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NormalverteitungTabel le 11.1
Ta bel le d e r sta n da rd isie rten No rma lvertei I u n g, Va ria ble
x-uu o
I l rQ(ul
trlo
Ic(,
ct
Eqt=o{l
ao(9o
t\-
u G(ul Q(ul G(u l -O(u l g(ul
0,000,010,020.030,040,05
0,060,070,090,090,10
0,110,120,130,140,15
o,160,170,180,190,24
4,21o,220,23o,240,25
0,264.270,29o,290,30
0,310.320.330,340,35
0,360.370.380.390.40
0,500000,503990.507980,511970,515950,51994
0,523920,527900.531890,535860,5398i:l
0.511its00,54776o,557720,555670,55962
0,563560,567119o,571420.575350,57926
0,583170,587060.590950.594930,59871
0,602570,606420,610260.61t1090,61791
o,621720,625520,629300,63307o,63683
0,640580.64431O,6rttl030,651730,65542
0.500000.196010.19202
.0,488030,484050.18006
0,17ffi80,172100,468120,46l{140.46017
0.456200,152210.118280,1,[4330,44038
0,436440.432510.428580.121650.12074
0.416830.112940.409050,405170.40129
0.397430.393580.389740.385910.38209
0.378280.374480.370700.366930.36317
0.359/t20.355690.351970.3tt8270.34458
0.000000,007980,015960.023930.031910.03988
0,047810.055810,063760,071710,07966
0,087590,095520,103430,111340,11924
4,127120,134990.1112850,150690,15952
0,r66330 ,174130 ,181910,189670.19741
0,20514o,21284o,22A520.228180,23s82
o,243440,251030.258600.266140.27366
0 ,281150,288620,296050.303460,31084
0,398940,3{lg!,20,3{tgg60.398760398620398'+'[
03s8220,397970397670.3gzlg0.396-sf5
0396s40,st608o39ss903950s039418
0J93870"393220,3!t2530391810,39104
0,390240,389400,389530,397620,39667
0,395690,384660.383610,382510,3t!139
0,380230.379030,377800,37654o,37524
0.37391o,372550,3711 50,369730.36827
u G(ul O(u) G(ul -Q(u l 9(ul0,410,410,420,430,110,45
0,46o,170,4tf0,490,50
0.510,520,530,540,55
0,560,570.580,590,60
0,610,620.630,640,65
0,660,670,680,690,70
0,710,720,730,740,75
0,76o,770,780,790,80
0,659100,659100,662760.666400,670030,67364
o,677240.680820,6843St0,687930,69146
0,694970,698117_0.701940,705400.70884
o,712260,715660,71904oJ2240o,72575
o,72907o,732370.735650,73891o,74215
0,745370,748570,751750,754900,75804
0 ,76115o,764240,767300,77035o,77337
o,776370,779350,78230o,785240,78814
0,340900,34090o,337210,33360o329970,32636
0,322760,319180.315610,312070.30854
0,305030,301530,298060,294600,29116
0,28774o,281340,280960,277ffi0,27425
0,270930,267630,264350.261090,25785
0,254630.25r43o,248250,245100.24196
0,238850,23576o,232700,229650,22663
0,223630.22065o,217700,2 1 4760 .21185
0,318190,318190,325510.332800,340060,34729o,351180,361650,368770,375870.382930,38!1950,3!,ff140,40389-0,410800.417680,121520,/131320,438090,4tl4810,45149
0,458140,464740.47131o,177830.48431
0,490750,497140,503s00,509810,51607
0.522300,s28€o,534610,540700,511675
o,552750,558700,564610,570470,57629
