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Tablas t y Ji.pdf
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Tablas t y Ji.pdf
1.
Tabla de la
distribución t de student FT (tγ ) = P(T ≤ tγ ) = γ gl. t 9 , 0 t 95 , 0 t 975 , 0 t 99 , 0 t 995 , 0 t 999 , 0 t 9995 , 0 1 3,0777 6,3137 12,7062 31,8210 63,6559 318,2888 636,5776 2 1,8856 2,9200 4,3027 6,9645 9,9250 22,3285 31,5998 3 1,6377 2,3534 3,1824 4,5407 5,8408 10,2143 12,9244 4 1,5332 2,1318 2,7765 3,7469 4,6041 7,1729 8,6101 5 1,4759 2,0150 2,5706 3,3649 4,0321 5,8935 6,8685 6 1,4398 1,9432 2,4469 3,1427 3,7074 5,2075 5,9587 7 1,4149 1,8946 2,3646 2,9979 3,4995 4,7853 5,4081 8 1,3968 1,8595 2,3060 2,8965 3,3554 4,5008 5,0414 9 1,3830 1,8331 2,2622 2,8214 3,2498 4,2969 4,7809 10 1,3722 1,8125 2,2281 2,7638 3,1693 4,1437 4,5868 11 1,3634 1,7959 2,2010 2,7181 3,1058 4,0248 4,4369 12 1,3562 1,7823 2,1788 2,6810 3,0545 3,9296 4,3178 13 1,3502 1,7709 2,1604 2,6503 3,0123 3,8520 4,2209 14 1,3450 1,7613 2,1448 2,6245 2,9768 3,7874 4,1403 15 1,3406 1,7531 2,1315 2,6025 2,9467 3,7329 4,0728 16 1,3368 1,7459 2,1199 2,5835 2,9208 3,6861 4,0149 17 1,3334 1,7396 2,1098 2,5669 2,8982 3,6458 3,9651 18 1,3304 1,7341 2,1009 2,5524 2,8784 3,6105 3,9217 19 1,3277 1,7291 2,0930 2,5395 2,8609 3,5793 3,8833 20 1,3253 1,7247 2,0860 2,5280 2,8453 3,5518 3,8496 21 1,3232 1,7207 2,0796 2,5176 2,8314 3,5271 3,8193 22 1,3212 1,7171 2,0739 2,5083 2,8188 3,5050 3,7922 23 1,3195 1,7139 2,0687 2,4999 2,8073 3,4850 3,7676 24 1,3178 1,7109 2,0639 2,4922 2,7970 3,4668 3,7454 25 1,3163 1,7081 2,0595 2,4851 2,7874 3,4502 3,7251 26 1,3150 1,7056 2,0555 2,4786 2,7787 3,4350 3,7067 27 1,3137 1,7033 2,0518 2,4727 2,7707 3,4210 3,6895 28 1,3125 1,7011 2,0484 2,4671 2,7633 3,4082 3,6739 29 1,3114 1,6991 2,0452 2,4620 2,7564 3,3963 3,6595 30 1,3104 1,6973 2,0423 2,4573 2,7500 3,3852 3,6460 35 1,3062 1,6896 2,0301 2,4377 2,7238 3,3400 3,5911 40 1,3031 1,6839 2,0211 2,4233 2,7045 3,3069 3,5510 45 1,3007 1,6794 2,0141 2,4121 2,6896 3,2815 3,5203 50 1,2987 1,6759 2,0086 2,4033 2,6778 3,2614 3,4960 55 1,2971 1,6730 2,0040 2,3961 2,6682 3,2451 3,4765 60 1,2958 1,6706 2,0003 2,3901 2,6603 3,2317 3,4602 65 1,2947 1,6686 1,9971 2,3851 2,6536 3,2204 3,4466 70 1,2938 1,6669 1,9944 2,3808 2,6479 3,2108 3,4350 75 1,2929 1,6654 1,9921 2,3771 2,6430 3,2024 3,4249 80 1,2922 1,6641 1,9901 2,3739 2,6387 3,1952 3,4164 85 1,2916 1,6630 1,9883 2,3710 2,6349 3,1889 3,4086 90 1,2910 1,6620 1,9867 2,3685 2,6316 3,1832 3,4019 95 1,2905 1,6611 1,9852 2,3662 2,6286 3,1783 3,3958 100 1,2901 1,6602 1,9840 2,3642 2,6259 3,1738 3,3905 105 1,2897 1,6595 1,9828 2,3624 2,6235 3,1697 3,3856 110 1,2893 1,6588 1,9818 2,3607 2,6213 3,1660 3,3811 115 1,2890 1,6582 1,9808 2,3592 2,6193 3,1626 3,3772 120 1,2886 1,6576 1,9799 2,3578 2,6174 3,1595 3,3734 ∞ 1,2816 1,6448 1,9600 2,3264 2,5758 3,0902 3,2905
2.
