Dystrybuanta rozkładu normalnego - 0,5 | |||||||||||
x | 0 | 1 | 2 | 3 | 4 | 5 | 6 | 7 | 8 | 9 | . |
0,0 | 0,00000 | 0,00399 | 0,00798 | 0,01197 | 0,01595 | 0,01994 | 0,02392 | 0,02790 | 0,03188 | 0,03586 | |
0,1 | 0,03983 | 0,04380 | 0,04776 | 0,05172 | 0,05567 | 0,05962 | 0,06356 | 0,06749 | 0,07142 | 0,07535 | |
0,2 | 0,07926 | 0,08317 | 0,08706 | 0,09095 | 0,09483 | 0,09871 | 0,10257 | 0,10642 | 0,11026 | 0,11409 | |
0,3 | 0,11791 | 0,12172 | 0,12552 | 0,12930 | 0,13307 | 0,13683 | 0,14058 | 0,14431 | 0,14803 | 0,15173 | |
0,4 | 0,15542 | 0,15910 | 0,16276 | 0,16640 | 0,17003 | 0,17364 | 0,17724 | 0,18082 | 0,18439 | 0,18793 | |
0,5 | 0,19146 | 0,19497 | 0,19847 | 0,20194 | 0,20540 | 0,20884 | 0,21226 | 0,21566 | 0,21904 | 0,22240 | |
0,6 | 0,22575 | 0,22907 | 0,23237 | 0,23565 | 0,23891 | 0,24215 | 0,24537 | 0,24857 | 0,25175 | 0,25490 | |
0,7 | 0,25804 | 0,26115 | 0,26424 | 0,26730 | 0,27035 | 0,27337 | 0,27637 | 0,27935 | 0,28230 | 0,28524 | |
0,8 | 0,28814 | 0,29103 | 0,29389 | 0,29673 | 0,29955 | 0,30234 | 0,30511 | 0,30785 | 0,31057 | 0,31327 | |
0,9 | 0,31594 | 0,31859 | 0,32121 | 0,32381 | 0,32639 | 0,32894 | 0,33147 | 0,33398 | 0,33646 | 0,33891 | |
1,0 | 0,34134 | 0,34375 | 0,34614 | 0,34849 | 0,35083 | 0,35314 | 0,35543 | 0,35769 | 0,35993 | 0,36214 | |
1,1 | 0,36433 | 0,36650 | 0,36864 | 0,37076 | 0,37286 | 0,37493 | 0,37698 | 0,37900 | 0,38100 | 0,38298 | |
1,2 | 0,38493 | 0,38686 | 0,38877 | 0,39065 | 0,39251 | 0,39435 | 0,39617 | 0,39796 | 0,39973 | 0,40147 | |
1,3 | 0,40320 | 0,40490 | 0,40658 | 0,40824 | 0,40988 | 0,41149 | 0,41309 | 0,41466 | 0,41621 | 0,41774 | |
1,4 | 0,41924 | 0,42073 | 0,42220 | 0,42364 | 0,42507 | 0,42647 | 0,42785 | 0,42922 | 0,43056 | 0,43189 | |
1,5 | 0,43319 | 0,43448 | 0,43574 | 0,43699 | 0,43822 | 0,43943 | 0,44062 | 0,44179 | 0,44295 | 0,44408 | |
1,6 | 0,44520 | 0,44630 | 0,44738 | 0,44845 | 0,44950 | 0,45053 | 0,45154 | 0,45254 | 0,45352 | 0,45449 | |
1,7 | 0,45543 | 0,45637 | 0,45728 | 0,45818 | 0,45907 | 0,45994 | 0,46080 | 0,46164 | 0,46246 | 0,46327 | |
1,8 | 0,46407 | 0,46485 | 0,46562 | 0,46638 | 0,46712 | 0,46784 | 0,46856 | 0,46926 | 0,46995 | 0,47062 | |
1,9 | 0,47128 | 0,47193 | 0,47257 | 0,47320 | 0,47381 | 0,47441 | 0,47500 | 0,47558 | 0,47615 | 0,47670 | |
2,0 | 0,47725 | 0,47778 | 0,47831 | 0,47882 | 0,47932 | 0,47982 | 0,48030 | 0,48077 | 0,48124 | 0,48169 | |
2,1 | 0,48214 | 0,48257 | 0,48300 | 0,48341 | 0,48382 | 0,48422 | 0,48461 | 0,48500 | 0,48537 | 0,48574 | |
2,2 | 0,48610 | 0,48645 | 0,48679 | 0,48713 | 0,48745 | 0,48778 | 0,48809 | 0,48840 | 0,48870 | 0,48899 | |
2,3 | 0,48928 | 0,48956 | 0,48983 | 0,49010 | 0,49036 | 0,49061 | 0,49086 | 0,49111 | 0,49134 | 0,49158 | |
2,4 | 0,49180 | 0,49202 | 0,49224 | 0,49245 | 0,49266 | 0,49286 | 0,49305 | 0,49324 | 0,49343 | 0,49361 | |
2,5 | 0,49379 | 0,49396 | 0,49413 | 0,49430 | 0,49446 | 0,49461 | 0,49477 | 0,49492 | 0,49506 | 0,49520 | |
2,6 | 0,49534 | 0,49547 | 0,49560 | 0,49573 | 0,49585 | 0,49598 | 0,49609 | 0,49621 | 0,49632 | 0,49643 | |
2,7 | 0,49653 | 0,49664 | 0,49674 | 0,49683 | 0,49693 | 0,49702 | 0,49711 | 0,49720 | 0,49728 | 0,49736 | |
2,8 | 0,49744 | 0,49752 | 0,49760 | 0,49767 | 0,49774 | 0,49781 | 0,49788 | 0,49795 | 0,49801 | 0,49807 | |
2,9 | 0,49813 | 0,49819 | 0,49825 | 0,49831 | 0,49836 | 0,49841 | 0,49846 | 0,49851 | 0,49856 | 0,49861 | |
3,0 | 0,4986501 | 0,4986938 | 0,4987361 | 0,4987772 | 0,4988171 | 0,4988558 | 0,4988933 | 0,4989297 | 0,4989650 | 0,4989992 | |
3,1 | 0,4990324 | 0,4990646 | 0,4990957 | 0,4991260 | 0,4991553 | 0,4991836 | 0,4992112 | 0,4992378 | 0,4992636 | 0,4992886 | |
3,2 | 0,4993129 | 0,4993363 | 0,4993590 | 0,4993810 | 0,4994024 | 0,4994230 | 0,4994429 | 0,4994623 | 0,4994810 | 0,4994991 | |
3,3 | 0,4995166 | 0,4995335 | 0,4995499 | 0,4995658 | 0,4995811 | 0,4995959 | 0,4996103 | 0,4996242 | 0,4996376 | 0,4996505 | |
3,4 | 0,4996631 | 0,4996752 | 0,4996869 | 0,4996982 | 0,4997091 | 0,4997197 | 0,4997299 | 0,4997398 | 0,4997493 | 0,4997585 | |
3,5 | 0,4997674 | 0,4997759 | 0,4997842 | 0,4997922 | 0,4997999 | 0,4998074 | 0,4998146 | 0,4998215 | 0,4998282 | 0,4998347 | |
3,6 | 0,4998409 | 0,4998469 | 0,4998527 | 0,4998583 | 0,4998637 | 0,4998689 | 0,4998739 | 0,4998787 | 0,4998834 | 0,4998879 | |
3,7 | 0,4998922 | 0,4998964 | 0,4999004 | 0,4999043 | 0,4999080 | 0,4999116 | 0,4999150 | 0,4999184 | 0,4999216 | 0,4999247 | |
3,8 | 0,4999277 | 0,4999305 | 0,4999333 | 0,4999359 | 0,4999385 | 0,4999409 | 0,4999433 | 0,4999456 | 0,4999478 | 0,4999499 | |
3,9 | 0,4999519 | 0,4999539 | 0,4999557 | 0,4999575 | 0,4999593 | 0,4999609 | 0,4999625 | 0,4999641 | 0,4999655 | 0,4999670 | |
4,0 | 0,4999683 | 0,4999696 | 0,4999709 | 0,4999721 | 0,4999733 | 0,4999744 | 0,4999755 | 0,4999765 | 0,4999775 | 0,4999784 | |
4,1 | 0,4999793 | 0,4999802 | 0,4999811 | 0,4999819 | 0,4999826 | 0,4999834 | 0,4999841 | 0,4999848 | 0,4999854 | 0,4999861 | |
4,2 | 0,4999867 | 0,4999872 | 0,4999878 | 0,4999883 | 0,4999888 | 0,4999893 | 0,4999898 | 0,4999902 | 0,4999907 | 0,4999911 | |
4,3 | 0,4999915 | 0,4999918 | 0,4999922 | 0,4999925 | 0,4999929 | 0,4999932 | 0,4999935 | 0,4999938 | 0,4999941 | 0,4999943 | |
4,4 | 0,4999946 | 0,4999948 | 0,4999951 | 0,4999953 | 0,4999955 | 0,4999957 | 0,4999959 | 0,4999961 | 0,4999963 | 0,4999964 | |
4,5 | 0,4999966 | 0,4999968 | 0,4999969 | 0,4999971 | 0,4999972 | 0,4999973 | 0,4999974 | 0,4999976 | 0,4999977 | 0,4999978 | |
4,6 | 0,4999979 | 0,4999980 | 0,4999981 | 0,4999982 | 0,4999983 | 0,4999983 | 0,4999984 | 0,4999985 | 0,4999986 | 0,4999986 | |
4,7 | 0,4999987 | 0,4999988 | 0,4999988 | 0,4999989 | 0,4999989 | 0,4999990 | 0,4999990 | 0,4999991 | 0,4999991 | 0,4999992 | |
4,8 | 0,4999992 | 0,4999992 | 0,4999993 | 0,4999993 | 0,4999994 | 0,4999994 | 0,4999994 | 0,4999994 | 0,4999995 | 0,4999995 | |
4,9 | 0,4999995 | 0,4999995 | 0,4999996 | 0,4999996 | 0,4999996 | 0,4999996 | 0,4999996 | 0,4999997 | 0,4999997 | 0,4999997 |
Skrócona tabelka rozkładu t Studenta | |||||||||||||
Dla danej ilości r stopni swobody i liczby a tabela podaje wartość ta taką, że | |||||||||||||
P(|T|>ta)=a, gdzie T jest zmienną losową o rozkładzie t Studenta o r stopniach swobody | |||||||||||||
a= | 0,8 | 0,7 | 0,6 | 0,5 | 0,4 | 0,3 | 0,2 | 0,1 | 0,05 | 0,04 | 0,02 | 0,01 | |
r= | |||||||||||||
1 | 0,325 | 0,510 | 0,727 | 1,000 | 1,376 | 1,963 | 3,078 | 6,314 | 12,706 | 15,895 | 31,821 | 63,657 | |
2 | 0,289 | 0,445 | 0,617 | 0,816 | 1,061 | 1,386 | 1,886 | 2,920 | 4,303 | 4,849 | 6,965 | 9,925 | |
3 | 0,277 | 0,424 | 0,584 | 0,765 | 0,978 | 1,250 | 1,638 | 2,353 | 3,182 | 3,482 | 4,541 | 5,841 | |
4 | 0,271 | 0,414 | 0,569 | 0,741 | 0,941 | 1,190 | 1,533 | 2,132 | 2,776 | 2,999 | 3,747 | 4,604 | |
5 | 0,267 | 0,408 | 0,559 | 0,727 | 0,920 | 1,156 | 1,476 | 2,015 | 2,571 | 2,757 | 3,365 | 4,032 | |
6 | 0,265 | 0,404 | 0,553 | 0,718 | 0,906 | 1,134 | 1,440 | 1,943 | 2,447 | 2,612 | 3,143 | 3,707 | |
7 | 0,263 | 0,402 | 0,549 | 0,711 | 0,896 | 1,119 | 1,415 | 1,895 | 2,365 | 2,517 | 2,998 | 3,499 | |
8 | 0,262 | 0,399 | 0,546 | 0,706 | 0,889 | 1,108 | 1,397 | 1,860 | 2,306 | 2,449 | 2,896 | 3,355 | |
9 | 0,261 | 0,398 | 0,543 | 0,703 | 0,883 | 1,100 | 1,383 | 1,833 | 2,262 | 2,398 | 2,821 | 3,250 | |
10 | 0,260 | 0,397 | 0,542 | 0,700 | 0,879 | 1,093 | 1,372 | 1,812 | 2,228 | 2,359 | 2,764 | 3,169 | |
16 | 0,258 | 0,392 | 0,535 | 0,690 | 0,865 | 1,071 | 1,337 | 1,746 | 2,120 | 2,235 | 2,583 | 2,921 | |
25 | 0,256 | 0,390 | 0,531 | 0,684 | 0,856 | 1,058 | 1,316 | 1,708 | 2,060 | 2,167 | 2,485 | 2,787 | |
Skrócona tabelka rozkładu chi kwadrat | |||||||||||||
Dla danej ilości r stopni swobody i liczby a tabela podaje wartość ca2 taką, że | |||||||||||||
P(c2>ca2)=a, gdzie c2 jest zmienną o rozkładzie chi kwadrat o r stopniach swobody | |||||||||||||
a= | 0,99 | 0,98 | 0,96 | 0,95 | 0,90 | 0,80 | 0,20 | 0,10 | 0,05 | 0,04 | 0,02 | 0,01 | 0,001 |
r= | |||||||||||||
1 | 1,57E-04 | 6,28E-04 | 2,52E-03 | 3,93E-03 | 0,0158 | 0,0642 | 1,642 | 2,706 | 3,841 | 4,218 | 5,412 | 6,635 | 10,828 |
2 | 0,0201 | 0,0404 | 0,082 | 0,103 | 0,211 | 0,446 | 3,219 | 4,605 | 5,991 | 6,438 | 7,824 | 9,210 | 13,816 |
3 | 0,115 | 0,185 | 0,300 | 0,352 | 0,584 | 1,005 | 4,642 | 6,251 | 7,815 | 8,311 | 9,837 | 11,345 | 16,266 |
4 | 0,297 | 0,429 | 0,627 | 0,711 | 1,064 | 1,649 | 5,989 | 7,779 | 9,488 | 10,026 | 11,668 | 13,277 | 18,467 |
5 | 0,554 | 0,752 | 1,031 | 1,145 | 1,610 | 2,343 | 7,289 | 9,236 | 11,070 | 11,644 | 13,388 | 15,086 | 20,515 |
6 | 0,872 | 1,134 | 1,492 | 1,635 | 2,204 | 3,070 | 8,558 | 10,645 | 12,592 | 13,198 | 15,033 | 16,812 | 22,458 |
