.126

120 -2.617 -2.358 -1.980 -1.658 -1.449 -1.289 -1.156 -1.041 -0.938 -0.845 -0.677 -0.526 -0.386 -0.254 -0.126

130 -2.614 -2.355 -1.978 -1.657 -1.448 -1.288 -1.156 -1.041 -0.938 -0.844 -0.676 -0.526 -0.386 -0.254 -0.126

140 -2.611 -2.353 -1.977 -1.656 -1.447 -1.288 -1.155 -1.040 -0.938 -0.844 -0.676 -0.526 -0.386 -0.254 -0.126

150 -2.609 -2.351 -1.976 -1.655 -1.447 -1.287 -1.155 -1.040 -0.938 -0.844 -0.676 -0.526 -0.386 -0.254 -0.126

160 -2.607 -2.350 -1.975 -1.654 -1.446 -1.287 -1.155 -1.040 -0.937 -0.844 -0.676 -0.525 -0.386 -0.254 -0.126

170 -2.605 -2.348 -1.974 -1.654 -1.446 -1.287 -1.154 -1.040 -0.937 -0.844 -0.676 -0.525 -0.386 -0.254 -0.126

180 -2.603 -2.347 -1.973 -1.653 -1.446 -1.286 -1.154 -1.039 -0.937 -0.844 -0.676 -0.525 -0.386 -0.254 -0.126

190 -2.602 -2.346 -1.973 -1.653 -1.445 -1.286 -1.154 -1.039 -0.937 -0.844 -0.676 -0.525 -0.386 -0.254 -0.126

200 -2.601 -2.345 -1.972 -1.653 -1.445 -1.286 -1.154 -1.039 -0.937 -0.843 -0.676 -0.525 -0.386 -0.254 -0.126

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Distribuci´on t-Student

P [X ≤ x] =

∫ x

−∞

Γ( θ+1 2 ) 2

Distribuci´on t-Student

P [X ≤ x] =

∫ x

−∞ Γ( θ+1 2 ) 2

 - √ Γ( θ 2 ) · - · θπ - θ+ (1+ u θ^2 ) - 0.005 0.01 0.025 0.05 0.075 0.1 0.125 0.15 0.175 0.2 0.25 0.3 0.35 0.4 0. du - 1 -63.657 -31.821 -12.706 -6.314 -4.165 -3.078 -2.414 -1.963 -1.632 -1.376 -1.000 -0.727 -0.510 -0.325 -0. - 2 -9.925 -6.965 -4.303 -2.920 -2.282 -1.886 -1.604 -1.386 -1.210 -1.061 -0.816 -0.617 -0.445 -0.289 -0. - 3 -5.841 -4.541 -3.182 -2.353 -1.924 -1.638 -1.423 -1.250 -1.105 -0.978 -0.765 -0.584 -0.424 -0.277 -0. - 4 -4.604 -3.747 -2.776 -2.132 -1.778 -1.533 -1.344 -1.190 -1.057 -0.941 -0.741 -0.569 -0.414 -0.271 -0. - 5 -4.032 -3.365 -2.571 -2.015 -1.699 -1.476 -1.301 -1.156 -1.031 -0.920 -0.727 -0.559 -0.408 -0.267 -0. - 6 -3.707 -3.143 -2.447 -1.943 -1.650 -1.440 -1.273 -1.134 -1.013 -0.906 -0.718 -0.553 -0.404 -0.265 -0. - 7 -3.499 -2.998 -2.365 -1.895 -1.617 -1.415 -1.254 -1.119 -1.001 -0.896 -0.711 -0.549 -0.402 -0.263 -0. - 8 -3.355 -2.896 -2.306 -1.860 -1.592 -1.397 -1.240 -1.108 -0.993 -0.889 -0.706 -0.546 -0.399 -0.262 -0. - 9 -3.250 -2.821 -2.262 -1.833 -1.574 -1.383 -1.230 -1.100 -0.986 -0.883 -0.703 -0.543 -0.398 -0.261 -0.

