S TA T I S T I Č K E
TA BLICE
Stranica TABLICA 1
Logaritmi faktorijela
2
TABLICA 2
Binomni koeficijenti
3
TABLICA 3
Ordinate jedini čne normalne razdiobe
4
TABLICA 4
Površine ispod normalne krivulje
5
TABLICA 5
Vrijednosti
2
i pripadne vrijednosti P( 2) za stupnjeve slobode
6
k = 1, 2, 3, …, 30 TABLICA 6
Vrijednosti t za Studentovu razdiobu, uz vjerojatnosti Q(t) i
7
stupnjeve slobode k = 1, 2, 3, …, 30 8-9
TABLICA 7
Vjerojatnosti pri binomnoj razdiobi
TABLICA 8
Vjerojatnosti pri Poissonovoj razdiobi
10
TABLICA 9
Kritične vrijednosti koeficijenta korelacije ranga
11
TABLICA 1: Logaritmi faktorijela n 00 10 20 30 40 50 60 70 80 90 100 110 120 130 140 150 160 170 180 190 200 210 220 230 240 250 260 270 280 290 300 310 320 330 340 350 360 370 380 390 400 410 420 430 440 450 460 470 480 490 500 510 520 530 540 550 560 570 580 590 600 610 620 630 640 650 660 670 680
0 0,0000 6,5598 18,3861 32,4237 47,9116 64,4831 81,9202 100,0784 118,8547 138,1719 157,9700 178,2009 198,8254 219,8107 241,1291 262,7569 284,6735 306,8608 329,3030 351,9859 374,8969 398,0246 421,3587 444,8898 468,6094 492,5096 516,5832 540,8236 565,2246 589,7804 614,4858 639,3357 664,3255 689,4509 714,7076 740,0920 765,6002 791,2290 816,9749 842,8351 868,8064 894,8862 921,0718 947,3607 973,7505 1000,2389 1026,8227 1053,5028 1080,2742 1107,1360 1134,0864 1161,1236 1188,2458 1215,4514 1242,7390 1270,1069 1297,5536 1325,0779 1352,6783 1380,3535 1408,1023 1435,9234 1463,8156 1491,7778 1519,8090 1547,9079 1576,0736 1604,,3050 1632,6012
1 0,0000 7,6012 19,7083 33,9150 49,5244 66,1906 83,7055 101,9297 120,7632 140,1310 159,9743 180,2462 200,9082 221,9280 243,2783 264,9359 286,8803 309,0938 331,5606 354,2669 377,2001 400,3489 423,7031 447,2533 470,9914 494,9093 518,9999 543,2566 567,6733 592,2443 616,9644 641,8285 666,8320 691,9707 717,2404 742,6373 768,1577 793,7983 819,5559 845,4272 871,4096 897,5001 923,6961 949,9952 976,3949 1002,8931 1029,4874 1056,1758 1082,9564 1109,8271 1136,7862 1163,8320 1190,9626 1218,1765 1245,4722 1272,8480 1300,3026 1327,8345 1355,4425 1283,1251 1410,8812 1438,7094 1466,6087 1494,5779 1522,6158 1550,7215 578,8938 1607,1317 1635,4344
2
3
4
5
6
7
0,3010 8,6803 21,0508 35,4202 51,1477 67,9066 85,4979 103,7870 122,6770 142,0948 161,9829 182,2955 202,9945 224,0485 245,4306 267,1177 289,0898 311,3293 333,8207 356,5502 379,5054 402,6752 426,0494 449,6189 473,3752 497,3107 521,4182 545,6912 570,1235 594,7097 919,4444 644,3226 669,3399 694,4918 719,7744 745,1838 770,7164 796,3689 822,1379 848,0205 874,0138 900,1150 926,3214 952,6307 979,0404 1005,5482 1032,1520 1058,8498 1085,6394 1112,5191 1139,4869 1166,5412 1193,6803 1220,9023 1248,2062 1275,5899 1303,0523 1330,5919 1358,2074 1385,8974 1413,6608 1441,4962 1469,4025 1497,3786 1525,4233 1553,5357 1581,7146 1609,9591 1638,2681