7 | 1,239 | 1,564 | 1,997 | 2,167 | 2,833 | 3,822 | 9,803 | 12,017 | 14,067 | 14,703 | 16,622 | 18,475 | 24,322 |
8 | 1,646 | 2,032 | 2,537 | 2,733 | 3,490 | 4,594 | 11,030 | 13,362 | 15,507 | 16,171 | 18,168 | 20,090 | 26,124 |
9 | 2,088 | 2,532 | 3,105 | 3,325 | 4,168 | 5,380 | 12,242 | 14,684 | 16,919 | 17,608 | 19,679 | 21,666 | 27,877 |
10 | 2,558 | 3,059 | 3,697 | 3,940 | 4,865 | 6,179 | 13,442 | 15,987 | 18,307 | 19,021 | 21,161 | 23,209 | 29,588 |
16 | 5,812 | 6,614 | 7,596 | 7,962 | 9,312 | 11,152 | 20,465 | 23,542 | 26,296 | 27,136 | 29,633 | 32,000 | 39,252 |
25 | 11,524 | 12,697 | 14,098 | 14,611 | 16,473 | 18,940 | 30,675 | 34,382 | 37,652 | 38,642 | 41,566 | 44,314 | 52,620 |
Dla danej wartości l tapela podaje wartość exp(-l) [do obliczania prawdopodobieństwa w rozkładzie Poissona] | |||||||||||||
0,1 | 0,2 | 0,3 | 0,4 | 0,5 | 0,6 | 0,7 | 0,8 | 0,9 | 1,0 | 1,5 | 2,0 | ||
0,90484 | 0,81873 | 0,74082 | 0,67032 | 0,60653 | 0,54881 | 0,49659 | 0,44933 | 0,40657 | 0,36788 | 0,22313 | 0,13534 | ||
2,5 | 3,0 | 3,5 | 4,0 | 4,5 | 5,0 | 5,5 | 6,0 | 7,0 | 8,0 | 9,0 | 10,0 | ||
0,08208 | 0,04979 | 0,03020 | 0,01832 | 0,01111 | 0,00674 | 0,00409 | 0,00248 | 0,00091 | 0,00034 | 0,00012 | 0,00005 |
alpha= | Rozkład Fishera-Snedecora dla alpha=0,01 | alpha= | Rozkład Fishera-Snedecora dla alpha=0,01 | ||||||||||||||||||||||||||||
0,01 | r_1 | 0,01 | r_1 | ||||||||||||||||||||||||||||
1 | 2 | 3 | 4 | 5 | 6 | 7 | 8 | 9 | 10 | 12 | 14 | 16 | 18 | 20 | 22 | 24 | 26 | 28 | 30 | 35 | 40 | 45 | 50 | 60 | 80 | 100 | 200 | 500 | 100000 | ||
r_2 | r_2 | ||||||||||||||||||||||||||||||
1 | 4052 | 5000 | 5403 | 5625 | 5764 | 5859 | 5928 | 5981 | 6022 | 6056 | 6106 | 6143 | 6170 | 6192 | 6209 | 1 | 6223 | 6235 | 6245 | 6253 | 6261 | 6276 | 6287 | 6296 | 6303 | 6313 | 6326 | 6334 | 6350 | 6360 | 6366 |
2 | 98,50 | 99,00 | 99,17 | 99,25 | 99,30 | 99,33 | 99,36 | 99,37 | 99,39 | 99,40 | 99,42 | 99,43 | 99,44 | 99,44 | 99,45 | 2 | 99,45 | 99,46 | 99,46 | 99,46 | 99,47 | 99,47 | 99,47 | 99,48 | 99,48 | 99,48 | 99,49 | 99,49 | 99,49 | 99,50 | 99,50 |
3 | 34,12 | 30,82 | 29,46 | 28,71 | 28,24 | 27,91 | 27,67 | 27,49 | 27,35 | 27,23 | 27,05 | 26,92 | 26,83 | 26,75 | 26,69 | 3 | 26,64 | 26,60 | 26,56 | 26,53 | 26,50 | 26,45 | 26,41 | 26,38 | 26,35 | 26,32 | 26,27 | 26,24 | 26,18 | 26,15 | 26,13 |
4 | 21,20 | 18,00 | 16,69 | 15,98 | 15,52 | 15,21 | 14,98 | 14,80 | 14,66 | 14,55 | 14,37 | 14,25 | 14,15 | 14,08 | 14,02 | 4 | 13,97 | 13,93 | 13,89 | 13,86 | 13,84 | 13,79 | 13,75 | 13,71 | 13,69 | 13,65 | 13,61 | 13,58 | 13,52 | 13,49 | 13,46 |
5 | 16,26 | 13,27 | 12,06 | 11,39 | 10,97 | 10,67 | 10,46 | 10,29 | 10,16 | 10,05 | 9,89 | 9,77 | 9,68 | 9,61 | 9,55 | 5 | 9,51 | 9,47 | 9,43 | 9,40 | 9,38 | 9,33 | 9,29 | 9,26 | 9,24 | 9,20 | 9,16 | 9,13 | 9,08 | 9,04 | 9,02 |
6 | 13,75 | 10,92 | 9,78 | 9,15 | 8,75 | 8,47 | 8,26 | 8,10 | 7,98 | 7,87 | 7,72 | 7,60 | 7,52 | 7,45 | 7,40 | 6 | 7,35 | 7,31 | 7,28 | 7,25 | 7,23 | 7,18 | 7,14 | 7,11 | 7,09 | 7,06 | 7,01 | 6,99 | 6,93 | 6,90 | 6,88 |
7 | 12,25 | 9,55 | 8,45 | 7,85 | 7,46 | 7,19 | 6,99 | 6,84 | 6,72 | 6,62 | 6,47 | 6,36 | 6,28 | 6,21 | 6,16 | 7 | 6,11 | 6,07 | 6,04 | 6,02 | 5,99 | 5,94 | 5,91 | 5,88 | 5,86 | 5,82 | 5,78 | 5,75 | 5,70 | 5,67 | 5,65 |
8 | 11,26 | 8,65 | 7,59 | 7,01 | 6,63 | 6,37 | 6,18 | 6,03 | 5,91 | 5,81 | 5,67 | 5,56 | 5,48 | 5,41 | 5,36 | 8 | 5,32 | 5,28 | 5,25 | 5,22 | 5,20 | 5,15 | 5,12 | 5,09 | 5,07 | 5,03 | 4,99 | 4,96 | 4,91 | 4,88 | 4,86 |
9 | 10,56 | 8,02 | 6,99 | 6,42 | 6,06 | 5,80 | 5,61 | 5,47 | 5,35 | 5,26 | 5,11 | 5,01 | 4,92 | 4,86 | 4,81 | 9 | 4,77 | 4,73 | 4,70 | 4,67 | 4,65 | 4,60 | 4,57 | 4,54 | 4,52 | 4,48 | 4,44 | 4,41 | 4,36 | 4,33 | 4,31 |
10 | 10,04 | 7,56 | 6,55 | 5,99 | 5,64 | 5,39 | 5,20 | 5,06 | 4,94 | 4,85 | 4,71 | 4,60 | 4,52 | 4,46 | 4,41 | 10 | 4,36 | 4,33 | 4,30 | 4,27 | 4,25 | 4,20 | 4,17 | 4,14 | 4,12 | 4,08 | 4,04 | 4,01 | 3,96 | 3,93 | 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 | 4,29 | 4,21 | 4,15 | 4,10 | 11 | 4,06 | 4,02 | 3,99 | 3,96 | 3,94 | 3,89 | 3,86 | 3,83 | 3,81 | 3,78 | 3,73 | 3,71 | 3,66 | 3,62 | 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 | 4,05 | 3,97 | 3,91 | 3,86 | 12 | 3,82 | 3,78 | 3,75 | 3,72 | 3,70 | 3,65 | 3,62 | 3,59 | 3,57 | 3,54 | 3,49 | 3,47 | 3,41 | 3,38 | 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 | 3,86 | 3,78 | 3,72 | 3,66 | 13 | 3,62 | 3,59 | 3,56 | 3,53 | 3,51 | 3,46 | 3,43 | 3,40 | 3,38 | 3,34 | 3,30 | 3,27 | 3,22 | 3,19 | 3,17 |
14 | 8,86 | 6,51 | 5,56 | 5,04 | 4,69 | 4,46 | 4,28 | 4,14 | 4,03 | 3,94 | 3,80 | 3,70 | 3,62 | 3,56 | 3,51 | 14 | 3,46 | 3,43 | 3,40 | 3,37 | 3,35 | 3,30 | 3,27 | 3,24 | 3,22 | 3,18 | 3,14 | 3,11 | 3,06 | 3,03 | 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 | 3,56 | 3,49 | 3,42 | 3,37 | 15 | 3,33 | 3,29 | 3,26 | 3,24 | 3,21 | 3,17 | 3,13 | 3,10 | 3,08 | 3,05 | 3,00 | 2,98 | 2,92 | 2,89 | 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 | 3,45 | 3,37 | 3,31 | 3,26 | 16 | 3,22 | 3,18 | 3,15 | 3,12 | 3,10 | 3,05 | 3,02 | 2,99 | 2,97 | 2,93 | 2,89 | 2,86 | 2,81 | 2,78 | 2,75 |
17 | 8,40 | 6,11 | 5,18 | 4,67 | 4,34 | 4,10 | 3,93 | 3,79 | 3,68 | 3,59 | 3,46 | 3,35 | 3,27 | 3,21 | 3,16 | 17 | 3,12 | 3,08 | 3,05 | 3,03 | 3,00 | 2,96 | 2,92 | 2,89 | 2,87 | 2,83 | 2,79 | 2,76 | 2,71 | 2,68 | 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 | 3,27 | 3,19 | 3,13 | 3,08 | 18 | 3,03 | 3,00 | 2,97 | 2,94 | 2,92 | 2,87 | 2,84 | 2,81 | 2,78 | 2,75 | 2,70 | 2,68 | 2,62 | 2,59 | 2,57 |
19 | 8,18 | 5,93 | 5,01 | 4,50 | 4,17 | 3,94 | 3,77 | 3,63 | 3,52 | 3,43 | 3,30 | 3,19 | 3,12 | 3,05 | 3,00 | 19 | 2,96 | 2,92 | 2,89 | 2,87 | 2,84 | 2,80 | 2,76 | 2,73 | 2,71 | 2,67 | 2,63 | 2,60 | 2,55 | 2,51 | 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 | 3,13 | 3,05 | 2,99 | 2,94 | 20 | 2,90 | 2,86 | 2,83 | 2,80 | 2,78 | 2,73 | 2,69 | 2,67 | 2,64 | 2,61 | 2,56 | 2,54 | 2,48 | 2,44 | 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 | 3,07 | 2,99 | 2,93 | 2,88 | 21 | 2,84 | 2,80 | 2,77 | 2,74 | 2,72 | 2,67 | 2,64 | 2,61 | 2,58 | 2,55 | 2,50 | 2,48 | 2,42 | 2,38 | 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 | 3,02 | 2,94 | 2,88 | 2,83 | 22 | 2,78 | 2,75 | 2,72 | 2,69 | 2,67 | 2,62 | 2,58 | 2,55 | 2,53 | 2,50 | 2,45 | 2,42 | 2,36 | 2,33 | 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 | 2,97 | 2,89 | 2,83 | 2,78 | 23 | 2,74 | 2,70 | 2,67 | 2,64 | 2,62 | 2,57 | 2,54 | 2,51 | 2,48 | 2,45 | 2,40 | 2,37 | 2,32 | 2,28 | 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 | 2,93 | 2,85 | 2,79 | 2,74 | 24 | 2,70 | 2,66 | 2,63 | 2,60 | 2,58 | 2,53 | 2,49 | 2,46 | 2,44 | 2,40 | 2,36 | 2,33 | 2,27 | 2,24 | 2,21 |
25 | 7,77 | 5,57 | 4,68 | 4,18 | 3,85 | 3,63 | 3,46 | 3,32 | 3,22 | 3,13 | 2,99 | 2,89 | 2,81 | 2,75 | 2,70 | 25 | 2,66 | 2,62 | 2,59 | 2,56 | 2,54 | 2,49 | 2,45 | 2,42 | 2,40 | 2,36 | 2,32 | 2,29 | 2,23 | 2,19 | 2,17 |
26 | 7,72 | 5,53 | 4,64 | 4,14 | 3,82 | 3,59 | 3,42 | 3,29 | 3,18 | 3,09 | 2,96 | 2,86 | 2,78 | 2,72 | 2,66 | 26 | 2,62 | 2,58 | 2,55 | 2,53 | 2,50 | 2,45 | 2,42 | 2,39 | 2,36 | 2,33 | 2,28 | 2,25 | 2,19 | 2,16 | 2,13 |
27 | 7,68 | 5,49 | 4,60 | 4,11 | 3,78 | 3,56 | 3,39 | 3,26 | 3,15 | 3,06 | 2,93 | 2,82 | 2,75 | 2,68 | 2,63 | 27 | 2,59 | 2,55 | 2,52 | 2,49 | 2,47 | 2,42 | 2,38 | 2,35 | 2,33 | 2,29 | 2,25 | 2,22 | 2,16 | 2,12 | 2,10 |
28 | 7,64 | 5,45 | 4,57 | 4,07 | 3,75 | 3,53 | 3,36 | 3,23 | 3,12 | 3,03 | 2,90 | 2,79 | 2,72 | 2,65 | 2,60 | 28 | 2,56 | 2,52 | 2,49 | 2,46 | 2,44 | 2,39 | 2,35 | 2,32 | 2,30 | 2,26 | 2,22 | 2,19 | 2,13 | 2,09 | 2,06 |
29 | 7,60 | 5,42 | 4,54 | 4,04 | 3,73 | 3,50 | 3,33 | 3,20 | 3,09 | 3,00 | 2,87 | 2,77 | 2,69 | 2,63 | 2,57 | 29 | 2,53 | 2,49 | 2,46 | 2,44 | 2,41 | 2,36 | 2,33 | 2,30 | 2,27 | 2,23 | 2,19 | 2,16 | 2,10 | 2,06 | 2,03 |
30 | 7,56 | 5,39 | 4,51 | 4,02 | 3,70 | 3,47 | 3,30 | 3,17 | 3,07 | 2,98 | 2,84 | 2,74 | 2,66 | 2,60 | 2,55 | 30 | 2,51 | 2,47 | 2,44 | 2,41 | 2,39 | 2,34 | 2,30 | 2,27 | 2,25 | 2,21 | 2,16 | 2,13 | 2,07 | 2,03 | 2,01 |
32 | 7,50 | 5,34 | 4,46 | 3,97 | 3,65 | 3,43 | 3,26 | 3,13 | 3,02 | 2,93 | 2,80 | 2,70 | 2,62 | 2,55 | 2,50 | 32 | 2,46 | 2,42 | 2,39 | 2,36 | 2,34 | 2,29 | 2,25 | 2,22 | 2,20 | 2,16 | 2,11 | 2,08 | 2,02 | 1,98 | 1,96 |
34 | 7,44 | 5,29 | 4,42 | 3,93 | 3,61 | 3,39 | 3,22 | 3,09 | 2,98 | 2,89 | 2,76 | 2,66 | 2,58 | 2,51 | 2,46 | 34 | 2,42 | 2,38 | 2,35 | 2,32 | 2,30 | 2,25 | 2,21 | 2,18 | 2,16 | 2,12 | 2,07 | 2,04 | 1,98 | 1,94 | 1,91 |
36 | 7,40 | 5,25 | 4,38 | 3,89 | 3,57 | 3,35 | 3,18 | 3,05 | 2,95 | 2,86 | 2,72 | 2,62 | 2,54 | 2,48 | 2,43 | 36 | 2,38 | 2,35 | 2,32 | 2,29 | 2,26 | 2,21 | 2,18 | 2,14 | 2,12 | 2,08 | 2,03 | 2,00 | 1,94 | 1,90 | 1,87 |