0,366780.366780,3652603637r0,362{30,360530,35889o,3572303s5s3035381o3520703s02903484903/t6670.344820,342940,3/11050,33!'120,337180,33521o333220.331210.329180,327130,32506o,32297
0,320860,3187't0,316590,31/143o,372250.310060,307850.305630.303390,301111
o,298870,296590,294310,292000,28969
DEUTSCHE GESELLSCHAFT FOR OUALTTAT e .V. Frank fu f tam Main
NormalverteilungTa belle 11.2
U G(u) O(u ) | G (u ) - O (u l g (u l
0 ,8r4,820.830.840.85
0.860.870,880,890.90
0.910,920.930.940,95
0.960,970.980391,00
1.011,O21,031,041,05
1.061,071,08_1.091,10
1,117,121 .131,11 '1 ,15
1 ,16r ,171 ,181 .191,20
1 .211,221,231 ,241,25
1,261 .271.281.291.30
l . 3 l1 ,32r ,331,34r,35
r.361.371,381.391,40
0.791030,793890,796730.799550.80234
0.805110.807850.8r057o,813270,8r594
0,8r8590,821210,823810,826390,82894
0,831470,833980,836460,83ggl0.84134
0,843750,846140.848500,850930.85314
0,855430,857690,859930,862140,86433
0,866500,868640,87076
_0.872860,87493
0.876990,879000,891000,882980,88493 .0,886960,899770,890650,8925i0,89435
0,896170.897960.899730,90r470,90320
0.904900.906s80,908240.909880 , 9 1 1 4 9
0,913090,9r4660,916210,9 r 7740 ,91924
o,20897\ 0 ,20611o,203270,200450.19766
0.582060,587780,593460,599090.60468
o,194890 , r92150,189430,186730,18406
0 ,181410.178790,176190,173610,17106
0.168530,166020.163540,161090.15866
0,15625 -
0,153860,151510,149170,14686
o,14157o,142310,140070,137960,13567
0,13[t5o0,13136o,12921o,127710,12507
o]23020,121000,119000,117020,11507
0 ,113140 .111230,109350,107490,1056s
0,103830,10204o.10027o,o98s3o,09680
0,095100,093420,091760,09012o,0BB5l
0.610210,615700 ,62 I l 40.626530,63188
0,637180.642430,647630,652780,65789
0.662940,667950,672910,677830,68269
0,68750o,692270,696990,701660,70629
0.710960.715390,719860,724290,72967
0,733000,737290,741520,745710,74996
0,7s3950,759000,762000,7659s0.76986
o,77372o,777540.781300,785020.78870
0.792330.795920,799450.802950,80640
0.809800 . 8 1 3 1 70,816480.8 19750,82298
0,086s2 | 0.826170,08s34 | 0,82s310,08379 | 0,832410.08226 | 0,835470,08076 I 0,83849
o,287370,28504o.282690.28034o,27798
0,275620,273240,270860,268480,26609
0,263690,261290,2s8880,256470,25406
0.25't64o,249230.246810,24439o,24197
0,239550,237130,23471o,232300,229gg
o,227470,22506o,222650,22025.o,21795
0,21546_0.213070,210690,209310.20594
0,20357o,201210.198960,196520,19419
0.191960,lgg54o,187240,194940,19265
0,190370 .178100,1 75850,r73600,17 ' t 37
0 ,169 1 50,1669.40.164740.162560,16038
0,1 58220,156080,1 53950 ,151830.1 4973
u G(u l O(u l G ( u ) - O ( u l g (u l
1 , 4 11 , 4 21 ,431 ,441 ,45
1 ,461 ,47r ,48't ,49
1,50
1 , 5 11 ,521 ,531 ,541,55
1,561,571,581,591,60
1,611,621,631.64
0,920730.922200.923640.925070,92647
0.927860,929220,930560,931890,93319
0,934480,935740,936990,939220,93943
0.940620,941790,942950.944080,94520
0,946300847380,94845.0.9-49500,95053
