Tables statistiques.pdf

2
y'" 0 (. Probabilité d'une valeur inférieure à / : ' •' 0,0 0,1 0,2 0,3 0,4 «# d,iî 0,9 1,0 u 1.2 J',3 1,4 1.5 1,6 1,7 1,8 1,9 2,0 2,1 2,2 2|- 2/1 i,t . 2,1 2,8 2.S 0,00 0,5000 0,5398 0,5793 0^6179 0,6554 Oj6915; 0,-t257 0.7580 0,7881 0,8159 0&4J3 0,'8643 0,8849 ' 0,9032 0,9192 0.9331 0,9452 0,9554 0,964 r 0,9713 0,9772 0,9821 0,986! 0.9893 0,9918 £0,2225. 0,9953 0.9965 0,5974 0.9981 0.01 0,5040 0.5438 0.5832 0.6217 0,6591 0,69 JP 0,7290 0.7611 OJ7910 0,8186. 0,8438 0.8665 0,8869 0,9049 0,9207, 0,9345 0,9463 0.95.64 0,9649 •0,9719 0.9779 0,9826 0.9S64 0,9896 0,9920 0,9940. 0,9955 0,9966 0,9975 0,9982 0,02 0.5080 0.5478 ÛJSJL 0.6255 0.6628 0,6985 0,7324 0.7642 0,7939 0.8212 0,8461 0,8636 0.8882 0,9066 0,9222 0,9357 0,9474 0,9573 0.9656 0.9726 0,9783 0,9830 0,9868 0,9898' 0.9922 0.994! 0,9956 0,9967 0,9976 0,9982 0,03 0.5120 0.5517 0,5910 0,6293 0.6664 0.70J9- 0!7357 0,7673 0,7967 0,'E23g 0,8485 0,8708 0,8907 O',9082- "079236, 0.9370 0,9484 0,9582 0,9664 0,9732 0.97SR 0,9834 0,9jm (0,9$ fll\r 0.9943 0,9957 0.9968 0,9977 0.9983 0,04 0.5160 0.5557 -0.5948 0,6331 0,6700 0,7054 0.7389. 0,7704 0.7995 O.S2M' 0,8508 0,8729 O.S925 ' 0.9099 0.925! 0,9382 0.9495 0,9591. 0,967Ï 0.973S 0,9793 0,9838 0.9875 0,9904 0,9927 0,9945 0,9959 0,9969 0,9977 0,9984 i 0,05 0.5199 0.5596 0.5987 0,6368 0,6736 0,7088 0,7422 0.7734 0.8023 0.8289 0,8531 0,8749 0.8944 0:9115 0,9265 0.9394 , | OjfrJ'M'' d!9*99 0,9678 0.9744 0.06 0,5239 0.5636 0.6026 0,6406 0.6772 0,7123 0.7454 0.7764 O.S05! 0.8315 0,8554 O.X770 0.8962 0,9131 0,9279 0.9406 0.9515 0,9608 0,9686 0.9750 0,9798 I 0,9803 0,9842 . 0,9878 0,9906 0,9929 0,9946 0.9960 0.9970 0.9978 0,9984 0.984Û 0,9881 0,9909 0,9931 0.9948 0,9961 0.9971 0,9979 0.9985 0,07 0,5279 0,5675 6.6064 0,6443 0.6808 0,7! 57 (5,7486 ; 0.779-J 0,8078 0.8340 0.8577 0,8790 0,g980 0,9147 0,9292 0,9418 0.9525 0,9616 0.9693 0,9756 0,9808 0,9850 0,9884 0,9911 0,9932 0,9949 0,9962 0.9972 0,9979 0,9985 0,OS 0,5319 0,5714 0,6103 0,6480' 0.6844 0,7190 P.75i7 0,7823 0,8106 0,8365 0,8599 O.X810 0,8997 0,9162 0".9306 0,942,9 0.9535 0,9625 0,9699 0,976! 0,9812 0,9854 0.9887 0.9913 0.9934 0,9951 0.9963 '0,9973. 0,9980 0,9'98'6 0.09 0,5359 0,5753 0,6141 0,6517 0,6?79 0,7224 0,7549 0.7852 0,8133 0,8389 0.8621 0.8830 0.9015 0,9177 '0.9319 0.9441 0,9545" 0.933'î" 0,9706 0,9767 0,9817 0,9857. 0,9890 0.9916 0,9936- 0.9952 0.9964 0,9974^ 0,9981 0.99S6 Tablf pma les grandes valeurs de I i r n(i) 3,0 0,99865 3.1 0,99904 3.2 0,99931 3,3 0,99952 3.4 ! 3.5 " 0,99966(0,99976 1 3,6 0.99984! 3,8 0,999928 4.0 0,999968 4,5 0,999997 £xrmp!t : fjt,!,,, La labié donne les valeurs de n(i) pour ( posilif. Lorsque i est négatif il f^ut prendre k complément à l'unité de la valeur lue dans la table. pour/ = - 1,37 pour / » !,37 n(t) = 0,9147 H(i) = 0.0853. Table pour petites valeurs de P- _^ -— D n 17 / = 1,372 2. Exemple : pour P » 0,17

