8/17/2019 Tablas Parcial Ucci

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DISTRIBUCIÓN NORMAL DISTRIBUCIÓN NORMAL

Valores de Z Valores de Z

Z 0 0.01 0.02 0.03 0.04 0.05 0.06 0.07 0.08 0.09 Z 0 0.01 0.02 0.03 0.04 0.05 0.06 0.07 0.08 0.09

-3.7   0.00 01 0.000 1 0 .00 01 0.000 1 0 .00 01 0.000 1 0 .00 01 0 .00 01 0.0001 0 .000 1   0   0 .50 00 0.504 0 0 .50 80 0.512 0 0 .51 60 0.519 9 0 .52 39 0.527 9 0 .53 19 0 .5 35 9

-3.6   0.00 02 0.000 2 0 .00 01 0.000 1 0 .00 01 0.000 1 0 .00 01 0 .00 01 0.0001 0 .000 1   0.1   0 .53 98 0.543 8 0 .54 78 0.551 7 0 .55 57 0.559 6 0 .56 36 0.567 5 0 .57 14 0 .5 75 3

-3.5   0.00 02 0.000 2 0 .00 02 0.000 2 0 .00 02 0.000 2 0 .00 02 0 .00 02 0.0002 0 .000 2   0.2   0 .57 93 0.583 2 0 .58 71 0.591 0 0 .59 48 0.598 7 0 .60 26 0.606 4 0 .61 03 0 .6 14 1

-3.4   0.00 03 0.000 3 0 .00 03 0.000 3 0 .00 03 0.000 3 0 .00 03 0 .00 03 0.0003 0 .000 2   0.3   0 .61 79 0.621 7 0 .62 55 0.629 3 0 .63 31 0.636 8 0 .64 06 0.644 3 0 .64 80 0 .6 51 7

-3.3   0.00 05 0.000 5 0 .00 05 0.000 4 0 .00 04 0.000 4 0 .00 04 0 .00 04 0.0004 0 .000 3   0.4   0 .65 54 0.659 1 0 .66 28 0.666 4 0 .67 00 0.673 6 0 .67 72 0.680 8 0 .68 44 0 .6 87 9

-3.2   0.00 07 0.000 7 0 .00 06 0.000 6 0 .00 06 0.000 6 0 .00 06 0 .00 05 0.0005 0 .000 5   0.5   0 .69 15 0.695 0 0 .69 85 0.701 9 0 .70 54 0.708 8 0 .71 23 0.715 7 0 .71 90 0 .7 22 4

-3.1   0.00 10 0.000 9 0 .00 09 0.000 9 0 .00 08 0.000 8 0 .00 08 0 .00 08 0.0007 0 .000 7   0.6   0 .72 57 0.729 1 0 .73 24 0.735 7 0 .73 89 0.742 2 0 .74 54 0.748 6 0 .75 17 0 .7 54 9

-3   0 .00 13 0.001 3 0 .00 13 0.001 2 0 .00 12 0.001 1 0 .00 11 0 .00 11 0.0010 0 .001 0   0.7   0 .75 80 0.761 1 0 .76 42 0.767 3 0 .77 04 0.773 4 0 .77 64 0.779 4 0 .78 23 0 .7 85 2

-2.9   0.00 19 0.001 8 0 .00 18 0.001 7 0 .00 16 0.001 6 0 .00 15 0 .00 15 0.0014 0 .001 4   0.8   0 .78 81 0.791 0 0 .79 39 0.796 7 0 .79 95 0.802 3 0 .80 51 0.807 8 0 .81 06 0 .8 13 3

-2.8   0.00 26 0.002 5 0 .00 24 0.002 3 0 .00 23 0.002 2 0 .00 21 0 .00 21 0.0020 0 .001 9   0.9   0 .81 59 0.818 6 0 .82 12 0.823 8 0 .82 64 0.828 9 0 .83 15 0.834 0 0 .83 65 0 .8 38 9

-2.7   0.00 35 0.003 4 0 .00 33 0.003 2 0 .00 31 0.003 0 0 .00 29 0 .00 28 0.0027 0 .002 6   1   0 .84 13 0.843 8 0 .84 61 0.848 5 0 .85 08 0.853 1 0 .85 54 0.857 7 0 .85 99 0 .8 62 1

-2.6   0.00 47 0.004 5 0 .00 44 0.004 3 0 .00 41 0.004 0 0 .00 39 0 .00 38 0.0037 0 .003 6   1.1   0 .86 43 0.866 5 0 .86 86 0.870 8 0 .87 29 0.874 9 0 .87 70 0.879 0 0 .88 10 0 .8 83 0

-2.5   0.00 62 0.006 0 0 .00 59 0.005 7 0 .00 55 0.005 4 0 .00 52 0 .00 51 0.0049 0 .004 8   1.2   0 .88 49 0.886 9 0 .88 88 0.890 7 0 .89 25 0.894 4 0 .89 62 0.898 0 0 .89 97 0 .9 01 5

-2.4   0.00 82 0.008 0 0 .00 78 0.007 5 0 .00 73 0.007 1 0 .00 69 0 .00 68 0.0066 0 .006 4   1.3   0 .90 32 0.904 9 0 .90 66 0.908 2 0 .90 99 0.911 5 0 .91 31 0.914 7 0 .91 62 0 .9 17 7

-2.3   0.01 07 0.010 4 0 .01 02 0.009 9 0 .00 96 0.009 4 0 .00 91 0 .00 89 0.0087 0 .008 4   1.4   0 .91 92 0.920 7 0 .92 22 0.923 6 0 .92 51 0.926 5 0 .92 79 0.929 2 0 .93 06 0 .9 31 9

-2.2   0.01 39 0.013 6 0 .01 32 0.012 9 0 .01 25 0.012 2 0 .01 19 0 .01 16 0.0113 0 .011 0   1.5   0 .93 32 0.934 5 0 .93 57 0.937 0 0 .93 82 0.939 4 0 .94 06 0.941 8 0 .94 29 0 .9 44 1