10 -3.169 -2.764 -2.228 -1.812 -1.559 -1.372 -1.221 -1.093 -0.980 -0.879 -0.700 -0.542 -0.397 -0.260 -0.
11 -3.106 -2.718 -2.201 -1.796 -1.548 -1.363 -1.214 -1.088 -0.976 -0.876 -0.697 -0.540 -0.396 -0.260 -0.
12 -3.055 -2.681 -2.179 -1.782 -1.538 -1.356 -1.209 -1.083 -0.972 -0.873 -0.695 -0.539 -0.395 -0.259 -0.
13 -3.012 -2.650 -2.160 -1.771 -1.530 -1.350 -1.204 -1.079 -0.969 -0.870 -0.694 -0.538 -0.394 -0.259 -0.
14 -2.977 -2.624 -2.145 -1.761 -1.523 -1.345 -1.200 -1.076 -0.967 -0.868 -0.692 -0.537 -0.393 -0.258 -0.
15 -2.947 -2.602 -2.131 -1.753 -1.517 -1.341 -1.197 -1.074 -0.965 -0.866 -0.691 -0.536 -0.393 -0.258 -0.
16 -2.921 -2.583 -2.120 -1.746 -1.512 -1.337 -1.194 -1.071 -0.963 -0.865 -0.690 -0.535 -0.392 -0.258 -0.
17 -2.898 -2.567 -2.110 -1.740 -1.508 -1.333 -1.191 -1.069 -0.961 -0.863 -0.689 -0.534 -0.392 -0.257 -0.
18 -2.878 -2.552 -2.101 -1.734 -1.504 -1.330 -1.189 -1.067 -0.960 -0.862 -0.688 -0.534 -0.392 -0.257 -0.
19 -2.861 -2.539 -2.093 -1.729 -1.500 -1.328 -1.187 -1.066 -0.958 -0.861 -0.688 -0.533 -0.391 -0.257 -0.
20 -2.845 -2.528 -2.086 -1.725 -1.497 -1.325 -1.185 -1.064 -0.957 -0.860 -0.687 -0.533 -0.391 -0.257 -0.
21 -2.831 -2.518 -2.080 -1.721 -1.494 -1.323 -1.183 -1.063 -0.956 -0.859 -0.686 -0.532 -0.391 -0.257 -0.
22 -2.819 -2.508 -2.074 -1.717 -1.492 -1.321 -1.182 -1.061 -0.955 -0.858 -0.686 -0.532 -0.390 -0.256 -0.
23 -2.807 -2.500 -2.069 -1.714 -1.489 -1.319 -1.180 -1.060 -0.954 -0.858 -0.685 -0.532 -0.390 -0.256 -0.
24 -2.797 -2.492 -2.064 -1.711 -1.487 -1.318 -1.179 -1.059 -0.953 -0.857 -0.685 -0.531 -0.390 -0.256 -0.
25 -2.787 -2.485 -2.060 -1.708 -1.485 -1.316 -1.178 -1.058 -0.952 -0.856 -0.684 -0.531 -0.390 -0.256 -0.
26 -2.779 -2.479 -2.056 -1.706 -1.483 -1.315 -1.177 -1.058 -0.952 -0.856 -0.684 -0.531 -0.390 -0.256 -0.
27 -2.771 -2.473 -2.052 -1.703 -1.482 -1.314 -1.176 -1.057 -0.951 -0.855 -0.684 -0.531 -0.389 -0.256 -0.
28 -2.763 -2.467 -2.048 -1.701 -1.480 -1.313 -1.175 -1.056 -0.950 -0.855 -0.683 -0.530 -0.389 -0.256 -0.
29 -2.756 -2.462 -2.045 -1.699 -1.479 -1.311 -1.174 -1.055 -0.950 -0.854 -0.683 -0.530 -0.389 -0.256 -0.
30 -2.750 -2.457 -2.042 -1.697 -1.477 -1.310 -1.173 -1.055 -0.949 -0.854 -0.683 -0.530 -0.389 -0.256 -0.
31 -2.744 -2.453 -2.040 -1.696 -1.476 -1.309 -1.172 -1.054 -0.949 -0.853 -0.682 -0.530 -0.389 -0.256 -0.
32 -2.738 -2.449 -2.037 -1.694 -1.475 -1.309 -1.172 -1.054 -0.948 -0.853 -0.682 -0.530 -0.389 -0.255 -0.