0.951540,952540,953520.954490,955113
0,956370,957290.958190,959070,959911
0,960800.961640,962460,963270,96407
0.964950,96s620,966390,967120,96784
0.968560,969260,969950,970620,97r28
0.97 r930,972570,973200,973810,97441
0,975000,975580,976150,976700,97725
| 0,07s27 | 0,84146
I 0,07780 | 0.8443s
I o,ozoro I o,eatza| 0,074s3 I 0.8s013
I o,ozasr I o,eszsa
I 0.0721s I o,sssz r| 0,07078 | 0.8s844
I o,ooscc I o,aor rai o,068t1 | o,aoaza
0,06681 I 0,86639
0,06552 | O,eOeSO0,06426 | O,AZraS0,06301 | o,azgse0,06178 | 0,876440,060s7 | 0,87886
I0.05938 I 0,881240,05821 | 0,883580.05705 | 0,885890,05592 | 0,888170,05'Eo
| 0,89040
0,05370 t 0,892ffi0,05262 | 0,894770,05155 | 0,896900:05050 | o,esess0,04947
| 0,90106
0.04846 | 0,903090.04746 | O,SOSO80,0461t8 | 0.907040,04551 | 0,908970,0ttr157 I 0,91087
0,0rB63 | O,StZZr0,01272 | 0,91,[570,011182 | 0,91637
- 0.04093 I 0,91814o,o/too6 | o,stsgs
I0,03920 I 0,921590,03836 | 0s23270.03754 | O,SZ(SZ0,03673 | O,SZOSS0,03593
| 0,92814
o.o3s15 | o,szszo0,03438 I 0,931240.03363 | 0,932750,03288 | 0,934230,03216
| 0.s3s6s
0,03144 I 0 ,s3711o,o3o74 | o,saeszo,o3oos I o.sesas0.02s38 | 0,s4124o,o2872
| 0,s42s7o,o28o7 | o.snrez0.02743 | o. s+sr +0,02680 | 0,s46390,02619 | 0, s47620,02s59 | 0,94882
I0,02500 | 0,95000o , o 2 1 4 2 1 0 , 9 s 1 1 6o,o238s I o,sszgoo,o233o I o,ssalro,o2275 | 0.9s4s0
0,147640,145560, r43500 ,14 r460,13943
0,137420.1 35420,133440 ,13 r470,12952
0,1 27580,125660,123760 ,121880,12001
0 ,118160,il6320,114500.112700,11092
0,109150,107410,105670?10396-0)0226
0,100590,098!,20.097280.095660.09405
0,0921160.090890,089330,087900,08628
0,084790,083290,081830,080380,07895
0,077540,07614o,074770,073410.07206
0,070740,069430,068140,066870.06562
0,064380,063160.06r9s0,060770,059s9
0,058440,057300,056180.055080,05399
1,65
1.661,671,681,691,70
1 , 7 11,727,731,741,75
1,761,771,781,791,80
1 .811,82r ,831 , 8 41 ,85
1,861,871.881,891.90
1 . 9 11 .921,931 .941 .95
1 ,961,971,981 ,992.00
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IDEUTSCHE GESELLSCHAFT FUR OUALITAT e .V. Frank fur t am Main
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Normalverteilung
Tabel le 11.3
u G { u ) O(u) G(u) - O(u l g(u l2.O12,O22,O32.042.05
2,062,072,082,092,10
2,112 ,122,132 ,142 ,15
2,162,172,192,192,20
2,212,222,232,242.25
2262,272,292,29230
23r232?,_3.12342,35
2.362,372,382,392,40
2,412,422,132,442,45
2,462,472,482,492.50
2,512,522,532.542,55
2,562,572,582,592,60
0,982s70,993000.983410,983820,98422
0,984610,995000.985370,985740.99610
0,986450,996790,987130,987450.98779
0,ggg0g0,989400,989700.988990.9gg2g
| 0,01743
| 0 ,01700
I 0,016ss
I 0 .01618
I 0,01s78
| 0.01s3s
| 0,01s00| 0.01463| 0.01426
| 0.013s0
| 0,013s5
I 0,01321| 0.01287| 0,01255
I ontzzzI 0,011s1I o,o1160| 0.01130