-2.1   0.01 79 0.017 4 0 .01 70 0.016 6 0 .01 62 0.015 8 0 .01 54 0 .01 50 0.0146 0 .014 3   1.6   0 .94 52 0.946 3 0 .94 74 0.948 4 0 .94 95 0.950 5 0 .95 15 0.952 5 0 .95 35 0 .9 54 5

-2   0 .02 28 0.022 2 0 .02 17 0.021 2 0 .02 07 0.020 2 0 .01 97 0 .01 92 0.0188 0 .018 3   1.7   0 .95 54 0.956 4 0 .95 73 0.958 2 0 .95 91 0.959 9 0 .96 08 0.961 6 0 .96 25 0 .9 63 3

-1.9  0.02 87 0.028 1 0 .02 74 0.026 8 0 .02 62 0.025 6 0 .02 50 0 .02 44 0.0239 0 .023 3

  1.8  0 .96 41 0.964 9 0 .96 56 0.966 4 0 .96 71 0.967 8 0 .96 86 0.969 3 0 .96 99 0 .9 70 6

-1.8   0.03 59 0.035 1 0 .03 44 0.033 6 0 .03 29 0.032 2 0 .03 14 0 .03 07 0.0301 0 .029 4   1.9   0 .97 13 0.971 9 0 .97 26 0.973 2 0 .97 38 0.974 4 0 .97 50 0.975 6 0 .97 61 0 .9 76 7

-1.7   0.04 46 0.043 6 0 .04 27 0.041 8 0 .04 09 0.040 1 0 .03 92 0 .03 84 0.0375 0 .036 7   2   0 .97 72 0.977 8 0 .97 83 0.978 8 0 .97 93 0.979 8 0 .98 03 0.980 8 0 .98 12 0 .9 81 7

-1.6   0.05 48 0.053 7 0 .05 26 0.051 6 0 .05 05 0.049 5 0 .04 85 0 .04 75 0.0465 0 .045 5   2.1   0 .98 21 0.982 6 0 .98 30 0.983 4 0 .98 38 0.984 2 0 .98 46 0.985 0 0 .98 54 0 .9 85 7

-1.5   0.06 68 0.065 5 0 .06 43 0.063 0 0 .06 18 0.060 6 0 .05 94 0 .05 82 0.0571 0 .055 9   2.2   0 .98 61 0.986 4 0 .98 68 0.987 1 0 .98 75 0.987 8 0 .98 81 0.988 4 0 .98 87 0 .9 89 0

-1.4   0.08 08 0.079 3 0 .07 78 0.076 4 0 .07 49 0.073 5 0 .07 21 0 .07 08 0.0694 0 .068 1   2.3   0 .98 93 0.989 6 0 .98 98 0.990 1 0 .99 04 0.990 6 0 .99 09 0.991 1 0 .99 13 0 .9 91 6

-1.3   0.09 68 0.095 1 0 .09 34 0.091 8 0 .09 01 0.088 5 0 .08 69 0 .08 53 0.0838 0 .082 3   2.4   0 .99 18 0.992 0 0 .99 22 0.992 5 0 .99 27 0.992 9 0 .99 31 0.993 2 0 .99 34 0 .9 93 6

-1.2   0.11 51 0.113 1 0 .11 12 0.109 3 0 .10 75 0.105 6 0 .10 38 0 .10 20 0.1003 0 .098 5   2.5   0 .99 38 0.994 0 0 .99 41 0.994 3 0 .99 45 0.994 6 0 .99 48 0.994 9 0 .99 51 0 .9 95 2

-1.1   0.13 57 0.133 5 0 .13 14 0.129 2 0 .12 71 0.125 1 0 .12 30 0 .12 10 0.1190 0 .117 0   2.6   0 .99 53 0.995 5 0 .99 56 0.995 7 0 .99 59 0.996 0 0 .99 61 0.996 2 0 .99 63 0 .9 96 4

-1   0 .15 87 0.156 2 0 .15 39 0.151 5 0 .14 92 0.146 9 0 .14 46 0 .14 23 0.1401 0 .137 9   2.7   0 .99 65 0.996 6 0 .99 67 0.996 8 0 .99 69 0.997 0 0 .99 71 0.997 2 0 .99 73 0 .9 97 4

-0.9   0.18 41 0.181 4 0 .17 88 0.176 2 0 .17 36 0.171 1 0 .16 85 0 .16 60 0.1635 0 .161 1   2.8   0 .99 74 0.997 5 0 .99 76 0.997 7 0 .99 77 0.997 8 0 .99 79 0.997 9 0 .99 80 0 .9 98 1

-0.8   0.21 19 0.209 0 0 .20 61 0.203 3 0 .20 05 0.197 7 0 .19 49 0 .19 22 0.1894 0 .186 7   2.9   0 .99 81 0.998 2 0 .99 82 0.998 3 0 .99 84 0.998 4 0 .99 85 0.998 5 0 .99 86 0 .9 98 6

-0.7   0.24 20 0.238 9 0 .23 58 0.232 7 0 .22 96 0.226 6 0 .22 36 0 .22 06 0.2177 0 .214 8   3   0 .99 87 0.998 7 0 .99 87 0.998 8 0 .99 88 0.998 9 0 .99 89 0.998 9 0 .99 90 0 .9 99 0

-0.6   0.27 43 0.270 9 0 .26 76 0.264 3 0 .26 11 0.257 8 0 .25 46 0 .25 14 0.2483 0 .245 1   3.1   0 .99 90 0.999 1 0 .99 91 0.999 1 0 .99 92 0.999 2 0 .99 92 0.999 2 0 .99 93 0 .9 99 3-0.5   0.30 85 0.305 0 0 .30 15 0.298 1 0 .29 46 0.291 2 0 .28 77 0 .28 43 0.2810 0 .277 6   3.2   0 .99 93 0.999 3 0 .99 94 0.999 4 0 .99 94 0.999 4 0 .99 94 0.999 5 0 .99 95 0 .9 99 5