0,7782 9,7943 22,4125 36,9387 52,7811 69,6309 87,2972 105,6503 124,5961 144,0632 163,9829 184,3485 205,0844 226,1724 247,5860 269,3024 291,3020 313,5674 336,0832 358,8358 381,8129 405,0036 428,3977 451,9862 475,7608 499,7138 523,8381 548,1273 572,5753 597,1766 621,9258 646,8182 671,8491 697,0143 722,3097 747,7316 773,2764 798,9406 824,7211 850,6149 876,6191 902,7309 928,9478 955,2672 981,6868 1008,2043 1034,8176 1061,5246 1088,3234 1115,2119 1142,1885 1169,2514 1196,3988 1223,6292 1250,9410 1278,3327 1305,8028 1333,3501 1360,9731 1388,6705 1416,4411 1444,2836 1472,1970 1500,1800 1528,2316 1556,3506 1584,5361 1612,7871 1641,1026
1,3802 10,9404 23,7927 38,4702 54,4246 71,3633 89,1034 107,5196 126,5204 146,0364 166,0128 186,4054 207,1779 228,2995 249,7443 271,4899 293,5168 315,8079 338,3480 361,1236 384,1226 407,3340 430,7480 454,3555 478,1482 502,1186 526,2597 550,5651 575,0287 599,6449 624,4087 649,3151 674,3596 699,5380 724,8463 750,2806 775,8375 801,5135 827,3055 853,2104 879,2255 905,3479 931,5751 957,9047 984,3342 1010,8614 1037,4841 1064,2004 1091,0082 1117,9057 1144,8909 1171,9623 1199,1181 1226,3567 1253,6766 1281,0762 1308,5541 1336,1090 1363,7395 1391,4443 1419,2221 1447,0718 1474,9920 1502,9821 1531,0404 1559,1662 1587,3583 1615,6158 1643,9376
2,0792 12,1165 25,1906 40,0142 56,0778 73,1037 90,9163 109,3946 128,4498 148,0141 168,0340 188,4661 209,2748 230,4298 251,9057 273,6803 295,7343 318,0509 340,6152 363,4136 386,4343 409,6664 433,1002 456,7265 480,5374 504,5252 528,6830 553,0044 577,4835 602,1147 626,8930 651,8134 676,8715 702,0631 727,3841 752,8303 778,3997 804,0875 829,8909 855,8070 881,8329 907,9660 934,2035 960,5431 986,9825 1013,5194 1040,1516 1068,8771 1093,6940 1120,6003 1147,5942 1174,6741 1201,8383 1229,0851 1256,4130 1283,8205 1311,3062 1338,8687 1366,5066 1394,2188 1422,0039 1449,8607 1477,7880 1505,7849 1533,8500 1561,9824 1590,1811 1618,4451 1646,7733
2,8573 13,3206 26,6056 41,5705 57,7406 74,8519 92,7359 111,2754 130,3843 149,9964 170,0593 190,5306 211,3751 232,5634 254,0700 275,8734 297,9544 320,2965 342,8847 365,7059 388,7482 412,0009 435,4543 459,0994 482,9283 506,9334 531,1078 555,4453 579,9399 604,5860 629,3787 654,3131 679,3847 704,5894 729,9232 755,3823 780,9632 806,6627 832,4775 858,4047 884,4415 910,5850 936,8329 963,1826 989,6318 1016,1783 1042,8200 1069,5547 1096,3806 1123,2951 1150,2984 1177,3868 1024,5593 1231,8142 1259,1501 1286,5655 1314,0590 1341,6291 1369,2745 1396,9940 1424,7863 1452,6503 1480,5846 1508,5883 1536,6602 1564,7993 1593,0046 1621,2750 1649,6096
3,7024 14,5511 28,0370 43,1387 59,4127 76,6077 94,5619 113,1619 132,3238 151,9831 172,0887 192,5988 213,4790 234,7001 256,2374 278,0693 300,1771 322,5444 345,1565 368,0003 391,0642 414,3373 437,8103 461,4742 485,3210 509,3433 533,5344 557,8878 582,3977 607,0588 631,8659 656,8142 681,8993 707,1170 732,4635 757,9349 783,5279 809,2390 835,0652 861,0035 887,0510 913,2052 939,4633 965,8231 992,2822 1018,8383 1045,4893 1072,2332 1099,0681 11125,9921 1153,0034 1180,1003 1207,2811 1234,5442 1261,8881 1289,3114 1316,8126 1344,3903 1372,0432 1399,7700 1427,5695 1455,4405 1483,3819 1511,3924 1539,4711 1567,6169 1595,8287 1624,1056 1652,4466
