TABLAS DE ESTUDIO QUIMICAS, Apuntes de Química

¡Descarga TABLAS DE ESTUDIO QUIMICAS y más Apuntes en PDF de Química solo en Docsity! A p é n d i c e t a b l a s AT-1 Apéndice tabla 1 *Áreas bajo la curva de distribución de probabilidad normal estándar, entre la media y valores positivos de z 0.4875, del área Media z  2.24 Para encontrar el área bajo la curva entre la media y un punto que está a 2.24 desviaciones estándar a la derecha de la media, busque el valor que se encuentra a la altura del renglón correspondiente a 2.2 y en la columna del 0.04; 0.4875 del área bajo la curva se encuentra entre la media y un valor de z de 2.24. Ejemplo: z 0.00 0.01 0.02 0.03 0.04 0.05 0.06 0.07 0.08 0.09 0.0 0.0000 0.0040 0.0080 0.0120 0.0160 0.0199 0.0239 0.0279 0.0319 0.0359 0.1 0.0398 0.0438 0.0478 0.0517 0.0557 0.0596 0.0636 0.0675 0.0714 0.0753 0.2 0.0793 0.0832 0.0871 0.0910 0.0948 0.0987 0.1026 0.1064 0.1103 0.1141 0.3 0.1179 0.1217 0.1255 0.1293 0.1331 0.1368 0.1406 0.1443 0.1480 0.1517 0.4 0.1554 0.1591 0.1628 0.1664 0.1700 0.1736 0.1772 0.1808 0.1844 0.1879 0.5 0.1915 0.1950 0.1985 0.2019 0.2054 0.2088 0.2123 0.2157 0.2190 0.2224 0.6 0.2257 0.2291 0.2324 0.2357 0.2389 0.2422 0.2454 0.2486 0.2517 0.2549 0.7 0.2580 0.2611 0.2642 0.2673 0.2704 0.2734 0.2764 0.2794 0.2823 0.2852 0.8 0.2881 0.2910 0.2939 0.2967 0.2995 0.3023 0.3051 0.3078 0.3106 0.3133 0.9 0.3159 0.3186 0.3212 0.3238 0.3264 0.3289 0.3315 0.3340 0.3365 0.3389 1.0 0.3413 0.3438 0.3461 0.3485 0.3508 0.3531 0.3554 0.3577 0.3599 0.3621 1.1 0.3643 0.3665 0.3686 0.3708 0.3729 0.3749 0.3770 0.3790 0.3810 0.3830 1.2 0.3849 0.3869 0.3888 0.3907 0.3925 0.3944 0.3962 0.3980 0.3997 0.4015 1.3 0.4032 0.4049 0.4066 0.4082 0.4099 0.4115 0.4131 0.4147 0.4162 0.4177 1.4 0.4192 0.4207 0.4222 0.4236 0.4251 0.4265 0.4279 0.4292 0.4306 0.4319 1.5 0.4332 0.4345 0.4357 0.4370 0.4382 0.4394 0.4406 0.4418 0.4429 0.4441 1.6 0.4452 0.4463 0.4474 0.4484 0.4495 0.4505 0.4515 0.4525 0.4535 0.4545 1.7 0.4554 0.4564 0.4573 0.4582 0.4591 0.4599 0.4608 0.4616 0.4625 0.4633 1.8 0.4641 0.4649 0.4656 0.4664 0.4671 0.4678 0.4686 0.4693 0.4699 0.4706 1.9 0.4713 0.4719 0.4726 0.4732 0.4738 0.4744 0.4750 0.4756 0.4761 0.4767 2.0 0.4772 0.4778 0.4783 0.4788 0.4793 0.4798 0.4803 0.4808 0.4812 0.4817 2.1 0.4821 0.4826 0.4830 0.4834 0.4838 0.4842 0.4846 0.4850 0.4854 0.4857 2.2 0.4861 0.4864 0.4868 0.4871 0.4875 0.4878 0.4881 0.4884 0.4887 0.4890 2.3 0.4893 0.4896 0.4898 0.4901 0.4904 0.4906 0.4909 0.4911 0.4913 0.4916 2.4 0.4918 0.4920 0.4922 0.4925 0.4927 0.4929 0.4931 0.4932 0.4934 0.4936 2.5 0.4938 0.4940 0.4941 0.4943 0.4945 0.4946 0.4948 0.4949 0.4951 0.4952 2.6 0.4953 0.4955 0.4956 0.4957 0.4959 0.4960 0.4961 0.4962 0.4963 0.4964 2.7 0.4965 0.4966 0.4967 0.4968 0.4969 0.4970 0.4971 0.4972 0.4973 0.4974 2.8 0.4974 0.4975 0.4976 0.4977 0.4977 0.4978 0.4979 0.4979 0.4980 0.4981 2.9 0.4981 6.4982 0.4982 0.4983 0.4984 0.4984 0.4985 0.4985 0.4986 0.4986 3.0 0.4987 0.4987 0.4987 0.4988 0.4988 0.4989 0.4989 0.4989 0.4990 0.4990 *Tomado de Robert D. Mason, Essentials of Statistics, NJ 1976, p. 307. Reimpreso con licencia de Prentice-Hall, Inc., Englewood Cliffs, NJ. AT-2 Apéndice tablas Para encontrar el valor de t que corresponde a un área de 0.10 en ambos extremos de la distribución, cuando existen 19 grados de libertad, busque en la columna encabezada con 0.10 hasta el renglón correspondiente a 19 grados de libertad; el valor apropiado de t es 1.729. Ejemplo: Grados de Área combinada de ambos extremos libertad 0.10 0.05 0.02 0.01 1 6.314 12.706 31.821 63.657 2 2.920 4.303 6.965 9.925 3 2.353 3.182 4.541 5.841 4 2.132 2.776 3.747 4.604 5 2.015 2.571 3.365 4.032 6 1.943 2.447 3.143 3.707 7 1.895 2.365 2.998 3.499 8 1.860 2.306 2.896 3.355 9 1.833 2.262 2.821 3.250 10 1.812 2.228 2.764 3.169 11 1.796 2.201 2.718 3.106 12 1.782 2.179 2.681 3.055 13 1.771 2.160 2.650 3.012 14 1.761 2.145 2.624 2.977 15 1.753 2.131 2.602 2.947 16 1.746 2.120 2.583 2.921 17 1.740 2.110 2.567 2.898 18 1.734 2.101 2.552 2.878 19 1.729 2.093 2.539 2.861 20 1.725 2.086 2.528 2.845 21 1.721 2.080 2.518 2.831 22 1.717 2.074 2.508 2.819 23 1.714 2.069 2.500 2.807 24 1.711 2.064 2.492 2.797 25 1.708 2.060 2.485 2.787 26 1.706 2.056 2.479 2.779 27 1.703 2.052 2.473 2.771 28 1.701 2.048 2.467 2.763 29 1.699 2.045 2.462 2.756 30 1.697 2.042 2.457 2.750 40 1.684 2.021 2.423 2.704 60 1.671 2.000 2.390 2.660 120 1.658 1.980 2.358 2.617 Distribución normal 1.645 1.960 2.326 2.576 *Tomado de la tabla III de Fisher y Yates, Statistical Tables for Biological, Agricultural and Medical Research, publicado por Longman Group, LId., Londres (publicado anteriormente por Oliver & Boyd, Edimburgo) y con licencia de los autores y los editores. Apéndice tabla 2 *Áreas combinadas de ambos extremos para formar la distribución t de Student 0.05 del área 0.05 del área t  1.729 t  1.729 Apéndice tablas AT-5 P n r 0. 01 0. 02 0. 03 0. 04 0. 05 0. 06 0. 07 0. 08 0. 09 0. 10 0. 11 0. 12 0. 01 3 0. 14 0. 15 0. 16 0. 17 0. 18 r n 12 0 0. 88 64 0. 78 47 0. 69 38 0. 61 27 0. 54 04 0. 47 59 0. 41 86 0. 36 77 0. 32 25 0. 28 24 0. 24 70 0. 21 57 0. 18 80 0. 16 37 0. 14 22 0. 12 34 0. 10 69 0. 09 24 12 1 0. 10 74 0. 19 22 0. 25 75 0. 30 64 0. 34 13 0. 36 45 0. 37 81 0. 38 37 0. 38 27 0. 37 66 0. 36 63 0. 35 29 0. 33 72 0. 31 97 0. 30 12 0. 28 21 0. 26 27 0. 24 34 11 2 0. 00 60 0. 02 16 0. 04 38 0. 07 02 0. 09 88 0. 12 80 0. 15 65 0. 18 35 0. 20 82 0. 23 01 0. 24 90 0. 26 47 0. 27 71 0. 28 63 0. 29 24 0. 29 55 0. 29 60 0. 29 39 10 3 0. 00 02 0. 00 15 0. 00 45 0. 00 98 0. 01 73 0. 02 72 0. 03 93 0. 05 32 0. 06 86 0. 08 52 0. 10 26 0. 12 03 0. 13 80 0. 15 53 0. 17 20 0. 18 76 0. 20 21 0. 21 51 9 4 0. 00 00 0. 00 01 0. 00 03 0. 00 09 0. 00 21 0. 00 39 0. 00 67 0. 01 04 0. 01 53 0. 02 13 0. 02 85 0. 03 69 0. 04 64 0. 05 69 0. 06 83 0. 08 04 0. 09 31 0. 10 62 8 5  0. 00 00 0. 00 00 0. 00 01 0. 00 02 0. 00 04 0. 00 08 0. 00 14 0. 00 24 0. 00 38 0. 00 56 0. 00 81 0. 01 11 0. 01 48 0. 01 93 0. 02 45 0. 03 05 0. 03 73 7 6    0. 00 00 0. 00 00 0. 00 00 0. 00 01 0. 00 01 0. 00 03 0. 00 05 0. 00 08 0. 00 13 0. 00 19 0. 00 28 0. 00 40 0. 00 54 0. 00 73 0. 00 96 6 7       0. 00 00 0. 00 00 0. 00 00 0. 00 00 0. 00 01 0. 00 01 0. 00 02 0. 00 04 0. 00 06 0. 00 09 0. 00 13 0. 00 18 5 8           0. 00 00 0. 00 00 0. 00 00 0. 00 00 0. 00 01 0. 00 01 0. 00 02 0. 00 02 4 9               0. 00 00 0. 00 00 0. 00 00 0. 00 00 3 10                   2 11                   1 12                   0 12 15 0 0. 86 01 0. 73 86 0. 63 33 0. 54 21 0. 46 33 0. 39 53 0. 33 67 0. 28 63 0. 24 30 0. 20 59 0. 17 41 0. 14 70 0. 12 38 0. 10 41 0. 08 74 0. 07 31 0. 06 11 0. 05 10 15 1 0. 13 03 0. 22 61 0. 29 38 0. 33 88 0. 36 58 0. 37 85 0. 38 01 0. 37 34 0. 36 05 0. 34 32 0. 32 28 0. 30 06 0. 27 75 0. 25 42 0. 23 12 0. 20 90 0. 18 78 0. 16 78 14 2 0. 00 92 0. 03 23 0. 06 36 0. 09 88 0. 13 48 0. 16 91 0. 20 03 0. 22 73 0. 24 96 0. 26 69 0. 