38 | 7,35 | 5,21 | 4,34 | 3,86 | 3,54 | 3,32 | 3,15 | 3,02 | 2,92 | 2,83 | 2,69 | 2,59 | 2,51 | 2,45 | 2,40 | 38 | 2,35 | 2,32 | 2,28 | 2,26 | 2,23 | 2,18 | 2,14 | 2,11 | 2,09 | 2,05 | 2,00 | 1,97 | 1,90 | 1,86 | 1,84 |
40 | 7,31 | 5,18 | 4,31 | 3,83 | 3,51 | 3,29 | 3,12 | 2,99 | 2,89 | 2,80 | 2,66 | 2,56 | 2,48 | 2,42 | 2,37 | 40 | 2,33 | 2,29 | 2,26 | 2,23 | 2,20 | 2,15 | 2,11 | 2,08 | 2,06 | 2,02 | 1,97 | 1,94 | 1,87 | 1,83 | 1,80 |
42 | 7,28 | 5,15 | 4,29 | 3,80 | 3,49 | 3,27 | 3,10 | 2,97 | 2,86 | 2,78 | 2,64 | 2,54 | 2,46 | 2,40 | 2,34 | 42 | 2,30 | 2,26 | 2,23 | 2,20 | 2,18 | 2,13 | 2,09 | 2,06 | 2,03 | 1,99 | 1,94 | 1,91 | 1,85 | 1,80 | 1,78 |
44 | 7,25 | 5,12 | 4,26 | 3,78 | 3,47 | 3,24 | 3,08 | 2,95 | 2,84 | 2,75 | 2,62 | 2,52 | 2,44 | 2,37 | 2,32 | 44 | 2,28 | 2,24 | 2,21 | 2,18 | 2,15 | 2,10 | 2,07 | 2,03 | 2,01 | 1,97 | 1,92 | 1,89 | 1,82 | 1,78 | 1,75 |
46 | 7,22 | 5,10 | 4,24 | 3,76 | 3,44 | 3,22 | 3,06 | 2,93 | 2,82 | 2,73 | 2,60 | 2,50 | 2,42 | 2,35 | 2,30 | 46 | 2,26 | 2,22 | 2,19 | 2,16 | 2,13 | 2,08 | 2,04 | 2,01 | 1,99 | 1,95 | 1,90 | 1,86 | 1,80 | 1,76 | 1,73 |
48 | 7,19 | 5,08 | 4,22 | 3,74 | 3,43 | 3,20 | 3,04 | 2,91 | 2,80 | 2,71 | 2,58 | 2,48 | 2,40 | 2,33 | 2,28 | 48 | 2,24 | 2,20 | 2,17 | 2,14 | 2,12 | 2,06 | 2,02 | 1,99 | 1,97 | 1,93 | 1,88 | 1,84 | 1,78 | 1,73 | 1,70 |
50 | 7,17 | 5,06 | 4,20 | 3,72 | 3,41 | 3,19 | 3,02 | 2,89 | 2,78 | 2,70 | 2,56 | 2,46 | 2,38 | 2,32 | 2,27 | 50 | 2,22 | 2,18 | 2,15 | 2,12 | 2,10 | 2,05 | 2,01 | 1,97 | 1,95 | 1,91 | 1,86 | 1,82 | 1,76 | 1,71 | 1,68 |
60 | 7,08 | 4,98 | 4,13 | 3,65 | 3,34 | 3,12 | 2,95 | 2,82 | 2,72 | 2,63 | 2,50 | 2,39 | 2,31 | 2,25 | 2,20 | 60 | 2,15 | 2,12 | 2,08 | 2,05 | 2,03 | 1,98 | 1,94 | 1,90 | 1,88 | 1,84 | 1,78 | 1,75 | 1,68 | 1,63 | 1,60 |
80 | 6,96 | 4,88 | 4,04 | 3,56 | 3,26 | 3,04 | 2,87 | 2,74 | 2,64 | 2,55 | 2,42 | 2,31 | 2,23 | 2,17 | 2,12 | 80 | 2,07 | 2,03 | 2,00 | 1,97 | 1,94 | 1,89 | 1,85 | 1,82 | 1,79 | 1,75 | 1,69 | 1,65 | 1,58 | 1,53 | 1,49 |
100 | 6,90 | 4,82 | 3,98 | 3,51 | 3,21 | 2,99 | 2,82 | 2,69 | 2,59 | 2,50 | 2,37 | 2,27 | 2,19 | 2,12 | 2,07 | 100 | 2,02 | 1,98 | 1,95 | 1,92 | 1,89 | 1,84 | 1,80 | 1,76 | 1,74 | 1,69 | 1,63 | 1,60 | 1,52 | 1,47 | 1,43 |
125 | 6,84 | 4,78 | 3,94 | 3,47 | 3,17 | 2,95 | 2,79 | 2,66 | 2,55 | 2,47 | 2,33 | 2,23 | 2,15 | 2,08 | 2,03 | 125 | 1,98 | 1,94 | 1,91 | 1,88 | 1,85 | 1,80 | 1,76 | 1,72 | 1,69 | 1,65 | 1,59 | 1,55 | 1,47 | 1,41 | 1,37 |
150 | 6,81 | 4,75 | 3,91 | 3,45 | 3,14 | 2,92 | 2,76 | 2,63 | 2,53 | 2,44 | 2,31 | 2,20 | 2,12 | 2,06 | 2,00 | 150 | 1,96 | 1,92 | 1,88 | 1,85 | 1,83 | 1,77 | 1,73 | 1,69 | 1,66 | 1,62 | 1,56 | 1,52 | 1,43 | 1,38 | 1,33 |
200 | 6,76 | 4,71 | 3,88 | 3,41 | 3,11 | 2,89 | 2,73 | 2,60 | 2,50 | 2,41 | 2,27 | 2,17 | 2,09 | 2,03 | 1,97 | 200 | 1,93 | 1,89 | 1,85 | 1,82 | 1,79 | 1,74 | 1,69 | 1,66 | 1,63 | 1,58 | 1,52 | 1,48 | 1,39 | 1,33 | 1,28 |
300 | 6,72 | 4,68 | 3,85 | 3,38 | 3,08 | 2,86 | 2,70 | 2,57 | 2,47 | 2,38 | 2,24 | 2,14 | 2,06 | 1,99 | 1,94 | 300 | 1,89 | 1,85 | 1,82 | 1,79 | 1,76 | 1,70 | 1,66 | 1,62 | 1,59 | 1,55 | 1,48 | 1,44 | 1,35 | 1,28 | 1,22 |
500 | 6,69 | 4,65 | 3,82 | 3,36 | 3,05 | 2,84 | 2,68 | 2,55 | 2,44 | 2,36 | 2,22 | 2,12 | 2,04 | 1,97 | 1,92 | 500 | 1,87 | 1,83 | 1,79 | 1,76 | 1,74 | 1,68 | 1,63 | 1,60 | 1,57 | 1,52 | 1,45 | 1,41 | 1,31 | 1,23 | 1,16 |
1000 | 6,66 | 4,63 | 3,80 | 3,34 | 3,04 | 2,82 | 2,66 | 2,53 | 2,43 | 2,34 | 2,20 | 2,10 | 2,02 | 1,95 | 1,90 | 1000 | 1,85 | 1,81 | 1,77 | 1,74 | 1,72 | 1,66 | 1,61 | 1,58 | 1,54 | 1,50 | 1,43 | 1,38 | 1,28 | 1,19 | 1,11 |
100000 | 6,64 | 4,61 | 3,78 | 3,32 | 3,02 | 2,80 | 2,64 | 2,51 | 2,41 | 2,32 | 2,18 | 2,08 | 2,00 | 1,93 | 1,88 | 100000 | 1,83 | 1,79 | 1,76 | 1,72 | 1,70 | 1,64 | 1,59 | 1,55 | 1,52 | 1,47 | 1,40 | 1,36 | 1,25 | 1,15 | 1,01 |
alpha= | Rozkład Fishera-Snedecora dla alpha=0,05 | alpha= | Rozkład Fishera-Snedecora dla alpha=0,05 | ||||||||||||||||||||||||||||
0,05 | r_1 | 0,05 | r_1 | ||||||||||||||||||||||||||||
1 | 2 | 3 | 4 | 5 | 6 | 7 | 8 | 9 | 10 | 12 | 14 | 16 | 18 | 20 | 22 | 24 | 26 | 28 | 30 | 35 | 40 | 45 | 50 | 60 | 80 | 100 | 200 | 500 | 100000 | ||
r_2 | r_2 | ||||||||||||||||||||||||||||||
1 | 161,4 | 199,5 | 215,7 | 224,6 | 230,2 | 234,0 | 236,8 | 238,9 | 240,5 | 241,9 | 243,9 | 245,4 | 246,5 | 247,3 | 248,0 | 1 | 248,6 | 249,1 | 249,5 | 249,8 | 250,1 | 250,7 | 251,1 | 251,5 | 251,8 | 252,2 | 252,7 | 253,0 | 253,7 | 254,1 | 254,3 |
2 | 18,51 | 19,00 | 19,16 | 19,25 | 19,30 | 19,33 | 19,35 | 19,37 | 19,38 | 19,40 | 19,41 | 19,42 | 19,43 | 19,44 | 19,45 | 2 | 19,45 | 19,45 | 19,46 | 19,46 | 19,46 | 19,47 | 19,47 | 19,47 | 19,48 | 19,48 | 19,48 | 19,49 | 19,49 | 19,49 | 19,50 |
3 | 10,13 | 9,55 | 9,28 | 9,12 | 9,01 | 8,94 | 8,89 | 8,85 | 8,81 | 8,79 | 8,74 | 8,71 | 8,69 | 8,67 | 8,66 | 3 | 8,65 | 8,64 | 8,63 | 8,62 | 8,62 | 8,60 | 8,59 | 8,59 | 8,58 | 8,57 | 8,56 | 8,55 | 8,54 | 8,53 | 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 | 5,87 | 5,84 | 5,82 | 5,80 | 4 | 5,79 | 5,77 | 5,76 | 5,75 | 5,75 | 5,73 | 5,72 | 5,71 | 5,70 | 5,69 | 5,67 | 5,66 | 5,65 | 5,64 | 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 | 4,64 | 4,60 | 4,58 | 4,56 | 5 | 4,54 | 4,53 | 4,52 | 4,50 | 4,50 | 4,48 | 4,46 | 4,45 | 4,44 | 4,43 | 4,41 | 4,41 | 4,39 | 4,37 | 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 | 3,96 | 3,92 | 3,90 | 3,87 | 6 | 3,86 | 3,84 | 3,83 | 3,82 | 3,81 | 3,79 | 3,77 | 3,76 | 3,75 | 3,74 | 3,72 | 3,71 | 3,69 | 3,68 | 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 | 3,53 | 3,49 | 3,47 | 3,44 | 7 | 3,43 | 3,41 | 3,40 | 3,39 | 3,38 | 3,36 | 3,34 | 3,33 | 3,32 | 3,30 | 3,29 | 3,27 | 3,25 | 3,24 | 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 | 3,24 | 3,20 | 3,17 | 3,15 | 8 | 3,13 | 3,12 | 3,10 | 3,09 | 3,08 | 3,06 | 3,04 | 3,03 | 3,02 | 3,01 | 2,99 | 2,97 | 2,95 | 2,94 | 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 | 3,03 | 2,99 | 2,96 | 2,94 | 9 | 2,92 | 2,90 | 2,89 | 2,87 | 2,86 | 2,84 | 2,83 | 2,81 | 2,80 | 2,79 | 2,77 | 2,76 | 2,73 | 2,72 | 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 | 2,86 | 2,83 | 2,80 | 2,77 | 10 | 2,75 | 2,74 | 2,72 | 2,71 | 2,70 | 2,68 | 2,66 | 2,65 | 2,64 | 2,62 | 2,60 | 2,59 | 2,56 | 2,55 | 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 | 2,74 | 2,70 | 2,67 | 2,65 | 11 | 2,63 | 2,61 | 2,59 | 2,58 | 2,57 | 2,55 | 2,53 | 2,52 | 2,51 | 2,49 | 2,47 | 2,46 | 2,43 | 2,42 | 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 | 2,64 | 2,60 | 2,57 | 2,54 | 12 | 2,52 | 2,51 | 2,49 | 2,48 | 2,47 | 2,44 | 2,43 | 2,41 | 2,40 | 2,38 | 2,36 | 2,35 | 2,32 | 2,31 | 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 | 2,55 | 2,51 | 2,48 | 2,46 | 13 | 2,44 | 2,42 | 2,41 | 2,39 | 2,38 | 2,36 | 2,34 | 2,33 | 2,31 | 2,30 | 2,27 | 2,26 | 2,23 | 2,22 | 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 | 2,48 | 2,44 | 2,41 | 2,39 | 14 | 2,37 | 2,35 | 2,33 | 2,32 | 2,31 | 2,28 | 2,27 | 2,25 | 2,24 | 2,22 | 2,20 | 2,19 | 2,16 | 2,14 | 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 | 2,42 | 2,38 | 2,35 | 2,33 | 15 | 2,31 | 2,29 | 2,27 | 2,26 | 2,25 | 2,22 | 2,20 | 2,19 | 2,18 | 2,16 | 2,14 | 2,12 | 2,10 | 2,08 | 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 | 2,37 | 2,33 | 2,30 | 2,28 | 16 | 2,25 | 2,24 | 2,22 | 2,21 | 2,19 | 2,17 | 2,15 | 2,14 | 2,12 | 2,11 | 2,08 | 2,07 | 2,04 | 2,02 | 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 | 2,33 | 2,29 | 2,26 | 2,23 | 17 | 2,21 | 2,19 | 2,17 | 2,16 | 2,15 | 2,12 | 2,10 | 2,09 | 2,08 | 2,06 | 2,03 | 2,02 | 1,99 | 1,97 | 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 | 2,29 | 2,25 | 2,22 | 2,19 | 18 | 2,17 | 2,15 | 2,13 | 2,12 | 2,11 | 2,08 | 2,06 | 2,05 | 2,04 | 2,02 | 1,99 | 1,98 | 1,95 | 1,93 | 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 | 2,26 | 2,21 | 2,18 | 2,16 | 19 | 2,13 | 2,11 | 2,10 | 2,08 | 2,07 | 2,05 | 2,03 | 2,01 | 2,00 | 1,98 | 1,96 | 1,94 | 1,91 | 1,89 | 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 | 2,22 | 2,18 | 2,15 | 2,12 | 20 | 2,10 | 2,08 | 2,07 | 2,05 | 2,04 | 2,01 | 1,99 | 1,98 | 1,97 | 1,95 | 1,92 | 1,91 | 1,88 | 1,86 | 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 | 2,20 | 2,16 | 2,12 | 2,10 | 21 | 2,07 | 2,05 | 2,04 | 2,02 | 2,01 | 1,98 | 1,96 | 1,95 | 1,94 | 1,92 | 1,89 | 1,88 | 1,84 | 1,83 | 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 | 2,17 | 2,13 | 2,10 | 2,07 | 22 | 2,05 | 2,03 | 2,01 | 2,00 | 1,98 | 1,96 | 1,94 | 1,92 | 1,91 | 1,89 | 1,86 | 1,85 | 1,82 | 1,80 | 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 | 2,15 | 2,11 | 2,08 | 2,05 | 23 | 2,02 | 2,01 | 1,99 | 1,97 | 1,96 | 1,93 | 1,91 | 1,90 | 1,88 | 1,86 | 1,84 | 1,82 | 1,79 | 1,77 | 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 | 2,13 | 2,09 | 2,05 | 2,03 | 24 | 2,00 | 1,98 | 1,97 | 1,95 | 1,94 | 1,91 | 1,89 | 1,88 | 1,86 | 1,84 | 1,82 | 1,80 | 1,77 | 1,75 | 1,73 |