33 -2.733 -2.445 -2.035 -1.692 -1.474 -1.308 -1.171 -1.053 -0.948 -0.853 -0.682 -0.530 -0.389 -0.255 -0.
34 -2.728 -2.441 -2.032 -1.691 -1.473 -1.307 -1.170 -1.052 -0.948 -0.852 -0.682 -0.529 -0.389 -0.255 -0.
35 -2.724 -2.438 -2.030 -1.690 -1.472 -1.306 -1.170 -1.052 -0.947 -0.852 -0.682 -0.529 -0.388 -0.255 -0.
36 -2.719 -2.434 -2.028 -1.688 -1.471 -1.306 -1.169 -1.052 -0.947 -0.852 -0.681 -0.529 -0.388 -0.255 -0.
37 -2.715 -2.431 -2.026 -1.687 -1.470 -1.305 -1.169 -1.051 -0.947 -0.851 -0.681 -0.529 -0.388 -0.255 -0.
38 -2.712 -2.429 -2.024 -1.686 -1.469 -1.304 -1.168 -1.051 -0.946 -0.851 -0.681 -0.529 -0.388 -0.255 -0.
39 -2.708 -2.426 -2.023 -1.685 -1.468 -1.304 -1.168 -1.050 -0.946 -0.851 -0.681 -0.529 -0.388 -0.255 -0.
40 -2.704 -2.423 -2.021 -1.684 -1.468 -1.303 -1.167 -1.050 -0.946 -0.851 -0.681 -0.529 -0.388 -0.255 -0.
41 -2.701 -2.421 -2.020 -1.683 -1.467 -1.303 -1.167 -1.050 -0.945 -0.850 -0.681 -0.529 -0.388 -0.255 -0.
42 -2.698 -2.418 -2.018 -1.682 -1.466 -1.302 -1.166 -1.049 -0.945 -0.850 -0.680 -0.528 -0.388 -0.255 -0.
43 -2.695 -2.416 -2.017 -1.681 -1.466 -1.302 -1.166 -1.049 -0.945 -0.850 -0.680 -0.528 -0.388 -0.255 -0.
44 -2.692 -2.414 -2.015 -1.680 -1.465 -1.301 -1.166 -1.049 -0.945 -0.850 -0.680 -0.528 -0.388 -0.255 -0.
45 -2.690 -2.412 -2.014 -1.679 -1.465 -1.301 -1.165 -1.049 -0.944 -0.850 -0.680 -0.528 -0.388 -0.255 -0.
46 -2.687 -2.410 -2.013 -1.679 -1.464 -1.300 -1.165 -1.048 -0.944 -0.850 -0.680 -0.528 -0.388 -0.255 -0.
47 -2.685 -2.408 -2.012 -1.678 -1.463 -1.300 -1.165 -1.048 -0.944 -0.849 -0.680 -0.528 -0.388 -0.255 -0.
48 -2.682 -2.407 -2.011 -1.677 -1.463 -1.299 -1.164 -1.048 -0.944 -0.849 -0.680 -0.528 -0.388 -0.255 -0.
49 -2.680 -2.405 -2.010 -1.677 -1.462 -1.299 -1.164 -1.048 -0.944 -0.849 -0.680 -0.528 -0.388 -0.255 -0.
50 -2.678 -2.403 -2.009 -1.676 -1.462 -1.299 -1.164 -1.047 -0.943 -0.849 -0.679 -0.528 -0.388 -0.255 -0.
60 -2.660 -2.390 -2.000 -1.671 -1.458 -1.296 -1.162 -1.045 -0.942 -0.848 -0.679 -0.527 -0.387 -0.254 -0.
70 -2.648 -2.381 -1.994 -1.667 -1.456 -1.294 -1.160 -1.044 -0.941 -0.847 -0.678 -0.527 -0.387 -0.254 -0.
80 -2.639 -2.374 -1.990 -1.664 -1.453 -1.292 -1.159 -1.043 -0.940 -0.846 -0.678 -0.526 -0.387 -0.254 -0.
90 -2.632 -2.368 -1.987 -1.662 -1.452 -1.291 -1.158 -1.042 -0.939 -0.846 -0.677 -0.526 -0.387 -0.254 -0.
100 -2.626 -2.364 -1.984 -1.660 -1.451 -1.290 -1.157 -1.042 -0.939 -0.845 -0.677 -0.526 -0.386 -0.254 -0.