27 93 0. 28 70 0. 29 03 0. 28 97 0. 28 56 0. 27 87 0. 26 92 0. 25 78 13 3 0. 00 04 0. 00 29 0. 00 85 0. 01 78 0. 03 07 0. 04 68 0. 06 53 0. 08 57 0. 10 70 0. 12 85 0. 14 96 0. 16 96 0. 18 80 0. 20 44 0. 21 84 0. 23 00 0. 23 89 0. 24 52 12 4 0. 00 00 0. 00 02 0. 00 08 0. 00 22 0. 00 49 0. 00 90 0. 01 48 0. 02 23 0. 03 17 0. 04 28 0. 05 55 0. 06 94 0. 08 43 0. 09 98 0. 11 56 0. 13 14 0. 14 68 0. 16 15 11 5  0. 00 00 0. 00 01 0. 00 02 0. 00 06 0. 00 13 0. 00 24 0. 00 43 0. 00 69 0. 01 05 0. 01 51 0. 02 08 0. 02 77 0. 03 57 0. 04 49 0. 05 51 0. 06 62 0. 07 80 10 6   0. 00 00 0. 00 00 0. 00 00 0. 00 01 0. 00 03 0. 00 06 0. 00 11 0. 00 19 0. 00 31 0. 00 47 0. 00 69 0. 00 97 0. 01 32 0. 01 75 0. 02 26 0. 02 85 9 7      0. 00 00 0. 00 00 0. 00 01 0. 00 01 0. 00 03 0. 00 05 0. 00 08 0. 00 13 0. 00 20 0. 00 30 0. 00 43 0. 00 59 0. 00 81 8 8        0. 00 00 0. 00 00 0. 00 00 0. 00 01 0. 00 01 0. 00 02 0. 00 03 0. 00 05 0. 00 08 0. 00 12 0. 00 18 7 9           0. 00 00 0. 00 00 0. 00 00 0. 00 00 0. 00 01 0. 00 01 0. 00 02 0. 00 03 6 10               0. 00 00 0. 00 00 0. 00 00 0. 00 00 5 11                   4 12                   3 13                   2 14                   1 15                   0 15 20 0 0. 81 79 0. 66 76 0. 54 38 0. 44 20 0. 35 85 0. 29 01 0. 23 42 0. 18 87 0. 15 16 0. 12 16 0. 09 72 0. 07 76 0. 06 17 0. 04 90 0. 03 88 0. 03 06 0. 02 41 0. 01 89 20 1 0. 16 52 0. 27 25 0. 33 64 0. 36 83 0. 37 74 0. 37 03 0. 35 26 0. 32 82 0. 30 00 0. 27 02 0. 24 03 0. 21 15 0. 18 44 0. 15 95 0. 13 68 0. 11 65 0. 09 86 0. 08 29 19 2 0. 01 59 0. 05 28 0. 09 88 0. 14 58 0. 18 87 0. 22 46 0. 25 21 0. 27 11 0. 28 18 0. 28 52 0. 28 22 0. 27 40 0. 26 18 0. 24 66 0. 22 93 0. 21 09 0. 19 19 0. 17 30 18 3 0. 00 10 0. 00 65 0. 01 83 0. 03 64 0. 05 96 0. 08 60 0. 11 39 0. 14 14 0. 16 72 0. 19 01 0. 20 93 0. 22 42 0. 23 47 0. 24 09 0. 24 28 0. 24 10 0. 23 58 0. 22 78 17 4 0. 00 00 0. 00 06 0. 00 24 0. 00 65 0. 01 33 0. 02 33 0. 03 64 0. 05 23 0. 07 03 0. 08 98 0. 10 99 0. 12 99 0. 14 91 0. 16 66 0. 18 21 0. 19 51 0. 20 53 0. 21 25 16 5  0. 00 00 0. 00 02 0. 00 09 0. 00 22 0. 00 48 0. 00 88 0. 01 45 0. 02 22 0. 03 19 0. 04 35 0. 05 67 0. 07 13 0. 08 68 0. 10 28 0. 11 89 0. 13 45 0. 14 93 15 6   0. 00 00 0. 00 01 0. 00 03 0. 00 08 0. 00 17 0. 00 32 0. 00 55 0. 00 89 0. 01 34 0. 01 93 0. 02 66 0. 03 53 0. 04 54 0. 05 66 0. 06 89 0. 08 19 14 7    0. 00 00 0. 00 00 0. 00 01 0. 00 02 0. 00 05 0. 00 11 0. 00 20 0. 00 33 0. 00 53 0. 00 80 0. 01 15 0. 01 60 0. 02 16 0. 02 82 0. 03 60 13 8      0. 00 00 0. 00 00 0. 00 01 0. 00 02 0. 00 04 0. 00 07 0. 00 12 0. 00 19 0. 00 30 0. 00 46 0. 00 67 0. 00 94 0. 01 28 12 9        0. 00 00 0. 00 00 0. 00 01 0. 00 01 0. 00 02 0. 00 04 0. 00 07 0. 00 11 0. 00 17 0. 00 26 0. 00 38 11 10          0. 00 00 0. 00 00 0. 00 00 0. 00 01 0. 00 01 0. 00 02 0. 00 04 0. 00 06 0. 00 09 10 11             0. 00 00 0. 00 00 0. 00 00 0. 00 01 0. 00 01 0. 00 02 9 12                0. 00 00 0. 00 00 0. 00 00 8 13                   7 14                   6 15                   5 16                   4 17                   3 18                   2 19                   1 20                   0 20 n r 0. 99 0. 98 0. 97 0. 96 0. 95 0. 94 0. 93 0. 92 0. 91 0. 90 0. 89 0. 88 0. 87 0. 86 0. 85 0. 84 0. 83 0. 82 r n P AT-6 Apéndice tablas P n r 0. 19 0. 20 0. 21 0. 22 0. 23 0. 24 0. 25 0. 26 0. 27 0. 28 0. 29 0. 30 0. 31 0. 32 0. 33 0. 34 0. 35 0. 36 r n 2 0 0. 65 61 0. 64 00 0. 62 41 0. 60 84 0. 59 29 0. 57 76 0. 56 25 0. 54 76 0. 53 29 0. 51 84 0. 50 41 0. 49 00 0. 47 61 0. 46 24 0. 44 89 0. 43 56 0. 42 25 0. 40 96 2 1 0. 30 78 0. 32 00 0. 33 18 0. 34 32 0. 35 42 0. 36 48 0. 37 50 0. 38 48 0. 39 42 0. 40 32 0. 41 18 0. 42 00 0. 42 78 0. 43 52 0. 44 22 0. 44 88 0. 45 50 0. 46 08 1 2 0. 03 61 0. 04 00 0. 04 41 0. 04 84 0. 05 29 0. 05 76 0. 06 25 0. 06 76 0. 07 29 0. 07 84 0. 08 41 0. 09 00 0. 09 61 0. 10 24 0. 10 89 0. 11 56 0. 12 25 0. 12 96 0 2 3 0 0. 53 14 0. 51 20 0. 49 30 0. 47 46 0. 45 65 0. 43 90 0. 42 19 0. 40 52 0. 38 90 0. 37 32 0. 35 79 0. 34 30 0. 32 85 0. 31 44 0. 30 08 0. 28 75 0. 27 46 0. 26 21 3 1 0. 37 40 0. 38 40 0. 39 32 0. 40 15 0. 40 91 0. 41 59 0. 42 19 0. 42 71 0. 43 16 0. 43 55 0. 43 86 0. 44 10 0. 44 28 0. 44 39 0. 44 44 0. 44 43 0. 44 36 0. 44 24 2 2 0. 08 77 0. 09 60 0. 10 45 0. 11 33 0. 12 22 0. 13 13 0. 14 06 0. 15 01 0. 15 97 0. 16 93 0. 17 91 0. 18 90 0. 19 89 0. 20 89 0. 21 89 0. 22 89 0. 23 89 0. 24 88 1 3 0. 00 69 0. 00 80 0. 00 93 0. 01 06 0. 01 22 0. 01 38 0. 01 56 0. 01 76 0. 01 97 0. 02 20 0. 02 44 0. 02 70 0. 02 98 0. 03 28 0. 03 59 0. 03 93 0. 04 29 0. 04 67 0 3 4 0 0. 43 05 0. 40 96 0. 38 95 0. 37 02 0. 35 15 0. 33 36 0. 31 64 0. 29 99 0. 28 40 0. 26 87 0. 25 41 0. 24 01 0. 22 67 0. 21 38 0. 20 15 0. 18 97 0. 17 85 0. 16 78 4 1 0. 40 39 0. 40 96 0. 41 42 0. 41 76 0. 42 00 0. 42 14 0. 42 19 0. 42 14 0. 42 01 0. 41 80 0. 41 52 0. 41 16 0. 40 74 0. 40 25 0. 39 70 0. 39 10 0. 38 45 0. 37 75 3 2 0. 14 21 0. 15 36 0. 16 51 0. 17 67 0. 18 82 0. 19 96 0. 21 09 0. 22 21 0. 23 31 0. 24 39 0. 25 44 0. 26 46 0. 27 45 0. 28 41 0. 29 33 0. 30 21 0. 31 05 0. 31 85 2 3 0. 02 22 0. 02 56 0. 02 93 0. 03 32 0. 03 75 0. 04 20 0. 04 69 0. 05 20 0. 05 75 0. 06 32 0. 06 93 0. 07 56 0. 08 22 0. 08 91 0. 09 63 0. 10 38 0. 11 15 0. 11 94 1 4 0. 00 13 0. 00 16 0. 00 19 0. 00 23 0. 00 28 0. 00 33 0. 00 39 0. 00 46 0. 00 53 0. 00 61 0. 00 71 0. 00 81 0. 00 92 0. 01 05 0. 01 19 0. 01 34 0. 01 50 0. 01 68 0 4 5 0 0. 34 87 0. 32 77 0. 30 77 0. 28 87 0. 27 07 0. 25 36 0. 23 73 0. 22 19 0. 20 73 0. 19 35 0. 18 04 0. 16 81 0. 15 64 0. 14 54 0. 13 50 0. 12 52 0. 11 60 0. 10 74 5 1 0. 40 89 0. 40 96 0. 40 90 0. 40 72 0. 40 43 0. 40 03 0. 39 55 0. 38 98 0. 38 34 0. 37 62 0. 36 85 0. 36 01 0. 35 13 0. 34 21 0. 33 25 0. 32 26 0. 31 24 0. 30 20 4 2 0. 19 19 0. 20 48 0. 21 74 0. 22 97 0. 24 15 0. 25 29 0. 26 37 0. 27 39 0. 28 36 0. 29 26 0. 30 10 0. 30 87 0. 31 57 0. 32 20 0. 32 75 0. 33 23 0. 33 64 0. 33 97 3 3 0. 04 50 0. 05 12 0. 05 78 0. 06 48 0. 07 21 0. 07 98 0. 08 79 0. 09 62 0. 10 49 0. 11 38 0. 12 29 0. 13 23 0. 14 18 0. 15 15 0. 16 13 0. 17 12 0. 18 11 0. 19 11 2 4 0. 00 53 0. 00 64 0. 00 77 0. 00 91 0. 01 08 0. 01 26 0. 01 46 0. 01 69 0. 01 94 0. 02 21 0. 02 51 0. 02 83 0. 03 19 0. 03 57 0. 03 97 0. 04 41 0. 04 88 0. 05 37 1 5 0. 00 02 0. 00 03 0. 00 04 0. 00 05 0. 00 06 0. 00 08 0. 00 10 0. 00 12 0. 00 14 0. 00 17 0. 00 21 0. 00 24 0. 00 29 0. 00 34 0. 00 39 0. 00 45 0. 00 53 0. 00 60 0 5 6 0 0. 28 24 0. 26 21 0. 24 31 0. 22 52 0. 20 84 0. 19 27 0. 17 80 0. 16 42 0. 15 13 0. 13 93 0. 12 81 0. 11 76 0. 10 79 0. 09 89 0. 09 05 0. 08 27 0. 07 54 0. 06 87 6 1 0. 39 75 0. 39 32 0. 38 77 0. 38 11 0. 37 35 0. 36 51 0. 35 60 0. 34 62 0. 33 58 0. 32 51 0. 31 39 0. 30 25 0. 29 09 0. 27 92 0. 26 73 0. 25 55 0. 24 37 0. 23 19 5 2 0. 23 31 0. 24 58 0. 25 77 0. 26 87 0. 27 89 0. 28 82 0. 29 66 0. 30 41 0. 31 05 0. 31 60 0. 32 06 0. 32 41 0. 32 67 0. 32 84 0. 32 92 0. 