Biblioteczka Opracowań Matematycznych
Tablica 2
Wybrane wartości krytyczne rozkładu chi-kwadrat p(x„ > xa)
a n |
0,001 0,01 0j02 005 0,1 0,2.......000 005 008 009 |
i |
10,8276 6,6349 5,4119 3,8415 2,7055 1,6424 0,0158 0,0039 0,0006 0,0002 |
2 |
13,8155 9,2103 7,8240 5,9915 4,6052 3,2189 0,2107 0,1026 0,0404 0,0201 |
3 |
16,2662 11,3449 9,8374 7,8147 6,2514 4,6416 0,5844 0,3518 0,1848 0,1148 |
4 |
18,4668 13,2767 11,6678 9,4877 7,7794 5,9886 1,0636 0,7107 0,4294 0,2971 |
5 |
20,5150 15,0863 13,3882 11,0705 9,2364 7,2893 1,6103 1,1455 0,7519 0,5543 |
6 |
22,4577 16,8119 15,0332 12,5916 10,6446 8,5581 2,2041 1,6354 1,1344 0,8721 |
7 |
24,3219 18,4753 16,6224 14,0671 12,0170 9,8032 2,8331 2,1673 1,5643 1,2390 |
8 |
26,1245 20,0902 18,1682 15,5073 13,3616 11,0301 3,4895 2,7326 2,0325 1,6465 |
9 |
27,8772 21,6660 19,6790 16,9190 14,6837 12,2421 4,1682 3,3251 2,5324 2,0879 |
10 |
29,5883 23,2093 21,1608 18,3070 15,9872 1 3,4420 4,865 2 3,9403 3,0591 2,5582 |
11 |
31,2641 24,7250 22,6179 19,6751 17,2750 14,6314 5,5778 4,5748 3,6087 3,0535 |
12 |
32,9095 26^170 24,0540 21,0261 18,5493 15,8120 6,3038 5,2260 4,1783 3,5706 |
13 |
34,5282 27,6883 25,4715 22,3620 19,8119 16,9848 7,0415 5,8919 4,7654 4,1069 |
14 |
36,1233 29,1412 26,87 28 23,6848 21,0641 18,1508 7,7895 6,5706 5,3682 4,6604 |
15 |
37,6973 30,5779 28,2595 24,9958 22,3071 19,3107 8,5468 7,2609 5,9849 5,2293 |
16 |
39,2524 31,9999 29,6332 26,2962 23,5418 20,4651 9,3122 7,9616 6,6142 5,8122 |
17 |
40,7902 33,4087 30,9950 27,5871 24,7690 21,6146 10,0852 8,6718 7,2550 6,4078 |
18 |
42,3124 34,8053 32,3462 28,8693 25,9894 22,7595 10,8649 9,3905 7,9062 7,0149 |
19 |
43,8202 36,1909 33,6874 30,1435 27,2036 23,9004 11,6509 10,1170 8,5670 7,6327 |
20 |
45,3147 37,5662 35,0196 31,4104 28,4120 25,0375 12,4426 10,8508 9,2367 8,2604 |
21 |
46,7970 38,9322 36,3434 32,6706 29,6151 26,1711 13,2396 11,5913 9,9146 8,8972 |
22 |
48,2679 40,2894 37,6595 33,9244 30,8133 27,3015 14,0415 12,3380 10,6000 9,5425 |
23 |
49,7282 41,6384 38,9683 35,1725 32,0069 28,4288 14,8480 13,0905 11,2926 10,1957 |
24 |
51,1786 42,9798 40,2704 36,4150 33,1962 29,5533 15,6587 13,8484 11,9918 10,8564 |
25 |
52,6197 44,3141 41,5661 37,6525 34,3816 30,6752 16,4734 14,6114 12,6973 11,5240 |
26 |
54,0520 45,6417 42,8558 38,8851 35,5632 31,7946 17,2919 15,3792 13,4086 12,1981 |
27 |
55,4760 46,9629 44,1400 40,1133 36,7412 32,9117 18,1139 16,1514 14,1254 12,8785 |
28 |
56,8923 48,2782 45,4188 41,3371 37,9159 34,0266 18,9392 16,9279 14,8475 13,5647 |
29 |
58,3012 49,5879 46,6927 42,5570 39,0875 35,1394 19,7677 17,7084 15,5745 14,2565 |
30 |
59,7031 50,8922 47,9618 43,7730 40,2560 36,2502 20,5992 18,4927 16,3062 14,9535 |
Tablica 3.