-0.4   0.34 46 0.340 9 0 .33 72 0.333 6 0 .33 00 0.326 4 0 .32 28 0 .31 92 0.3156 0 .312 1   3.3   0 .99 95 0.999 5 0 .99 95 0.999 6 0 .99 96 0.999 6 0 .99 96 0.999 6 0 .99 96 0 .9 99 7

-0.3   0.38 21 0.378 3 0 .37 45 0.370 7 0 .36 69 0.363 2 0 .35 94 0 .35 57 0.3520 0 .348 3   3.4   0 .99 97 0.999 7 0 .99 97 0.999 7 0 .99 97 0.999 7 0 .99 97 0.999 7 0 .99 97 0 .9 99 8

-0.2   0.42 07 0.416 8 0 .41 29 0.409 0 0 .40 52 0.401 3 0 .39 74 0 .39 36 0.3897 0 .385 9   3.5   0 .99 98 0.999 8 0 .99 98 0.999 8 0 .99 98 0.999 8 0 .99 98 0.999 8 0 .99 98 0 .9 99 8

-0.1   0.46 02 0.456 2 0 .45 22 0.448 3 0 .44 43 0.440 4 0 .43 64 0 .43 25 0.4286 0 .424 7   3.6   0 .99 98 0.999 8 0 .99 99 0.999 9 0 .99 99 0.999 9 0 .99 99 0.999 9 0 .99 99 0 .9 99 9

0   0 .50 00 0.496 0 0 .49 20 0.488 0 0 .48 40 0.480 1 0 .47 61 0 .47 21 0.4681 0 .464 1   3.7   0 .99 99 0.999 9 0 .99 99 0.999 9 0 .99 99 0.999 9 0 .99 99 0.999 9 0 .99 99 0 .9 99 9

N ota: P ara valo res de z men or es qu e -3 .4 9 u til ice 0 .0 00 1 como ár ea N ota: P ara valo res de z mayor es q ue 3 .71 uti li ce 0 .99 99 co mo áre a

*Utilice valores comunes que resultan por interpolación *Utilice valores comunes que resultan por interpolación

z = -1.645 Area = 0.0500 z = 1.645 Area = 0.9500

z = -2.575 Area = 0.0050 z = 2.575 Area = 0.9950

*

*

*

*

Prof. Sergio Jurado Estadística I

8/17/2019 Tablas Parcial Ucci

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Distribución t Distribución Chi Cuadrada (valores críticos)Área a la derecha del valor crítico

0.85 0.9 0.95 0.975 0.99 0.995 0.9975 0.999 0.9995  NC

0.15 0.1 0.05 0.025 0.01 0.005 0.0025 0.001 0.0005  gl 0.995 0.990 0.975 0.950 0.900 0.100 0.050 0.025 0.020 0.010 0.005 0.001

0.7 0.8 0.9 0.95 0.98 0.99 0.995 0.998 0.999  NC 1   0.00 0.00 0.00 0.00 0.02 2.71 3.84 5.02 5.41 6.63 7.88 10.83

0.3 0.2 0.1   0.05   0.02   0.01   0 .005 0.002 0.001  2   0.01 0.02 0.05 0.10 0.21 4.61 5.99 7.38 7.82 9.21 10.60 13.82

3   0 .07 0.11 0.22 0.35 0.58 6.25 7.81 9.35 9.84 11.34 12.84 16.27gl   4   0 .21 0.30 0.48 0.71 1.06 7.78 9.49 11.14 11.67 13.28 14.86 18.471   1.963 3.078 6.314   12.706   31.821   63.657   127.321 318.309 636.619   5   0.41 0.55 0.83 1.15 1.61 9.24 11.07 12.83 13.39 15.09 16.75 20.522   1.386 1.886 2.920

  4.303  6.965

  9.925  1 4. 08 9 2 2. 32 7 3 1. 59 9

  6  0 .68 0.87 1.24 1.64 2.20 10.64 12.59 14.45 15.03 16.81 18.55 22.46

3   1.250 1.638 2.353   3.182   4.541   5.841   7 .4 53 1 0. 21 5 1 2. 92 4   7   0 .99 1.24 1.69 2.17 2.83 12.02 14.07 16.01 16.62 18.48 20.28 24.324   1.190 1.533 2.132   2.776   3.747   4.604   5 .598 7.173 8.610   8   1 .34 1.65 2.18 2.73 3.49 13.36 15.51 17.53 18.17 20.09 21.95 26.125   1.156 1.476 2.015   2.571   3.365   4.032   4 .773 5.893 6.869   9   1 .73 2.09 2.70 3.33 4.17 14.68 16.92 19.02 19.68 21.67 23.59 27.886   1.134 1.440 1.943   2.447   3.143   3.707   4 .317 5.208 5.959   10   2 .16 2.56 3.25 3.94 4.87 15.99 18.31 20.48 21.16 23.21 25.19 29.597   1.119 1.415 1.895   2.365   2.998   3.499   4 .029 4.785 5.408   11   2 .60 3.05 3.82 4.57 5.58 17.28 19.68 21.92 22.62 24.72 26.76 31.268   1.108 1.397 1.860   2.306   2.896   3.355   3 .833 4.501 5.041   12   3 .07 3.57 4.40 5.23 6.30 18.55 21.03 23.34 24.05 26.22 28.30 32.919   1.100 1.383 1.833   2.262   2.821   3.250   3 .690 4.297 4.781   13   3 .57 4.11 5.01 5.89 7.04 19.81 22.36 24.74 25.47 27.69 29.82 34.53