32 90 0. 32 80 0. 32 61 4 3 0. 07 29 0. 08 19 0. 09 13 0. 10 11 0. 11 11 0. 12 14 0. 13 18 0. 14 24 0. 15 31 0. 16 39 0. 17 46 0. 18 52 0. 19 57 0. 20 61 0. 21 62 0. 22 60 0. 23 55 0. 24 46 3 4 0. 01 28 0. 01 54 0. 01 82 0. 02 14 0. 02 49 0. 02 87 0. 03 30 0. 03 75 0. 04 25 0. 04 78 0. 05 35 0. 05 95 0. 06 60 0. 07 27 0. 07 99 0. 08 73 0. 09 51 0. 10 32 2 5 0. 00 12 0. 00 15 0. 00 19 0. 00 24 0. 00 30 0. 00 36 0. 00 44 0. 00 53 0. 00 63 0. 00 74 0. 00 87 0. 01 02 0. 01 19 0. 01 37 0. 01 57 0. 01 80 0. 02 05 0. 02 32 1 6 0. 00 00 0. 00 01 0. 00 01 0. 00 01 0. 00 01 0. 00 02 0. 00 02 0. 00 03 0. 00 04 0. 00 05 0. 00 06 0. 00 07 0. 00 09 0. 00 11 0. 00 13 0. 00 15 0. 00 18 0. 00 22 0 6 7 0 0. 22 88 0. 20 97 0. 19 20 0. 17 57 0. 16 05 0. 14 65 0. 13 35 0. 12 15 0. 11 05 0. 10 03 0. 09 10 0. 08 24 0. 07 45 0. 06 72 0. 06 06 0. 05 46 0. 04 90 0. 04 40 7 1 0. 37 56 0. 36 70 0. 35 73 0. 34 68 0. 33 56 0. 32 37 0. 31 15 0. 29 89 0. 28 60 0. 27 31 0. 26 00 0. 24 71 0. 23 42 0. 22 15 0. 20 90 0. 19 67 0. 18 48 0. 17 32 6 2 0. 26 43 0. 27 53 0. 28 50 0. 29 35 0. 30 07 0. 30 67 0. 31 15 0. 31 50 0. 31 74 0. 31 86 0. 31 86 0. 31 77 0. 31 56 0. 31 27 0. 30 88 0. 30 40 0. 29 85 0. 29 22 5 3 0. 10 33 0. 11 47 0. 12 63 0. 13 79 0. 14 97 0. 16 14 0. 17 30 0. 18 45 0. 19 56 0. 20 65 0. 21 69 0. 22 69 0. 23 63 0. 24 52 0. 25 35 0. 26 10 0. 26 79 0. 27 40 4 4 0. 02 42 0. 02 87 0. 03 36 0. 03 89 0. 04 47 0. 05 10 0. 05 77 0. 06 48 0. 07 24 0. 08 03 0. 08 86 0. 09 72 0. 10 62 0. 11 54 0. 12 48 0. 13 45 0. 14 42 0. 15 41 3 5 0. 00 34 0. 00 43 0. 00 54 0. 00 66 0. 00 80 0. 00 97 0. 01 15 0. 01 37 0. 01 61 0. 01 87 0. 02 17 0. 02 50 0. 02 86 0. 03 26 0. 03 69 0. 04 16 0. 04 66 0. 05 20 2 6 0. 00 03 0. 00 04 0. 00 05 0. 00 06 0. 00 08 0. 00 10 0. 00 13 0. 00 16 0. 00 20 0. 00 24 0. 00 30 0. 00 36 0. 00 43 0. 00 51 0. 00 61 0. 00 71 0. 00 84 0. 00 98 1 7 0. 00 00 0. 00 00 0. 00 00 0. 00 00 0. 00 00 0. 00 00 0. 00 01 0. 00 01 0. 00 01 0. 00 01 0. 00 02 0. 00 02 0. 00 03 0. 00 03 0. 00 04 0. 00 05 0. 00 06 0. 00 08 0 7 n r 0. 81 0. 80 0. 79 0. 78 0. 77 0. 76 0. 75 0. 74 0. 73 0. 72 0. 71 0. 70 0. 69 0. 68 0. 67 0. 66 0. 65 0. 64 r n P Apéndice tablas AT-7 P n r 0. 19 0. 20 0. 21 0. 22 0. 23 0. 24 0. 25 0. 26 0. 27 0. 28 0. 29 0. 30 0. 31 0. 32 0. 33 0. 34 0. 35 0. 36 r n 8 0 0. 18 53 0. 16 78 0. 15 17 0. 13 70 0. 12 36 0. 11 13 0. 10 01 0. 08 99 0. 08 06 0. 07 22 0. 06 46 0. 05 76 0. 05 14 0. 04 57 0. 04 06 0. 03 60 0. 03 19 0. 02 81 8 1 0. 34 77 0. 33 55 0. 32 26 0. 30 92 0. 29 53 0. 28 12 0. 26 70 0. 25 27 0. 23 86 0. 22 47 0. 21 10 0. 19 77 0. 18 47 0. 17 21 0. 16 00 0. 14 84 0. 13 73 0. 12 67 7 2 0. 28 55 0. 29 36 0. 30 02 0. 30 52 0. 30 87 0. 31 08 0. 31 15 0. 31 08 0. 30 89 0. 30 58 0. 30 17 0. 29 65 0. 29 04 0. 28 35 0. 27 58 0. 26 75 0. 25 87 0. 24 94 6 3 0. 13 39 0. 14 68 0. 15 96 0. 17 22 0. 18 44 0. 19 63 0. 20 76 0. 21 84 0. 22 85 0. 23 79 0. 24 64 0. 25 41 0. 26 09 0. 26 68 0. 27 17 0. 27 56 0. 27 86 0. 28 05 5 4 0. 03 93 0. 04 59 0. 05 30 0. 06 07 0. 06 89 0. 07 75 0. 08 65 0. 09 59 0. 10 56 0. 11 56 0. 12 58 0. 13 61 0. 14 65 0. 15 69 0. 16 73 0. 17 75 0. 18 75 0. 19 73 4 5 0. 00 74 0. 00 92 0. 01 13 0. 01 37 0. 01 65 0. 01 96 0. 02 31 0. 02 70 0. 03 13 0. 03 60 0. 04 11 0. 04 67 0. 05 27 0. 05 91 0. 06 59 0. 07 32 0. 08 08 0. 08 88 3 6 0. 00 09 0. 00 11 0. 00 15 0. 00 19 0. 00 25 0. 00 31 0. 00 38 0. 00 47 0. 00 58 0. 00 70 0. 00 84 0. 01 00 0. 01 18 0. 01 39 0. 01 62 0. 01 88 0. 02 17 0. 02 50 2 7 0. 00 01 0. 00 01 0. 00 01 0. 00 02 0. 00 02 0. 00 03 0. 00 04 0. 00 05 0. 00 06 0. 00 08 0. 00 10 0. 00 12 0. 00 15 0. 00 19 0. 00 23 0. 00 28 0. 00 33 0. 00 40 1 8 0. 00 00 0. 00 00 0. 00 00 0. 00 00 0. 00 00 0. 00 00 0. 00 00 0. 00 00 0. 00 00 0. 00 00 0. 00 01 0. 00 01 0. 00 01 0. 00 01 0. 00 01 0. 00 02 0. 00 02 0. 00 03 0 8 9 0 0. 15 01 0. 13 42 0. 11 99 0. 10 69 0. 09 52 0. 08 46 0. 07 51 0. 06 65 0. 05 89 0. 05 20 0. 04 58 0. 04 04 0. 03 55 0. 03 11 0. 02 72 0. 02 38 0. 02 07 0. 01 80 9 1 0. 31 69 0. 30 20 0. 28 67 0. 27 13 0. 25 58 0. 24 04 0. 22 53 0. 21 04 0. 19 60 0. 18 20 0. 16 85 0. 15 56 0. 14 33 0. 13 17 0. 12 06 0. 11 02 0. 10 04 0. 09 12 8 2 0. 29 73 0. 30 20 0. 30 49 0. 30 61 0. 30 56 0. 30 37 0. 30 03 0. 29 57 0. 28 99 0. 28 31 0. 27 54 0. 26 68 0. 25 76 0. 24 78 0. 23 76 0. 22 70 0. 21 62 0. 20 52 7 3 0. 16 27 0. 17 62 0. 18 91 0. 20 14 0. 21 30 0. 22 38 0. 23 36 0. 24 24 0. 25 02 0. 25 69 0. 26 24 0. 26 68 0. 27 01 0. 27 21 0. 27 31 0. 27 29 0. 27 16 0. 26 93 6 4 0. 05 73 0. 06 61 0. 07 54 0. 08 52 0. 09 54 0. 10 60 0. 11 68 0. 12 78 0. 13 88 0. 14 99 0. 16 08 0. 17 15 0. 18 20 0. 19 21 0. 20 17 0. 21 09 0. 21 94 0. 22 72 5 5 0. 01 34 0. 01 65 0. 02 00 0. 02 40 0. 02 85 0. 03 35 0. 03 89 0. 04 49 0. 05 13 0. 05 83 0. 06 57 0. 07 35 0. 08 18 0. 09 04 0. 09 94 0. 10 86 0. 11 81 0. 12 78 4 6 0. 00 21 0. 00 28 0. 00 36 0. 00 45 0. 00 57 0. 00 70 0. 00 87 0. 01 05 0. 01 27 0. 01 51 0. 01 79 0. 02 10 0. 02 45 0. 02 84 0. 03 26 0. 03 73 0. 04 24 0. 04 79 3 7 0. 00 02 0. 00 03 0. 00 04 0. 00 05 0. 00 07 0. 00 10 0. 00 12 0. 00 16 0. 00 20 0. 00 25 0. 00 31 0. 00 39 0. 00 47 0. 00 57 0. 00 69 0. 00 82 0. 00 98 0. 01 16 2 8 0. 00 00 0. 00 00 0. 00 00 0. 00 00 0. 00 01 0. 00 01 0. 00 01 0. 00 01 0. 00 02 0. 00 02 0. 00 03 0. 00 04 0. 00 05 0. 00 07 0. 00 08 0. 00 11 0. 00 13 0. 00 16 1 9     0. 00 00 0. 00 00 0. 00 00 0. 00 00 0. 00 00 0. 00 00 0. 00 00 0. 00 00 0. 00 00 0. 00 00 0. 00 00 0. 00 01 0. 00 01 0. 00 01 0 9 10 0 0. 12 16 0. 10 74 0. 09 47 0. 08 34 0. 07 33 0. 06 43 0. 05 63 0. 04 92 0. 04 30 0. 03 74 0. 03 26 0. 02 82 0. 02 45 0. 02 11 0. 01 82 0. 01 57 0. 01 35 0. 01 15 10 1 0. 28 52 0. 26 84 0. 25 17 0. 23 51 0. 21 88 0. 20 30 0. 18 77 0. 17 30 0. 15 90 0. 14 56 0. 13 30 0. 12 11 0. 10 99 0. 09 95 0. 08 98 0. 08 08 0. 07 25 0. 06 49 9 2 0. 30 10 0. 30 20 0. 30 11 0. 29 84 0. 29 42 0. 28 85 0. 28 16 0. 27 35 0. 26 46 0. 25 48 0. 24 44 0. 23 35 0. 22 22 0. 21 07 0. 19 90 0. 18 73 0. 17 57 0. 16 42 8 3 0. 18 83 0. 20 13 0. 21 34 0. 22 44 0. 23 43 0. 24 29 0. 25 03 0. 25 63 0. 26 09 0. 26 42 0. 26 62 0. 26 68 0. 26 62 0. 26 44 0. 26 14 0. 25 73 0. 25 22 0. 24 62 7 4 0. 07 73 0. 08 81 0. 09 93 0. 11 08 0. 12 25 0. 13 43 0. 14 60 0. 15 76 0. 16 89 0. 17 98 0. 19 03 0. 20 01 0. 20 93 0. 21 77 0. 22 53 0. 23 20 0. 23 77 0. 24 24 6 5 0. 02 18 0. 02 64 0. 03 17 0. 03 75 0. 04 39 0. 05 09 0. 05 84 0. 06 64 0. 07 50 0. 08 39 0. 09 33 0. 10 29 0. 11 28 0. 12 29 0. 13 32 0. 14 34 0. 15 36 0. 16 36 5 6 0. 00 43 0. 00 55 0. 00 70 0. 00 88 0. 01 09 0. 01 34 0. 01 62 0. 01 95 0. 02 31 0. 02 72 0. 03 17 0. 03 68 0. 04 22 0. 04 82 0. 05 47 0. 06 16 0. 06 89 0. 07 67 4 7 0. 00 06 0. 00 08 0. 00 11 0. 00 14 0. 00 19 0. 00 24 0. 00 31 0. 00 39 0. 00 49 0. 00 60 0. 00 74 0. 00 90 0. 01 08 0. 01 30 0. 01 54 0. 01 81 0. 02 12 0. 02 47 3 8 0. 00 01 0. 00 01 0. 00 01 0. 00 02 0. 00 02 0. 00 03 0. 00 04 0. 00 05 0. 00 07 0. 00 09 0. 00 11 0. 00 14 0. 00 18 0. 00 23 0. 