110 -2.621 -2.361 -1.982 -1.659 -1.450 -1.289 -1.156 -1.041 -0.939 -0.845 -0.677 -0.526 -0.386 -0.254 -0.
120 -2.617 -2.358 -1.980 -1.658 -1.449 -1.289 -1.156 -1.041 -0.938 -0.845 -0.677 -0.526 -0.386 -0.254 -0.
130 -2.614 -2.355 -1.978 -1.657 -1.448 -1.288 -1.156 -1.041 -0.938 -0.844 -0.676 -0.526 -0.386 -0.254 -0.
140 -2.611 -2.353 -1.977 -1.656 -1.447 -1.288 -1.155 -1.040 -0.938 -0.844 -0.676 -0.526 -0.386 -0.254 -0.
150 -2.609 -2.351 -1.976 -1.655 -1.447 -1.287 -1.155 -1.040 -0.938 -0.844 -0.676 -0.526 -0.386 -0.254 -0.
160 -2.607 -2.350 -1.975 -1.654 -1.446 -1.287 -1.155 -1.040 -0.937 -0.844 -0.676 -0.525 -0.386 -0.254 -0.
170 -2.605 -2.348 -1.974 -1.654 -1.446 -1.287 -1.154 -1.040 -0.937 -0.844 -0.676 -0.525 -0.386 -0.254 -0.
180 -2.603 -2.347 -1.973 -1.653 -1.446 -1.286 -1.154 -1.039 -0.937 -0.844 -0.676 -0.525 -0.386 -0.254 -0.
190 -2.602 -2.346 -1.973 -1.653 -1.445 -1.286 -1.154 -1.039 -0.937 -0.844 -0.676 -0.525 -0.386 -0.254 -0.
200 -2.601 -2.345 -1.972 -1.653 -1.445 -1.286 -1.154 -1.039 -0.937 -0.843 -0.676 -0.525 -0.386 -0.254 -0. - √ Γ( θ 2 ) · - · θπ - θ+ (1+ u θ^2 ) - 0.55 0.6 0.65 0.7 0.75 0.8 0.85 0.875 0.9 0.925 0.95 0.975 0.99 0.995 0. du - 1 0.158 0.325 0.510 0.727 1.000 1.376 1.963 2.414 3.078 4.165 6.314 12.706 31.821 63.657 318. - 2 0.142 0.289 0.445 0.617 0.816 1.061 1.386 1.604 1.886 2.282 2.920 4.303 6.965 9.925 22. - 3 0.137 0.277 0.424 0.584 0.765 0.978 1.250 1.423 1.638 1.924 2.353 3.182 4.541 5.841 10. - 4 0.134 0.271 0.414 0.569 0.741 0.941 1.190 1.344 1.533 1.778 2.132 2.776 3.747 4.604 7. - 5 0.132 0.267 0.408 0.559 0.727 0.920 1.156 1.301 1.476 1.699 2.015 2.571 3.365 4.032 5. - 6 0.131 0.265 0.404 0.553 0.718 0.906 1.134 1.273 1.440 1.650 1.943 2.447 3.143 3.707 5. - 7 0.130 0.263 0.402 0.549 0.711 0.896 1.119 1.254 1.415 1.617 1.895 2.365 2.998 3.499 4. - 8 0.130 0.262 0.399 0.546 0.706 0.889 1.108 1.240 1.397 1.592 1.860 2.306 2.896 3.355 4. - 9 0.129 0.261 0.398 0.543 0.703 0.883 1.100 1.230 1.383 1.574 1.833 2.262 2.821 3.250 4.
- 10 0.129 0.260 0.397 0.542 0.700 0.879 1.093 1.221 1.372 1.559 1.812 2.228 2.764 3.169 4.
- 11 0.129 0.260 0.396 0.540 0.697 0.876 1.088 1.214 1.363 1.548 1.796 2.201 2.718 3.106 4.
- 12 0.128 0.259 0.395 0.539 0.695 0.873 1.083 1.209 1.356 1.538 1.782 2.179 2.681 3.055 3.
- 13 0.128 0.259 0.394 0.538 0.694 0.870 1.079 1.204 1.350 1.530 1.771 2.160 2.650 3.012 3.