8 4,6055 15,8063 29,4841 44,7185 61,0939 78,3712 96,3945 115,0540 134,2683 153,9744 174,1221 194,6707 215,5862 236,8400 258,4076 280,2679 302,4024 324,7948 347,4307 370,2970 393,3822 416,6758 440,1682 463,8508 487,7154 511,7549 535,9625 560,3318 584,8571 609,5330 634,3544 659,3166 684,4152 709,6460 735,0051 760,4888 786,0937 811,8165 837,6540 863,6034 889,6617 915,8264 942,0948 968,4646 994,9334 1021,4991 1048,1595 1074,9127 1101,7565 1128,6893 1155,7093 1182,8146 1210,0037 1237,2750 1264,6269 1292,0580 1319,5669 1347,1522 1374,8126 1402,5467 1430,3534 1458,2315 1486,1798 1514,1973 1542,2827 1570,4351 1598,6535 1626,9368 1655,2842
9 5,5598 17,0851 30,9465 46,3096 62,7841 80,1420 98,2333 116,9516 136,2177 155,9700 176,1595 196,7462 217,6967 238,9830 260,5808 282,4693 304,6303 327,0477 349,7071 372,5959 395,7024 419,0162 442,5281 466,2292 490,1116 514,1682 538,3922 562,7774 587,3180 612,0087 636,8444 661,8204 686,9324 712,1762 737,5479 763,0439 788,6608 814,3952 840,2440 866,2044 892,2734 918,4486 944,7272 971,1071 997,5857 1024,1609 1050,8307 1077,5930 1104,4458 1131,3874 1158,4160 1185,5298 1212,7272 1240,0066 1267,3665 1294,8054 1322,3220 1349,9149 1377,5827 1405,3241 1430,1380 1461,0232 1488,9785 1517,0028 1545,0950 1573,2540 1601,4789 1629,7687 1658,1224
TABLICA 2: Binomni koeficijenti
n
0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20
n 0
n 1
n 2
n 3
n 4
n 5
n 6
n 7
n 8
n 9
n 10
1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1
1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20
1 3 6 10 15 21 28 36 45 55 66 78 91 105 120 136 153 171 190
1 4 10 20 35 56 84 120 165 220 286 364 455 560 680 816 969 1 140
1 5 15 35 70 126 210 330 495 715 1 001 1 365 1 820 2 380 3 060 3 876 4 845
1 6 21 56 126 252 462 792 1 287 2 002 3 003 4 368 6 188 8 568 11 628 15 504
1 7 28 84 210 462 924 1 716 3 003 5 005 8 008 12 376 18 564 27 132 38 760
1 8 36 120 330 792 1 716 3 432 6 435 11 440 19 448 31 824 50 388 77 520
1 9 45 165 495 1 287 3003 6 435 12 870 24 310 43 758 75 582 125 970
1 10 55 220 715 2002 5 005 11 440 24 310 48 620 92 378 167 960
1 11 66 286 1001 3 003 8 008 19 448 43 758 92 378 184 756
3
TABLICA 3: Ordinate jedinične normalne razdiobe Z 0,0 0,1 0,2 0,3 0,4 0,5 0,6 0,7 0,8 0,9 1,0 1,1 1,2 1,3 1,4 1,5 1,6 1,7 1,8 1,9 2,0 2,1 2,2 2,3 2,4 2,5 2,6 2,7 2,8 2,9 3,0 3,1 3,2 3,3 3,4 3,5 3,6 3,7 3,8 3,9
0 ,39894 ,39695 ,39104 ,38139 ,36827 ,35207 ,33322 ,31225 ,28969 ,26609 ,24197 ,21785 ,19419 ,17137 ,14973 ,12952 ,11092 ,09405 ,07895 ,06562 ,05399 ,04398 ,03547 ,02833 02239 ,01753 ,01358 ,01042 ,00792 ,00595 ,00443 ,00327 ,00238 ,00172 ,00123 ,00087 ,00061 ,00042 ,00029 ,00020