10   1.093 1.372 1.812   2.228   2.764   3.169   3 .581 4.144 4.587   14   4 .07 4.66 5.63 6.57 7.79 21.06 23.68 26.12 26.87 29.14 31.32 36.1211   1.088 1.363 1.796   2.201   2.718   3.106   3 .497 4.025 4.437   15   4 .60 5.23 6.26 7.26 8.55 22.31 25.00 27.49 28.26 30.58 32.80 37.7012   1.083 1.356 1.782   2.179   2.681   3.055   3 .428 3.930 4.318   16   5 .14 5.81 6.91 7.96 9.31 23.54 26.30 28.85 29.63 32.00 34.27 39.2513   1.079 1.350 1.771   2.160   2.650   3.012   3 .372 3.852 4.221   17   5.70 6.41 7.56 8.67 10.09 24.77 27.59 30.19 31.00 33.41 35.72 40.7914   1.076 1.345 1.761   2.145   2.624   2.977   3 .326 3.787 4.140   18   6.26 7.01 8.23 9.39 10.86 25.99 28.87 31.53 32.35 34.81 37.16 42.3115   1.074 1.341 1.753   2.131   2.602   2.947   3 .286 3.733 4.073   19   6.84 7.63 8.91 10.12 11.65 27.20 30.14 32.85 33.69 36.19 38.58 43.8216   1.071 1.337 1.746   2.120   2.583   2.921   3 .252 3.686 4.015   20   7.43 8.26 9.59 10.85 12.44 28.41 31.41 34.17 35.02 37.57 40.00 45.3117   1.069 1.333 1.740   2.110   2.567   2.898   3 .222 3.646 3.965   21   8.03 8.90 10.28 11.59 13.24 29.62 32.67 35.48 36.34 38.93 41.40 46.8018   1.067 1.330 1.734   2.101   2.552   2.878   3 .197 3.610 3.922   22   8.64 9.54 10.98 12.34 14.04 30.81 33.92 36.78 37.66 40.29 42.80 48.2719   1.066 1.328 1.729   2.093   2.539   2.861   3 .174 3.579 3.883   23   9.26 10.20 11.69 13.09 14.85 32.01 35.17 38.08 38.97 41.64 44.18 49.7320   1.064 1.325 1.725   2.086   2.528   2.845   3 .153 3.552 3.850   24   9.89 10.86 12.40 13.85 15.66 33.20 36.42 39.36 40.27 42.98 45.56 51.1821   1.063 1.323 1.721   2.080   2.518   2.831   3 .135 3.527 3.819   25   10.52 11.52 13.12 14.61 16.47 34.38 37.65 40.65 41.57 44.31 46.93 52.6222   1.061 1.321 1.717   2.074   2.508   2.819   3 .119 3.505 3.792   26   11.16 12.20 13.84 15.38 17.29 35.56 38.89 41.92 42.86 45.64 48.29 54.0523   1.060 1.319 1.714   2.069   2.500   2.807   3 .104 3.485 3.768   27   11.81 12.88 14.57 16.15 18.11 36.74 40.11 43.19 44.14 46.96 49.64 55.4824   1.059 1.318 1.711   2.064   2.492   2.797   3 .091 3.467 3.745   28   12.46 13.56 15.31 16.93 18.94 37.92 41.34 44.46 45.42 48.28 50.99 56.8925   1.058 1.316 1.708   2.060   2.485   2.787   3 .078 3.450 3.725   29   13.12 14.26 16.05 17.71 19.77 39.09 42.56 45.72 46.69 49.59 52.34 58.3026   1.058 1.315 1.706   2.056   2.479   2.779   3 .067 3.435 3.707   30   13.79 14.95 16.79 18.49 20.60 40.26 43.77 46.98 47.96 50.89 53.67 59.7027   1.057 1.314 1.703   2.052   2.473   2.771   3 .057 3.421 3.690   31   14.46 15.66 17.54 19.28 21.43 41.42 44.99 48.23 49.23 52.19 55.00 61.1028   1.056 1.313 1.701   2.048   2.467   2.763   3 .047 3.408 3.674   33   15.82 17.07 19.05 20.87 23.11 43.75 47.40 50.73 51.74 54.78 57.65 63.8729   1.055 1.311 1.699   2.045   2.462   2.756   3 .038 3.396 3.659   35   17.19 18.51 20.57 22.47 24.80 46.06 49.80 53.20 54.24 57.34 60.27 66.6230   1.055 1.310 1.697   2.042   2.457   2.750   3 .030 3.385 3.646   37   18.59 19.96 22.11 24.07 26.49 48.36 52.19 55.67 56.73 59.89 62.88 69.3531   1.054 1.309 1.696   2.040   2.453   2.744   3 .022 3.375 3.633   40   20.71 22.16 24.43 26.51 29.05 51.81 55.76 59.34 60.44 63.69 66.77 73.4032   1.054 1.309 1.694   2.037   2.449   2.738   3 .015 3.365 3.622   50   27.99 29.71 32.36 34.76 37.69 63.17 67.50 71.42 72.61 76.15 79.49 86.6634   1.052 1.307 1.691   2.032   2.441   2.728   3 .002 3.348 3.601   60   35.53 37.48 40.48 43.19 46.46 74.40 79.08 83.30 84.58 88.38 91.95 99.6135   1.052 1.306 1.690   2.030   2.438   2.724   2 .996 3.340 3.591   70   43.2 8 45. 44 48. 76 51. 74 5 5.3 3 85. 53 90. 53 95. 02 96. 39 100. 43 1 04. 21 112. 3236   1.052 1.306 1.688   2.028   2.434   2.719   2 .990 3.333 3.582   80   5 1.1 7 53. 54 57. 15 60. 39 6 4.2 8 96. 58 101. 88 106. 63 108. 07 112. 33 1 16. 32 124. 8437   1.051 1.305 1.687   2.026   2.431   2.715   2 .985 3.326 3.574   90   5 9.2 0 61. 75 65. 65 69. 13 7 3.2 9 107. 57 113. 15 118. 14 119. 65 124. 12 1 28. 30 137. 2138   1.051 1.304 1.686   2.024   2.429   2.712   2 .980 3.319 3.566   100   6 7.3 3 70. 06 74. 22 77. 93 8 2.3 6 118. 50 124. 34 129. 56 131. 14 135. 81 1 40. 17 149. 4540   1.050 1.303 1.684   2.021   2.423   2.704   2 .971 3.307 3.55145   1.049 1.301 1.679   2.014   2.412   2.690   2 .952 3.281 3.520