25 | 4,24 | 3,39 | 2,99 | 2,76 | 2,60 | 2,49 | 2,40 | 2,34 | 2,28 | 2,24 | 2,16 | 2,11 | 2,07 | 2,04 | 2,01 | 25 | 1,98 | 1,96 | 1,95 | 1,93 | 1,92 | 1,89 | 1,87 | 1,86 | 1,84 | 1,82 | 1,80 | 1,78 | 1,75 | 1,73 | 1,71 |
26 | 4,23 | 3,37 | 2,98 | 2,74 | 2,59 | 2,47 | 2,39 | 2,32 | 2,27 | 2,22 | 2,15 | 2,09 | 2,05 | 2,02 | 1,99 | 26 | 1,97 | 1,95 | 1,93 | 1,91 | 1,90 | 1,87 | 1,85 | 1,84 | 1,82 | 1,80 | 1,78 | 1,76 | 1,73 | 1,71 | 1,69 |
27 | 4,21 | 3,35 | 2,96 | 2,73 | 2,57 | 2,46 | 2,37 | 2,31 | 2,25 | 2,20 | 2,13 | 2,08 | 2,04 | 2,00 | 1,97 | 27 | 1,95 | 1,93 | 1,91 | 1,90 | 1,88 | 1,86 | 1,84 | 1,82 | 1,81 | 1,79 | 1,76 | 1,74 | 1,71 | 1,69 | 1,67 |
28 | 4,20 | 3,34 | 2,95 | 2,71 | 2,56 | 2,45 | 2,36 | 2,29 | 2,24 | 2,19 | 2,12 | 2,06 | 2,02 | 1,99 | 1,96 | 28 | 1,93 | 1,91 | 1,90 | 1,88 | 1,87 | 1,84 | 1,82 | 1,80 | 1,79 | 1,77 | 1,74 | 1,73 | 1,69 | 1,67 | 1,65 |
29 | 4,18 | 3,33 | 2,93 | 2,70 | 2,55 | 2,43 | 2,35 | 2,28 | 2,22 | 2,18 | 2,10 | 2,05 | 2,01 | 1,97 | 1,94 | 29 | 1,92 | 1,90 | 1,88 | 1,87 | 1,85 | 1,83 | 1,81 | 1,79 | 1,77 | 1,75 | 1,73 | 1,71 | 1,67 | 1,65 | 1,64 |
30 | 4,17 | 3,32 | 2,92 | 2,69 | 2,53 | 2,42 | 2,33 | 2,27 | 2,21 | 2,16 | 2,09 | 2,04 | 1,99 | 1,96 | 1,93 | 30 | 1,91 | 1,89 | 1,87 | 1,85 | 1,84 | 1,81 | 1,79 | 1,77 | 1,76 | 1,74 | 1,71 | 1,70 | 1,66 | 1,64 | 1,62 |
32 | 4,15 | 3,29 | 2,90 | 2,67 | 2,51 | 2,40 | 2,31 | 2,24 | 2,19 | 2,14 | 2,07 | 2,01 | 1,97 | 1,94 | 1,91 | 32 | 1,88 | 1,86 | 1,85 | 1,83 | 1,82 | 1,79 | 1,77 | 1,75 | 1,74 | 1,71 | 1,69 | 1,67 | 1,63 | 1,61 | 1,59 |
34 | 4,13 | 3,28 | 2,88 | 2,65 | 2,49 | 2,38 | 2,29 | 2,23 | 2,17 | 2,12 | 2,05 | 1,99 | 1,95 | 1,92 | 1,89 | 34 | 1,86 | 1,84 | 1,82 | 1,81 | 1,80 | 1,77 | 1,75 | 1,73 | 1,71 | 1,69 | 1,66 | 1,65 | 1,61 | 1,59 | 1,57 |
36 | 4,11 | 3,26 | 2,87 | 2,63 | 2,48 | 2,36 | 2,28 | 2,21 | 2,15 | 2,11 | 2,03 | 1,98 | 1,93 | 1,90 | 1,87 | 36 | 1,85 | 1,82 | 1,81 | 1,79 | 1,78 | 1,75 | 1,73 | 1,71 | 1,69 | 1,67 | 1,64 | 1,62 | 1,59 | 1,56 | 1,55 |
38 | 4,10 | 3,24 | 2,85 | 2,62 | 2,46 | 2,35 | 2,26 | 2,19 | 2,14 | 2,09 | 2,02 | 1,96 | 1,92 | 1,88 | 1,85 | 38 | 1,83 | 1,81 | 1,79 | 1,77 | 1,76 | 1,73 | 1,71 | 1,69 | 1,68 | 1,65 | 1,62 | 1,61 | 1,57 | 1,54 | 1,53 |
40 | 4,08 | 3,23 | 2,84 | 2,61 | 2,45 | 2,34 | 2,25 | 2,18 | 2,12 | 2,08 | 2,00 | 1,95 | 1,90 | 1,87 | 1,84 | 40 | 1,81 | 1,79 | 1,77 | 1,76 | 1,74 | 1,72 | 1,69 | 1,67 | 1,66 | 1,64 | 1,61 | 1,59 | 1,55 | 1,53 | 1,51 |
42 | 4,07 | 3,22 | 2,83 | 2,59 | 2,44 | 2,32 | 2,24 | 2,17 | 2,11 | 2,06 | 1,99 | 1,94 | 1,89 | 1,86 | 1,83 | 42 | 1,80 | 1,78 | 1,76 | 1,75 | 1,73 | 1,70 | 1,68 | 1,66 | 1,65 | 1,62 | 1,59 | 1,57 | 1,53 | 1,51 | 1,49 |
44 | 4,06 | 3,21 | 2,82 | 2,58 | 2,43 | 2,31 | 2,23 | 2,16 | 2,10 | 2,05 | 1,98 | 1,92 | 1,88 | 1,84 | 1,81 | 44 | 1,79 | 1,77 | 1,75 | 1,73 | 1,72 | 1,69 | 1,67 | 1,65 | 1,63 | 1,61 | 1,58 | 1,56 | 1,52 | 1,49 | 1,48 |
46 | 4,05 | 3,20 | 2,81 | 2,57 | 2,42 | 2,30 | 2,22 | 2,15 | 2,09 | 2,04 | 1,97 | 1,91 | 1,87 | 1,83 | 1,80 | 46 | 1,78 | 1,76 | 1,74 | 1,72 | 1,71 | 1,68 | 1,65 | 1,64 | 1,62 | 1,60 | 1,57 | 1,55 | 1,51 | 1,48 | 1,46 |
48 | 4,04 | 3,19 | 2,80 | 2,57 | 2,41 | 2,29 | 2,21 | 2,14 | 2,08 | 2,03 | 1,96 | 1,90 | 1,86 | 1,82 | 1,79 | 48 | 1,77 | 1,75 | 1,73 | 1,71 | 1,70 | 1,67 | 1,64 | 1,62 | 1,61 | 1,59 | 1,56 | 1,54 | 1,49 | 1,47 | 1,45 |
50 | 4,03 | 3,18 | 2,79 | 2,56 | 2,40 | 2,29 | 2,20 | 2,13 | 2,07 | 2,03 | 1,95 | 1,89 | 1,85 | 1,81 | 1,78 | 50 | 1,76 | 1,74 | 1,72 | 1,70 | 1,69 | 1,66 | 1,63 | 1,61 | 1,60 | 1,58 | 1,54 | 1,52 | 1,48 | 1,46 | 1,44 |
60 | 4,00 | 3,15 | 2,76 | 2,53 | 2,37 | 2,25 | 2,17 | 2,10 | 2,04 | 1,99 | 1,92 | 1,86 | 1,82 | 1,78 | 1,75 | 60 | 1,72 | 1,70 | 1,68 | 1,66 | 1,65 | 1,62 | 1,59 | 1,57 | 1,56 | 1,53 | 1,50 | 1,48 | 1,44 | 1,41 | 1,39 |
80 | 3,96 | 3,11 | 2,72 | 2,49 | 2,33 | 2,21 | 2,13 | 2,06 | 2,00 | 1,95 | 1,88 | 1,82 | 1,77 | 1,73 | 1,70 | 80 | 1,68 | 1,65 | 1,63 | 1,62 | 1,60 | 1,57 | 1,54 | 1,52 | 1,51 | 1,48 | 1,45 | 1,43 | 1,38 | 1,35 | 1,32 |
100 | 3,94 | 3,09 | 2,70 | 2,46 | 2,31 | 2,19 | 2,10 | 2,03 | 1,97 | 1,93 | 1,85 | 1,79 | 1,75 | 1,71 | 1,68 | 100 | 1,65 | 1,63 | 1,61 | 1,59 | 1,57 | 1,54 | 1,52 | 1,49 | 1,48 | 1,45 | 1,41 | 1,39 | 1,34 | 1,31 | 1,28 |
125 | 3,92 | 3,07 | 2,68 | 2,44 | 2,29 | 2,17 | 2,08 | 2,01 | 1,96 | 1,91 | 1,83 | 1,77 | 1,73 | 1,69 | 1,66 | 125 | 1,63 | 1,60 | 1,58 | 1,57 | 1,55 | 1,52 | 1,49 | 1,47 | 1,45 | 1,42 | 1,39 | 1,36 | 1,31 | 1,27 | 1,25 |
150 | 3,90 | 3,06 | 2,66 | 2,43 | 2,27 | 2,16 | 2,07 | 2,00 | 1,94 | 1,89 | 1,82 | 1,76 | 1,71 | 1,67 | 1,64 | 150 | 1,61 | 1,59 | 1,57 | 1,55 | 1,54 | 1,50 | 1,48 | 1,45 | 1,44 | 1,41 | 1,37 | 1,34 | 1,29 | 1,25 | 1,22 |
200 | 3,89 | 3,04 | 2,65 | 2,42 | 2,26 | 2,14 | 2,06 | 1,98 | 1,93 | 1,88 | 1,80 | 1,74 | 1,69 | 1,66 | 1,62 | 200 | 1,60 | 1,57 | 1,55 | 1,53 | 1,52 | 1,48 | 1,46 | 1,43 | 1,41 | 1,39 | 1,35 | 1,32 | 1,26 | 1,22 | 1,19 |
300 | 3,87 | 3,03 | 2,63 | 2,40 | 2,24 | 2,13 | 2,04 | 1,97 | 1,91 | 1,86 | 1,78 | 1,72 | 1,68 | 1,64 | 1,61 | 300 | 1,58 | 1,55 | 1,53 | 1,51 | 1,50 | 1,46 | 1,43 | 1,41 | 1,39 | 1,36 | 1,32 | 1,30 | 1,23 | 1,19 | 1,15 |
500 | 3,86 | 3,01 | 2,62 | 2,39 | 2,23 | 2,12 | 2,03 | 1,96 | 1,90 | 1,85 | 1,77 | 1,71 | 1,66 | 1,62 | 1,59 | 500 | 1,56 | 1,54 | 1,52 | 1,50 | 1,48 | 1,45 | 1,42 | 1,40 | 1,38 | 1,35 | 1,30 | 1,28 | 1,21 | 1,16 | 1,11 |
1000 | 3,85 | 3,00 | 2,61 | 2,38 | 2,22 | 2,11 | 2,02 | 1,95 | 1,89 | 1,84 | 1,76 | 1,70 | 1,65 | 1,61 | 1,58 | 1000 | 1,55 | 1,53 | 1,51 | 1,49 | 1,47 | 1,43 | 1,41 | 1,38 | 1,36 | 1,33 | 1,29 | 1,26 | 1,19 | 1,13 | 1,08 |
100000 | 3,84 | 3,00 | 2,60 | 2,37 | 2,21 | 2,10 | 2,01 | 1,94 | 1,88 | 1,83 | 1,75 | 1,69 | 1,64 | 1,60 | 1,57 | 100000 | 1,54 | 1,52 | 1,50 | 1,48 | 1,46 | 1,42 | 1,39 | 1,37 | 1,35 | 1,32 | 1,27 | 1,24 | 1,17 | 1,11 | 1,01 |
Ten arkusz służy jedynie ilustracji pewnej własności rozkładu t Studenta | ||||||||||||
Skrócona tabelka rozkładu t Studenta | ||||||||||||
Dla danej ilości r stopni swobody i liczby a tabela podaje wartość ta taką, że | ||||||||||||
P(|T|>ta)=a, gdzie T jest zmienną losową o rozkładzie t Studenta o r stopniach swobody | ||||||||||||
a= | 0,8 | 0,7 | 0,6 | 0,5 | 0,4 | 0,3 | 0,2 | 0,1 | 0,05 | 0,04 | 0,02 | 0,01 |
r= | ||||||||||||
1 | 0,325 | 0,510 | 0,727 | 1,000 | 1,376 | 1,963 | 3,078 | 6,314 | 12,706 | 15,895 | 31,821 | 63,657 |
2 | 0,289 | 0,445 | 0,617 | 0,816 | 1,061 | 1,386 | 1,886 | 2,920 | 4,303 | 4,849 | 6,965 | 9,925 |
3 | 0,277 | 0,424 | 0,584 | 0,765 | 0,978 | 1,250 | 1,638 | 2,353 | 3,182 | 3,482 | 4,541 | 5,841 |
4 | 0,271 | 0,414 | 0,569 | 0,741 | 0,941 | 1,190 | 1,533 | 2,132 | 2,776 | 2,999 | 3,747 | 4,604 |
5 | 0,267 | 0,408 | 0,559 | 0,727 | 0,920 | 1,156 | 1,476 | 2,015 | 2,571 | 2,757 | 3,365 | 4,032 |
6 | 0,265 | 0,404 | 0,553 | 0,718 | 0,906 | 1,134 | 1,440 | 1,943 | 2,447 | 2,612 | 3,143 | 3,707 |
7 | 0,263 | 0,402 | 0,549 | 0,711 | 0,896 | 1,119 | 1,415 | 1,895 | 2,365 | 2,517 | 2,998 | 3,499 |
8 | 0,262 | 0,399 | 0,546 | 0,706 | 0,889 | 1,108 | 1,397 | 1,860 | 2,306 | 2,449 | 2,896 | 3,355 |
9 | 0,261 | 0,398 | 0,543 | 0,703 | 0,883 | 1,100 | 1,383 | 1,833 | 2,262 | 2,398 | 2,821 | 3,250 |
10 | 0,260 | 0,397 | 0,542 | 0,700 | 0,879 | 1,093 | 1,372 | 1,812 | 2,228 | 2,359 | 2,764 | 3,169 |
16 | 0,258 | 0,392 | 0,535 | 0,690 | 0,865 | 1,071 | 1,337 | 1,746 | 2,120 | 2,235 | 2,583 | 2,921 |
25 | 0,256 | 0,390 | 0,531 | 0,684 | 0,856 | 1,058 | 1,316 | 1,708 | 2,060 | 2,167 | 2,485 | 2,787 |
30 | 0,256 | 0,389 | 0,530 | 0,683 | 0,854 | 1,055 | 1,310 | 1,697 | 2,042 | 2,147 | 2,457 | 2,750 |
35 | 0,255 | 0,388 | 0,529 | 0,682 | 0,852 | 1,052 | 1,306 | 1,690 | 2,030 | 2,133 | 2,438 | 2,724 |
40 | 0,255 | 0,388 | 0,529 | 0,681 | 0,851 | 1,050 | 1,303 | 1,684 | 2,021 | 2,123 | 2,423 | 2,704 |
50 | 0,255 | 0,388 | 0,528 | 0,679 | 0,849 | 1,047 | 1,299 | 1,676 | 2,009 | 2,109 | 2,403 | 2,678 |
60 | 0,254 | 0,387 | 0,527 | 0,679 | 0,848 | 1,045 | 1,296 | 1,671 | 2,000 | 2,099 | 2,390 | 2,660 |
70 | 0,254 | 0,387 | 0,527 | 0,678 | 0,847 | 1,044 | 1,294 | 1,667 | 1,994 | 2,093 | 2,381 | 2,648 |
80 | 0,254 | 0,387 | 0,526 | 0,678 | 0,846 | 1,043 | 1,292 | 1,664 | 1,990 | 2,088 | 2,374 | 2,639 |
100 | 0,254 | 0,386 | 0,526 | 0,677 | 0,845 | 1,042 | 1,290 | 1,660 | 1,984 | 2,081 | 2,364 | 2,626 |
120 | 0,254 | 0,386 | 0,526 | 0,677 | 0,845 | 1,041 | 1,289 | 1,658 | 1,980 | 2,076 | 2,358 | 2,617 |
150 | 0,254 | 0,386 | 0,526 | 0,676 | 0,844 | 1,040 | 1,287 | 1,655 | 1,976 | 2,072 | 2,351 | 2,609 |