Wartości krytyczne rozkładu t-Studenta >/„)
a
n
1
2
3
4
5
6
7
8
9
10 11 12
13
14
15
16
17
18
19
20 21 22
23
24
25
26
27
28
29
30
05 0,8 0,7 OjS 03 0,4 03 03 0,1 0j05 0j02 OjOl OjOOl
0,1584 0,3249 0,5095 0,7265 1,0000 1,3764 1,9626 3,0777 6,3138 0,1421 0,2887 0,4447 0,6172 0,8165 1,0607 1,3862 1,8856 2,9200 0,1366 0,2767 0,4242 0,5844 0,7649 0,9785 1,2498 1,6377 2,3534 0,1338 0,2707 0,4142 0,5686 0,7407 0,9410 1,1896 1,5332 2,1318 0,133 2 0,267 2 0,40 8 2 0,55 9 4 0,7267 0,9195 1,1558 1,47 5 9 2,0150 0,1311 0,2648 0,40430,55340,7176 0,9057 1,1342 1,4398 1,9432 0,1303 0,2632 0,40150,5491 0,7111 0,8960 1,1192 1,4149 1,8946 0,1297 0,2619 0,3995 0,5459 0,7064 0,8889 1,1081 1,3968 1,8595 0,1293 0,2610 0,3979 0,5435 0,7027 0,8834 1,0997 1,3830 1,8331 0,1289 0,2602 0,3966 0,5415 0,6998 0,8791 1,0931 1,3722 1,8125 0,1286 0,2596 0,3956 0,5399 0,6974 0,8755 1,0877 1,3634 1,7959 0,1283 0,2590 0,3947 0,5386 0,6955 0,8726 1,0832 1,3562 1,7823 0,1281 0,2586 0,3940 0,5375 0,6938 0,8702 1,0795 1,3502 1,7709 0,1280 0,2582 0,3933 0,536 6 0,6924 0,8681 1,0763 1,3450 1,7613 0,1278 0,2579 0,3928 0,5357 0,6912 0,8662 1,0735 1,3406 1,7531 0,127 7 0,257 6 0,39 2 3 0,5350 0,690 1 0,86 47 1,0711 1,3368 1,7459 0,1276 0,2573 0,3919 0,5344 0,6892 0,8633 1,0690 1,3334 1,7396 0,127 4 0,257 1 0,39 1 5 0,53 3 8 0,688 4 0,86 20 1,06 7 2 1,330 4 1,7341 0,1274 0,2569 0,3912 0,5333 0,6876 0,8610 1,0655 1,3277 1,7291 0,1273 0,2567 0,3909 0,5329 0,6870 0,8600 1,0640 1,3253 1,7247 0,1272 0,2566 0,3906 0,5325 0,6864 0,8591 1,0627 1,3232 1,7207 0,1271 0,256 4 0,3904 0,5321 0,6858 0,8583 1,0614 1,3212 1,7171 0,1271 0,2563 0,3902 0,5317 0,6853 0,8575 1,0603 1,3195 1,7139 0,1270 0,2562 0,3900 0,5314 0,6848 0,8569 1,0593 1,3178 1,7109 0,1269 0,2561 0,3898 0,5312 0,6844 0,8562 1,0584 1,3163 1,7081 0,1269 0,2560 0,3896 0,5309 0,6840 0,8557 1,0575 1,3150 1,7056 0,1268 0,2559 0,3894 0,5306 0,6837 0,8551 1,0567 1,3137 1,7033 0,1268 0,2558 0,389 3 0,530 4 0,683 4 0,8546 1,0560 1,3125 1,7011 0,1268 0,2557 0,3892 0,5302 0,6830 0,8542 1,0553 1,3114 1,6991 0,1267 0,2556 0,3890 0,5300 0,6828 0,8538 1,0547 1,3104 1,6973
12 7062 31,8205 4,3027 6,9646 3,1824 4,5407 2,7 7 64 3,7469 2,5706 3,3649 2,4469 3,1427 2,36 46 2,9980 2,30 60 2,8965 2,2622 2,8214 2,2281 2,7638 2,2010 2,7181 2,1788 2,6810 2,1604 2,6503 2,1448 2,6245 2,1314 2,6025 2,1199 2,5835 2,1098 2,5669 2,1009 2,5524 2,09 30 2,5395 2,0860 2,5280 2,0796 2,5176 2,0739 2,5083 2,0687 2,4999 2,0639 2,4922 2,0595 2,4851 2,0555 2,4786 2,0518 2,4727 2,0484 2,4671 2,0452 2,4620 2,0423 2,4573
63,6567 636,6 1 92 9,9248 31,5991 5,8409 12,9240 4,6041 8,6103 4,0321 6,8688 3,7074 5,9588 3,499 5 5,4079
3,35 5 4 5,0413
3,2498 4,7809 3,1693 4,5869 3,1058 4,4370 3,0545 4,3178 3,0123 4,2208 2,9768 4,1405 2,9467 4,0728 2,920 8 4,0150 2,8982 3,9651 2,8784 3,9216 2,8609 3,8834 2,8453 3,8495 2,8314 3,8193 2,8188 3,7921 2,8073 3,7676 2,79 6 9 3,7454 2,7874 3,7251 2,7787 3,7066 2,7707 3,6896 2,7633 3,6739 2,7564 3,6594 2,7500 3,6460
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