1 ,39892 ,39654 ,39024 ,38023 ,36678 ,35029 ,33121 ,31006 ,28737 ,26369 ,23955 ,21546 ,19186 ,16915 ,14764 ,12758 ,10915 ,09246 ,07754 ,06439 ,05292 ,04307 ,03470 ,02768 ,02186 ,01709 ,01323 ,01014 ,00770 ,00578 ,00430 ,00317 ,00231 ,00167 ,00119 ,00084 ,00059 ,00041 ,00028 ,00019
2 ,39886 ,39608 ,38940 ,37903 ,36526 ,34849 ,32918 ,30785 ,28504 ,26129 ,23713 ,21307 ,18954 ,16694 ,14556 ,12566 ,10741 ,09089 ,07614 ,06316 ,05186 ,04217 ,03394 ,02705 ,02134 ,01667 ,01289 ,00987 ,00748 ,00562 ,00417 ,00307 ,00224 ,00161 ,00115 ,00081 ,00057 ,00039 ,00027 ,00018
3 ,39876 ,39559 ,38853 ,37780 ,36371 ,34667 ,32713 ,30563 ,28269 ,25888 ,23471 ,21069 ,18724 ,16474 ,14350 ,12376 ,10567 ,08933 ,07477 ,06195 ,05082 ,04128 ,03319 ,02643 ,02083 ,01625 ,01256 ,00961 ,00727 ,00545 ,00405 ,00298 ,00216 ,00156 ,00111 ,00079 ,00055 ,00038 ,00026 ,00018
4 ,39862 ,39505 ,38762 ,37654 ,36213 ,34482 ,32506 ,30339 ,28034 ,25647 ,23230 ,20831 ,18494 ,16256 ,14146 ,12188 ,10396 ,08780 ,07341 ,06077 ,04980 ,04041 ,03246 ,02582 ,02033 ,01585 ,01223 ,00935 ,00707 ,00530 ,00393 ,00288 ,00210 ,00151 ,00107 ,00076 ,00053 ,00037 ,00025 ,00017
5 ,39844 ,39448 ,38667 ,37524 ,36053 ,34294 ,32297 ,30114 ,27798 ,25406 ,22988 ,20594 ,18265 ,16038 ,13943 ,12001 ,10226 ,08628 ,07206 ,05959 ,04879 ,03955 ,03174 ,02522 ,01984 ,01545 ,01191 ,00909 ,00687 ,00514 ,00381 ,00279 ,00203 ,00146 ,00104 ,00073 ,00051 ,00035 ,00024 ,00016
6 ,39822 ,39387 ,38568 ,37391 ,35889 ,34105 ,32086 ,29887 ,27562 ,25164 ,22747 ,20357 ,18037 ,15822 ,13742 ,11816 ,10059 ,08478 ,07074 ,05844 ,04780 ,03872 ,03103 ,02463 ,01936 ,01506 ,01160 ,00885 ,00668 ,00499 ,00370 ,00271 ,00196 ,00141 ,00100 ,00071 ,00049 ,00034 ,00023 ,00016
7 ,39797 ,39322 ,38466 ,37255 ,35723 ,33912 ,31874 ,29659 ,27324 ,24923 ,22506 ,20121 ,17810 ,15608 ,13542 ,11632 ,09893 ,08329 ,06943 ,05730 ,04682 ,03788 ,03034 ,02406 ,01889 ,01468 ,01130 ,00861 ,00649 ,00485 ,00358 ,00262 ,00190 ,00136 ,00097 ,00068 ,00047 ,00033 ,00022 ,00015
8 ,39767 ,39253 ,38361 ,37115 ,35553 ,33718 ,31659 ,29431 ,27086 ,24681 ,22265 ,19886 ,17585 ,15395 ,13344 ,11450 ,09728 ,08183 ,06814 ,05618 ,04586 ,03706 ,02965 ,02349 ,01842 ,01431 ,01100 ,00837 ,00631 ,00471 ,00348 ,00254 ,00184 ,00132 ,00094 ,00066 ,00046 ,00031 ,00021 ,00014
9 ,39733 ,39181 ,38251 ,36973 ,35381 ,33521 ,31443 ,29200 ,26848 ,24439 ,22025 ,19652 ,17360 ,15183 ,13147 ,11270 ,09566 ,08038 ,06687 ,05508 ,04491 ,03626 ,02898 ,02294 ,01797 ,01394 ,01071 ,00814 ,00613 ,00457 ,00337 ,00246 ,00178 ,00127 ,00090 ,00063 ,00044 ,00030 ,00021 ,00014
4
TABLICA 4: Površine ispod normalne krivulje Z 0,0 0,1 0,2 0,3 0,4 0,5 0,6 0,7 0,8 0,9 1,0 1,1 1,2 1,3 1,4 1,5 1,6 1,7 1,8 1,9 2,0 2,1 2,2 2,3 2,4 2,5 2,6 2,7 2,8 2,9 3,0 3,1 3,2 3,3 3,4 3,5 4,0 4,5 5,0
0 ,00000 ,09383 ,07926 ,11791 ,15542 ,19146 ,22575 ,25804 ,28814 ,31594 ,34134 ,36433 ,38293 ,40320 ,41924 ,43319 ,44520 ,45543 ,46407 ,47128 ,47725 ,48214 ,48610 ,48928 ,49180 ,49379 ,49534 ,49653 ,49744 ,,49813 ,49865 ,49903 ,49931 ,49952 ,49966 ,4997674 ,4999683 ,4999966 ,499999713