200 | 0,254 | 0,386 | 0,525 | 0,676 | 0,843 | 1,039 | 1,286 | 1,653 | 1,972 | 2,067 | 2,345 | 2,601 |
250 | 0,254 | 0,386 | 0,525 | 0,675 | 0,843 | 1,039 | 1,285 | 1,651 | 1,969 | 2,065 | 2,341 | 2,596 |
500 | 0,253 | 0,386 | 0,525 | 0,675 | 0,842 | 1,038 | 1,283 | 1,648 | 1,965 | 2,059 | 2,334 | 2,586 |
1000 | 0,253 | 0,385 | 0,525 | 0,675 | 0,842 | 1,037 | 1,282 | 1,646 | 1,962 | 2,056 | 2,330 | 2,581 |
2000 | 0,253 | 0,385 | 0,524 | 0,675 | 0,842 | 1,037 | 1,282 | 1,646 | 1,961 | 2,055 | 2,328 | 2,578 |
10000 | 0,253 | 0,385 | 0,524 | 0,675 | 0,842 | 1,036 | 1,282 | 1,645 | 1,960 | 2,054 | 2,327 | 2,576 |
0,253 | 0,385 | 0,524 | 0,675 | 0,842 | 1,036 | 1,282 | 1,645 | 1,960 | 2,054 | 2,327 | 2,576 | |
Powyższe ilustruje, jak rozkład t Studenta dąży do rozkładu normalnego | ||||||||||||
Skrócona tabelka rozkładu chi kwadrat | ||||||||||||
Dla danej ilości r stopni swobody i liczby a tabela podaje wartość (ca)^2 taką, że | ||||||||||||
P(c2>ca2)=a, gdzie c2 jest zmienną o rozkładzie chi kwadrat o r stopniach swobody | ||||||||||||
a= | 0,99 | 0,98 | 0,95 | 0,90 | 0,80 | 0,20 | 0,10 | 0,05 | 0,02 | 0,01 | 0,001 | |
r= | ||||||||||||
1 | 0,000157 | 0,000628 | 0,00393 | 0,0158 | 0,0642 | 1,642 | 2,706 | 3,841 | 5,412 | 6,635 | 10,828 | |
2 | 0,0201 | 0,0404 | 0,103 | 0,211 | 0,446 | 3,219 | 4,605 | 5,991 | 7,824 | 9,210 | 13,816 | |
3 | 0,115 | 0,185 | 0,352 | 0,584 | 1,005 | 4,642 | 6,251 | 7,815 | 9,837 | 11,345 | 16,266 | |
4 | 0,297 | 0,429 | 0,711 | 1,064 | 1,649 | 5,989 | 7,779 | 9,488 | 11,668 | 13,277 | 18,467 | |
5 | 0,554 | 0,752 | 1,145 | 1,610 | 2,343 | 7,289 | 9,236 | 11,070 | 13,388 | 15,086 | 20,515 | |
6 | 0,872 | 1,134 | 1,635 | 2,204 | 3,070 | 8,558 | 10,645 | 12,592 | 15,033 | 16,812 | 22,458 | |
7 | 1,239 | 1,564 | 2,167 | 2,833 | 3,822 | 9,803 | 12,017 | 14,067 | 16,622 | 18,475 | 24,322 | |
8 | 1,646 | 2,032 | 2,733 | 3,490 | 4,594 | 11,030 | 13,362 | 15,507 | 18,168 | 20,090 | 26,124 | |
9 | 2,088 | 2,532 | 3,325 | 4,168 | 5,380 | 12,242 | 14,684 | 16,919 | 19,679 | 21,666 | 27,877 | |
10 | 2,558 | 3,059 | 3,940 | 4,865 | 6,179 | 13,442 | 15,987 | 18,307 | 21,161 | 23,209 | 29,588 | |
11 | 3,053 | 3,609 | 4,575 | 5,578 | 6,989 | 14,631 | 17,275 | 19,675 | 22,618 | 24,725 | 31,264 | |
12 | 3,571 | 4,178 | 5,226 | 6,304 | 7,807 | 15,812 | 18,549 | 21,026 | 24,054 | 26,217 | 32,909 | |
13 | 4,107 | 4,765 | 5,892 | 7,042 | 8,634 | 16,985 | 19,812 | 22,362 | 25,472 | 27,688 | 34,528 | |
14 | 4,660 | 5,368 | 6,571 | 7,790 | 9,467 | 18,151 | 21,064 | 23,685 | 26,873 | 29,141 | 36,123 | |
15 | 5,229 | 5,985 | 7,261 | 8,547 | 10,307 | 19,311 | 22,307 | 24,996 | 28,259 | 30,578 | 37,697 | |
16 | 5,812 | 6,614 | 7,962 | 9,312 | 11,152 | 20,465 | 23,542 | 26,296 | 29,633 | 32,000 | 39,252 | |
17 | 6,408 | 7,255 | 8,672 | 10,085 | 12,002 | 21,615 | 24,769 | 27,587 | 30,995 | 33,409 | 40,790 | |
18 | 7,015 | 7,906 | 9,390 | 10,865 | 12,857 | 22,760 | 25,989 | 28,869 | 32,346 | 34,805 | 42,312 | |
19 | 7,633 | 8,567 | 10,117 | 11,651 | 13,716 | 23,900 | 27,204 | 30,144 | 33,687 | 36,191 | 43,820 | |
20 | 8,260 | 9,237 | 10,851 | 12,443 | 14,578 | 25,038 | 28,412 | 31,410 | 35,020 | 37,566 | 45,315 | |
21 | 8,897 | 9,915 | 11,591 | 13,240 | 15,445 | 26,171 | 29,615 | 32,671 | 36,343 | 38,932 | 46,797 | |
22 | 9,542 | 10,600 | 12,338 | 14,041 | 16,314 | 27,301 | 30,813 | 33,924 | 37,659 | 40,289 | 48,268 | |
23 | 10,196 | 11,293 | 13,091 | 14,848 | 17,187 | 28,429 | 32,007 | 35,172 | 38,968 | 41,638 | 49,728 | |
24 | 10,856 | 11,992 | 13,848 | 15,659 | 18,062 | 29,553 | 33,196 | 36,415 | 40,270 | 42,980 | 51,179 | |
25 | 11,524 | 12,697 | 14,611 | 16,473 | 18,940 | 30,675 | 34,382 | 37,652 | 41,566 | 44,314 | 52,620 | |
26 | 12,198 | 13,409 | 15,379 | 17,292 | 19,820 | 31,795 | 35,563 | 38,885 | 42,856 | 45,642 | 54,052 | |
27 | 12,879 | 14,125 | 16,151 | 18,114 | 20,703 | 32,912 | 36,741 | 40,113 | 44,140 | 46,963 | 55,476 | |
28 | 13,565 | 14,847 | 16,928 | 18,939 | 21,588 | 34,027 | 37,916 | 41,337 | 45,419 | 48,278 | 56,892 | |
29 | 14,256 | 15,574 | 17,708 | 19,768 | 22,475 | 35,139 | 39,087 | 42,557 | 46,693 | 49,588 | 58,301 | |
30 | 14,953 | 16,306 | 18,493 | 20,599 | 23,364 | 36,250 | 40,256 | 43,773 | 47,962 | 50,892 | 59,703 | |
31 | 15,655 | 17,042 | 19,281 | 21,434 | 24,255 | 37,359 | 41,422 | 44,985 | 49,226 | 52,191 | 61,098 | |
32 | 16,362 | 17,783 | 20,072 | 22,271 | 25,148 | 38,466 | 42,585 | 46,194 | 50,487 | 53,486 | 62,487 | |
33 | 17,074 | 18,527 | 20,867 | 23,110 | 26,042 | 39,572 | 43,745 | 47,400 | 51,743 | 54,776 | 63,870 | |
34 | 17,789 | 19,275 | 21,664 | 23,952 | 26,938 | 40,676 | 44,903 | 48,602 | 52,995 | 56,061 | 65,247 | |
35 | 18,509 | 20,027 | 22,465 | 24,797 | 27,836 | 41,778 | 46,059 | 49,802 | 54,244 | 57,342 | 66,619 | |
36 | 19,233 | 20,783 | 23,269 | 25,643 | 28,735 | 42,879 | 47,212 | 50,998 | 55,489 | 58,619 | 67,985 | |
37 | 19,960 | 21,542 | 24,075 | 26,492 | 29,635 | 43,978 | 48,363 | 52,192 | 56,730 | 59,893 | 69,346 | |
38 | 20,691 | 22,304 | 24,884 | 27,343 | 30,537 | 45,076 | 49,513 | 53,384 | 57,969 | 61,162 | 70,703 | |
39 | 21,426 | 23,069 | 25,695 | 28,196 | 31,441 | 46,173 | 50,660 | 54,572 | 59,204 | 62,428 | 72,055 | |
40 | 22,164 | 23,838 | 26,509 | 29,051 | 32,345 | 47,269 | 51,805 | 55,758 | 60,436 | 63,691 | 73,402 | |
41 | 22,906 | 24,609 | 27,326 | 29,907 | 33,251 | 48,363 | 52,949 | 56,942 | 61,665 | 64,950 | 74,745 | |
42 | 23,650 | 25,383 | 28,144 | 30,765 | 34,157 | 49,456 | 54,090 | 58,124 | 62,892 | 66,206 | 76,084 | |
43 | 24,398 | 26,159 | 28,965 | 31,625 | 35,065 | 50,548 | 55,230 | 59,304 | 64,116 | 67,459 | 77,419 | |
44 | 25,148 | 26,939 | 29,787 | 32,487 | 35,974 | 51,639 | 56,369 | 60,481 | 65,337 | 68,710 | 78,750 | |
45 | 25,901 | 27,720 | 30,612 | 33,350 | 36,884 | 52,729 | 57,505 | 61,656 | 66,555 | 69,957 | 80,077 | |
46 | 26,657 | 28,505 | 31,439 | 34,215 | 37,795 | 53,818 | 58,641 | 62,830 | 67,771 | 71,201 | 81,400 | |
47 | 27,416 | 29,291 | 32,268 | 35,081 | 38,708 | 54,906 | 59,774 | 64,001 | 68,985 | 72,443 | 82,720 | |
48 | 28,177 | 30,080 | 33,098 | 35,949 | 39,621 | 55,993 | 60,907 | 65,171 | 70,197 | 73,683 | 84,037 | |
49 | 28,941 | 30,871 | 33,930 | 36,818 | 40,534 | 57,079 | 62,038 | 66,339 | 71,406 | 74,919 | 85,351 | |
50 | 29,707 | 31,664 | 34,764 | 37,689 | 41,449 | 58,164 | 63,167 | 67,505 | 72,613 | 76,154 | 86,661 | |
51 | 30,475 | 32,459 | 35,600 | 38,560 | 42,365 | 59,248 | 64,295 | 68,669 | 73,818 | 77,386 | 87,968 | |
52 | 31,246 | 33,256 | 36,437 | 39,433 | 43,281 | 60,332 | 65,422 | 69,832 | 75,021 | 78,616 | 89,272 | |
53 | 32,018 | 34,055 | 37,276 | 40,308 | 44,199 | 61,414 | 66,548 | 70,993 | 76,223 | 79,843 | 90,573 | |
54 | 32,793 | 34,856 | 38,116 | 41,183 | 45,117 | 62,496 | 67,673 | 72,153 | 77,422 | 81,069 | 91,872 | |
55 | 33,570 | 35,659 | 38,958 | 42,060 | 46,036 | 63,577 | 68,796 | 73,311 | 78,619 | 82,292 | 93,168 | |
56 | 34,350 | 36,464 | 39,801 | 42,937 | 46,955 | 64,658 | 69,919 | 74,468 | 79,815 | 83,513 | 94,461 | |
57 | 35,131 | 37,270 | 40,646 | 43,816 | 47,876 | 65,737 | 71,040 | 75,624 | 81,009 | 84,733 | 95,751 | |
58 | 35,913 | 38,078 | 41,492 | 44,696 | 48,797 | 66,816 | 72,160 | 76,778 | 82,201 | 85,950 | 97,039 | |
59 | 36,698 | 38,888 | 42,339 | 45,577 | 49,718 | 67,894 | 73,279 | 77,931 | 83,391 | 87,166 | 98,324 | |
60 | 37,485 | 39,699 | 43,188 | 46,459 | 50,641 | 68,972 | 74,397 | 79,082 | 84,580 | 88,379 | 99,607 | |
61 | 38,273 | 40,512 | 44,038 | 47,342 | 51,564 | 70,049 | 75,514 | 80,232 | 85,767 | 89,591 | 100,888 | |
62 | 39,063 | 41,327 | 44,889 | 48,226 | 52,487 | 71,125 | 76,630 | 81,381 | 86,953 | 90,802 | 102,166 | |
63 | 39,855 | 42,143 | 45,741 | 49,111 | 53,412 | 72,201 | 77,745 | 82,529 | 88,137 | 92,010 | 103,442 | |
64 | 40,649 | 42,960 | 46,595 | 49,996 | 54,336 | 73,276 | 78,860 | 83,675 | 89,320 | 93,217 | 104,716 | |
65 | 41,444 | 43,779 | 47,450 | 50,883 | 55,262 | 74,351 | 79,973 | 84,821 | 90,501 | 94,422 | 105,988 | |
66 | 42,240 | 44,599 | 48,305 | 51,770 | 56,188 | 75,424 | 81,085 | 85,965 | 91,681 | 95,626 | 107,258 | |
67 | 43,038 | 45,421 | 49,162 | 52,659 | 57,115 | 76,498 | 82,197 | 87,108 | 92,860 | 96,828 | 108,526 | |
68 | 43,838 | 46,244 | 50,020 | 53,548 | 58,042 | 77,571 | 83,308 | 88,250 | 94,037 | 98,028 | 109,791 | |
69 | 44,639 | 47,068 | 50,879 | 54,438 | 58,970 | 78,643 | 84,418 | 89,391 | 95,213 | 99,228 | 111,055 | |
70 | 45,442 | 47,893 | 51,739 | 55,329 | 59,898 | 79,715 | 85,527 | 90,531 | 96,388 | 100,425 | 112,317 | |
71 | 46,246 | 48,720 | 52,600 | 56,221 | 60,827 | 80,786 | 86,635 | 91,670 | 97,561 | 101,621 | 113,577 | |