00 28 0. 00 35 0. 00 43 0. 00 52 2 9 0. 00 00 0. 00 00 0. 00 00 0. 00 00 0. 00 00 0. 00 00 0. 00 00 0. 00 00 0. 00 01 0. 00 01 0. 00 01 0. 00 01 0. 00 02 0. 00 02 0. 00 03 0. 00 04 0. 00 05 0. 00 06 1 10         0. 00 00 0. 00 00 0. 00 00 0. 00 00 0. 00 00 0. 00 00 0. 00 00 0. 00 00 0. 00 00 0. 00 00 0 10 12 0 0. 07 98 0. 06 87 0. 05 91 0. 05 07 0. 04 34 0. 03 71 0. 03 17 0. 02 70 0. 02 29 0. 01 94 0. 01 64 0. 01 38 0. 01 16 0. 00 98 0. 00 82 0. 00 68 0. 00 57 0. 00 47 12 1 0. 22 45 0. 20 62 0. 18 85 0. 17 17 0. 15 57 0. 14 07 0. 12 67 0. 11 37 0. 10 16 0. 09 06 0. 08 04 0. 07 12 0. 06 28 0. 05 52 0. 04 84 0. 04 22 0. 03 68 0. 03 19 11 2 0. 28 97 0. 28 35 0. 27 56 0. 26 63 0. 25 58 0. 24 44 0. 23 23 0. 21 97 0. 20 68 0. 19 37 0. 18 07 0. 16 78 0. 15 52 0. 14 29 0. 13 10 0. 11 97 0. 10 88 0. 09 86 10 3 0. 22 65 0. 23 62 0. 24 42 0. 25 03 0. 25 47 0. 25 73 0. 25 81 0. 25 73 0. 25 49 0. 25 11 0. 24 60 0. 23 97 0. 23 24 0. 22 41 0. 21 51 0. 20 55 0. 19 54 0. 18 49 9 4 0. 11 95 0. 13 29 0. 14 60 0. 15 89 0. 17 12 0. 18 28 0. 19 36 0. 20 34 0. 21 22 0. 21 97 0. 22 61 0. 23 11 0. 23 49 0. 23 73 0. 23 84 0. 23 82 0. 23 67 0. 23 40 8 5 0. 04 49 0. 05 32 0. 06 21 0. 07 17 0. 08 18 0. 09 24 0. 10 32 0. 11 43 0. 12 55 0. 13 67 0. 14 77 0. 15 85 0. 16 88 0. 17 87 0. 18 79 0. 19 63 0. 20 39 0. 21 06 7 6 0. 01 23 0. 01 55 0. 01 93 0. 02 36 0. 02 85 0. 03 40 0. 04 01 0. 04 69 0. 05 42 0. 06 20 0. 07 04 0. 07 92 0. 08 85 0. 09 81 0. 10 79 0. 11 80 0. 12 81 0. 13 82 6 7 0. 00 25 0. 00 33 0. 00 44 0. 00 57 0. 00 73 0. 00 92 0. 01 15 0. 01 41 0. 01 72 0. 02 07 0. 02 46 0. 02 91 0. 03 41 0. 03 96 0. 04 56 0. 05 21 0. 05 91 0. 06 66 5 8 0. 00 04 0. 00 05 0. 00 07 0. 00 10 0. 00 14 0. 00 18 0. 00 24 0. 00 31 0. 00 40 0. 00 50 0. 00 63 0. 00 78 0. 00 96 0. 01 16 0. 01 40 0. 01 68 0. 01 99 0. 02 34 4 9 0. 00 00 0. 00 01 0. 00 01 0. 00 01 0. 00 02 0. 00 03 0. 00 04 0. 00 05 0. 00 07 0. 00 09 0. 00 11 0. 00 15 0. 00 19 0. 00 24 0. 00 31 0. 00 38 0. 00 48 0. 00 59 3 10  0. 00 00 0. 00 00 0. 00 00 0. 00 00 0. 00 00 0. 00 00 0. 00 01 0. 00 01 0. 00 01 0. 00 01 0. 00 02 0. 00 03 0. 00 03 0. 00 05 0. 00 06 0. 00 08 0. 00 10 2 11        0. 00 00 0. 00 00 0. 00 00 0. 00 00 0. 00 00 0. 00 00 0. 00 00 0. 00 00 0. 00 01 0. 00 01 0. 00 01 1 12                0. 00 00 0. 00 00 0. 00 00 0 12 n r 0. 81 0. 80 0. 79 0. 78 0. 77 0. 76 0. 75 0. 74 0. 73 0. 72 0. 71 0. 70 0. 69 0. 68 0. 67 0. 66 0. 65 0. 64 r n P AT-10 Apéndice tablas P n r 0. 37 0. 38 0. 39 0. 40 0. 41 0. 42 0. 43 0. 44 0. 45 0. 46 0. 47 0. 48 0. 49 0. 50 r n 8 0 0. 02 48 0. 02 18 0. 01 92 0. 01 68 0. 01 47 0. 01 28 0. 01 11 0. 00 97 0. 00 84 0. 00 72 0. 00 62 0. 00 53 0. 00 46 0. 00 39 8 1 0. 11 66 0. 10 71 0. 09 81 0. 08 96 0. 08 16 0. 07 42 0. 06 72 0. 06 08 0. 05 48 0. 04 93 0. 04 42 0. 03 95 0. 03 52 0. 03 12 7 2 0. 23 97 0. 22 97 0. 21 94 0. 20 90 0. 19 85 0. 18 80 0. 17 76 0. 16 72 0. 15 69 0. 14 69 0. 13 71 0. 12 75 0. 11 83 0. 10 94 6 3 0. 28 15 0. 28 15 0. 28 06 0. 27 87 0. 27 59 0. 27 23 0. 26 79 0. 26 27 0. 25 68 0. 25 03 0. 24 31 0. 23 55 0. 22 73 0. 21 87 5 4 0. 20 67 0. 21 57 0. 22 42 0. 23 22 0. 23 97 0. 24 65 0. 25 26 0. 25 80 0. 26 27 0. 26 65 0. 26 95 0. 27 17 0. 27 30 0. 27 34 4 5 0. 09 71 0. 10 58 0. 11 47 0. 12 39 0. 13 32 0. 14 28 0. 15 25 0. 16 22 0. 17 19 0. 18 16 0. 19 12 0. 20 06 0. 20 98 0. 21 87 3 6 0. 02 85 0. 03 24 0. 03 67 0. 04 13 0. 04 63 0. 05 17 0. 05 75 0. 06 37 0. 07 03 0. 07 74 0. 08 48 0. 09 26 0. 10 08 0. 10 94 2 7 0. 00 48 0. 00 57 0. 00 67 0. 00 79 0. 00 92 0. 01 07 0. 01 24 0. 01 43 0. 01 64 0. 01 88 0. 02 15 0. 02 44 0. 02 77 0. 03 12 1 8 0. 00 04 0. 00 04 0. 00 05 0. 00 07 0. 00 08 0. 00 10 0. 00 12 0. 00 14 0. 00 17 0. 00 20 0. 00 24 0. 00 28 0. 00 33 0. 00 39 0 8 9 0 0. 01 56 0. 01 35 0. 01 17 0. 01 01 0. 00 87 0. 00 74 0. 00 64 0. 00 54 0. 00 46 0. 00 39 0. 00 33 0. 00 28 0. 00 23 0. 00 20 9 1 0. 08 26 0. 07 47 0. 06 73 0. 06 05 0. 05 42 0. 04 84 0. 04 31 0. 03 83 0. 03 39 0. 02 99 0. 02 63 0. 02 31 0. 02 02 0. 01 76 8 2 0. 19 41 0. 18 31 0. 17 21 0. 16 12 0. 15 06 0. 14 02 0. 13 01 0. 12 04 0. 11 10 0. 10 20 0. 09 34 0. 08 53 0. 07 76 0. 07 03 7 3 0. 26 60 0. 26 18 0. 25 67 0. 25 08 0. 24 42 0. 23 69 0. 22 91 0. 22 07 0. 21 19 0. 20 27 0. 19 33 0. 18 37 0. 17 39 0. 16 41 6 4 0. 23 44 0. 24 07 0. 24 62 0. 25 08 0. 25 45 0. 25 73 0. 25 92 0. 26 01 0. 26 00 0. 25 90 0. 25 71 0. 25 43 0. 25 06 0. 24 61 5 5 0. 13 76 0. 14 75 0. 15 74 0. 16 72 0. 17 69 0. 18 63 0. 19 55 0. 20 44 0. 21 28 0. 22 07 0. 22 80 0. 23 47 0. 24 08 0. 24 61 4 6 0. 05 39 0. 06 03 0. 06 71 0. 07 43 0. 08 19 0. 09 00 0. 09 83 0. 10 70 0. 11 60 0. 12 53 0. 13 48 0. 14 45 0. 15 42 0. 16 41 3 7 0. 01 36 0. 01 58 0. 01 84 0. 02 12 0. 02 44 0. 02 79 0. 03 18 0. 03 60 0. 04 07 0. 04 58 0. 05 12 0. 05 71 0. 06 35 0. 07 03 2 8 0. 00 20 0. 00 24 0. 00 29 0. 00 35 0. 00 42 0. 00 51 0. 00 60 0. 00 71 0. 00 83 0. 00 97 0. 01 14 0. 01 32 0. 01 53 0. 01 76 1 9 0. 00 01 0. 00 02 0. 00 02 0. 00 03 0. 00 03 0. 00 04 0. 00 05 0. 00 06 0. 00 08 0. 00 09 0. 00 11 0. 00 14 0. 00 16 0. 00 20 0 9 10 0 0. 00 98 0. 00 84 0. 00 71 0. 00 60 0. 00 51 0. 00 43 0. 00 36 0. 00 30 0. 00 25 0. 00 21 0. 00 17 0. 00 14 0. 00 12 0. 00 10 10 1 0. 05 78 0. 05 14 0. 04 56 0. 04 03 0. 03 55 0. 03 12 0. 02 73 0. 02 38 0. 02 07 0. 01 80 0. 01 55 0. 01 33 0. 01 14 0. 00 98 9 2 0. 15 29 0. 14 19 0. 13 12 0. 12 09 0. 11 11 0. 10 17 0. 09 27 0. 08 43 0. 07 63 0. 06 88 0. 06 19 0. 05 54 0. 04 94 0. 04 39 8 3 0. 23 94 0. 23 19 0. 22 37 0. 21 50 0. 20 58 0. 19 63 0. 18 65 0. 17 65 0. 16 65 0. 15 64 0. 14 64 01 36 4 0. 12 67 0. 11 72 7 4 0. 24 61 0. 24 87 0. 25 03 0. 25 08 0. 25 03 0. 24 88 02 46 2 0. 24 27 0. 23 84 0. 23 31 0. 22 71 0. 22 04 0. 21 30 0. 20 51 6 5 0. 17 34 0. 18 29 0. 19 20 0. 20 07 0. 20 87 0. 21 62 0. 22 29 0. 22 89 0. 23 40 0. 23 83 0. 24 17 0. 24 41 0. 24 56 0. 24 61 5 6 0. 08 49 0. 09 34 0. 10 23 01 11 5 0. 12 09 0. 13 04 0. 14 01 0. 14 99 0. 15 96 0. 16 92 0. 17 86 0. 18 78 0. 19 66 0. 20 51 4 7 0. 02 85 0. 03 27 0. 03 74 0. 04 25 0. 04 80 0. 05 40 0. 06 04 0. 06 73 0. 07 46 0. 08 24 0. 09 05 0. 09 91 0. 10 80 0. 11 72 3 8 0. 00 63 0. 00 75 0. 00 90 0. 01 06 0. 01 25 0. 01 47 0. 01 71 0. 01 98 0. 02 29 0. 02 63 0. 03 01 0. 03 43 0. 03 89 0. 04 39 2 9 0. 00 08 0. 00 10 0. 00 13 0. 00 16 0. 00 19 0. 00 24 0. 00 29 0. 00 35 0. 00 42 0. 00 50 0. 00 59 0. 00 70 0. 00 83 0. 00 98 1 10 0. 00 00 0. 00 01 0. 00 01 0. 00 01 0. 00 01 0. 00 02 0. 00 02 0. 00 03 0. 00 03 0. 00 04 0. 00 05 0. 00 06 0. 00 08 0. 00 10 0 10 n r 0. 63 0. 62 0. 61 0. 60 0. 59 0. 58 0. 57 0. 56 0. 55 0. 54 0. 53 0. 52 0. 51 0. 50 r n P Apéndice tablas AT-11 P n r 0. 37 0. 38 0. 39 0. 40 0. 41 0. 42 0. 43 0. 44 0. 45 0. 46 0. 47 0. 48 0. 49 0. 50 r n 12 0 0. 00 39 0. 00 32 0. 00 27 0. 00 22 0. 00 18 0. 00 14 0. 00 12 0. 00 10 0. 00 08 0. 00 06 0. 00 05 0. 00 04 0. 00 03 0. 00 02 12 1 0. 02 76 0. 02 37 0. 02 04 0. 01 74 0. 01 48 0. 01 26 0. 01 06 0. 00 90 0. 00 75 0. 