Transcript of Tables statistiques.pdf

Page 1: Tables statistiques.pdf

y'"

0 (.

Probabilité d'une valeur inférieure à / :

'

•'0,00,10,20,30,4

«#d,iî0,9

1,0u1.2J',31,41.51,61,71,81,9

2,02,12,22|-2/1

i,t. 2,1

2,82.S

0,00

0,50000,53980,57930^61790,6554Oj6915;0,-t2570.75800,78810,8159

0&4J30,'86430,8849

' 0,90320,91920.93310,94520,95540,964 r0,9713

0,97720,98210,986!0.98930,9918

£0,2225.0,99530.99650,59740.9981

0.01

0,50400.54380.58320.62170,65910,69 JP0,72900.7611OJ79100,8186.

0,84380.86650,88690,90490,9207,0,93450,94630.95.640,9649

•0,9719

0.97790,98260.9S640,98960,99200,9940.0,99550,99660,99750,9982

0,02

0.50800.5478

ÛJSJL0.62550.66280,69850,73240.76420,79390.8212

0,84610,86360.88820,90660,92220,93570,94740,95730.96560.9726

0,97830,98300,98680,9898'0.99220.994!0,99560,99670,99760,9982

0,03

0.51200.55170,59100,62930.66640.70J9-0!73570,76730,79670,'E23g

0,84850,87080,8907O',9082-

"079236,0.93700,94840,95820,96640,9732

0.97SR0,98340,9jm

(0,9$ fll\r

0.99430,99570.99680,99770.9983

0,04

0.51600.5557-0.59480,63310,67000,70540.7389.0,77040.7995O.S2M'

0,85080,8729O.S925 '0.90990.925!0,93820.94950,9591.0,967Ï

• 0.973S

0,97930,98380.98750,99040,99270,99450,99590,99690,99770,9984

i

0,05

0.51990.55960.59870,63680,67360,70880,74220.77340.80230.8289

0,85310,87490.89440:91150,92650.9394 ,

| OjfrJ'M''d!9*990,96780.9744

0.06

0,52390.56360.60260,64060.67720,71230.74540.7764O.S05!0.8315

0,8554O.X7700.89620,91310,92790.94060.95150,96080,96860.9750

0,9798 I 0,98030,9842

. 0,98780,99060,99290,99460.99600.99700.99780,9984

0.984Û0,98810,99090,99310.99480,99610.99710,99790.9985

0,07

0,52790,56756.60640,64430.68080,7! 57(5,7486 ;0.779-J0,80780.8340

0.85770,87900,g9800,91470,92920,94180.95250,96160.96930,9756

0,98080,98500,98840,99110,99320,99490,99620.99720,99790,9985

0,OS

0,53190,57140,61030,6480'0.68440,7190P.75i70,78230,81060,8365

0,8599O.X8100,89970,91620".93060,942,90.95350,96250,96990,976!

0,98120,98540.98870.99130.99340,99510.9963'0,9973.0,99800,9'98'6

0.09

0,53590,57530,61410,65170,6?790,72240,75490.78520,81330,8389

0.86210.88300.90150,9177'0.93190.94410,9545"0.933'î"0,97060,9767

0,98170,9857.0,98900.99160,9936-0.99520.99640,9974^0,99810.99S6

Tablf pma les grandes valeurs de I

i r

n(i)

3,0

0,99865

3.1

0,99904

3.2

0,99931

3,3

0,99952

3.4 ! 3.5 "

0,99966(0,999761

3,6

0.99984!