72 | 47,051 | 49,548 | 53,462 | 57,113 | 61,756 | 81,857 | 87,743 | 92,808 | 98,733 | 102,816 | 114,835 | |
73 | 47,858 | 50,377 | 54,325 | 58,006 | 62,686 | 82,927 | 88,850 | 93,945 | 99,904 | 104,010 | 116,092 | |
74 | 48,666 | 51,208 | 55,189 | 58,900 | 63,616 | 83,997 | 89,956 | 95,081 | 101,074 | 105,202 | 117,346 | |
75 | 49,475 | 52,039 | 56,054 | 59,795 | 64,547 | 85,066 | 91,061 | 96,217 | 102,243 | 106,393 | 118,599 | |
76 | 50,286 | 52,872 | 56,920 | 60,690 | 65,478 | 86,135 | 92,166 | 97,351 | 103,410 | 107,583 | 119,850 | |
77 | 51,097 | 53,705 | 57,786 | 61,586 | 66,409 | 87,203 | 93,270 | 98,484 | 104,576 | 108,771 | 121,100 | |
78 | 51,910 | 54,540 | 58,654 | 62,483 | 67,341 | 88,271 | 94,374 | 99,617 | 105,742 | 109,958 | 122,348 | |
79 | 52,725 | 55,376 | 59,522 | 63,380 | 68,274 | 89,338 | 95,476 | 100,749 | 106,906 | 111,144 | 123,594 | |
80 | 53,540 | 56,213 | 60,391 | 64,278 | 69,207 | 90,405 | 96,578 | 101,879 | 108,069 | 112,329 | 124,839 | |
81 | 54,357 | 57,051 | 61,261 | 65,176 | 70,140 | 91,472 | 97,680 | 103,010 | 109,232 | 113,512 | 126,083 | |
82 | 55,174 | 57,890 | 62,132 | 66,076 | 71,074 | 92,538 | 98,780 | 104,139 | 110,393 | 114,695 | 127,324 | |
83 | 55,993 | 58,729 | 63,004 | 66,976 | 72,008 | 93,604 | 99,880 | 105,267 | 111,553 | 115,876 | 128,565 | |
84 | 56,813 | 59,570 | 63,876 | 67,876 | 72,943 | 94,669 | 100,980 | 106,395 | 112,712 | 117,057 | 129,804 | |
85 | 57,634 | 60,412 | 64,749 | 68,777 | 73,878 | 95,734 | 102,079 | 107,522 | 113,871 | 118,236 | 131,041 | |
86 | 58,456 | 61,255 | 65,623 | 69,679 | 74,813 | 96,799 | 103,177 | 108,648 | 115,028 | 119,414 | 132,277 | |
87 | 59,279 | 62,098 | 66,498 | 70,581 | 75,749 | 97,863 | 104,275 | 109,773 | 116,184 | 120,591 | 133,512 | |
88 | 60,103 | 62,943 | 67,373 | 71,484 | 76,685 | 98,927 | 105,372 | 110,898 | 117,340 | 121,767 | 134,745 | |
89 | 60,928 | 63,788 | 68,249 | 72,387 | 77,622 | 99,991 | 106,469 | 112,022 | 118,495 | 122,942 | 135,978 | |
90 | 61,754 | 64,635 | 69,126 | 73,291 | 78,558 | 101,054 | 107,565 | 113,145 | 119,648 | 124,116 | 137,208 | |
91 | 62,581 | 65,482 | 70,003 | 74,196 | 79,496 | 102,117 | 108,661 | 114,268 | 120,801 | 125,289 | 138,438 | |
92 | 63,409 | 66,330 | 70,882 | 75,100 | 80,433 | 103,179 | 109,756 | 115,390 | 121,954 | 126,462 | 139,666 | |
93 | 64,238 | 67,179 | 71,760 | 76,006 | 81,371 | 104,241 | 110,850 | 116,511 | 123,105 | 127,633 | 140,893 | |
94 | 65,068 | 68,028 | 72,640 | 76,912 | 82,309 | 105,303 | 111,944 | 117,632 | 124,255 | 128,803 | 142,119 | |
95 | 65,898 | 68,879 | 73,520 | 77,818 | 83,248 | 106,364 | 113,038 | 118,752 | 125,405 | 129,973 | 143,344 | |
96 | 66,730 | 69,730 | 74,401 | 78,725 | 84,187 | 107,425 | 114,131 | 119,871 | 126,554 | 131,141 | 144,567 | |
97 | 67,562 | 70,582 | 75,282 | 79,633 | 85,126 | 108,486 | 115,223 | 120,990 | 127,702 | 132,309 | 145,789 | |
98 | 68,396 | 71,434 | 76,164 | 80,541 | 86,065 | 109,547 | 116,315 | 122,108 | 128,849 | 133,476 | 147,010 | |
99 | 69,230 | 72,288 | 77,046 | 81,449 | 87,005 | 110,607 | 117,407 | 123,225 | 129,996 | 134,642 | 148,230 | |
100 | 70,065 | 73,142 | 77,929 | 82,358 | 87,945 | 111,667 | 118,498 | 124,342 | 131,142 | 135,807 | 149,449 | |
101 | 70,901 | 73,997 | 78,813 | 83,267 | 88,886 | 112,726 | 119,589 | 125,458 | 132,287 | 136,971 | 150,667 | |
102 | 71,737 | 74,853 | 79,697 | 84,177 | 89,826 | 113,786 | 120,679 | 126,574 | 133,431 | 138,134 | 151,884 | |
103 | 72,575 | 75,709 | 80,582 | 85,088 | 90,767 | 114,845 | 121,769 | 127,689 | 134,575 | 139,297 | 153,099 | |
104 | 73,413 | 76,566 | 81,468 | 85,998 | 91,709 | 115,903 | 122,858 | 128,804 | 135,718 | 140,459 | 154,314 | |
105 | 74,252 | 77,424 | 82,354 | 86,909 | 92,650 | 116,962 | 123,947 | 129,918 | 136,860 | 141,620 | 155,528 | |
106 | 75,092 | 78,282 | 83,240 | 87,821 | 93,592 | 118,020 | 125,035 | 131,031 | 138,002 | 142,780 | 156,740 | |
107 | 75,932 | 79,142 | 84,127 | 88,733 | 94,534 | 119,078 | 126,123 | 132,144 | 139,143 | 143,940 | 157,952 | |
108 | 76,774 | 80,001 | 85,015 | 89,645 | 95,477 | 120,135 | 127,211 | 133,257 | 140,283 | 145,099 | 159,162 | |
109 | 77,616 | 80,862 | 85,903 | 90,558 | 96,419 | 121,192 | 128,298 | 134,369 | 141,423 | 146,257 | 160,372 | |
110 | 78,458 | 81,723 | 86,792 | 91,471 | 97,362 | 122,250 | 129,385 | 135,480 | 142,562 | 147,414 | 161,581 | |
111 | 79,302 | 82,584 | 87,681 | 92,385 | 98,306 | 123,306 | 130,472 | 136,591 | 143,700 | 148,571 | 162,788 | |
112 | 80,146 | 83,447 | 88,570 | 93,299 | 99,249 | 124,363 | 131,558 | 137,701 | 144,838 | 149,727 | 163,995 | |
113 | 80,991 | 84,310 | 89,461 | 94,213 | 100,193 | 125,419 | 132,643 | 138,811 | 145,975 | 150,882 | 165,201 | |
114 | 81,836 | 85,173 | 90,351 | 95,128 | 101,137 | 126,475 | 133,729 | 139,921 | 147,111 | 152,037 | 166,406 | |
115 | 82,682 | 86,037 | 91,242 | 96,043 | 102,081 | 127,531 | 134,813 | 141,030 | 148,247 | 153,191 | 167,610 | |
116 | 83,529 | 86,902 | 92,134 | 96,958 | 103,025 | 128,587 | 135,898 | 142,138 | 149,383 | 154,344 | 168,813 | |
117 | 84,377 | 87,767 | 93,026 | 97,874 | 103,970 | 129,642 | 136,982 | 143,246 | 150,517 | 155,496 | 170,016 | |
118 | 85,225 | 88,633 | 93,918 | 98,790 | 104,915 | 130,697 | 138,066 | 144,354 | 151,652 | 156,648 | 171,217 | |
119 | 86,074 | 89,500 | 94,811 | 99,707 | 105,860 | 131,752 | 139,149 | 145,461 | 152,785 | 157,800 | 172,418 | |
120 | 86,923 | 90,367 | 95,705 | 100,624 | 106,806 | 132,806 | 140,233 | 146,567 | 153,918 | 158,950 | 173,617 | |
121 | 87,773 | 91,234 | 96,598 | 101,541 | 107,751 | 133,861 | 141,315 | 147,674 | 155,051 | 160,100 | 174,816 | |
122 | 88,624 | 92,102 | 97,493 | 102,458 | 108,697 | 134,915 | 142,398 | 148,779 | 156,183 | 161,250 | 176,014 | |
123 | 89,475 | 92,971 | 98,387 | 103,376 | 109,643 | 135,969 | 143,480 | 149,885 | 157,314 | 162,398 | 177,212 | |
124 | 90,327 | 93,840 | 99,283 | 104,295 | 110,589 | 137,022 | 144,562 | 150,989 | 158,445 | 163,546 | 178,408 | |
125 | 91,180 | 94,710 | 100,178 | 105,213 | 111,536 | 138,076 | 145,643 | 152,094 | 159,575 | 164,694 | 179,604 | |
126 | 92,033 | 95,580 | 101,074 | 106,132 | 112,483 | 139,129 | 146,724 | 153,198 | 160,705 | 165,841 | 180,799 | |
127 | 92,887 | 96,451 | 101,971 | 107,051 | 113,430 | 140,182 | 147,805 | 154,302 | 161,834 | 166,987 | 181,993 | |
128 | 93,741 | 97,322 | 102,867 | 107,971 | 114,377 | 141,235 | 148,885 | 155,405 | 162,963 | 168,133 | 183,186 | |
129 | 94,596 | 98,194 | 103,765 | 108,891 | 115,324 | 142,288 | 149,965 | 156,508 | 164,091 | 169,278 | 184,379 | |
130 | 95,451 | 99,066 | 104,662 | 109,811 | 116,272 | 143,340 | 151,045 | 157,610 | 165,219 | 170,423 | 185,571 | |
131 | 96,307 | 99,939 | 105,560 | 110,732 | 117,219 | 144,392 | 152,125 | 158,712 | 166,346 | 171,567 | 186,762 | |
132 | 97,163 | 100,812 | 106,459 | 111,652 | 118,167 | 145,444 | 153,204 | 159,814 | 167,473 | 172,711 | 187,953 | |
133 | 98,020 | 101,686 | 107,357 | 112,573 | 119,116 | 146,496 | 154,283 | 160,915 | 168,600 | 173,854 | 189,142 | |
134 | 98,878 | 102,560 | 108,257 | 113,495 | 120,064 | 147,548 | 155,361 | 162,016 | 169,725 | 174,996 | 190,331 | |
135 | 99,736 | 103,435 | 109,156 | 114,417 | 121,012 | 148,599 | 156,440 | 163,116 | 170,851 | 176,138 | 191,520 | |
136 | 100,595 | 104,310 | 110,056 | 115,338 | 121,961 | 149,651 | 157,518 | 164,216 | 171,976 | 177,280 | 192,707 | |
137 | 101,454 | 105,185 | 110,956 | 116,261 | 122,910 | 150,702 | 158,595 | 165,316 | 173,100 | 178,421 | 193,894 | |
138 | 102,314 | 106,061 | 111,857 | 117,183 | 123,859 | 151,753 | 159,673 | 166,415 | 174,224 | 179,561 | 195,080 | |
139 | 103,174 | 106,938 | 112,758 | 118,106 | 124,809 | 152,803 | 160,750 | 167,514 | 175,348 | 180,701 | 196,266 | |
140 | 104,034 | 107,815 | 113,659 | 119,029 | 125,758 | 153,854 | 161,827 | 168,613 | 176,471 | 181,840 | 197,451 | |
141 | 104,896 | 108,692 | 114,561 | 119,953 | 126,708 | 154,904 | 162,904 | 169,711 | 177,594 | 182,979 | 198,635 | |
142 | 105,757 | 109,570 | 115,463 | 120,876 | 127,658 | 155,954 | 163,980 | 170,809 | 178,716 | 184,118 | 199,819 | |
143 | 106,619 | 110,448 | 116,366 | 121,800 | 128,608 | 157,004 | 165,056 | 171,907 | 179,838 | 185,256 | 201,002 | |
144 | 107,482 | 111,327 | 117,268 | 122,724 | 129,558 | 158,054 | 166,132 | 173,004 | 180,959 | 186,393 | 202,184 | |
145 | 108,345 | 112,206 | 118,171 | 123,649 | 130,508 | 159,104 | 167,207 | 174,101 | 182,080 | 187,530 | 203,366 | |
146 | 109,209 | 113,086 | 119,075 | 124,574 | 131,459 | 160,153 | 168,283 | 175,198 | 183,200 | 188,666 | 204,547 | |