- 14 0.128 0.258 0.393 0.537 0.692 0.868 1.076 1.200 1.345 1.523 1.761 2.145 2.624 2.977 3.
- 15 0.128 0.258 0.393 0.536 0.691 0.866 1.074 1.197 1.341 1.517 1.753 2.131 2.602 2.947 3.
- 16 0.128 0.258 0.392 0.535 0.690 0.865 1.071 1.194 1.337 1.512 1.746 2.120 2.583 2.921 3.
- 17 0.128 0.257 0.392 0.534 0.689 0.863 1.069 1.191 1.333 1.508 1.740 2.110 2.567 2.898 3.
- 18 0.127 0.257 0.392 0.534 0.688 0.862 1.067 1.189 1.330 1.504 1.734 2.101 2.552 2.878 3.
- 19 0.127 0.257 0.391 0.533 0.688 0.861 1.066 1.187 1.328 1.500 1.729 2.093 2.539 2.861 3.
- 20 0.127 0.257 0.391 0.533 0.687 0.860 1.064 1.185 1.325 1.497 1.725 2.086 2.528 2.845 3.
- 21 0.127 0.257 0.391 0.532 0.686 0.859 1.063 1.183 1.323 1.494 1.721 2.080 2.518 2.831 3.
- 22 0.127 0.256 0.390 0.532 0.686 0.858 1.061 1.182 1.321 1.492 1.717 2.074 2.508 2.819 3.
- 23 0.127 0.256 0.390 0.532 0.685 0.858 1.060 1.180 1.319 1.489 1.714 2.069 2.500 2.807 3.
- 24 0.127 0.256 0.390 0.531 0.685 0.857 1.059 1.179 1.318 1.487 1.711 2.064 2.492 2.797 3.
- 25 0.127 0.256 0.390 0.531 0.684 0.856 1.058 1.178 1.316 1.485 1.708 2.060 2.485 2.787 3.
- 26 0.127 0.256 0.390 0.531 0.684 0.856 1.058 1.177 1.315 1.483 1.706 2.056 2.479 2.779 3.
- 27 0.127 0.256 0.389 0.531 0.684 0.855 1.057 1.176 1.314 1.482 1.703 2.052 2.473 2.771 3.
- 28 0.127 0.256 0.389 0.530 0.683 0.855 1.056 1.175 1.313 1.480 1.701 2.048 2.467 2.763 3.
- 29 0.127 0.256 0.389 0.530 0.683 0.854 1.055 1.174 1.311 1.479 1.699 2.045 2.462 2.756 3.
- 30 0.127 0.256 0.389 0.530 0.683 0.854 1.055 1.173 1.310 1.477 1.697 2.042 2.457 2.750 3.
- 31 0.127 0.256 0.389 0.530 0.682 0.853 1.054 1.172 1.309 1.476 1.696 2.040 2.453 2.744 3.
- 32 0.127 0.255 0.389 0.530 0.682 0.853 1.054 1.172 1.309 1.475 1.694 2.037 2.449 2.738 3.
- 33 0.127 0.255 0.389 0.530 0.682 0.853 1.053 1.171 1.308 1.474 1.692 2.035 2.445 2.733 3.
- 34 0.127 0.255 0.389 0.529 0.682 0.852 1.052 1.170 1.307 1.473 1.691 2.032 2.441 2.728 3.
- 35 0.127 0.255 0.388 0.529 0.682 0.852 1.052 1.170 1.306 1.472 1.690 2.030 2.438 2.724 3.
- 36 0.127 0.255 0.388 0.529 0.681 0.852 1.052 1.169 1.306 1.471 1.688 2.028 2.434 2.719 3.
- 37 0.127 0.255 0.388 0.529 0.681 0.851 1.051 1.169 1.305 1.470 1.687 2.026 2.431 2.715 3.
- 38 0.127 0.255 0.388 0.529 0.681 0.851 1.051 1.168 1.304 1.469 1.686 2.024 2.429 2.712 3.
- 39 0.126 0.255 0.388 0.529 0.681 0.851 1.050 1.168 1.304 1.468 1.685 2.023 2.426 2.708 3.
