tablas parcial ucci
TRANSCRIPT
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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
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Prof. Sergio Jurado Estadística I
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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
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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