00 63 0. 00 52 0. 00 43 0. 00 36 0. 00 29 11 2 0. 08 90 0. 08 00 0. 07 16 0. 06 39 0. 05 67 0. 05 02 0. 04 42 0. 03 88 0. 03 39 0. 02 94 0. 02 55 0. 02 20 0. 01 89 0. 01 61 10 3 0. 17 42 0. 16 34 0. 15 26 0. 14 19 0. 13 14 0. 12 11 0. 11 11 0. 10 15 0. 09 23 0. 08 36 0. 07 54 0. 06 76 0. 06 04 0. 05 37 9 4 0. 23 02 0. 22 54 0. 21 95 0. 21 28 0. 20 54 0. 19 73 0. 18 86 0. 17 94 0. 17 00 0. 16 02 0. 15 04 0. 14 05 0. 13 06 0. 12 08 8 5 0. 21 63 0. 22 10 0. 22 46 0. 22 70 0. 22 84 0. 22 85 0. 22 76 0. 22 56 0. 22 25 0. 21 84 0. 21 34 0. 20 75 0. 20 08 0. 19 34 7 6 0. 14 82 0. 15 80 0. 16 75 0. 17 66 0. 18 51 0. 19 31 0. 20 03 0. 20 68 0. 21 24 0. 21 71 0. 22 08 0. 22 34 0. 22 50 0. 22 56 6 7 0. 07 46 0. 08 30 0. 09 18 0. 10 09 0. 11 03 0. 11 98 0. 12 95 0. 13 93 0. 14 89 0. 15 85 0. 16 78 0. 17 68 0. 18 53 0. 19 34 5 8 0. 02 74 0. 03 18 0. 03 67 0. 04 20 0. 04 79 0. 05 42 0. 06 11 0. 06 84 0. 07 62 0. 08 44 0. 09 30 0. 10 20 0. 11 13 0. 12 08 4 9 0. 00 71 0. 00 87 0. 01 04 0. 01 25 0. 01 48 0. 01 75 0. 02 05 0. 02 39 0. 02 77 0. 03 19 0. 03 67 0. 04 18 0. 04 75 0. 05 37 3 10 0. 00 13 0. 00 16 0. 00 20 0. 00 25 0. 00 31 0. 00 38 0. 00 46 0. 00 56 0. 00 68 0. 00 82 0. 00 98 0. 01 16 0. 01 37 0. 01 61 2 11 0. 00 01 0. 00 02 0. 00 02 0. 00 03 0. 00 04 0. 00 05 0. 00 06 0. 00 08 0. 00 10 0. 00 13 0. 00 16 0. 00 19 0. 00 24 0. 00 29 1 12 0. 00 00 0. 00 00 0. 00 00 0. 00 00 0. 00 00 0. 00 00 0. 00 00 0. 00 01 0. 00 01 0. 00 01 0. 00 01 0. 00 01 0. 00 02 0. 00 02 0 12 15 0 0. 00 10 0. 00 08 0. 00 06 0. 00 05 0. 00 04 0. 00 03 0. 00 02 0. 00 02 0. 00 01 0. 00 01 0. 00 01 0. 00 01 0. 00 00 0. 00 00 15 1 0. 00 86 0. 00 71 0. 00 58 0. 00 47 0. 00 38 0. 00 31 0. 00 25 0. 00 20 0. 00 16 0. 00 12 0. 00 10 0. 00 08 0. 00 06 0. 00 05 14 2 0. 03 54 0. 03 03 0. 02 59 0. 02 19 0. 01 85 0. 01 56 0. 01 30 0. 01 08 0. 00 90 0. 00 74 0. 00 60 0. 00 49 0. 00 40 0. 00 32 13 3 0. 09 01 0. 08 05 0. 07 16 0. 06 34 0. 05 58 0. 04 89 0. 04 26 0. 03 69 0. 03 18 0. 02 72 0. 02 32 0. 01 97 0. 01 66 0. 01 39 12 4 0. 15 87 0. 14 81 0. 13 74 0. 12 68 0. 11 63 0. 10 61 0. 09 63 0. 08 69 0. 07 80 0. 06 96 0. 06 17 0. 05 45 0. 04 78 0. 04 17 11 5 0. 20 51 0. 19 97 0. 19 33 0. 18 59 0. 17 78 0. 16 91 0. 15 98 0. 15 02 0. 14 04 0. 13 04 0. 12 04 0. 11 06 0. 10 10 0. 09 16 10 6 0. 20 08 0. 20 40 0. 20 59 0. 20 66 0. 20 60 0. 20 41 0. 20 10 0. 19 67 0. 19 14 0. 18 51 0. 17 80 0. 17 02 0. 16 17 0. 15 27 9 7 0. 15 16 0. 16 08 0. 16 93 0. 17 71 0. 18 40 0. 19 00 0. 19 49 0. 19 87 0. 20 13 0. 20 28 0. 20 30 0. 20 20 0. 19 97 0. 19 64 8 8 0. 08 90 0. 09 85 0. 10 82 0. 11 81 0. 12 79 0. 13 76 0. 14 70 0. 15 61 0. 16 47 0. 17 27 0. 18 00 0. 18 64 0. 19 19 0. 19 64 7 9 0. 04 07 0. 04 70 0. 05 38 0. 06 12 0. 06 91 0. 07 75 0. 08 63 0. 09 54 0. 10 48 0. 11 44 0. 12 41 0. 13 38 0. 14 34 0. 15 27 6 10 0. 01 43 0. 01 73 0. 02 06 0. 02 45 0. 02 88 0. 03 37 0. 03 90 0. 04 50 0. 05 15 0. 05 85 0. 06 61 0. 07 41 0. 08 27 0. 09 16 5 11 0. 00 38 0. 00 48 0. 00 60 0. 00 74 0. 00 91 0. 01 11 0. 01 34 0. 01 61 0. 01 91 0. 02 26 0. 02 66 0. 03 11 0. 03 61 0. 04 17 4 12 0. 00 07 0. 00 10 0. 00 13 0. 00 16 0. 00 21 0. 00 27 0. 00 34 0. 00 42 0. 00 52 0. 00 64 0. 00 79 0. 00 96 0. 01 16 0. 01 39 3 13 0. 00 01 0. 00 01 0. 00 02 0. 00 03 0. 00 03 0. 00 04 0. 00 06 0. 00 08 0. 00 10 0. 00 13 0. 00 16 0. 00 20 0. 00 26 0. 00 32 2 14 0. 00 00 0. 00 00 0. 00 00 0. 00 00 0. 00 00 0. 00 00 0. 00 01 0. 00 01 0. 00 01 0. 00 02 0. 00 02 0. 00 03 0. 00 04 0. 00 05 1 15       0. 00 00 0. 00 00 0. 00 00 0. 00 00 0. 00 00 0. 00 00 0. 00 00 0. 00 00 0 15 20 0 0. 00 01 0. 00 01 0. 00 01 0. 00 00 0. 00 00 0. 00 00 0. 00 00 0. 00 00 0. 00 00 0. 00 00 0. 00 00    20 1 0. 00 11 0. 00 09 0. 00 07 0. 00 05 0. 00 04 0. 00 03 0. 00 02 0. 00 01 0. 00 01 0. 00 01 0. 00 01 0. 00 00 0. 00 00 0. 00 00 19 2 0. 00 64 0. 00 50 0. 00 40 0. 00 31 0. 00 24 0. 00 18 0. 00 14 0. 00 11 0. 00 08 0. 00 06 0. 00 05 0. 00 03 0. 00 02 0. 00 02 18 3 0. 02 24 0. 01 85 0. 01 52 0. 01 23 0. 01 00 0. 00 80 0. 00 64 0. 00 51 0. 00 40 0. 00 31 0. 00 24 0. 00 19 0. 00 14 0. 00 11 17 4 0. 05 59 0. 04 82 0. 04 12 0. 03 50 0. 02 95 0. 02 47 0. 02 06 0. 01 70 0. 01 39 0. 01 13 0. 00 92 0. 00 74 0. 00 59 0. 00 46 16 5 0. 10 51 0. 09 45 0. 08 43 0. 07 46 0. 06 56 0. 05 73 0. 04 96 0. 04 27 0. 03 65 0. 03 09 0. 02 60 0. 02 17 0. 01 80 0. 01 48 15 6 0. 15 43 0. 14 47 0. 13 47 0. 12 44 0. 11 40 0. 10 37 0. 09 36 0. 08 39 0. 07 46 0. 06 58 0. 05 77 0. 05 01 0. 04 32 0. 03 70 14 7 0. 18 12 0. 17 74 0. 17 22 0. 16 59 0. 15 85 0. 15 02 0. 14 13 0. 13 18 0. 12 21 0. 11 22 0. 10 23 0. 09 25 0. 08 30 0. 07 39 13 8 0. 17 30 0. 17 67 0. 17 90 0. 17 97 0. 17 90 0. 17 68 0. 17 32 0. 16 83 0. 16 23 0. 15 53 0. 14 74 0. 13 88 0. 12 96 0. 12 01 12 9 0. 13 54 0. 14 44 0. 15 26 0. 15 97 0. 16 58 0. 17 07 0. 17 42 0. 17 63 0. 17 71 0. 17 63 0. 17 42 0. 17 08 0. 16 61 0. 16 02 11 10 0. 08 75 0. 09 74 0. 10 73 0. 11 71 0. 12 68 0. 13 59 0. 14 46 0. 15 24 0. 15 93 0. 16 52 0. 17 00 0. 17 34 0. 17 55 0. 17 62 10 11 0. 04 67 0. 05 42 0. 06 24 0. 07 10 0. 08 01 0. 08 95 0. 09 91 0. 10 89 0. 11 85 0. 12 80 0. 13 70 0. 14 55 0. 15 33 0. 16 02 9 12 0. 02 06 0. 02 49 0. 02 99 0. 03 55 0. 04 17 0. 04 86 0. 05 61 0. 06 42 0. 07 27 0. 08 18 0. 09 11 0. 10 07 0. 11 05 0. 12 01 8 13 0. 00 74 0. 00 94 0. 01 18 0. 01 46 0. 01 78 0. 02 17 0. 02 60 0. 03 10 0. 03 66 0. 04 29 0. 04 97 0. 05 72 0. 06 53 0. 07 39 7 14 0. 00 22 0. 00 29 0. 00 38 0. 00 49 0. 00 62 0. 00 78 0. 00 98 0. 01 22 0. 01 50 0. 01 83 0. 02 21 0. 02 64 0. 03 14 0. 03 70 6 15 0. 00 05 0. 00 07 0. 00 10 0. 00 13 0. 00 17 0. 00 23 0. 00 30 0. 00 38 0. 00 49 0. 00 62 0. 00 78 0. 00 98 0. 01 21 0. 01 48 5 16 0. 00 01 0. 00 01 0. 00 02 0. 00 03 0. 00 04 0. 00 05 0. 00 07 0. 00 09 0. 00 13 0. 00 17 0. 00 22 0. 00 28 0. 00 36 0. 00 46 4 17 0. 00 00 0. 00 00 0. 00 00 0. 00 00 0. 00 01 0. 00 01 0. 00 01 0. 00 02 0. 00 02 0. 00 03 0. 00 05 0. 00 06 0. 00 08 0. 00 11 3 18     0. 00 00 0. 00 00 0. 00 00 0. 00 00 0. 00 00 0. 00 00 0. 00 01 0. 00 01 0. 00 01 0. 00 02 2 19           0. 00 00 0. 00 00 0. 00 00 0. 00 00 1 20               0 20 n r 0. 63 0. 62 0. 61 0. 60 0. 59 0. 58 0. 57 0. 56 0. 55 0. 54 0. 53 0. 52 0. 51 0. 