1 ,00399 ,04380 ,08317 ,12172 ,15910 ,19497 ,22907 ,26115 ,29103 ,31859 ,34375 ,36650 ,38686 ,40490 ,42073 ,43448 ,44630 ,45637 ,46485 ,47193 ,47778 ,48257 ,48645 ,48956 ,49202 ,49396 ,49547 ,49664 ,49752 ,49819 ,49869 ,49906 ,49934 ,49953 ,49968
2 ,00798 ,04776 ,03706 ,12552 ,16276 ,19847 ,23237 ,26424 ,29389 ,32121 ,34614 ,36864 ,38877 ,40658 ,42220 ,43574 ,44738 ,45728 ,46562 ,47257 ,47831 ,48300 ,48679 ,48983 ,49224 ,49413 ,49560 ,49674 ,49760 ,49825 ,49874 ,49910 ,49936 ,49955 ,49969
Druga decimalna znamenka u Z 3 4 5 6 ,01197 ,01595 ,01994 ,02392 ,05172 ,05567 ,05962 ,06356 ,09095 ,09483 ,09871 ,10257 ,12930 ,13307 ,13683 ,14058 ,16640 ,17003 ,17364 ,17724 ,20194 ,20540 ,20884 ,21226 ,23565 ,23891 ,24215 ,24537 ,26730 ,27035 ,27337 ,27637 ,29673 ,29955 ,30234 ,30511 ,32381 ,32639 ,32894 ,33147 ,34850 ,35083 ,35314 ,35543 ,37076 ,37286 ,37493 ,37698 ,39065 ,39251 ,39435 ,39617 ,40824 ,40988 ,41149 ,41309 ,42364 ,42507 ,42647 ,42786 ,43699 ,43822 ,43943 ,44062 ,44845 ,44950 ,45053 ,45154 ,45818 ,45907 ,45994 ,46080 ,46638 ,46712 ,46784 ,46856 ,47320 ,47381 ,47441 ,47500 ,47882 ,47932 ,47982 ,48030 ,48341 ,48382 ,48422 ,48461 ,48713 ,48745 ,48778 ,48809 ,49010 ,49036 ,49061 ,49086 ,49245 ,49266 ,49286 ,49305 ,49430 ,49446 ,49461 ,49477 ,49573 ,49585 ,49598 ,49609 ,49683 ,49693 ,49702 ,49711 ,49767 ,49774 ,49781 ,49788 ,49831 ,49836 ,49841 ,49846 ,49878 ,49882 ,49886 ,49889 ,49913 ,49916 ,49918 ,49921 ,49938 ,49940 ,49942 ,49944 ,49957 ,49958 ,49960 ,49961 ,49970 ,49971 ,49972 ,49973
7 ,02790 ,06749 ,10642 ,14431 ,18082 ,21566 ,24857 ,27935 ,30785 ,33398 ,35769 ,37900 ,39796 ,41466 ,42922 ,44179 ,45254 ,46164 ,46926 ,47558 ,48077 ,48500 ,48840 ,49111 ,49324 ,49492 ,49621 ,49720 ,49795 ,49851 ,49893 ,49924 ,49946 ,49962 ,49974
8 ,03188 ,07142 ,11026 ,14803 ,18439 ,21904 ,25175 ,28230 ,31057 ,33646 ,35993 ,38100 ,39973 ,41621 ,43056 ,44295 ,45352 ,46246 ,46995 ,47615 ,48124 ,48537 ,48870 ,49134 ,49343 ,49506 ,49632 ,49728 ,49801 ,49856 ,49897 ,49926 ,49948 ,49964 ,49975
9 ,03586 ,07535 ,11409 ,15173 ,18793 ,22240 ,25490 ,28524 ,31327 ,33891 ,36214 ,38298 ,40147 ,41774 ,43189 ,44408 ,45449 ,46327 ,47062 ,47670 ,48169 ,48574 ,48899 ,49158 ,49361 ,49520 ,49643 ,49736 ,49807 ,49861 ,49900 ,49929 ,49950 ,49965 ,49976
5
TABLICA 6: Vrijednosti t za Studentovu razdiobu, uz vjerojatnosti Q(t) i stupnjeve slobode k = 1, 2, 3, …, 30 k 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
0,9
0,8
0,7
0,6
0,5
0,158 0,142 0,137 0,134 0,132 0,131 0,130 0,130 0,129 0,129 0,129 0,128 0,128 0,128 0,128 0,128 0,128 0,127 0,127 0,127 0,127 0,127 0,127 0,127 0,127 0,127 0,127 0,127 0,127 0,127
0,325 0,289 0,277 0,271 0,267 0,265 0,263 0,262 0,261 0,260 0,260 0,259 0,259 0,258 0,258 0,258 0,257 0,257 0,257 0,257 0,257 0,256 0,256 1,256 0,256 0,256 0,256 0,256 0,256 0,256