3,8

0,999928

4.0

0,999968

4,5

0,999997

£xrmp!t :

fjt,!,,, — La labié donne les valeurs de n(i) pour ( posilif. Lorsque i est négatif il f^ut prendrek complément à l'unité de la valeur lue dans la table.

pour/ = - 1,37pour / » !,37

n(t) = 0,9147H(i) = 0.0853.

Table pour 1« petites valeurs de P-_^ -—

D n 17 / = 1,372 2.Exemple : pour P » 0,17

Page 2: Tables statistiques.pdf

ANNEXES369

Table 6. Dixirilwtiun tlt' Slutlent-tltJier.

Valeur de / ayant la probabilité P d'être dépassée en module.

-t

n

2•(456•

*(

IC

I I12! A

1415I &1718!?20

21222324252027282930

CQ

f-0.90

0,1580,1420,1370,1340,1320,131 '0,130 .0,130û,129_0,129

0.1290.1280.178O.iîK0,1280,1280.128"0.1270;1270.127

0,1270.1270,1270,1270.127'0.1270,1270.1270,1270,127

0,12566

0,80

0.3250,2890.2770,2710,2670,2650,2630,262ftJLSJ0.260

0,2600,259

0,70

0,5100,4450,4240.4140,4080,4040,4020.3990.39S •__0,397

0,396

0,60

0,7270.6170.5840,5690.5590,5530,5490.5469.5430.542

0,5400.395 )fi,539

0,7.59 (0.394 J0.53E0,2iS0.25S0.158 .0.2570.2570.2570,257

0.2570,256 .0,2560,2560,2560,2560,2560,2560,2560,256

0.25335

0.3!;30.3930.3920,3920,3920,391 •0,391

0.39l0,3900,3900.3900.390'0,3900.3890.3890,3890,389

0,38532

u.ii>0.5360,5350,534 •0,5340,533 -0,533

0,5320,5320,5320,5310.531 ""0,5310,5310,5300,5300,530

0,52440

0.50

1.0000.8160,7650.7410,7270.7180.7110.7060,7030.700

0.697C.69S0.694 .

0.40

1,3761,0610.9780,9410.9200,9060.8960.8890.8830.879

0,_S761.Ê73

0,30

1,9631,3861.2501.190I . I 5 C1,1341,1191,108 •1.100'f,Ôf3 '

1.CS81.083

O.F7Î1 ' I .T; 79i;.6*/ jy.i:'>50.691 0.8660.6900.6SS0,6880.6880,687

0,686Q,6é60,6850,6850,6840,6840,6840,6830,6830,683

0,67449

0,8650,8630,8620.8610.860

0.8590,8580.8580,8570,8560.8560.8550.8550.8540,854

0,84162

1 .V :c1.07-:1,0711,0691,0671,066,064

1.0631,0611.0601,0591.05E1,0581,0571,0561.0551,055

1.03643

0.20

3,0781,8861,6351,5331.4761,4401,4151,3971.383P?J

I . J631.356I.JSO

0,10

6,3142,9202.3532,1322,0151,9431.8951,8601.833rsîT"1,796I.7S21.7V!

0,05

12,7064,3033,1822,7762,5712,4472,3652,3002,262.2,218

2,2012,1797, ICO •

' ,.K3 M . / O 1 j ,r.,ï'*j

1,3411,337 . .1,3331.3301.3281,325

!,3?.31,3211,3191.3)8.t.3161.31 S1,3141.3131.3111,310

.28155

1.753 2.1311.7.46 2.J.2Q

.7401,734

2,1107..101

1.729 K ̂ 2931".725

1,7211.717U7141,711.-1.7081.7061,7031,7011,6991,697

1,64485

2,086

2,0802,0742,069

IJUtët.N2.0602,0562,0522,048 .2,0452.042

1 ,95996

0,02

31,8216,9654,5413,7473.3653,1432,9982.8962,8212,764

2.7182,<;H!i,6ÎO.','j^'i2,0022.58.3._.2,5672.5522.5392,528

2.5182,5082,5002,4922,4852,4792,4732,4672,467.2,457

2,32634

0,01

63,6579,9255,84!4,6044,032'3.7073,4993,3553.250

TTCT

JJJ2L.3.0553.012.•.,-' 1 12,947

..'iSiy2,8962.8782,8612.845

2,8312,8192,8072,7972.7872,7792,7712;7632,7562.750

2,57582

\aia. — v est le nombre de degrés de liberté.