50   1.047 1.299 1.676   2.009   2.403   2.678   2 .937 3.261 3.496   Tablaadaptada de M TRIOLA - A. WEBSTER55   1.046 1.297 1.673   2.004   2.396   2.668   2 .925 3.245 3.47660   1.045 1.296 1.671   2.000   2.390   2.660   2 .915 3.232 3.460

65   1.045 1.295 1.669   1.997   2.385   2.654   2 .906 3.220 3.44770   1.044 1.294 1.667   1.994   2.381   2.648   2 .899 3.211 3.43575   1.044 1.293 1.665   1.992   2.377   2.643   2 .892 3.202 3.42580   1.043 1.292 1.664   1.990   2.374   2.639   2 .887 3.195 3.41690   1.042 1.291 1.662   1.987   2.368   2.632   2 .878 3.183 3.402

100   1.042 1.290 1.660   1.984   2.364   2.626   2 .871 3.174 3.390200   1.039 1.286 1.653   1.972   2.345   2.601   2 .839 3.131 3.340300   1.038 1.284 1.650   1.968   2.339   2.592   2 .828 3.118 3.323400   1.038 1.284 1.649   1.966   2.336   2.588   2 .823 3.111 3.315500   1.038 1.283 1.648   1.965   2.334   2.586   2 .820 3.107 3.310750   1.037 1.283 1.647   1.963   2.331   2.582   2 .815 3.101 3.304

1000   1 .037 1.282 1.646   1.962   2.330   2.581   2 .813 3.098 3.3002000   1 .037 1.282 1.646   1.961   2.328   2.578   2 .810 3.094 3.295

2

colas

1

cola

TABLA A3

Valores t

TABLA A4 

8/17/2019 Tablas Parcial Ucci

3/4

Distribución F   = 0.025 Distribución F   = 0.025

1 2 3 4 5 6 7 8 9 10 12 15 20 24 30 40 60 120   100000

1   64 7. 79 79 9. 50 8 64 .1 6 8 99 .5 8 9 21 .8 5 93 7. 11 94 8. 22 95 6. 66 9 63 .2 8   1   9 68 .6 3 9 76 .7 1 9 84 .8 7 9 93 .1 0 9 97 .2 5 1 00 1. 41 1 00 5. 60 1 00 9. 80 1 01 4. 02 1 01 8. 25

2   38 .5 06 39 .0 00 3 9. 16 5 3 9. 24 8 3 9. 29 8 39 .3 31 39 .3 55 39 .3 73 3 9. 38 7   2   39. 39 8 39 .4 15 39 .4 31 39 .4 48 39 .4 56 3 9. 46 5 3 9. 47 3 39 .4 81 39 .4 90 39 .4 98

3   17 .4 43 16 .0 44 1 5. 43 9 1 5. 10 1 1 4. 88 5 14 .7 35 14 .6 24 14 .5 40 1 4. 47 3   3   14. 41 9 14 .3 37 14 .2 53 14 .1 67 14 .1 24 1 4. 08 1 1 4. 03 7 13 .9 92 13 .9 47 13 .9 02

4   12.218 10.649 9.979 9.605 9.364 9.197 9.074 8.980 8.905   4   8.844 8.751 8.657 8.560 8.511 8.461 8.411 8.360 8.309 8.257

5   10 .0 07 8. 43 36 7 .7 63 6 7 .3 87 9 7 .1 46 4 6. 97 77 6. 85 31 6. 75 72 6 .6 81 1   5   6. 61 9 6. 52 45 6. 42 77 6. 32 86 6. 27 80 6 .2 26 9 6 .1 75 0 6. 12 25 6. 06 93 6. 01 54

6   8. 81 31 7. 25 99 6 .5 98 8 6 .2 27 2 5 .9 87 6 5. 81 98 5. 69 55 5. 59 96 5 .5 23 4   6   5.4 61 3 5. 36 62 5. 26 87 5. 16 84 5. 11 72 5 .0 65 2 5 .0 12 5 4. 95 89 4. 90 44 4. 84 92

7   8. 07 27 6. 54 15 5 .8 89 8 5 .5 22 6 5 .2 85 2 5. 11 86 4. 99 49 4. 89 93 4 .8 23 2   7   4.7 61 1 4. 66 58 4. 56 78 4. 46 67 4. 41 50 4 .3 62 4 4 .3 08 9 4. 25 44 4. 19 89 4. 14 24

8   7. 57 09 6. 05 95 5 .4 16 0 5 .0 52 6 4 .8 17 3 4. 65 17 4. 52 86 4. 43 33 4 .3 57 2   8   4.2 95 1 4. 19 97 4. 10 12 3. 99 95 3. 94 72 3 .8 94 0 3 .8 39 8 3. 78 44 3. 72 79 3. 67 02

9   7. 20 93 5. 71 47 5 .0 78 1 4 .7 18 1 4 .4 84 4 4. 31 97 4. 19 70 4. 10 20 4 .0 26 0   9   3.9 63 9 3. 86 82 3. 76 94 3. 66 69 3. 61 42 3 .5 60 4 3 .5 05 5 3. 44 93 3. 39 18 3. 33 29

10   6. 93 67 5. 45 64 4 .8 25 6 4 .4 68 3 4 .2 36 1 4. 07 21 3. 94 98 3. 85 49 3 .7 79 0   10   3.7 16 8 3. 62 09 3. 52 17 3. 41 85 3. 36 54 3 .3 11 0 3 .2 55 4 3. 19 84 3. 13 99 3. 07 99

11   6. 72 41 5. 25 59 4 .6 30 0 4 .2 75 1 4 .0 44 0 3. 88 07 3. 75 86 3. 66 38 3 .5 87 9   11   3.5 25 7 3. 42 96 3. 32 99 3. 22 61 3. 17 25 3 .1 17 6 3 .0 61 3 3. 00 35 2. 94 41 2. 88 29