50 r n P AT-12 Apéndice tablas  e  e  e  e 0.1 0.90484 2.6 0.07427 5.1 0.00610 7.6 0.00050 0.2 0.81873 2.7 0.06721 5.2 0.00552 7.7 0.00045 0.3 0.74082 2.8 0.06081 5.3 0.00499 7.8 0.00041 0.4 0.67032 2.9 0.05502 5.4 0.00452 7.9 0.00037 0.5 0.60653 3.0 0.04979 5.5 0.00409 8.0 0.00034 0.6 0.54881 3.1 0.04505 5.6 0.00370 8.1 0.00030 0.7 0.49659 3.2 0.04076 5.7 0.00335 8.2 0.00027 0.8 0.44933 3.3 0.03688 5.8 0.00303 8.3 0.00025 0.9 0.40657 3.4 0.03337 5.9 0.00274 8.4 0.00022 1.0 0.36788 3.5 0.03020 6.0 0.00248 8.5 0.00020 1.1 0.33287 3.6 0.02732 6.1 0.00224 8.6 0.00018 1.2 0.30119 3.7 0.02472 6.2 0.00203 8.7 0.00017 1.3 0.27253 3.8 0.02237 6.3 0.00184 8.8 0.00015 1.4 0.24660 3.9 0.02024 6.4 0.00166 8.9 0.00014 1.5 0.22313 4.0 0.01832 6.5 0.00150 9.0 0.00012 1.6 0.20190 4.1 0.01657 6.6 0.00136 9.1 0.00011 1.7 0.18268 4.2 0.01500 6.7 0.00123 9.2 0.00010 1.8 0.16530 4.3 0.01357 6.8 0.00111 9.3 0.00009 1.9 0.14957 4.4 0.01228 6.9 0.00101 9.4 0.00008 2.0 0.13534 4.5 0.01111 7.0 0.00091 9.5 0.00007 2.1 0.12246 4.6 0.01005 7.1 0.00083 9.6 0.00007 2.2 0.11080 4.7 0.00910 7.2 0.00075 9.7 0.00006 2.3 0.10026 4.8 0.00823 7.3 0.00068 9.8 0.00006 2.4 0.09072 4.9 0.00745 7.4 0.00061 9.9 0.00005 2.5 0.08208 5.0 0.00674 7.5 0.00055 10.0 0.00005 Apéndice tabla 4(a) Valores de e para calcular probabilidades de Poisson Apéndice tablas AT-15  X 6.1 6.2 6.3 6.4 6.5 6.6 6.7 6.8 6.9 7.0 0 0.0022 0.0020 0.0018 0.0017 0.0015 0.0014 0.0012 0.0011 0.0010 0.0009 1 0.0137 0.0126 0.0116 0.0106 0.0098 0.0090 0.0082 0.0076 0.0070 0.0064 2 0.0417 0.0390 0.0364 0.0340 0.0318 0.0296 0.0276 0.0258 0.0240 0.0223 3 0.0848 0.0806 0.0765 0.0726 0.0688 0.0652 0.0617 0.0584 0.0552 0.0521 4 0.1294 0.1249 0.1205 0.1162 0.1118 0.1076 0.1034 0.0992 0.0952 0.0912 5 0.1579 0.1549 0.1519 0.1487 0.1454 0.1420 0.1385 0.1349 0.1314 0.1277 6 0.1605 0.1601 0.1595 0.1586 0.1575 0.1562 0.1546 0.1529 0.1511 0.1490 7 0.1399 0.1418 0.1435 0.1450 0.1462 0.1472 0.1480 0.1486 0.1489 0.1490 8 0.1066 0.1099 0.1130 0.1160 0.1188 0.1215 0.1240 0.1263 0.1284 0.1304 9 0.0723 0.0757 0.0791 0.0825 0.0858 0.0891 0.0923 0.0954 0.0985 0.1014 10 0.0441 0.0469 0.0498 0.0528 0.0558 0.0588 0.0618 0.0649 0.0679 0.0710 11 0.0245 0.0265 0.0285 0.0307 0.0330 0.0353 0.0377 0.0401 0.0426 0.0452 12 0.0124 0.0137 0.0150 0.0164 0.0179 0.0194 0.0210 0.0227 0.0245 0.0264 13 0.0058 0.0065 0.0073 0.0081 0.0089 0.0098 0.0108 0.0119 0.0130 0.0142 14 0.0025 0.0029 0.0033 0.0037 0.0041 0.0046 0.0052 0.0058 0.0064 0.0071 15 0.0010 0.0012 0.0014 0.0016 0.0018 0.0020 0.0023 0.0026 0.0029 0.0033 16 0.0004 0.0005 0.0005 0.0006 0.0007 0.0008 0.0010 0.0011 0.0013 0.0014 17 0.0001 0.0002 0.0002 0.0002 0.0003 0.0003 0.0004 0.0004 0.0005 0.0006 18 0.0000 0.0001 0.0001 0.0001 0.0001 0.0001 0.0001 0.0002 0.0002 0.0002 19 0.0000 0.0000 0.0000 0.0000 0.0000 0.0000 0.0000 0.0001 0.0001 0.0001  X 7.1 7.2 7.3 7.4 7.5 7.6 7.7 7.8 7.9 8.0 0 0.0008 0.0007 0.0007 0.0006 0.0006 0.0005 0.0005 0.0004 0.0004 0.0003 1 0.0059 0.0054 0.0049 0.0045 0.0041 0.0038 0.0035 0.0032 0.0029 0.0027 2 0.0208 0.0194 0.0180 0.0167 0.0156 0.0145 0.0134 0.0125 0.0116 0.0107 3 0.0492 0.0464 0.0438 0.0413 0.0389 0.0366 0.0345 0.0324 0.0305 0.0286 4 0.0874 0.0836 0.0799 0.0764 0.0729 0.0696 0.0663 0.0632 0.0602 0.0573 5 0.1241 0.1204 0.1167 0.1130 0.1094 0.1057 0.1021 0.0986 0.0951 0.0916 6 0.1468 0.1445 0.1420 0.1394 0.1367 0.1339 0.1311 0.1282 0.1252 0.1221 7 0.1489 0.1486 0.1481 0.1474 0.1465 0.1454 0.1442 0.1428 0.1413 0.1396 8 0.1321 0.1337 0.1351 0.1363 0.1373 0.1382 0.1388 0.1392 0.1395 0.1396 9 0.1042 0.1070 0.1096 0.1121 0.1144 0.1167 0.1187 0.1207 0.1224 0.1241 10 0.0740 0.0770 0.0800 0.0829 0.0858 0.0887 0.0914 0.0941 0.0967 0.0993 11 0.0478 0.0504 0.0531 0.0558 0.0585 0.0613 0.0640 0.0667 0.0695 0.0722 12 0.0283 0.0303 0.0323 0.0344 0.0366 0.0388 0.0411 0.0434 0.0457 0.0481 13 0.0154 0.0168 0.0181 0.0196 0.0211 0.0227 0.0243 0.0260 0.0278 0.0296 14 0.0078 0.0086 0.0095 0.0104 0.0113 0.0123 0.0134 0.0145 0.0157 0.0169 15 0.0037 0.0041 0.0046 0.0051 0.0057 0.0062 0.0069 0.0075 0.0083 0.0090 16 0.0016 0.0019 0.0021 0.0024 0.0026 0.0030 0.0033 0.0037 0.0041 0.0045 17 0.0007 0.0008 0.0009 0.0010 0.0012 0.0013 0.0015 0.0017 0.0019 0.0021 18 0.0003 0.0003 0.0004 0.0004 0.0005 0.0006 0.0006 0.0007 0.0008 0.0009 19 0.0001 0.0001 0.0001 0.0002 0.0002 0.0002 0.0003 0.0003 0.0003 0.0004 20 0.0000 0.0000 0.0001 0.0001 0.0001 0.0001 0.0001 0.0001 0.0001 0.0002 21 0.0000 0.0000 0.0000 0.0000 0.0000 0.0000 0.0000 0.0000 0.0001 0.0001 AT-16 Apéndice tablas  X 8.1 8.2 8.3 8.4 8.5 8.6 8.7 8.8 8.9 9.0 0 0.0003 0.0003 0.0002 0.0002 0.0002 0.0002 0.0002 0.0002 0.0001 0.0001 1 0.0025 0.0023 0.0021 0.0019 0.0017 0.0016 0.0014 0.0013 0.0012 0.0011 2 0.0100 0.0092 0.0086 0.0079 0.0074 0.0068 0.0063 0.0058 0.0054 0.0050 3 0.0269 0.0252 0.0237 0.0222 0.0208 0.0195 0.0183 0.0171 0.0160 0.0150 4 0.0544 0.0517 0.0491 0.0466 0.0443 0.0420 0.0398 0.0377 0.0357 0.0337 5 0.0882 0.0849 0.0816 0.0784 0.0752 0.0722 0.0692 0.0663 0.0635 0.0607 6 0.1191 0.1160 0.1128 0.1097 0.1066 0.1034 0.1003 0.0972 0.0941 0.0911 7 0.1378 0.1358 0.1338 0.1317 0.1294 0.1271 0.1247 0.1222 0.1197 0.1171 8 0.1395 0.1392 0.1388 0.1382 0.1375 0.1366 0.1356 0.1344 0.1332 0.1318 9 0.1256 0.1269 0.1280 0.1290 0.1299 0.1306 0.1311 0.1315 0.1317 0.1318 10 0.1017 0.1040 0.1063 0.1084 0.1104 0.1123 0.1140 0.1157 0.1172 0.1186 11 0.0749 0.0776 0.0802 0.0828 0.0853 0.0878 0.0902 0.0925 0.0948 0.0970 12 0.0505 0.0530 0.0555 0.0579 0.0604 0.0629 0.0654 0.0679 0.0703 0.0728 13 0.0315 0.0334 0.0354 0.0374 0.0395 0.0416 0.0438 0.0459 0.0481 0.0504 14 0.0182 0.0196 0.0210 0.0225 0.0240 0.0256 0.0272 0.0289 0.0306 0.0324 15 0.0098 0.0107 0.0116 0.0126 0.0136 0.0147 0.0158 0.0169 0.0182 0.0194 16 0.0050 0.0055 0.0060 0.0066 0.0072 0.0079 0.0086 0.0093 0.0101 0.0109 17 0.0024 0.0026 0.0029 0.0033 0.0036 0.0040 0.0044 0.0048 0.0053 0.0058 18 0.0011 0.0012 0.0014 0.0015 0.0017 0.0019 0.0021 0.0024 0.0026 0.0029 19 0.0005 0.0005 0.0006 0.0007 0.0008 0.0009 0.0010 0.0011 0.0012 0.0014 20 0.0002 0.0002 0.0002 0.0003 0.0003 0.0004 0.0004 0.0005 0.0005 0.0006 21 0.0001 0.0001 0.0001 0.0001 0.0001 0.0002 0.0002 0.0002 0.0002 0.0003 22 0.0000 0.0000 0.0000 0.0000 0.0001 0.0001 0.0001 0.0001 0.0001 0.0001  X 9.1 9.2 9.3 9.4 9.5 9.6 9.7 9.8 9.9 10 0 0.0001 0.0001 0.0001 0.0001 0.0001 0.0001 0.0001 0.0001 0.0001 0.0000 1 0.0010 0.0009 0.0009 0.0008 0.0007 0.0007 0.0006 0.0005 0.0005 0.0005 2 0.0046 0.0043 0.0040 0.0037 0.0034 0.0031 0.0029 0.0027 0.0025 0.0023 3 0.0140 0.0131 0.0123 0.0115 0.0107 0.0100 0.0093 0.0087 0.0081 0.0076 4 0.0319 0.0302 0.0285 0.0269 0.0254 0.0240 0.0226 0.0213 0.0201 0.0189 5 0.0581 0.0555 0.0530 0.0506 0.0483 0.0460 0.0439 0.0418 0.0398 0.0378 6 0.0881 0.0851 0.0822 0.0793 0.0764 0.0736 0.0709 0.0682 0.0656 0.0631 7 0.1145 0.1118 0.1091 0.1064 0.1037 0.1010 0.0982 0.0955 0.0928 0.0901 8 0.1302 0.1286 0.1269 0.1251 0.1232 0.1212 0.1191 0.1170 0.1148 0.1126 9 0.1317 0.1315 0.1311 0.1306 0.1300 0.1293 0.1284 0.1274 0.1263 0.1251 10 0.1198 0.1210 0.1219 0.1228 0.1235 0.1241 0.1245 0.1249 0.1250 0.1251 11 0.0991 0.1012 0.1031 0.1049 0.1067 0.1083 0.1098 0.1112 0.1125 0.1137 12 0.0752 0.0776 0.0799 0.0822 0.0844 0.0866 0.0888 0.0908 0.0928 0.0948 13 0.0526 0.0549 0.0572 0.0594 0.0617 0.0640 0.0662 0.0685 0.0707 0.0729 14 0.0342 0.0361 0.0380 0.0399 0.0419 0.0439 0.0459 0.0479 0.0500 0.0521 15 0.0208 0.0221 0.0235 0.0250 0.0265 0.0281 0.0297 0.0313 0.0330 0.0347 16 0.0118 0.0127 0.0137 0.0147 0.0157 0.0168 0.0180 0.0192 0.0204 0.0217 17 0.0063 0.0069 0.0075 0.0081 0.0088 0.0095 0.0103 0.0111 0.0119 0.0128 18 0.0032 0.0035 0.0039 0.0042 0.0046 0.0051 0.0055 0.0060 0.0065 0.0071 