0,510 0,445 0,424 0,414 0,408 0,404 0,402 0,399 0,398 0,397 0,396 0,395 0,394 0,393 0,393 0,392 0,392 0,392 0,391 0,391 0,391 0,390 0,390 0,390 0,390 0,390 0,389 0,389 0,389 0,389
0,727 0,617 0,584 0,569 0,559 0,553 0,549 0,546 0,543 0,542 0,540 0,539 0,538 0,537 0,536 0,535 0,534 0,534 0,533 0,533 0,532 0,532 0,532 0,531 0,531 0,531 0,531 0,530 0,530 0,530
1,000 0,816 0,765 0,741 0,727 0,718 0,711 0,706 0,703 0,700 0,697 0,695 0,694 0,692 0,691 0,690 0,689 0,688 0,688 0,687 0,686 0,686 0,685 0,665 0,684 0,684 0,684 0,683 0,683 0,683
0,4 1,376 1,061 0,978 0,941 0,920 0,906 0,896 0,889 0,883 0,879 0,876 0,873 0,870 0,868 0,866 0,865 0,863 0,862 0,861 0,860 0,859 0,858 0,858 0,857 0,856 0,856 0,855 0,855 0,854 0,854
0,3 1,963 1,386 1,250 1,190 1,156 1,134 1,119 1,108 1,100 1,093 1,088 1,083 1,079 1,076 1,074 1,071 1,069 1,067 1,066 1,064 1,063 1,061 1,060 1,059 1,058 1,058 1,057 1,056 1,055 1,055
0,2 3,078 1,886 1,638 1,533 1,476 1,440 1,415 1,397 1,383 1,372 1,363 1,356 1,350 1,345 1,341 1,337 1,333 1,330 1,328 1,325 1,323 1,321 1,319 1,318 1,316 1,315 1,314 1,313 1,311 1,310
0,1
0,05
0,02
0,01
0,001
6,314 2,920 2,353 2,132 2,015 1,943 1,895 1,860 1,833 1,812 1,796 1,782 1,771 1,761 1,753 1,746 1,740 1,734 1,729 1,725 1,721 1,717 1,714 1,711 1,708 1,706 1,703 1,701 1,699 1,697
12,706 4,303 3,182 2,776 2,571 2,447 2,365 2,306 2,262 2,228 2,201 2,179 2,160 2,145 2,131 2,120 2,110 2,101 2,093 2,086 2,080 2,074 2,069 2,064 2,060 2,056 2,052 2,048 2,045 2,042
31,821 6,965 4,541 3,747 3,365 3,143 2,998 2,896 2,821 2,764 2,718 2,681 2,650 2,624 2,602 2,583 2,567 2,552 2,539 2,528 2,518 2,508 2,500 2,492 2,485 2,479 2,473 2,267 2,462 2,457
63,657 9,925 5,841 4,604 4,032 3,707 3,499 3,355 3,250 3,169 3,106 3,055 3,012 2,977 2,947 2,921 2,898 2,878 2,861 2,845 2,831 2,819 2,807 2,797 2,787 2,779 2,771 2,763 2,756 2,750
636,619 31,598 12,941 8,610 6,859 5,959 5,405 5,041 4,781 4,587 4,437 4,318 4,221 4,140 4,073 4,015 3,965 3,922 3,883 3,850 3,819 3,792 3,767 3,745 3,725 3,707 3,690 3,674 3,659 3,646
TABLICA 7: Vjerojatnosti pri binomnoj razdiobi p x
0,05
0,06
0,07
0,08
0 1 2 3 4 5
,77378 ,19363 ,02143 ,00113 ,00003 ,00000
,73390 ,23423 ,02990 ,00191 ,00006 ,00000
,69569 ,26182 ,03941 ,00297 ,00011 ,00000
,65908 ,28656 ,04983 ,00434 ,00019 ,00000
n=5 ,62403 ,5905 ,30859 ,3280 ,06104 ,0729 ,00604 ,0081 ,00029 ,0005 ,00001 ,0000
0 1 2 3 4 5 6 7 8 9 10
,59874 ,31512 ,07464 ,01047 ,00097 ,00006 ,00000
,53862 ,34379 ,09875 ,01681 ,00188 ,00014 ,00001 ,00000
,48398 ,36429 ,12334 ,02476 ,00327 ,00029 ,00002 ,00000
,43439 ,37773 ,14780 ,03428 ,00521 ,00055 ,00004 ,00000
n = 10 ,38942 ,3487 ,38513 ,3874 ,17141 ,1937 ,04521 ,0574 ,00782 ,0112 ,00093 ,0015 ,00008 ,0001 ,00000 ,0000
0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15
,46329 ,36576 ,13475 ,03073 ,00486 ,00056 ,00005 ,00000