147 | 110,073 | 113,965 | 119,979 | 125,499 | 132,409 | 161,202 | 169,358 | 176,294 | 184,321 | 189,802 | 205,727 | |
148 | 110,937 | 114,846 | 120,883 | 126,424 | 133,360 | 162,251 | 170,432 | 177,390 | 185,440 | 190,938 | 206,907 | |
149 | 111,802 | 115,726 | 121,787 | 127,349 | 134,311 | 163,300 | 171,507 | 178,485 | 186,560 | 192,073 | 208,086 | |
150 | 112,668 | 116,608 | 122,692 | 128,275 | 135,263 | 164,349 | 172,581 | 179,581 | 187,678 | 193,208 | 209,265 | |
151 | 113,533 | 117,489 | 123,597 | 129,201 | 136,214 | 165,398 | 173,655 | 180,676 | 188,797 | 194,342 | 210,443 | |
152 | 114,400 | 118,371 | 124,502 | 130,127 | 137,165 | 166,446 | 174,729 | 181,770 | 189,915 | 195,476 | 211,620 | |
153 | 115,266 | 119,253 | 125,408 | 131,054 | 138,117 | 167,495 | 175,803 | 182,865 | 191,033 | 196,609 | 212,797 | |
154 | 116,134 | 120,136 | 126,314 | 131,980 | 139,069 | 168,543 | 176,876 | 183,959 | 192,150 | 197,742 | 213,973 | |
155 | 117,001 | 121,019 | 127,220 | 132,907 | 140,021 | 169,591 | 177,949 | 185,052 | 193,267 | 198,874 | 215,149 | |
156 | 117,869 | 121,903 | 128,127 | 133,835 | 140,973 | 170,639 | 179,022 | 186,146 | 194,384 | 200,006 | 216,324 | |
157 | 118,738 | 122,786 | 129,034 | 134,762 | 141,926 | 171,686 | 180,094 | 187,239 | 195,500 | 201,138 | 217,499 | |
158 | 119,607 | 123,671 | 129,941 | 135,690 | 142,878 | 172,734 | 181,167 | 188,332 | 196,616 | 202,269 | 218,673 | |
159 | 120,476 | 124,555 | 130,848 | 136,618 | 143,831 | 173,781 | 182,239 | 189,424 | 197,731 | 203,400 | 219,846 | |
160 | 121,346 | 125,440 | 131,756 | 137,546 | 144,783 | 174,828 | 183,311 | 190,516 | 198,846 | 204,530 | 221,019 | |
161 | 122,216 | 126,325 | 132,664 | 138,474 | 145,736 | 175,875 | 184,382 | 191,608 | 199,961 | 205,660 | 222,191 | |
162 | 123,086 | 127,211 | 133,572 | 139,403 | 146,689 | 176,922 | 185,454 | 192,700 | 201,076 | 206,790 | 223,363 | |
163 | 123,957 | 128,097 | 134,481 | 140,331 | 147,643 | 177,969 | 186,525 | 193,791 | 202,190 | 207,919 | 224,535 | |
164 | 124,828 | 128,983 | 135,390 | 141,260 | 148,596 | 179,016 | 187,596 | 194,883 | 203,303 | 209,047 | 225,705 | |
165 | 125,700 | 129,870 | 136,299 | 142,190 | 149,549 | 180,062 | 188,667 | 195,973 | 204,417 | 210,176 | 226,876 | |
166 | 126,572 | 130,757 | 137,209 | 143,119 | 150,503 | 181,109 | 189,737 | 197,064 | 205,530 | 211,304 | 228,045 | |
167 | 127,445 | 131,644 | 138,118 | 144,049 | 151,457 | 182,155 | 190,808 | 198,154 | 206,642 | 212,431 | 229,215 | |
168 | 128,318 | 132,532 | 139,028 | 144,979 | 152,411 | 183,201 | 191,878 | 199,244 | 207,755 | 213,558 | 230,383 | |
169 | 129,191 | 133,420 | 139,939 | 145,909 | 153,365 | 184,247 | 192,948 | 200,334 | 208,867 | 214,685 | 231,552 | |
170 | 130,064 | 134,308 | 140,849 | 146,839 | 154,319 | 185,293 | 194,017 | 201,423 | 209,978 | 215,812 | 232,719 | |
171 | 130,938 | 135,197 | 141,760 | 147,769 | 155,273 | 186,338 | 195,087 | 202,513 | 211,090 | 216,938 | 233,887 | |
172 | 131,813 | 136,086 | 142,671 | 148,700 | 156,228 | 187,384 | 196,156 | 203,602 | 212,201 | 218,063 | 235,053 | |
173 | 132,687 | 136,975 | 143,582 | 149,631 | 157,182 | 188,429 | 197,225 | 204,690 | 213,311 | 219,189 | 236,220 | |
174 | 133,563 | 137,865 | 144,494 | 150,562 | 158,137 | 189,475 | 198,294 | 205,779 | 214,422 | 220,314 | 237,385 | |
175 | 134,438 | 138,755 | 145,406 | 151,493 | 159,092 | 190,520 | 199,363 | 206,867 | 215,532 | 221,438 | 238,551 | |
176 | 135,314 | 139,645 | 146,318 | 152,425 | 160,047 | 191,565 | 200,432 | 207,955 | 216,641 | 222,563 | 239,716 | |
177 | 136,190 | 140,536 | 147,230 | 153,356 | 161,002 | 192,610 | 201,500 | 209,042 | 217,751 | 223,687 | 240,880 | |
178 | 137,066 | 141,427 | 148,143 | 154,288 | 161,957 | 193,654 | 202,568 | 210,130 | 218,860 | 224,810 | 242,044 | |
179 | 137,943 | 142,318 | 149,056 | 155,220 | 162,913 | 194,699 | 203,636 | 211,217 | 219,969 | 225,933 | 243,207 | |
180 | 138,820 | 143,210 | 149,969 | 156,153 | 163,868 | 195,743 | 204,704 | 212,304 | 221,077 | 227,056 | 244,370 | |
181 | 139,698 | 144,101 | 150,882 | 157,085 | 164,824 | 196,788 | 205,771 | 213,391 | 222,185 | 228,179 | 245,533 | |
182 | 140,576 | 144,994 | 151,796 | 158,018 | 165,780 | 197,832 | 206,839 | 214,477 | 223,293 | 229,301 | 246,695 | |
183 | 141,454 | 145,886 | 152,709 | 158,951 | 166,735 | 198,876 | 207,906 | 215,563 | 224,401 | 230,423 | 247,857 | |
184 | 142,332 | 146,779 | 153,623 | 159,883 | 167,691 | 199,920 | 208,973 | 216,649 | 225,508 | 231,544 | 249,018 | |
185 | 143,211 | 147,672 | 154,538 | 160,817 | 168,647 | 200,964 | 210,040 | 217,735 | 226,615 | 232,665 | 250,179 | |
186 | 144,090 | 148,565 | 155,452 | 161,750 | 169,604 | 202,008 | 211,106 | 218,820 | 227,722 | 233,786 | 251,339 | |
187 | 144,970 | 149,459 | 156,367 | 162,684 | 170,560 | 203,052 | 212,173 | 219,906 | 228,828 | 234,907 | 252,499 | |
188 | 145,850 | 150,352 | 157,282 | 163,617 | 171,517 | 204,095 | 213,239 | 220,991 | 229,935 | 236,027 | 253,659 | |
189 | 146,730 | 151,247 | 158,197 | 164,551 | 172,473 | 205,139 | 214,305 | 222,076 | 231,040 | 237,147 | 254,818 | |
190 | 147,610 | 152,141 | 159,113 | 165,485 | 173,430 | 206,182 | 215,371 | 223,160 | 232,146 | 238,266 | 255,976 | |
191 | 148,491 | 153,036 | 160,028 | 166,419 | 174,387 | 207,225 | 216,437 | 224,245 | 233,251 | 239,386 | 257,135 | |
192 | 149,372 | 153,931 | 160,944 | 167,354 | 175,343 | 208,268 | 217,502 | 225,329 | 234,356 | 240,505 | 258,292 | |
193 | 150,254 | 154,826 | 161,860 | 168,288 | 176,301 | 209,311 | 218,568 | 226,413 | 235,461 | 241,623 | 259,450 | |
194 | 151,135 | 155,722 | 162,776 | 169,223 | 177,258 | 210,354 | 219,633 | 227,496 | 236,566 | 242,742 | 260,607 | |
195 | 152,017 | 156,617 | 163,693 | 170,158 | 178,215 | 211,397 | 220,698 | 228,580 | 237,670 | 243,860 | 261,763 | |
196 | 152,900 | 157,513 | 164,610 | 171,093 | 179,172 | 212,439 | 221,763 | 229,663 | 238,774 | 244,977 | 262,920 | |
197 | 153,782 | 158,410 | 165,527 | 172,029 | 180,130 | 213,482 | 222,828 | 230,746 | 239,877 | 246,095 | 264,075 | |
198 | 154,665 | 159,306 | 166,444 | 172,964 | 181,087 | 214,524 | 223,892 | 231,829 | 240,981 | 247,212 | 265,231 | |
199 | 155,548 | 160,203 | 167,361 | 173,900 | 182,045 | 215,567 | 224,957 | 232,912 | 242,084 | 248,329 | 266,386 | |
200 | 156,432 | 161,100 | 168,279 | 174,835 | 183,003 | 216,609 | 226,021 | 233,994 | 243,187 | 249,445 | 267,541 | |
201 | 157,316 | 161,998 | 169,196 | 175,771 | 183,961 | 217,651 | 227,085 | 235,077 | 244,290 | 250,561 | 268,695 | |
202 | 158,200 | 162,895 | 170,114 | 176,707 | 184,919 | 218,693 | 228,149 | 236,159 | 245,392 | 251,677 | 269,849 | |
203 | 159,084 | 163,793 | 171,032 | 177,643 | 185,877 | 219,735 | 229,213 | 237,240 | 246,494 | 252,793 | 271,002 | |
204 | 159,969 | 164,691 | 171,951 | 178,580 | 186,835 | 220,777 | 230,276 | 238,322 | 247,596 | 253,908 | 272,155 | |
205 | 160,854 | 165,590 | 172,869 | 179,516 | 187,793 | 221,818 | 231,340 | 239,403 | 248,698 | 255,023 | 273,308 | |
206 | 161,739 | 166,488 | 173,788 | 180,453 | 188,752 | 222,860 | 232,403 | 240,485 | 249,799 | 256,138 | 274,460 | |
207 | 162,624 | 167,387 | 174,707 | 181,390 | 189,710 | 223,901 | 233,466 | 241,566 | 250,900 | 257,253 | 275,612 | |
208 | 163,510 | 168,286 | 175,626 | 182,327 | 190,669 | 224,943 | 234,529 | 242,647 | 252,001 | 258,367 | 276,764 | |
209 | 164,396 | 169,186 | 176,546 | 183,264 | 191,628 | 225,984 | 235,592 | 243,727 | 253,102 | 259,481 | 277,915 | |
210 | 165,283 | 170,085 | 177,465 | 184,201 | 192,586 | 227,025 | 236,655 | 244,808 | 254,202 | 260,595 | 279,066 | |
211 | 166,169 | 170,985 | 178,385 | 185,139 | 193,545 | 228,066 | 237,717 | 245,888 | 255,302 | 261,708 | 280,217 | |
212 | 167,056 | 171,885 | 179,305 | 186,076 | 194,504 | 229,107 | 238,780 | 246,968 | 256,402 | 262,821 | 281,367 | |
213 | 167,943 | 172,785 | 180,225 | 187,014 | 195,463 | 230,148 | 239,842 | 248,048 | 257,502 | 263,934 | 282,517 | |
214 | 168,831 | 173,686 | 181,145 | 187,952 | 196,423 | 231,189 | 240,904 | 249,128 | 258,601 | 265,047 | 283,666 | |
215 | 169,718 | 174,587 | 182,066 | 188,890 | 197,382 | 232,230 | 241,966 | 250,207 | 259,701 | 266,159 | 284,815 | |
216 | 170,606 | 175,488 | 182,987 | 189,828 | 198,341 | 233,270 | 243,028 | 251,286 | 260,800 | 267,271 | 285,964 | |
217 | 171,494 | 176,389 | 183,907 | 190,767 | 199,301 | 234,311 | 244,090 | 252,365 | 261,898 | 268,383 | 287,112 | |
218 | 172,383 | 177,291 | 184,828 | 191,705 | 200,260 | 235,351 | 245,151 | 253,444 | 262,997 | 269,495 | 288,261 | |
219 | 173,271 | 178,192 | 185,750 | 192,644 | 201,220 | 236,391 | 246,213 | 254,523 | 264,095 | 270,606 | 289,408 | |