19 0.0015 0.0017 0.0019 0.0021 0.0023 0.0026 0.0028 0.0031 0.0034 0.0037 20 0.0007 0.0008 0.0009 0.0010 0.0011 0.0012 0.0014 0.0015 0.0017 0.0019 21 0.0003 0.0003 0.0004 0.0004 0.0005 0.0006 0.0006 0.0007 0.0008 0.0009 22 0.0001 0.0001 0.0002 0.0002 0.0002 0.0002 0.0003 0.0003 0.0004 0.0004 23 0.0000 0.0001 0.0001 0.0001 0.0001 0.0001 0.0001 0.0001 0.0002 0.0002 24 0.0000 0.0000 0.0000 0.0000 0.0000 0.0000 0.0000 0.0001 0.0001 0.0001 Apéndice tablas AT-17  X 11 12 13 14 15 16 17 18 19 20 0 0.0000 0.0000 0.0000 0.0000 0.0000 0.0000 0.0000 0.0000 0.0000 0.0000 1 0.0002 0.0001 0.0000 0.0000 0.0000 0.0000 0.0000 0.0000 0.0000 0.0000 2 0.0010 0.0004 0.0002 0.0001 0.0000 0.0000 0.0000 0.0000 0.0000 0.0000 3 0.0037 0.0018 0.0008 0.0004 0.0002 0.0001 0.0000 0.0000 0.0000 0.0000 4 0.0102 0.0053 0.0027 0.0013 0.0006 0.0003 0.0001 0.0001 0.0000 0.0000 5 0.0224 0.0127 0.0070 0.0037 0.0019 0.0010 0.0005 0.0002 0.0001 0.0001 6 0.0411 0.0255 0.0152 0.0087 0.0048 0.0026 0.0014 0.0007 0.0004 0.0002 7 0.0646 0.0437 0.0281 0.0174 0.0104 0.0060 0.0034 0.0018 0.0010 0.0005 8 0.0888 0.0655 0.0457 0.0304 0.0194 0.0120 0.0072 0.0042 0.0024 0.0013 9 01085 0.0874 0.0661 0.0473 0.0324 0.0213 0.0135 0.0083 0.0050 0.0029 10 0.1194 0.1048 0.0859 0.0663 0.0486 0.0341 0.0230 0.0150 0.0095 0.0058 11 0.1194 0.1144 0.1015 0.0844 0.0663 0.0496 0.0355 0.0245 0.0164 0.0106 12 0.1094 0.1144 0.1099 0.0984 0.0829 0.0661 0.0504 0.0368 0.0259 0.0176 13 0.0926 0.1056 0.1099 0.1060 0.0956 0.0814 0.0658 0.0509 0.0378 0.0271 14 0.0728 0.0905 01021 0.1060 0.1024 0.0930 0.0800 0.0655 0.0514 0.0387 15 0.0534 0.0724 0.0885 0.0989 0.1024 0.0992 0.0906 0.0786 0.0650 0.0516 16 0.0367 0.0543 0.0719 0.0866 0.0960 0.0992 0.0963 0.0884 0.0772 0.0646 17 0.0237 0.0383 0.0550 0.0713 0.0847 0.0934 0.0963 0.0936 0.0863 0.0760 18 0.0145 0.0256 0.0397 0.0554 0.0706 0.0830 0.0909 0.0936 0.0911 0.0844 19 0.0084 0.0161 0.0272 0.0409 0.0557 0.0699 0.0814 0.0887 0.0911 0.0888 20 0.0046 0.0097 0.0177 0.0286 0.0418 0.0559 0.0692 0.0798 0.0866 0.0888 21 0.0024 0.0055 0.0109 0.0191 0.0299 0.0426 0.0560 0.0684 0.0783 0.0846 22 0.0012 0.0030 0.0065 0.0121 0.0204 0.0310 0.0433 0.0560 0.0676 0.0769 23 0.0006 0.0016 0.0037 0.0074 0.0133 0.0216 0.0320 0.0438 0.0559 0.0669 24 0.0003 0.0008 0.0020 0.0043 0.0083 0.0144 0.0226 0.0328 0.0442 0.0557 25 0.0001 0.0004 0.0010 0.0024 0.0050 0.0092 0.0154 0.0237 0.0336 0.0446 26 0.0000 0.0002 0.0005 0.0013 0.0029 0.0057 0.0101 0.0164 0.0246 0.0343 27 0.0000 0.0001 0.0002 0.0007 0.0016 0.0034 0.0063 0.0109 0.0173 0.0254 28 0.0000 0.0000 0.0001 0.0003 0.0009 0.0019 0.0038 0.0070 0.0117 0.0181 29 0.0000 0.0000 0.0001 0.0002 0.0004 0.0011 0.0023 0.0044 0.0077 0.0125 30 0.0000 0.0000 0.0000 0.0001 0.0002 0.0006 0.0013 0.0026 0.0049 0.0083 31 0.0000 0.0000 0.0000 0.0000 0.0001 0.0003 0.0007 0.0015 0.0030 0.0054 32 0.0000 0.0000 0.0000 0.0000 0.0001 0.0001 0.0004 0.0009 0.0018 0.0034 33 0.0000 0.0000 0.0000 0.0000 0.0000 0.0001 0.0002 0.0005 0.0010 0.0020 34 0.0000 0.0000 0.0000 0.0000 0.0000 0.0000 0.0001 0.0002 0.0006 0.0012 35 0.0000 0.0000 0.0000 0.0000 0.0000 0.0000 0.0000 0.0001 0.0003 0.0007 36 0.0000 0.0000 0.0000 0.0000 0.0000 0.0000 0.0000 0.0001 0.0002 0.0004 37 0.0000 0.0000 0.0000 0.0000 0.0000 0.0000 0.0000 0.0000 0.0001 0.0002 38 0.0000 0.0000 0.0000 0.0000 0.0000 0.0000 0.0000 0.0000 0.0000 0.0001 39 0.0000 0.0000 0.0000 0.0000 0.0000 0.0000 0.0000 0.0000 0.0000 0.0001 AT-20 Apéndice tablas A pé nd ic e ta bl a 6( a) *V al or es d e F pa ra d is tr ib uc io ne s F co n 0. 05 d el á re a en e l e xt re m o de re ch o 0. 05 d el ár ea 3. 94 Pa ra e nc on tr ar F pa ra 0. 05 d el á re a ba jo la c ur va ,e n un a di st ri bu ci ón F co n 15 gr ad os d e lib er ta d pa ra e l n um er ad or y 6 gr ad os d e lib er ta d pa ra e l d en om in ad or , bu sq ue e n la c ol um na co rr es po nd ie nt e a 15 g ra do s de li be rt ad en e l n um er ad or y e n el re ng ló n de lo s 6 gr ad os de li be rt ad ;e l v al or ap ro pi ad o F es 3 .9 4. G ra do s de li be rt ad e n el n um er ad or 1 2 3 4 5 6 7 8 9 10 12 15 20 24 30 40 60 12 0 ∞ 1 16 1 20 0 21 6 22 5 23 0 23 4 23 7 23 9 24 1 24 2 24 4 24 6 24 8 24 9 25 0 25 1 25 2 25 3 25 4 2 18 .5 19 .0 19 .2 19 .2 19 .3 19 .3 19 .4 19 .4 19 .4 19 .4 19 .4 19 .4 19 .4 19 .5 19 .5 19 .5 19 .5 19 .5 19 .5 3 10 .1 9. 55 9. 28 9. 12 9. 01 8. 94 8. 89 8. 85 8. 81 8. 79 8. 74 8. 70 8. 66 8. 64 8. 62 85 9 8. 57 85 5 8. 53 4 7. 71 6. 94 6. 59 6. 39 6. 26 6. 16 6. 09 6. 04 6. 00 5. 96 5. 91 5. 86 5. 80 5. 77 5. 75 5. 72 5. 69 5. 66 5. 63 5 6. 61 5. 79 5. 41 5. 19 5. 05 4. 95 4. 88 4. 82 4. 77 4. 74 4. 68 4. 62 4. 56 4. 53 4. 50 4. 46 4. 43 4. 40 4. 37 6 5. 99 5. 14 4. 76 4. 53 4. 39 4. 28 4. 21 4. 15 4. 10 4. 06 4. 00 3. 94 3. 87 3. 84 3. 81 3. 77 3. 74 3. 70 3. 67 7 5. 59 4. 74 4. 35 4. 12 3. 97 3. 87 3. 79 3. 73 3. 68 3. 64 3. 57 3. 51 3. 44 3. 41 3. 38 3. 34 3. 30 3. 27 3. 23 8 5. 32 4. 46 4. 07 3. 84 3. 69 3. 58 3. 50 3. 44 3. 39 3. 35 3. 28 3. 22 3. 15 3. 12 3. 08 3. 04 3. 01 2. 97 2. 93 9 5. 12 4. 26 3. 86 3. 63 3. 48 3. 37 3. 29 3. 23 3. 18 3. 14 3. 07 3. 01 2. 94 2. 90 2. 86 2. 83 2. 79 2. 75 2. 71 10 4. 96 4. 10 3. 71 3. 48 3. 33 3. 22 3. 14 3. 07 3. 02 2. 98 2. 91 2. 85 2. 77 2. 74 2. 70 2. 66 2. 62 2. 58 2. 54 11 4. 84 3. 98 3. 59 3. 36 3. 20 3. 09 3. 01 2. 95 2. 90 2. 85 2. 79 2. 72 2. 65 2. 61 2. 57 2. 53 2. 49 2. 45 2. 40 12 4. 75 3. 89 3. 49 3. 26 3. 11 3. 00 2. 91 2. 85 2. 80 2. 75 2. 69 2. 62 2. 54 2. 51 2. 47 2. 43 2. 38 2. 34 2. 30 13 4. 67 3. 81 3. 41 3. 18 3. 03 2. 92 2. 83 2. 77 2. 71 2. 67 2. 60 2. 53 2. 46 2. 42 2. 38 2. 34 2. 30 2. 25 2. 21 14 4. 60 3. 74 3. 34 3. 11 2. 96 2. 85 2. 76 2. 70 2. 65 2. 60 2. 53 2. 46 2. 39 2. 35 2. 31 2. 27 2. 22 2. 18 2. 13 15 4. 54 3. 68 3. 29 3. 06 2. 90 2. 79 2. 71 2. 64 2. 59 2. 54 2. 48 2. 40 2. 33 2. 29 2. 25 2. 20 2. 16 2. 11 2. 07 16 4. 49 3. 63 3. 24 3. 01 2. 85 2. 74 2. 66 2. 59 2. 54 2. 49 2. 42 2. 35 2. 28 2. 24 2. 19 2. 15 2. 11 2. 06 2. 01 17 4. 45 3. 59 3. 20 2. 96 2. 81 2. 70 2. 61 2. 55 2. 49 2. 45 2. 38 2. 31 2. 23 2. 19 2. 15 2. 10 2. 06 2. 01 1. 96 18 4. 41 3. 55 3. 16 2. 93 2. 77 2. 66 2. 58 2. 51 2. 46 2. 41 2. 34 2. 27 2. 19 2. 15 2. 11 2. 06 20 2 1. 97 1. 92 19 4. 38 3. 52 3. 13 2. 90 2. 74 2. 63 2. 54 2. 48 2. 42 2. 38 2. 31 2. 23 2. 16 2. 11 2. 07 2. 03 1. 98 1. 93 1. 88 20 4. 35 3. 49 3. 10 2. 87 2. 71 2. 60 2. 51 2. 45 2. 39 2. 35 2. 28 2. 20 2. 12 2. 08 2. 04 1. 99 1. 95 1. 90 1. 84 21 4. 32 3. 47 3. 07 2. 84 2. 68 2. 57 2. 49 2. 42 2. 37 2. 32 2. 25 2. 18 2. 10 2. 05 2. 01 1. 96 1. 92 1. 87 1. 81 22 4. 30 3. 44 3. 05 2. 82 2. 66 2. 55 2. 46 2. 40 2. 34 2. 30 2. 23 2. 15 2. 07 2. 03 1. 98 1. 94 1. 89 1. 84 1. 78 23 4. 28 3. 42 3. 03 2. 80 2. 64 2. 53 2. 44 2. 37 2. 32 2. 27 2. 20 2. 13 2. 05 2. 01 1. 96 1. 91 1. 86 1. 81 1. 76 24 4. 26 3. 40 3. 01 2. 78 2. 62 2. 51 2. 42 2. 36 2. 30 2. 25 2. 18 2. 11 2. 03 1. 98 1. 94 1. 89 1. 84 1. 79 17 3 25 4. 24 3. 39 2. 99 2. 