Tabla de la
distribución Ji cuadrado F 2 χ ( 2 γ χ ) = P( 2 2 γ χ χ ≤ ) = γ g.l. 2 005 , 0 χ 2 01 , 0 χ 2 025 , 0 χ 2 05 , 0 χ 2 1 , 0 χ 2 9 , 0 χ 2 95 , 0 χ 2 975 , 0 χ 2 99 , 0 χ 2 995 , 0 χ 1 0,0000 0,0002 0,0010 0,0039 0,0158 2,7055 3,8415 5,0239 6,6349 7,8794 2 0,0100 0,0201 0,0506 0,1026 0,2107 4,6052 5,9915 7,3777 9,2103 10,5967 3 0,0717 0,1148 0,2158 0,3518 0,5844 6,2514 7,8147 9,3484 11,3448 12,8383 4 0,2070 0,2971 0,4844 0,7107 1,0636 7,7794 9,4877 11,1433 13,2767 14,8601 5 0,4117 0,5543 0,8312 1,1455 1,6103 9,2364 11,0705 12,8325 15,0863 16,7495 6 0,6757 0,8721 1,2373 1,6354 2,2041 10,6446 12,5916 14,4494 16,8118 18,5476 7 0,9892 1,2390 1,6899 2,1674 2,8331 12,0170 14,0672 16,0128 18,4753 20,2778 8 1,3444 1,6465 2,1797 2,7326 3,4895 13,3616 15,5073 17,5345 20,0902 21,9551 9 1,7350 2,0879 2,7004 3,3251 4,1682 14,6837 16,9190 19,0228 21,6661 23,5892 10 2,1559 2,5582 3,2470 3,9403 4,8652 15,9872 18,3070 20,4832 23,2093 25,1882 11 2,6032 3,0535 3,8157 4,5748 5,5778 17,2750 19,6751 21,9201 24,7250 26,7569 12 3,0738 3,5706 4,4038 5.2260 6,3038 18,5493 21,0261 23,3367 26,2170 28,2994 13 3,5651 4,1069 5,0088 5,8919 7,0415 19,8119 22,3620 24,7356 27,6882 29,8195 14 4,0747 4,6604 5,6287 6,5706 7,7895 21,0642 23,6848 26,1189 29,1412 31,3192 15 4,6009 5,2294 6,2621 7,2610 8,5468 22,3071 24,9958 27,4884 30,5779 32,8012 16 5,1422 5,8122 6,9076 7,9616 9,3122 23,5418 26,2962 28,8454 32,0000 34,2671 17 5,6972 6,4078 7,5642 8,6718 10,0852 24,7690 27,5871 30,1910 33,4086 35,7185 18 6,2647 7,0149 8,2307 9,3905 10,8649 25,9894 28,8693 31,5264 34,8053 37,1563 19 6,8439 7,6327 8,9065 10,1170 11,6509 27,2036 30,1435 32,8523 36,1909 38,5824 20 7,4338 8,2604 9,5908 10,8508 12,4426 28,4120 31,4105 34,1696 37,5662 39,9968 21 8,0337 8,8972 10,2829 11,5913 13,2396 29,6151 32,6706 35,4789 38,9322 41,4011 22 8,6427 9,5425 10,9823 12,3380 14,0415 30,8133 33,9244 36,7807 40,2893 42,7957 23 9,2604 10,1957 11,6885 13,0905 14,8480 32,0069 35,1725 38,0757 41,6384 44,1814 24 9,8863 10,8564 12,4011 13,8484 15,6587 33,1962 36,4150 39,3641 42,9798 45,5586 25 10,5196 11,5240 