,39529 ,37847 ,16911 ,04677 ,00896 ,00125 ,00014 ,00001 ,00000
,33670 ,38015 ,20029 ,06533 ,01475 ,00244 ,00031 ,00003 ,00000
,28630 ,37343 ,22730 ,08566 ,02234 ,00427 ,00062 ,00007 ,00001 ,00000
n = 15 ,24301 ,2059 ,36050 ,3431 ,24959 ,2669 ,10696 ,1285 ,03174 ,0429 ,00690 ,0105 ,00114 ,0019 ,00014 ,0003 ,00002 ,0000 ,00000
0,09
0,1
0,2
0,3
0,4
0,5
,3277 ,4096 ,2048 ,0512 ,0064 ,0003
,1681 ,3601 ,3087 ,1323 ,0284 ,0024
,0778 ,2592 ,3456 ,2304 ,0768 ,0102
,0313 ,1562 ,3125 ,3125 ,1562 ,0313
,1074 ,2684 ,3020 ,2013 ,0881 ,0264 ,0055 ,0008 ,0001 ,0000
,0282 ,1211 ,2335 ,2668 ,2001 ,1030 ,0367 ,0090 ,0015 ,0001 ,0000
,0060 ,0404 ,1209 ,2150 ,2508 ,2007 ,1114 ,0425 ,0106 ,0016 ,0001
,0010 ,0097 ,0440 ,1172 ,2051 ,2460 ,2051 ,1172 ,0440 ,0097 ,0010
,0352 ,1319 ,2309 ,2502 ,1876 ,1031 ,0430 ,0139 ,0034 ,0001 ,0000
,0047 ,0306 ,0915 ,1701 ,2186 ,2061 ,1473 ,0811 ,0348 ,0115 ,0030 ,0006 ,0001 ,0000
,0005 ,0047 ,0219 ,0634 ,1268 ,1859 ,2066 ,1771 ,1181 ,0612 ,0245 ,0074 ,0016 ,0003 ,0000
,0000 ,0005 ,0032 ,0139 ,0416 ,0917 ,1527 ,1964 ,1964 ,1527 ,0917 ,0416 ,0139 ,0032 ,0005 ,0000
8
TABLICA 7 (nastavak) p x
0,05
0,06
0,07
0,08
0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19
,35849 ,37735 ,18868 ,05958 ,01333 ,00224 ,00030 ,00003 ,00000
,29011 ,37034 ,22458 ,08600 ,02334 ,00476 ,00076 ,00010 ,00001 ,00000
,23424 ,35262 ,25214 ,11387 ,03642 ,00878 ,00165 ,00025 ,00003 ,00000
,18869 ,32817 ,27109 ,14143 ,05228 ,01454 ,00316 ,00055 ,00008 ,00001 ,00000
0 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
,21464 ,33890 ,25864 ,12705 ,04513 ,01236 ,00271 ,00049 ,00007 ,00001 ,00000
,15626 ,29921 ,27693 ,16498 ,07108 ,02359 ,00628 ,00137 ,00025 ,00004 ,00001 ,00000
,11337 ,25599 ,27939 ,19627 ,09972 ,03903 ,01224 ,00316 ,00068 ,00013 ,00002 ,00000
,08197 ,21382 ,26961 ,21881 ,12843 ,05807 ,02104 ,00628 ,00156 ,00034 ,00006 ,00001 ,00000
0,09
0,1
n = 20 ,15164 ,1216 ,29996 ,2701 ,28183 ,2852 ,16724 ,1901 ,07029 ,0898 ,02225 ,0319 ,00550 ,0089 ,00109 ,0020 ,00017 ,0003 ,00003 ,0001 ,00000 ,0000
n = 30 ,05905 ,0424 ,17522 ,1413 ,25126 ,2277 ,23194 ,2360 ,15484 ,1771 ,07963 ,1023 ,03281 ,0474 ,01113 ,0180 ,00316 ,0058 ,00077 ,0015 ,00016 ,0004 ,00002 ,0001 ,00001 ,0000 ,00000
0,2
0,3
0,4
0,5
,0115 ,0577 ,1369 ,2053 ,2182 ,1746 ,1091 ,0546 ,0221 ,0074 ,0020 ,0005 ,0001
,0008 ,0068 ,0279 ,0716 ,1307 ,1789 ,1916 ,1643 ,1144 ,0653 ,0309 ,0120 ,0038 ,0003 ,0000
,0000 ,0005 ,0031 ,0124 ,0350 ,0746 ,1244 ,1659 ,1797 ,1597 ,1172 ,0710 ,0355 ,0049 ,0013 ,0003 ,0000
,0000 ,0000 ,0002 ,0011 ,0046 ,0148 ,0370 ,0739 ,1201 ,1602 ,1762 ,1602 ,1201 ,0739 ,0370 ,0148 ,0046 ,0011 ,0002 ,0000
,0012 ,0093 ,0337 ,0785 ,1325 ,1723 ,1795 ,1538 ,1105 ,0676 ,0355 ,0161 ,0064 ,0022 ,0007 ,0002 ,0000
,0000 ,0003 ,0018 ,0072 ,0209 ,0464 ,0829 ,1219 ,1501 ,1573 ,1416 ,1103 ,0748 ,0444 ,0232 ,0105 ,0043 ,0015 ,0004 ,0002 ,0000