76 2. 60 2. 49 2. 40 2. 34 2. 28 2. 24 2. 16 2. 09 2. 01 1. 96 1. 92 1. 87 1. 82 1. 77 1. 71 30 4. 17 3. 32 2. 92 2. 69 2. 53 2. 42 2. 33 2. 27 2. 21 2. 16 2. 09 2. 01 1. 93 1. 89 1. 84 1. 79 1. 74 1. 68 1. 62 40 4. 08 3. 23 2. 84 2. 61 2. 45 2. 34 2. 25 2. 18 2. 12 2. 08 2. 00 1. 92 1. 84 1. 79 17 4 1. 69 1. 64 1. 58 1. 51 60 4. 00 3. 15 2. 76 2. 53 2. 37 2. 25 2. 17 2. 10 2. 04 1. 99 1. 92 1. 84 1. 75 1. 70 1. 65 1. 59 1. 53 1. 47 1. 39 12 0 3. 92 3. 07 2. 68 2. 45 2. 29 2. 18 2. 09 2. 02 1. 96 1. 91 1. 83 1. 75 1. 66 1. 61 1. 55 1. 50 1. 43 1. 35 1. 25 ∞ 3. 84 3. 00 2. 60 2. 37 2. 21 2. 10 2. 01 1. 94 1. 88 1. 83 1. 75 1. 67 1. 57 1. 52 1. 46 1. 39 1. 32 1. 22 1. 00 *T om ad o de M . M er rin gt on y C .M . T ho m ps on , B io m et rik a 33 (1 94 3) . E je m p lo : Grados de libertad en el denominador Apéndice tablas AT-21 *T om ad o de M . M er rin gt on y C .M . T ho m ps on , B io m et rik a 33 (1 94 3) . A pé nd ic e ta bl a 6( b) *V al or es d e F pa ra d is tr ib uc io ne s F co n 0. 01 d el á re a en e l e xt re m o de re ch o 0. 01 d el ár ea 10 .5 Pa ra e nc on tr ar F pa ra 0. 01 d el á re a ba jo la cu rv a, en u na di st ri bu ci ón F co n 7 gr ad os d e lib er ta d en e l nu m er ad or y 5 g ra do s de li be rt ad e n el de no m in ad or ,b us qu e en la c ol um na co rr es po nd ie nt e a 7 gr ad os d e lib er ta d y en el r en gl ón d e lo s 5 gr ad os d e lib er ta d; el va lo r ap ro pi ad o de F es 10 .5 . G ra do s de li be rt ad e n el n um er ad or 1 2 3 4 5 6 7 8 9 10 12 15 20 24 30 40 60 12 0 ∞ 1 4, 05 2 5, 00 0 5, 40 3 5, 62 5 5, 76 4 5, 85 9 5, 92 8 5, 98 2 6, 02 3 6, 05 6 6, 10 6 6, 15 7 6, 20 9 6, 23 5 6, 26 1 6, 28 7 6, 31 3 6, 33 9 6, 36 6 2 98 .5 99 .0 99 .2 99 .2 99 .3 99 .3 99 .4 99 .4 99 .4 99 .4 99 .4 99 .4 99 .4 99 .5 99 .5 99 .5 99 .5 99 .5 99 .5 3 34 .1 30 .8 29 .5 28 .7 28 .2 27 .9 27 .7 27 .5 27 .3 27 .2 27 .1 26 .9 26 .7 26 .6 26 .5 26 .4 26 .3 26 .2 26 .1 4 21 .2 18 .0 16 .7 16 .0 15 .5 15 .2 15 .0 14 .8 14 .7 14 .5 14 .4 14 .2 14 .0 13 .9 13 .8 13 .7 13 .7 13 .6 13 .5 5 16 .3 13 .3 12 .1 11 .4 11 .0 10 .7 10 .5 10 .3 10 .2 10 .1 9. 89 9. 72 9. 55 9. 47 9. 38 9. 29 9. 20 9. 11 9. 02 6 13 .7 10 .9 9. 78 9. 15 8. 75 8. 47 8. 26 8. 10 7. 98 7. 87 7. 72 7. 56 7. 40 7. 31 7. 23 7. 14 7. 06 6. 97 6. 88 7 12 .2 9. 55 8. 45 7. 85 7. 46 7. 19 6. 99 6. 84 6. 72 6. 62 6. 47 6. 31 6. 16 6. 07 5. 99 5. 91 5. 82 5. 74 5. 65 8 11 .3 8. 65 7. 59 7. 01 6. 63 6. 37 6. 18 6. 03 5. 91 5. 81 5. 67 5. 52 5. 36 5. 28 5. 20 5. 12 5. 03 4. 95 4. 86 9 10 .6 8. 02 6. 99 6. 42 6. 06 5. 80 5. 61 5. 47 5. 35 5. 26 5. 11 4. 96 4. 81 4. 73 4. 65 4. 57 4. 48 4. 40 4. 31 10 10 .0 7. 56 6. 55 5. 99 5. 64 5. 39 5. 20 5. 06 4. 94 4. 85 4. 71 4. 56 4. 41 4. 33 4. 25 4. 17 4. 08 4. 00 3. 91 11 9. 65 7. 21 6. 22 5. 67 5. 32 5. 07 4. 89 4. 74 4. 63 4. 54 4. 40 4. 25 4. 10 4. 02 3. 94 3. 86 3. 78 3. 69 3. 60 12 9. 33 6. 93 5. 95 5. 41 5. 06 4. 82 4. 64 4. 50 4. 39 4. 30 4. 16 4. 01 3. 86 3. 78 3. 70 3. 62 3. 54 3. 45 3. 36 13 9. 07 6. 70 5. 74 5. 21 4. 86 4. 62 4. 44 4. 30 4. 19 4. 10 3. 96 3. 82 3. 66 3. 59 3. 51 3. 43 3. 34 3. 25 3. 17 14 8. 86 6. 51 5. 56 5. 04 4. 70 4. 46 4. 28 4. 14 4. 03 3. 94 3. 80 3. 66 3. 51 3. 43 3. 35 3. 27 3. 18 3. 09 3. 00 15 8. 68 6. 36 5. 42 4. 89 4. 56 4. 32 4. 14 4. 00 3. 89 3. 80 3. 67 3. 52 3. 37 3. 29 3. 21 3. 13 3. 05 2. 96 2. 87 16 8. 53 6. 23 5. 29 4. 77 4. 44 4. 20 4. 03 3. 89 3. 78 3. 69 3. 55 3. 41 3. 26 3. 18 3. 10 3. 02 2. 93 2. 84 2. 75 17 8. 40 6. 11 5. 19 4. 67 4. 34 4. 10 3. 93 3. 79 3. 68 3. 59 3. 46 3. 31 3. 16 3. 08 3. 00 2. 92 2. 83 2. 75 2. 65 18 8. 29 6. 01 5. 09 4. 58 4. 25 4. 01 3. 84 3. 71 3. 60 3. 51 3. 37 3. 23 3. 08 3. 00 2. 92 2. 84 2. 75 2. 66 2. 57 19 8. 19 5. 93 5. 01 4. 50 4. 17 3. 94 3. 77 3. 63 3. 52 3. 43 3. 30 3. 15 3. 00 2. 92 2. 84 2. 76 2. 67 2. 58 2. 49 20 8. 10 5. 85 4. 94 4. 43 4. 10 3. 87 3. 70 3. 56 3. 46 3. 37 3. 23 3. 09 2. 94 2. 86 2. 78 2. 69 2. 61 2. 52 2. 42 21 8. 02 5. 78 4. 87 4. 37 4. 04 3. 81 3. 64 3. 51 3. 40 3. 31 3. 17 3. 03 2. 88 2. 80 2. 72 2. 64 2. 55 2. 46 2. 36 22 7. 95 5. 72 4. 82 4. 31 3. 99 3. 76 3. 59 3. 45 3. 35 3. 26 3. 12 2. 98 2. 83 2. 75 2. 67 2. 58 2. 50 2. 40 2. 31 23 7. 88 5. 66 4. 76 4. 26 3. 94 3. 71 3. 54 3. 41 3. 30 3. 21 3. 07 2. 93 2. 78 2. 70 2. 62 2. 54 2. 45 2. 35 2. 26 24 7. 82 5. 61 4. 72 4. 22 3. 90 3. 67 3. 50 3. 36 3. 26 3. 17 3. 03 2. 89 2. 74 2. 66 2. 58 2. 49 2. 40 2. 31 2. 21 25 7. 77 5. 57 4. 68 4. 18 3. 86 3. 63 3. 46 3. 32 3. 22 3. 13 2. 99 2. 85 2. 70 2. 62 2. 53 2. 45 2. 36 2. 27 2. 17 30 7. 56 5. 39 4. 51 4. 02 3. 70 3. 47 3. 30 3. 17 3. 07 2. 98 2. 84 2. 70 2. 55 2. 47 2. 39 2. 30 2. 21 2. 11 2. 01 40 7. 31 5. 18 4. 31 3. 83 3. 51 3. 29 3. 12 2. 99 2. 89 2. 80 2. 66 2. 52 2. 37 2. 29 2. 20 2. 11 2. 02 1. 92 1. 80 60 7. 08 4. 98 4. 13 3. 65 3. 34 3. 12 2. 95 2. 82 2. 72 2. 63 2. 50 2. 35 2. 20 2. 12 2. 03 1. 94 1. 84 1. 73 1. 60 12 0 6. 85 4. 79 3. 95 3. 48 3. 17 2. 96 2. 79 2. 66 2. 56 2. 47 2. 34 2. 19 2. 03 1. 95 1. 86 1. 76 1. 66 1. 53 1. 38 ∞ 6. 63 4. 61 3. 78 3. 32 3. 02 2. 80 2. 64 2. 51 2. 41 2. 32 2. 18 2. 04 1. 88 1. 79 1. 70 1. 59 1. 47 1. 32 1. 00 E je m p lo : Grados de libertad en el denominador AT-22 Apéndice tablas Apéndice tabla 7 *Valores para la correlación de rango de Spearman (rs) para áreas combinadas en las dos colas. 0.10 del área 0.10 del área 0.3986 0.3986 (n  tamaño de la muestra  12) Para una prueba de dos colas al nivel de significancia de 0.20, con n  12, el valor apropiado rs se puede: encontrar rs buscando en la columna 0.20 y en el renglón correspondiente. a 12; el valor apropiado de rs es 0.3986. Ejemplo: n 0.20 0.10 0.05 0.02 0.01 0.002 4 0.8000 0.8000 5 0.7000 0.8000 0.9000 0.9000 6 0.6000 0.7714 0.8286 0.8857 0.9429 7 0.5357 0.6786 0.7450 0.8571 0.8929 0.9643 8 0.5000 0.6190 0.7143 0.8095 0.8571 0.9286 9 0.4667 0.5833 0.6833 0.7667 0.8167 0.9000 10 0.4424 0.5515 0.6364 0.7333 0.7818 0.8667 11 0.4182 0.5273 0.6091 0.7000 0.7455 0.8364 12 0.3986 0.4965 0.5804 0.6713 0.7273 0.8182 13 0.3791 0.4780 0.5549 0.6429 0.6978 0.7912 14 0.3626 0.4593 0.5341 0.6220 0.6747 0.7670 15 0.3500 0.4429 0.5179 0.6000 0.6536 0.7464 16 0.3382 0.4265 0.5000 0.5824 0.6324 0.7265 17 0.3260 0.4118 0.4853 0.5637 0.6152 0.7083 18 0.3148 0.3994 0.4716 0.5480 0.5975 0.6904 19 0.3070 0.3895 0.4579 0.5333 0.5825 0.6737 20 0.2977 0.3789 0.4451 0.5203 0.5684 0.6586 21 0.2909 0.3688 0.4351 0.5078 0.5545 0.6455 22 0.2829 0.3597 0.4241 0.4963 0.5426 0.6318 23 0.2767 0.3518 0.4150 0.4852 0.5306 0.6186 24 0.2704 0.3435 0.4061 0.4748 0.5200 0.6070 25 0.2646 0.3362 0.3977 0.4654 0.5100 0.5962 26 0.2588 0.3299 0.3894 0.4564 0.5002 0.5856 27 0.2540 0.3236 0.3822 0.4481 0.4915 0.5757 28 0.2490 0.3175 0.3749 0.4401 0.4828 0.5660 29 0.2443 0.3113 0.3685 0.4320 0.4744 0.5567 30 0.2400 0.3059 0.3620 0.4251 0.4665 0.5479 *Tomado de W.J. Conover, Practical Nonparametric Statistics, John Wiley & Sons., Inc., Nueva York, 1971.