13,1197 14.6114 16,4734 34,3816 37,6525 40,6465 44,3141 46,9279 26 11,1602 12,1981 13,8439 15,3792 17,2919 35,5632 38,8851 41,9232 45,6418 48,2899 27 11,8076 12,8785 14,5734 16,1514 18,1139 36,7412 40,1133 43,1945 46,9630 49,6447 28 12,4614 13,5647 15,3079 16,9279 18,9392 37,9159 41,3371 44,4608 48,2783 50,9934 29 13,1212 14,2564 16,0471 17,7084 19,7677 39,0875 42,5570 45.7223 49,5880 52,3357 30 13,7868 14.9534 16,7908 18,4926 20,5992 40,2560 43,7730 46,9793 50,8921 53,6721 35 17,1919 18,5089 20,5694 22.4650 24,7966 46,0588 49,8018 53,2034 57,3421 60,2746 40 20,7065 22,1643 24,4330 26,5093 29,0505 51,8051 55,7585 59,3417 63,6908 66,7659 45 24,3110 25,9012 28,3661 30,6122 33,3504 57,5053 61,6562 65,4101 69,9569 73,1659 50 27,9908 29,7067 32,3573 34,7642 37,6887 63,1671 67,5048 71,4202 76,1540 79,4901 55 31,7348 33,5704 36,3981 38,9580 42,0596 68,7962 73,3115 77,3805 82,2922 85,7492 60 35,5346 37,4849 40,4818 43,1880 46,4589 74,3970 79,0819 83,2976 88,3793 91,9518 65 39,3833 41,4436 44,6030 47,4496 50,8830 79,9730 84,8206 89,1772 94,4221 98,1049 70 43.2751 45,4417 48,7576 51,7393 55,3289 85,5271 90,5312 95,0231 100,4251 104,2150 75 47,2061 49,4751 52,9419 56,0541 59,7945 91,0614 96,2167 100,8394 106,3928 110,2855 80 51,1721 53,5400 57,1532 60,3915 64,2778 96,5782 101,8795 106,6286 112,3289 116,3210 85 55,1698 57,6340 61,3888 64,7494 68,7772 102,0789 107,5218 112,3933 118,2358 122,3246 90 59,1963 61,7540 65,6466 69,1260 73,2911 107,5650 113,1453 118,1359 124,1162 128,2990 95 63,2496 65,8983 69,9249 73,5198 77,8184 113,0377 118,7516 123,8580 129,9728 134.2467 100 67,3276 70,0649 74,2219 77,9294 82.3581 118,4980 124,3421 129,5612 135,8066 140,1693 105 71,4284 74,2520 78,5364 82,3537 86,9093 123,9469 129,9180 135,2470 141,6201 146,0698 110 75,5501 78,4584 82,8670 86,7916 91.4710 129,3852 135,4802 140,9165 147,4144 151,9488 115 79,6915 82,6825 87,2128 91,2422 96,0427 134,8135 141,0297 146,5710 153,1906 157,8080 120 83,8516 86,9232 91,5726 95,7047 100,6237 140,2326 146,5673 152.21Í4 158,9500 163,6485
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