12   6. 55 38 5. 09 59 4 .4 74 2 4 .1 21 2 3 .8 91 1 3. 72 83 3. 60 65 3. 51 18 3 .4 35 8   12   3.3 73 6 3. 27 73 3. 17 72 3. 07 28 3. 01 87 2 .9 63 3 2 .9 06 3 2. 84 78 2. 78 74 2. 72 50

13   6. 41 43 4. 96 53 4 .3 47 2 3 .9 95 9 3 .7 66 7 3. 60 43 3. 48 27 3. 38 80 3 .3 12 0   13   3.2 49 7 3. 15 32 3. 05 27 2. 94 77 2. 89 32 2 .8 37 2 2 .7 79 7 2. 72 04 2. 65 90 2. 59 55

14   6. 29 79 4. 85 67 4 .2 41 7 3 .8 91 9 3 .6 63 4 3. 50 14 3. 37 99 3. 28 53 3 .2 09 3   14   3.1 46 9 3. 05 02 2. 94 93 2. 84 37 2. 78 88 2 .7 32 4 2 .6 74 2 2. 61 42 2. 55 19 2. 48 73

15   6. 19 95 4. 76 50 4 .1 52 8 3 .8 04 3 3 .5 76 4 3. 41 47 3. 29 34 3. 19 87 3 .1 22 7   15   3.0 60 2 2. 96 33 2. 86 21 2. 75 59 2. 70 06 2 .6 43 7 2 .5 85 0 2. 52 42 2. 46 11 2. 39 54

16   6. 11 51 4. 68 67 4 .0 76 8 3 .7 29 4 3 .5 02 1 3. 34 06 3. 21 94 3. 12 48 3 .0 48 8   16   2.9 86 2 2. 88 90 2. 78 75 2. 68 08 2. 62 52 2 .5 67 8 2 .5 08 5 2. 44 71 2. 38 31 2. 31 63

17   6. 04 20 4. 61 89 4 .0 11 2 3 .6 64 8 3 .4 37 9 3. 27 67 3. 15 56 3. 06 10 2 .9 84 9   17   2.9 22 2 2. 82 49 2. 72 30 2. 61 58 2. 55 98 2 .5 02 0 2 .4 42 2 2. 38 01 2. 31 53 2. 24 75

18   5. 97 81 4. 55 97 3 .9 53 9 3 .6 08 3 3 .3 82 0 3. 22 09 3. 09 99 3. 00 53 2 .9 29 1   18   2.8 66 4 2. 76 89 2. 66 67 2. 55 90 2. 50 27 2 .4 44 5 2 .3 84 2 2. 32 14 2. 25 58 2. 18 70

19   5. 92 16 4. 50 75 3 .9 03 4 3 .5 58 7 3 .3 32 7 3. 17 18 3. 05 09 2. 95 63 2 .8 80 1   19   2.8 17 2 2. 71 96 2. 61 71 2. 50 89 2. 45 23 2 .3 93 7 2 .3 32 9 2. 26 96 2. 20 32 2. 13 34

20   5. 87 15 4. 46 13 3 .8 58 7 3 .5 14 7 3 .2 89 1 3. 12 83 3. 00 74 2. 91 28 2 .8 36 5   20   2.7 73 7 2. 67 58 2. 57 31 2. 46 45 2. 40 76 2 .3 48 6 2 .2 87 3 2. 22 34 2. 15 62 2. 08 54

21   5. 82 66 4. 41 99 3 .8 18 8 3 .4 75 4 3 .2 50 1 3. 08 95 2. 96 86 2. 87 40 2 .7 97 7   21   2.7 34 8 2. 63 68 2. 53 38 2. 42 47 2. 36 75 2 .3 08 2 2 .2 46 5 2. 18 19 2. 11 41 2. 04 23

22   5. 78 63 4. 38 28 3 .7 82 9 3 .4 40 1 3 .2 15 1 3. 05 46 2. 93 38 2. 83 92 2 .7 62 8   22   2.6 99 8 2. 60 17 2. 49 84 2. 38 90 2. 33 15 2 .2 71 8 2 .2 09 7 2. 14 46 2. 07 60 2. 00 33

23   5. 74 98 4. 34 92 3 .7 50 5 3 .4 08 3 3 .1 83 5 3. 02 32 2. 90 23 2. 80 77 2 .7 31 3   23   2.6 68 2 2. 56 99 2. 46 65 2. 35 67 2. 29 89 2 .2 38 9 2 .1 76 3 2. 11 07 2. 04 15 1. 96 78

24   5. 71 66 4. 31 87 3 .7 21 1 3 .3 79 4 3 .1 54 8 2. 99 46 2. 87 38 2. 77 91 2 .7 02 7   24   2.6 39 6 2. 54 11 2. 43 74 2. 32 73 2. 26 93 2 .2 09 0 2 .1 46 0 2. 07 99 2. 00 99 1. 93 54

25   5. 68 64 4. 29 09 3 .6 94 3 3 .3 53 0 3 .1 28 7 2. 96 85 2. 84 78 2. 75 31 2 .6 76 6   25   2.6 13 5 2. 51 49 2. 41 10 2. 30 05 2. 24 22 2 .1 81 6 2 .1 18 3 2. 05 16 1. 98 11 1. 90 56

26   5. 65 86 4. 26 55 3 .6 69 7 3 .3 28 9 3 .1 04 8 2. 94 47 2. 82 40 2. 72 93 2 .6 52 8   26   2.5 89 6 2. 49 08 2. 38 67 2. 27 59 2. 21 74 2 .1 56 5 2 .0 92 8 2. 02 57 1. 95 45 1. 87 82

27   5. 63 31 4. 24 21 3 .6 47 2 3 .3 06 7 3 .0 82 8 2. 92 28 2. 80 21 2. 70 74 2 .6 30 9   27   2.5 67 6 2. 46 88 2. 36 44 2. 25 33 2. 19 46 2 .1 33 4 2 .0 69 3 2. 00 18 1. 92 99 1. 85 28