I o,orror| 0.01072
I o.oroc+| 0,01017
I 0.00es0| 0.00s64
I o,oos3s| 0,00s14
| 0.0088s
| 0,00866I 0.00842
I 0.00820
I o.oozssI o,oozzo| 0.0075s
| 0.00734
I 0 .00714
| 0.0069sI o.ooozo| 0.006s7
| 0.0063e
| 0.00621
I 0.00604
| 0.00s87
| 0.00s70
I 0.00ss4
I o.oos3s
| 0.00s23I 0,00so8
I o.oo+sc| 0.00480| 0.00466
0,97778 I 0.022220,s7831 I 0 .0216s0,s7882 | 0 .021180.97s32 | o.ozooao,e7sB2 | o.ozoreo.seo3o I o,orszo0,98077 I 0,019230,98't24 | o.ot azoo,s816s I o.orear0,982r4 | o,orzao
0,ggg560,gggg3-q,990100,990360,99061
0,gg0g60 ,991110,991340.ggt580,gg1g0
0,992020,992240.992450,992660,99286
0,9930s0,993240,993430,993610,99379
0,993960,994130,994300,994460,99461
0,994770,994920,995060,995200.99534
0,955s70.956620,957640,958650,95964
0,960600,96155o,962470,963380.96427
0,965140,965990,966930,967650,96844
0,969230,g69990,970740,971490,97219
0.g72gg0.973590,974250,g74gl0,97555
0.976190,976790.977390,g77gg0,97955
0,052920,051860,0s0820.049800,04879
0.047800,046820,044860.044910,04398q043070,042170,041280,040410,03955
0,038710,037990,037060,036260,03547
0,034700,033940,033190,032460,03174
0,031030.030340,029650,02ggg0.029i:f3
0.027680,027050,02643o,o25g2
9,935.a40,02/1630,024060,023490,022940,02239
9,935aL0,024630,024060,023490.02294
0,979110,97966.0,gg0lg0,990720.99123
0.99173. osg221
0,982690.gg3l50,98361
0,984050,994490.984900,985310,98571
0.986110,986490.986860,987230.98759
0,987930,988260,988590,988910,98923
0,989530,989830,9901 20.990400.99068
0.021960,021340.020830,020330.01984
0,019360.0lBB90,018420.017970.01753
0.0r7090.016670,016250,01585o,01545
0,015060,0146B0.014300,013940,01358
G(u) - O(u l
2 .612,622,632.642.65
2.662,672,682,692,70
2,712,722,732,742,75
2,762,772,792,792,go
2,912,922,932,942,95
2,862,872,gg2,892,go
2,912,922,932,942,95
2,962,972,gg2,993,00
3.013,023,033.043.05
3,063,073,083,09s, t0
3 , 1 r3 , 1 23 . 1 33 , 1 43 , 1 5
0,995470,995600,995730,9958s0.99598
0.996090,996210,996320,996430,99653
0,996640,996740,996830,996930.99702
0,997110,997200,997290.997360,99744
0,997520,997600.997670,997740,99781
0,gg7gg0,997950,998010,ggg070,99913
0,998190,998250,999310,ggg360.99841
0,998460.999510,998560,99g610,99965
0,9gg690,999740,999790,9ggg20,9gBg6
0,998890,998930,99897o,g9g00o.s9gor0.999060,999100,999130,999160,99918
0,999210,999240,999260,999290,99931
0,004530,004400,004270,004150,00404
0,003910,003790.003680,003570,00347
0,003360,003260,003170,003070,00298
0,002890,00280o,oo2720,002640,00256
0.0021180.002400.00233o,002260.00219
o,oo2120.002050,00199o,oo1930,00197
0,001910;001750,001690,001640,00159
0.001540,001490,001440,oo1390,00135
0,001310,00126o,001220 , 0 0 1 1 80 ,00 r 14
0 . 0 0 1 1 10,001070 ,00 r040,001000.00097
0.000940,000900,000870,000840,00082
0.000790,000760.000740,000710.00069