220 | 174,160 | 179,094 | 186,671 | 193,582 | 202,180 | 237,432 | 247,274 | 255,602 | 265,193 | 271,717 | 290,556 | |
221 | 175,050 | 179,996 | 187,593 | 194,521 | 203,140 | 238,472 | 248,335 | 256,680 | 266,291 | 272,828 | 291,703 | |
222 | 175,939 | 180,899 | 188,514 | 195,460 | 204,100 | 239,512 | 249,396 | 257,758 | 267,389 | 273,939 | 292,850 | |
223 | 176,829 | 181,801 | 189,436 | 196,400 | 205,060 | 240,552 | 250,457 | 258,837 | 268,486 | 275,049 | 293,996 | |
224 | 177,719 | 182,704 | 190,359 | 197,339 | 206,020 | 241,592 | 251,517 | 259,914 | 269,584 | 276,159 | 295,142 | |
225 | 178,609 | 183,607 | 191,281 | 198,278 | 206,980 | 242,631 | 252,578 | 260,992 | 270,681 | 277,269 | 296,288 | |
226 | 179,499 | 184,510 | 192,203 | 199,218 | 207,940 | 243,671 | 253,638 | 262,070 | 271,777 | 278,379 | 297,433 | |
227 | 180,390 | 185,414 | 193,126 | 200,158 | 208,901 | 244,711 | 254,699 | 263,147 | 272,874 | 279,488 | 298,579 | |
228 | 181,281 | 186,317 | 194,049 | 201,097 | 209,861 | 245,750 | 255,759 | 264,224 | 273,970 | 280,597 | 299,723 | |
229 | 182,172 | 187,221 | 194,972 | 202,037 | 210,822 | 246,790 | 256,819 | 265,301 | 275,066 | 281,706 | 300,868 | |
230 | 183,063 | 188,125 | 195,895 | 202,978 | 211,782 | 247,829 | 257,879 | 266,378 | 276,162 | 282,814 | 302,012 | |
231 | 183,955 | 189,030 | 196,818 | 203,918 | 212,743 | 248,868 | 258,939 | 267,455 | 277,258 | 283,923 | 303,156 | |
232 | 184,847 | 189,934 | 197,742 | 204,858 | 213,704 | 249,908 | 259,998 | 268,531 | 278,354 | 285,031 | 304,299 | |
233 | 185,739 | 190,839 | 198,665 | 205,799 | 214,665 | 250,947 | 261,058 | 269,608 | 279,449 | 286,139 | 305,443 | |
234 | 186,631 | 191,744 | 199,589 | 206,739 | 215,626 | 251,986 | 262,117 | 270,684 | 280,544 | 287,247 | 306,586 | |
235 | 187,524 | 192,649 | 200,513 | 207,680 | 216,587 | 253,025 | 263,176 | 271,760 | 281,639 | 288,354 | 307,728 | |
236 | 188,417 | 193,554 | 201,437 | 208,621 | 217,548 | 254,063 | 264,235 | 272,836 | 282,734 | 289,461 | 308,871 | |
237 | 189,310 | 194,460 | 202,362 | 209,562 | 218,509 | 255,102 | 265,294 | 273,911 | 283,828 | 290,568 | 310,013 | |
Dla danej wartości l tapela podaje wartość exp(-l) [do obliczania prawdopodobieństwa w rozkładzie Poissona] | ||||||||||||
0,1 | 0,2 | 0,3 | 0,4 | 0,5 | 0,6 | 0,7 | 0,8 | 0,9 | 1,0 | 1,5 | 2,0 | |
0,90484 | 0,81873 | 0,74082 | 0,67032 | 0,60653 | 0,54881 | 0,49659 | 0,44933 | 0,40657 | 0,36788 | 0,22313 | 0,13534 | |
2,5 | 3,0 | 3,5 | 4,0 | 4,5 | 5,0 | 5,5 | 6,0 | 7,0 | 8,0 | 9,0 | 10,0 | |
0,08208 | 0,04979 | 0,03020 | 0,01832 | 0,01111 | 0,00674 | 0,00409 | 0,00248 | 0,00091 | 0,00034 | 0,00012 | 0,00005 |
Dystrybuanta rozkładu normalnego | |||||||||||
x | 0 | 1 | 2 | 3 | 4 | 5 | 6 | 7 | 8 | 9 | . |
0,0 | 0,50000 | 0,50399 | 0,50798 | 0,51197 | 0,51595 | 0,51994 | 0,52392 | 0,52790 | 0,53188 | 0,53586 | |
0,1 | 0,53983 | 0,54380 | 0,54776 | 0,55172 | 0,55567 | 0,55962 | 0,56356 | 0,56749 | 0,57142 | 0,57535 | |
0,2 | 0,57926 | 0,58317 | 0,58706 | 0,59095 | 0,59483 | 0,59871 | 0,60257 | 0,60642 | 0,61026 | 0,61409 | |
0,3 | 0,61791 | 0,62172 | 0,62552 | 0,62930 | 0,63307 | 0,63683 | 0,64058 | 0,64431 | 0,64803 | 0,65173 | |
0,4 | 0,65542 | 0,65910 | 0,66276 | 0,66640 | 0,67003 | 0,67364 | 0,67724 | 0,68082 | 0,68439 | 0,68793 | |
0,5 | 0,69146 | 0,69497 | 0,69847 | 0,70194 | 0,70540 | 0,70884 | 0,71226 | 0,71566 | 0,71904 | 0,72240 | |
0,6 | 0,72575 | 0,72907 | 0,73237 | 0,73565 | 0,73891 | 0,74215 | 0,74537 | 0,74857 | 0,75175 | 0,75490 | |
0,7 | 0,75804 | 0,76115 | 0,76424 | 0,76730 | 0,77035 | 0,77337 | 0,77637 | 0,77935 | 0,78230 | 0,78524 | |
0,8 | 0,78814 | 0,79103 | 0,79389 | 0,79673 | 0,79955 | 0,80234 | 0,80511 | 0,80785 | 0,81057 | 0,81327 | |
0,9 | 0,81594 | 0,81859 | 0,82121 | 0,82381 | 0,82639 | 0,82894 | 0,83147 | 0,83398 | 0,83646 | 0,83891 | |
1,0 | 0,84134 | 0,84375 | 0,84614 | 0,84849 | 0,85083 | 0,85314 | 0,85543 | 0,85769 | 0,85993 | 0,86214 | |
1,1 | 0,86433 | 0,86650 | 0,86864 | 0,87076 | 0,87286 | 0,87493 | 0,87698 | 0,87900 | 0,88100 | 0,88298 | |
1,2 | 0,88493 | 0,88686 | 0,88877 | 0,89065 | 0,89251 | 0,89435 | 0,89617 | 0,89796 | 0,89973 | 0,90147 | |
1,3 | 0,90320 | 0,90490 | 0,90658 | 0,90824 | 0,90988 | 0,91149 | 0,91309 | 0,91466 | 0,91621 | 0,91774 | |
1,4 | 0,91924 | 0,92073 | 0,92220 | 0,92364 | 0,92507 | 0,92647 | 0,92785 | 0,92922 | 0,93056 | 0,93189 | |
1,5 | 0,93319 | 0,93448 | 0,93574 | 0,93699 | 0,93822 | 0,93943 | 0,94062 | 0,94179 | 0,94295 | 0,94408 | |
1,6 | 0,94520 | 0,94630 | 0,94738 | 0,94845 | 0,94950 | 0,95053 | 0,95154 | 0,95254 | 0,95352 | 0,95449 | |
1,7 | 0,95543 | 0,95637 | 0,95728 | 0,95818 | 0,95907 | 0,95994 | 0,96080 | 0,96164 | 0,96246 | 0,96327 | |
1,8 | 0,96407 | 0,96485 | 0,96562 | 0,96638 | 0,96712 | 0,96784 | 0,96856 | 0,96926 | 0,96995 | 0,97062 | |
1,9 | 0,97128 | 0,97193 | 0,97257 | 0,97320 | 0,97381 | 0,97441 | 0,97500 | 0,97558 | 0,97615 | 0,97670 | |
2,0 | 0,97725 | 0,97778 | 0,97831 | 0,97882 | 0,97932 | 0,97982 | 0,98030 | 0,98077 | 0,98124 | 0,98169 | |
2,1 | 0,98214 | 0,98257 | 0,98300 | 0,98341 | 0,98382 | 0,98422 | 0,98461 | 0,98500 | 0,98537 | 0,98574 | |
2,2 | 0,98610 | 0,98645 | 0,98679 | 0,98713 | 0,98745 | 0,98778 | 0,98809 | 0,98840 | 0,98870 | 0,98899 | |
2,3 | 0,98928 | 0,98956 | 0,98983 | 0,99010 | 0,99036 | 0,99061 | 0,99086 | 0,99111 | 0,99134 | 0,99158 | |
2,4 | 0,99180 | 0,99202 | 0,99224 | 0,99245 | 0,99266 | 0,99286 | 0,99305 | 0,99324 | 0,99343 | 0,99361 | |
2,5 | 0,99379 | 0,99396 | 0,99413 | 0,99430 | 0,99446 | 0,99461 | 0,99477 | 0,99492 | 0,99506 | 0,99520 | |
2,6 | 0,99534 | 0,99547 | 0,99560 | 0,99573 | 0,99585 | 0,99598 | 0,99609 | 0,99621 | 0,99632 | 0,99643 | |
2,7 | 0,99653 | 0,99664 | 0,99674 | 0,99683 | 0,99693 | 0,99702 | 0,99711 | 0,99720 | 0,99728 | 0,99736 | |
2,8 | 0,99744 | 0,99752 | 0,99760 | 0,99767 | 0,99774 | 0,99781 | 0,99788 | 0,99795 | 0,99801 | 0,99807 | |
2,9 | 0,99813 | 0,99819 | 0,99825 | 0,99831 | 0,99836 | 0,99841 | 0,99846 | 0,99851 | 0,99856 | 0,99861 | |
3,0 | 0,9986501 | 0,9986938 | 0,9987361 | 0,9987772 | 0,9988171 | 0,9988558 | 0,9988933 | 0,9989297 | 0,9989650 | 0,9989992 | |
3,1 | 0,9990324 | 0,9990646 | 0,9990957 | 0,9991260 | 0,9991553 | 0,9991836 | 0,9992112 | 0,9992378 | 0,9992636 | 0,9992886 | |
3,2 | 0,9993129 | 0,9993363 | 0,9993590 | 0,9993810 | 0,9994024 | 0,9994230 | 0,9994429 | 0,9994623 | 0,9994810 | 0,9994991 | |
3,3 | 0,9995166 | 0,9995335 | 0,9995499 | 0,9995658 | 0,9995811 | 0,9995959 | 0,9996103 | 0,9996242 | 0,9996376 | 0,9996505 | |
3,4 | 0,9996631 | 0,9996752 | 0,9996869 | 0,9996982 | 0,9997091 | 0,9997197 | 0,9997299 | 0,9997398 | 0,9997493 | 0,9997585 | |
3,5 | 0,9997674 | 0,9997759 | 0,9997842 | 0,9997922 | 0,9997999 | 0,9998074 | 0,9998146 | 0,9998215 | 0,9998282 | 0,9998347 | |
3,6 | 0,9998409 | 0,9998469 | 0,9998527 | 0,9998583 | 0,9998637 | 0,9998689 | 0,9998739 | 0,9998787 | 0,9998834 | 0,9998879 | |
3,7 | 0,9998922 | 0,9998964 | 0,9999004 | 0,9999043 | 0,9999080 | 0,9999116 | 0,9999150 | 0,9999184 | 0,9999216 | 0,9999247 | |
3,8 | 0,9999277 | 0,9999305 | 0,9999333 | 0,9999359 | 0,9999385 | 0,9999409 | 0,9999433 | 0,9999456 | 0,9999478 | 0,9999499 | |
3,9 | 0,9999519 | 0,9999539 | 0,9999557 | 0,9999575 | 0,9999593 | 0,9999609 | 0,9999625 | 0,9999641 | 0,9999655 | 0,9999670 | |
4,0 | 0,9999683 | 0,9999696 | 0,9999709 | 0,9999721 | 0,9999733 | 0,9999744 | 0,9999755 | 0,9999765 | 0,9999775 | 0,9999784 | |
4,1 | 0,9999793 | 0,9999802 | 0,9999811 | 0,9999819 | 0,9999826 | 0,9999834 | 0,9999841 | 0,9999848 | 0,9999854 | 0,9999861 | |
4,2 | 0,9999867 | 0,9999872 | 0,9999878 | 0,9999883 | 0,9999888 | 0,9999893 | 0,9999898 | 0,9999902 | 0,9999907 | 0,9999911 | |
4,3 | 0,9999915 | 0,9999918 | 0,9999922 | 0,9999925 | 0,9999929 | 0,9999932 | 0,9999935 | 0,9999938 | 0,9999941 | 0,9999943 | |
4,4 | 0,9999946 | 0,9999948 | 0,9999951 | 0,9999953 | 0,9999955 | 0,9999957 | 0,9999959 | 0,9999961 | 0,9999963 | 0,9999964 | |
4,5 | 0,9999966 | 0,9999968 | 0,9999969 | 0,9999971 | 0,9999972 | 0,9999973 | 0,9999974 | 0,9999976 | 0,9999977 | 0,9999978 | |
4,6 | 0,9999979 | 0,9999980 | 0,9999981 | 0,9999982 | 0,9999983 | 0,9999983 | 0,9999984 | 0,9999985 | 0,9999986 | 0,9999986 | |
4,7 | 0,9999987 | 0,9999988 | 0,9999988 | 0,9999989 | 0,9999989 | 0,9999990 | 0,9999990 | 0,9999991 | 0,9999991 | 0,9999992 | |
4,8 | 0,9999992 | 0,9999992 | 0,9999993 | 0,9999993 | 0,9999994 | 0,9999994 | 0,9999994 | 0,9999994 | 0,9999995 | 0,9999995 | |
4,9 | 0,9999995 | 0,9999995 | 0,9999996 | 0,9999996 | 0,9999996 | 0,9999996 | 0,9999996 | 0,9999997 | 0,9999997 | 0,9999997 |