28   5. 60 96 4. 22 05 3 .6 26 4 3 .2 86 3 3 .0 62 6 2. 90 27 2. 78 20 2. 68 72 2 .6 10 6   28   2.5 47 3 2. 44 84 2. 34 38 2. 23 24 2. 17 35 2 .1 12 1 2 .0 47 7 1. 97 97 1. 90 72 1. 82 92

29   5. 58 78 4. 20 06 3 .6 07 2 3 .2 67 4 3 .0 43 8 2. 88 40 2. 76 33 2. 66 86 2 .5 91 9   29   2.5 28 6 2. 42 95 2. 32 48 2. 21 31 2. 15 40 2 .0 92 3 2 .0 27 6 1. 95 91 1. 88 61 1. 80 73

30   5. 56 75 4. 18 21 3 .5 89 4 3 .2 49 9 3 .0 26 5 2. 86 67 2. 74 60 2. 65 13 2 .5 74 6   30   2.5 11 2 2. 41 20 2. 30 72 2. 19 52 2. 13 59 2 .0 73 9 2 .0 08 9 1. 94 00 1. 86 64 1. 78 68

40   5. 42 39 4. 05 10 3 .4 63 3 3 .1 26 1 2 .9 03 7 2. 74 44 2. 62 38 2. 52 89 2 .4 51 9   40   2.3 88 2 2. 28 82 2. 18 19 2. 06 77 2. 00 69 1 .9 42 9 1 .8 75 2 1. 80 28 1. 72 42 1. 63 72

60   5. 28 56 3. 92 53 3 .3 42 5 3 .0 07 7 2 .7 86 3 2. 62 74 2. 50 68 2. 41 17 2 .3 34 4   60   2.2 70 2 2. 16 92 2. 06 13 1. 94 45 1. 88 17 1 .8 15 2 1 .7 44 0 1. 66 68 1. 58 10 1. 48 23

120   5. 15 23 3. 80 46 3 .2 26 9 2 .8 94 3 2 .6 74 0 2. 51 54 2. 39 48 2. 29 94 2 .2 21 7   120   2.1 57 0 2. 05 48 1. 94 50 1. 82 49 1. 75 97 1 .6 89 9 1 .6 14 1 1. 52 99 1. 43 27 1. 31 06

####   5 .02 39 3. 68 89 3 .1 16 1 2 .7 85 8 2 .5 66 5 2. 40 82 2. 28 76 2. 19 18 2 .1 13 7   ####   2 .0 48 3 1. 94 47 1. 83 26 1. 70 85 1. 64 02 1 .5 66 0 1 .4 83 6 1. 38 83 1. 26 85 1. 00 92

Gradodelibertaddeldenominador

Gradodelibertaddeldenominador

Tabla A-5 Tabla A-5

Grados de Libertad del Numerador Grados de Libertad del Numerador

8/17/2019 Tablas Parcial Ucci

4/4

Distribución F   = 0.05 Distribución F   = 0.05

1 2 3 4 5 6 7 8 9 10 12 15 20 24 30 40 60 1 20   100000

1 161.45 199.50 215.71 224.58 230.16 233.99 236.77 238.88 240.54 1   241.88 243.91 245. 95 248. 01 249. 05 250.10 251.14 252.20 253. 25 254. 31

2 18.5128 19.0000 19.1643 19.2468 19.2964 19.3295 19.3532 19.3710 19.3848 2   1 9. 39 59 1 9. 41 25 1 9. 42 91 1 9. 44 58 1 9. 45 41 1 9. 46 24 1 9. 47 07 1 9. 47 91 1 9. 48 74 1 9. 49 57

3 10.1280 9.5521 9.2766 9.1172 9.0135 8.9406 8.8867 8.8452 8.8123 3   8.7855 8.7446 8.7029 8. 6602 8. 6385 8.6166 8.5944 8.5720 8.5494 8.5265

4 7.709 6.944 6.591 6.388 6.256 6.163 6.094 6.041 5.999 4   5.9644 5.9117 5.8578 5. 8025 5. 7744 5.7459 5.7170 5.6877 5.6581 5.6281

5 6.6079 5.7861 5.4095 5.1922 5.0503 4.9503 4.8759 4.8183 4.7725 5   4.7351 4.6777 4.6188 4. 5581 4. 5272 4.4957 4.4638 4.4314 4.3985 4.3650

6 5.9874 5.1433 4.7571 4.5337 4.3874 4.2839 4.2067 4.1468 4.0990 6   4.0600 3.9999 3.9381 3. 8742 3. 8415 3.8082 3.7743 3.7398 3.7047 3.6689

7 5.5914 4.7374 4.3468 4.1203 3.9715 3.8660 3.7870 3.7257 3.6767 7   3.6365 3.5747 3.5107 3. 4445 3. 4105 3.3758 3.3404 3.3043 3.2674 3.2298

8 5.3177 4.4590 4.0662 3.8379 3.6875 3.5806 3.5005 3.4381 3.3881 8   3.3472 3.2839 3.2184 3. 1503 3. 1152 3.0794 3.0428 3.0053 2.9669 2.9276

9 5.1174 4.2565 3.8625 3.6331 3.4817 3.3738 3.2927 3.2296 3.1789 9   3.1373 3.0729 3.0061 2. 9365 2. 9005 2.8637 2.8259 2.7872 2.7475 2.7067

10 4.9646 4.1028 3.7083 3.4780 3.3258 3.2172 3.1355 3.0717 3.0204 10   2.9782 2.9130 2.8450 2. 7740 2. 7372 2.6996 2.6609 2.6211 2.5801 2.5379

11 4.8443 3.9823 3.5874 3.3567 3.2039 3.0946 3.0123 2.9480 2.8962 11   2.8536 2.7876 2.7186 2. 6464 2. 6090 2.5705 2.5309 2.4901 2.4480 2.4045