0,990950.991210,991460 .991710,99195
0.992190,992410,992640.992950,99307
0.993270,993470,993670,993960,99404
o,994220,994390,994560,994730,gg4gg
0,995050,995200,995350,995490"99563
0.99576o,995g00,996020.996150,99627
0,9963!l0,996500,996610,996720,99692
0,996920,997020,997120,997210,99730
0,997390.997470,997550,997630,99771
0,997790,997860,997930,998000.99806
0.998130,998190,998250,998310,99837
0,998420,998480,998530,998580.99863
0.013230,012890,01256o,012230,01191
0,011600,011300,011000,010710,01042
0,010140,009970,009610,009350,00909
0,009950,008610.008370,008140.00792
0,00770- 0,007480,007270,007070,00697
0,006690,006490,006310.006130,00595
0.005790,005620,005450,005300.0051/t
0.00499ffi0,004710,004570,00443
0,004300,004170,004050,003930,00381
0,003700,003s80,003480,003370.00327
0,003170,003070,002980,002880,00279
0,00271o,002620,0025i[,0.002460,00238
DEUTSCHE GESELLSCHAFT FUR oUALITAT e .V. Frank fu f t am Main
Normalvertei lungTabe l l e 11 .4
U G ( u l O ( u i G ( u l - O ( u l g ( u l
3 , 2 13.223.233 ,243,25
3,263.273,283,293.30
3 .313,323.333,343,35
3,363,373,383,393,40
3,4r3,423,433,443,45
3,463,473,483,493,50
3,513,523,533,543,55
3,563,573.583,593,60
0,999340,999360,999380,999400.99942
0,999440,999460,999480,999500,99952
0,999s30,999550,999570,999580,99960
0,999610,999620,999640,999650,99966
0,9!r9680.999690,999700,999710.99972
.0.99973
0,999740.999750,999760.99977
0,999780,999780,999790,999800,99981
0.999810.999820,999830,999830,99984
0.000640.0006:0,000620,0006:0.0005:
0,0005:0,0005:0,000520,000530,00043
0,0001;0,000450,000430,000420,00010
0,000390,000330,000360,000350.00031
0,000320.000310,000300,000290,00028
o,0oo270,000260,000250,000240,00023
0,00022o,000220,000210,000200,00019
0,000190,000180.000170,000170,00016
0.998670,998720,998760.998800,99885
0.998890.998920.998960.999000.99903
0,999070,999't00,999 r 30,999160,99919
0,999220.999250,999280,999300,99933
0,999350.999370,999400,999420,99944
0,999460,999480,999500.999520,99953
0,999550,999s70,999580,999600,99961
0,999630,999640,999660,999670.99968
0.002310,002240,002160,002100,00203
0,00r960,001900.001840.00r780,00172
0,00r670,001610,001560,001510,00146
0,001410,00r360,001320,001270,00123
0.001190.001150,0011r0.001070,00104
0,001000,000970,000940,00ff 00,00087
0,000840,000810,000790,00076 -0,00073
0,000710,000680.000660.000630.00061
tl G ( u l O ( u ) G(u l - O (u ) g (u l
3 , 6 13,623,633.643,65
;.66.-3 ,673,683,693 .70
3 .713 ,723 ,733 ,7 43,75
3,763,773,783.793,80
3,813,823.833,843,8s
3,863,873,883,893,90
3,913,923.933,943.95
3,963,973,983,994,00
0,999850.999850,999860,999860.99987
0,999870,999880.999880,999890,99989
0,999900,999900.999900,999910,99991
0,999920,999920,999920,999920,99993
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