- 40 0.126 0.255 0.388 0.529 0.681 0.851 1.050 1.167 1.303 1.468 1.684 2.021 2.423 2.704 3.
- 41 0.126 0.255 0.388 0.529 0.681 0.850 1.050 1.167 1.303 1.467 1.683 2.020 2.421 2.701 3.
- 42 0.126 0.255 0.388 0.528 0.680 0.850 1.049 1.166 1.302 1.466 1.682 2.018 2.418 2.698 3.
- 43 0.126 0.255 0.388 0.528 0.680 0.850 1.049 1.166 1.302 1.466 1.681 2.017 2.416 2.695 3.
- 44 0.126 0.255 0.388 0.528 0.680 0.850 1.049 1.166 1.301 1.465 1.680 2.015 2.414 2.692 3.
- 45 0.126 0.255 0.388 0.528 0.680 0.850 1.049 1.165 1.301 1.465 1.679 2.014 2.412 2.690 3.
- 46 0.126 0.255 0.388 0.528 0.680 0.850 1.048 1.165 1.300 1.464 1.679 2.013 2.410 2.687 3.
- 47 0.126 0.255 0.388 0.528 0.680 0.849 1.048 1.165 1.300 1.463 1.678 2.012 2.408 2.685 3.
- 48 0.126 0.255 0.388 0.528 0.680 0.849 1.048 1.164 1.299 1.463 1.677 2.011 2.407 2.682 3.
- 49 0.126 0.255 0.388 0.528 0.680 0.849 1.048 1.164 1.299 1.462 1.677 2.010 2.405 2.680 3.
- 50 0.126 0.255 0.388 0.528 0.679 0.849 1.047 1.164 1.299 1.462 1.676 2.009 2.403 2.678 3.
- 60 0.126 0.254 0.387 0.527 0.679 0.848 1.045 1.162 1.296 1.458 1.671 2.000 2.390 2.660 3.
- 70 0.126 0.254 0.387 0.527 0.678 0.847 1.044 1.160 1.294 1.456 1.667 1.994 2.381 2.648 3.
- 80 0.126 0.254 0.387 0.526 0.678 0.846 1.043 1.159 1.292 1.453 1.664 1.990 2.374 2.639 3.
- 90 0.126 0.254 0.387 0.526 0.677 0.846 1.042 1.158 1.291 1.452 1.662 1.987 2.368 2.632 3.
100 0.126 0.254 0.386 0.526 0.677 0.845 1.042 1.157 1.290 1.451 1.660 1.984 2.364 2.626 3.
110 0.126 0.254 0.386 0.526 0.677 0.845 1.041 1.156 1.289 1.450 1.659 1.982 2.361 2.621 3.
120 0.126 0.254 0.386 0.526 0.677 0.845 1.041 1.156 1.289 1.449 1.658 1.980 2.358 2.617 3.
130 0.126 0.254 0.386 0.526 0.676 0.844 1.041 1.156 1.288 1.448 1.657 1.978 2.355 2.614 3.
140 0.126 0.254 0.386 0.526 0.676 0.844 1.040 1.155 1.288 1.447 1.656 1.977 2.353 2.611 3.
150 0.126 0.254 0.386 0.526 0.676 0.844 1.040 1.155 1.287 1.447 1.655 1.976 2.351 2.609 3.
160 0.126 0.254 0.386 0.525 0.676 0.844 1.040 1.155 1.287 1.446 1.654 1.975 2.350 2.607 3.
170 0.126 0.254 0.386 0.525 0.676 0.844 1.040 1.154 1.287 1.446 1.654 1.974 2.348 2.605 3.
180 0.126 0.254 0.386 0.525 0.676 0.844 1.039 1.154 1.286 1.446 1.653 1.973 2.347 2.603 3.
190 0.126 0.254 0.386 0.525 0.676 0.844 1.039 1.154 1.286 1.445 1.653 1.973 2.346 2.602 3.
200 0.126 0.254 0.386 0.525 0.676 0.843 1.039 1.154 1.286 1.445 1.653 1.972 2.345 2.601 3.

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P [X ≤ x] =