12 4.7472 3.8853 3.4903 3.2592 3.1059 2.9961 2.9134 2.8486 2.7964 12   2.7534 2.6866 2.6169 2. 5436 2. 5055 2.4663 2.4259 2.3842 2.3410 2.2963

13 4.6672 3.8056 3.4105 3.1791 3.0254 2.9153 2.8321 2.7669 2.7144 13   2.6710 2.6037 2.5331 2. 4589 2. 4202 2.3803 2.3392 2.2966 2.2524 2.2065

14 4.6001 3.7389 3.3439 3.1122 2.9582 2.8477 2.7642 2.6987 2.6458 14   2.6022 2.5342 2.4630 2. 3879 2. 3487 2.3082 2.2664 2.2229 2.1778 2.1308

15 4.5431 3.6823 3.2874 3.0556 2.9013 2.7905 2.7066 2.6408 2.5876 15   2.5437 2.4753 2.4034 2. 3275 2. 2878 2.2468 2.2043 2.1601 2.1141 2.0659

16 4.4940 3.6337 3.2389 3.0069 2.8524 2.7413 2.6572 2.5911 2.5377 16   2.4935 2.4247 2.3522 2. 2756 2. 2354 2.1938 2.1507 2.1058 2.0589 2.0097

17 4.4513 3.5915 3.1968 2.9647 2.8100 2.6987 2.6143 2.5480 2.4943 17   2.4499 2.3807 2.3077 2. 2304 2. 1898 2.1477 2.1040 2.0584 2.0107 1.9604

18 4.4139 3.5546 3.1599 2.9277 2.7729 2.6613 2.5767 2.5102 2.4563 18   2.4117 2.3421 2.2686 2. 1906 2. 1497 2.1071 2.0629 2.0166 1.9681 1.9169

19 4.3807 3.5219 3.1274 2.8951 2.7401 2.6283 2.5435 2.4768 2.4227 19   2.3779 2.3080 2.2341 2. 1555 2. 1141 2.0712 2.0264 1.9795 1.9302 1.8781

20 4.3512 3.4928 3.0984 2.8661 2.7109 2.5990 2.5140 2.4471 2.3928 20   2.3479 2.2776 2.2033 2. 1242 2. 0825 2.0391 1.9938 1.9464 1.8963 1.8432

21 4.3248 3.4668 3.0725 2.8401 2.6848 2.5727 2.4876 2.4205 2.3660 21   2.3210 2.2504 2.1757 2. 0960 2. 0540 2.0102 1.9645 1.9165 1.8657 1.8118

22 4.3009 3.4434 3.0491 2.8167 2.6613 2.5491 2.4638 2.3965 2.3419 22   2.2967 2.2258 2.1508 2. 0707 2. 0283 1.9842 1.9380 1.8894 1.8380 1.7832

23 4.2793 3.4221 3.0280 2.7955 2.6400 2.5277 2.4422 2.3748 2.3201 23   2.2747 2.2036 2.1282 2. 0476 2. 0050 1.9605 1.9139 1.8648 1.8128 1.7571

24 4.2597 3.4028 3.0088 2.7763 2.6207 2.5082 2.4226 2.3551 2.3002 24   2.2547 2.1834 2.1077 2. 0267 1. 9838 1.9390 1.8920 1.8424 1.7896 1.7331

25 4.2417 3.3852 2.9912 2.7587 2.6030 2.4904 2.4047 2.3371 2.2821 25   2.2365 2.1649 2.0889 2. 0075 1. 9643 1.9192 1.8718 1.8217 1.7684 1.7111

26 4.2252 3.3690 2.9752 2.7426 2.5868 2.4741 2.3883 2.3205 2.2655 26   2.2197 2.1479 2.0716 1. 9898 1. 9464 1.9010 1.8533 1.8027 1.7488 1.6907

27 4.2100 3.3541 2.9604 2.7278 2.5719 2.4591 2.3732 2.3053 2.2501 27   2.2043 2.1323 2.0558 1. 9736 1. 9299 1.8842 1.8361 1.7851 1.7306 1.6718

28 4.1960 3.3404 2.9467 2.7141 2.5581 2.4453 2.3593 2.2913 2.2360 28   2.1900 2.1179 2.0411 1. 9586 1. 9147 1.8687 1.8203 1.7689 1.7138 1.6542

29 4.1830 3.3277 2.9340 2.7014 2.5454 2.4324 2.3463 2.2783 2.2229 29   2.1768 2.1045 2.0275 1. 9446 1. 9005 1.8543 1.8055 1.7537 1.6981 1.6377

30 4.1709 3.3158 2.9223 2.6896 2.5336 2.4205 2.3343 2.2662 2.2107 30   2.1646 2.0921 2.0148 1. 9317 1. 8874 1.8409 1.7918 1.7396 1.6835 1.6223

40 4.0847 3.2317 2.8387 2.6060 2.4495 2.3359 2.2490 2.1802 2.1240 40   2.0772 2.0035 1.9245 1. 8389 1. 7929 1.7444 1.6928 1.6373 1.5766 1.5090

60 4.0012 3.1504 2.7581 2.5252 2.3683 2.2541 2.1665 2.0970 2.0401 60   1.9926 1.9174 1.8364 1. 7480 1. 7001 1.6491 1.5943 1.5343 1.4673 1.3894

120 3.9201 3.0718 2.6802 2.4472 2.2899 2.1750 2.0868 2.0164 1.9588 120   1.9105 1.8337 1.7505 1. 6587 1. 6084 1.5543 1.4952 1.4290 1.3519 1.2540

#### 3.8415 2.9957 2.6049 2.3719 2.2141 2.0986 2.0096 1.9384 1.8799 ####   1 .8307 1.7522 1.6664 1. 5705 1. 5173 1.4591 1.3940 1.3180 1.2214 1.0077

Gradodelibertaddeldenominador

Gradodelibertaddeldenominador

Tabla A-5 Tabla A-5

Grados de Libertad del Numerador Grados de Libertad del Numerador