,0000 ,0000 ,0000 ,0003 ,0012 ,0042 ,0115 ,0263 ,0505 ,0823 ,1152 ,1396 ,1474 ,1360 ,1101 ,0783 ,0490 ,0279 ,0119 ,0054 ,0020 ,0007 ,0002 ,0000
,0000 ,0000 ,0000 ,0000 ,0000 ,0002 ,0005 ,0019 ,0055 ,0133 ,0280 ,0508 ,0806 ,1115 ,1355 ,1444 ,1355 ,1115 ,0806 ,0508 ,0280 ,0133 ,0055 ,0019 ,0005 ,0002 ,0000
9
TABLICA 8: Vjerojatnosti pri Poissonovoj razdiobi λ
x
0 1 2 3 4 5 6 7 8 9
0,1 ,90484 ,09048 ,00452 ,00015 ,00000
0,2 ,81873 ,16374 ,01638 ,00109 ,00006 ,00000
0,3 ,74082 ,22225 ,03334 ,00333 ,00025 ,00002 ,00000
0,4 ,67032 ,26813 ,05363 ,00715 ,00072 ,00006 ,00000
0,5 ,60653 ,30327 ,07582 ,01264 ,00158 ,00016 ,00001 ,00000
0,6 ,54881 ,32929 ,09879 ,01976 ,00296 ,00036 ,00004 ,00000
0,7 ,49659 ,34761 ,12166 ,02839 ,00497 ,00070 ,00008 ,00001 ,00000
0,8 ,44933 ,35946 ,14379 ,03834 ,00767 ,00123 ,00015 ,00002 ,00000
0,9 ,40657 ,36591 ,16466 ,04940 ,01112 ,00200 ,00030 ,00004 ,00000
1,0 ,36788 ,36788 ,18394 ,06131 ,01533 ,00307 ,00051 ,00007 ,00001 ,00000
7 ,00091 ,00638 ,02234 ,05213 ,09123 ,12772 ,14900 ,14900 ,13038 ,10141 ,07098 ,04517 ,02635 ,01419 ,00709 ,00331 ,00145 ,00060 ,00023 ,00009 ,00003 ,00001 ,00000
8 ,00034 ,00268 ,01074 ,02863 ,05725 ,09160 ,12214 ,13959 ,13959 ,12408 ,09926 ,07219 ,04813 ,02962 ,01692 ,00903 ,00451 ,00212 ,00094 ,00040 ,00016 ,00006 ,00002 ,00001 ,00000
9 ,00012 ,00111 ,00500 ,01499 ,03374 ,06073 ,09109 ,11712 ,13176 ,13176 ,11858 ,09702 ,07277 ,05038 ,03238 ,01943 ,01093 ,00579 ,00289 ,00137 ,00062 ,00026 ,00011 ,00004 ,00002 ,00001 ,00000
10 ,00005 ,00045 ,00227 ,00757 ,01892 ,03783 ,06306 ,09008 ,11260 ,12511 ,12511 ,11374 ,09478 ,07291 ,05208 ,03472 ,02170 ,01276 ,00709 ,00373 ,00187 ,00089 ,00040 ,00017 ,00007 ,00003 ,00001 ,00000
11 ,00002 ,00018 ,00101 ,00371 ,01019 ,02242 ,04110 ,06458 ,08879 ,10853 ,11938 ,11938 ,10943 ,09260 ,07275 ,05335 ,03668 ,02373 ,01450 ,00840 ,00462 ,00243 ,00121 ,00058 ,00027 ,00012 ,00005 ,00002 ,00001 ,00000
λ
0 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
2 ,13534 ,27067 ,27067 ,18045 ,09022 ,03609 ,01203 ,00344 ,00086 ,00019 ,00004 ,00001 ,00000
3 ,04979 ,14936 ,22404 ,22404 ,16803 ,10082 ,05041 ,02160 ,00810 ,00270 ,00081 ,00022 ,00006 ,00001 ,00000
4 ,01832 ,07326 ,14653 ,19537 ,19537 ,15629 ,10420 ,05954 ,02977 ,01323 ,00529 ,00193 ,00064 ,00020 ,00006 ,00002 ,00000
5 ,00674 ,03369 ,08422 ,14037 ,17547 ,17547 ,14622 ,10445 ,06528 ,03627 ,01813 ,00824 ,00343 ,00132 ,00047 ,00016 ,00005 ,00001 ,00000
6 ,00248 ,01287 ,04462 ,08924 ,13385 ,16062 ,16062 ,13768 ,10328 ,06884 ,04130 ,02253 ,01126 ,00520 ,00223 ,00089 ,00033 ,00012 ,00004 ,00001 ,00000
10
TABLICA 9: Kritične vrijednosti koeficijenta korelacije ranga
Veličina uzorka n 6 7 8 9 10 12 14 16 18 20 22 24 26 28 30
Razina signifikantnosti 5% 1% 0,829 0,943 0,714 0,893 0,643 0,833 0,600 0,783 0,564 0,746 0,506 0,712 0,456 0,645 0,425 0,601 0,399 0,564 0,377 0,534 0,359 0,508 0,343 0,485 0,329 0,465 0,327 0,448 0,306 0,432
11
12
