EJt",plo J

':.o, os. 1,94]

DISTRlBUCllm F DE SNEDECOR. Nhtl dt dlaJncacl6a 0,05

[Jtmplo0.01

I I 1"::; = 3.22

1.943

EJt",plo 1 ,:.OSll = 2 ,4.47 ~

- _ . 3.22 O,02S

/ GrgdOJ dt Grado! dt Ji~ndd dtl tlumtrtuJor i!: libmoddtl2,441 ,dtnomlnQd or I I I l 6 7 I 9 10 Il Il 10 14 JO 4lI 60 110 ~

Probab itidades I 161.40 199,'0 1Il,70 11' .60 110.20 lH .oo ll6.10 llJ ,9O 140,'0 ~1.9O W.9O 24' .90 1'1.00 1'9,10 1'0.10 111,10 m .lO 211.10 m,1O

G.L. I I lUI 19,00 19.16 19.2' 19.10 19.11 19.1l 19.11 19.11 19,40 19,41 19•.0 19." 19." 19,46 19,41 19.'1 19.<49 19,'0 O,2S 0,20 O,IS 0,10 O.OS O,01S 0,01 0,005 0,0001 I 10.I! 9,ll 9.11 9.1l 9.01 1,94 1.19 I.Il 1.11 1,79 ',74 ' .10 1.66 1.64 1.61 1.'9 I .ll Ul I .ll

1.11 '6.94 6.l9 6,)9 6.26 6.16 6.09 6.6l 6.00 l .96 l.91 l .16 l .1O 1.11 l.ll l .ll 1.69 l .66 l .OI • 1,000 1,316 1,963 3,018 6.314 12,106 31,821 63,611 636,619 l 6.61 1.19 i ,e! 1.19 l.OI ' .91 4,88 ".11 4,n ".14 <.61 . ,62 .,56 4.n (SO .. .4) ' .40 ".)6'."

1,386 1,920 31,1980,816 1,061 1,886 4,303 6.961 9,925 0,918 1,210 1,638 2,3H 3,182 4,541 S,841 12.941 6 1.99 l ,I< ",16 ...n 4,39 4,21 4,11 " ,IS 4,10 ',06 ',00 1,94 l .81 1,14 l.1I l,11 l,H 1,70 1.61

0,141 0,941 1,190 1.533 O,16S

2,132 2,176 3,141 4,604 8,610 1 U9 4,1.4 ,US " .12 ),91 ) ,81 ),19 I ,ll 1.61 J.64 Ul I,ll I." 1,41 UI ].]4 1,10 l .ll UI

0,121 0,920 1,IS6 1,476 2,O\S 2,571 3,361 4 ,032 6,859 I s.n ",01 1,14 1.69 1.11 1.10 I ." U9 U l 1.11 I ,ll Ul 1.1l I .OJ 1.6l 1.01 2,91 1.91 '." 9 S,I2 ' ,16 1.16 1.61 1.'1 i.n 1.19 I ,ll 1,11 1.1< 1.01 1.01 1.94 1.90 1,16 Ul 1.19 I,ll VI

0,718 0,906 1,134 1,440 1,943 1,447 3,143 3,707 1.919 10 4,96 ' ,10 1,71 3,4. Ul 1.11 1.U 1,01 1,01 1,91 1,91 Ul. 2.11 2,"- 2,10 1.66 2M UI 2J" 0,711 0,896 1,119 1,41S 1,89S 2.365 2,998 3,499 5,405

II ',14 1.91 l.l9 1,16 UO 1.09 1.01 2,91 1.90 HI 2.79 I ,ll 2.61 1.61 ~ .57 Ul 1.'9 I ." 1.40 II 4.H 1,19 1.'9 1.16 1.11 1.00 1.91 2.11 1.10 2.11 1.69 1.61 2,14 1.11 1.41 1." UI 2.U UO Il ".61 I,ll HI I ,ll 1.01 1.91 Ul 2,11 1.11 2,61 1,60 I ,ll I," 1.'1 UI U' I .JO l.ll 1.11 I< ' .60 l ,H ),].4 i.u 1.% I ,ll 1,76 1,10 2.6l 1.60 l.ll I ," 1.19 l .ll I,ll I,ll 2.22 1.11 1,I!

,U4 1.61 U9 1.06 1.90 1.19 I,ll 1.64 l.l9 ~.H 2,4' 1.40 'z.n 1,19 2.2l ~,20 1,16 z.u 1.01 II

OISTRlBUCION I DE STUDENT (CoaUauad6a)

G.L. Probabi/idade.s

O,2S

0,706

0.20

0,889

O,IS

1,108

0,10

1,397

O,OS

1,860

0,025

2,J06

0,01

2,896

0.005

3,3lS

O.OOOS

S.04I 8

DISTRI8UCION F DE SNEDECOR. Nlvel d••1101//<&<16. 0,05 (CootlouacI6a)

9 O,70J 0,883 1,100 I,J8J 1,8B 2,262 2,821 3,2 SO 4.781 Grtuios dt CruOJ dt li~t14d dtlllwmtr~d()/

10 0,100 0,879 1,093 1,312 1,812 2,228 2,164 3,169 4,S87 Ii~"addd ,1,796 2,201 2,718 3,106 4.437 d,rtomi,."dof 1 I I I 6 1 I 9 10 Il Il 10 2' lO 40 60 IlO ~

12 0,69S 0,873 1,083 I,H6 1,782 2.119 2,681 3,OS5 4.1I8 13 0,694 0,870 1,019 1,350 1,771 2,160 2,6S0 3,012 4,221 16 • ,49 1.61 1,24 1,01 1.1l 2,7• 1.66 1,19 l,l4 2,'9 2,ll I ,ll 1.11 2.2' 1,19 1.1l 2,11 1.06 1.01

14 0,692 0,868 1,076 1,34S 1,761 2,I4S 2,624 2,977 4,140 11 4,4) 1.19 UO 1.90 2.'1 1,10 1.61 I ,ll 1,'9 I ," I,ll 1.11 l.ll 1,19 1.1l 1,10 1.06 1,01 1.96

IS 0,691 0,866 1,01. 1,341 1,1S3 2,131 2,941 4,073 II .,4' l .ll 1.16 1.91 2.11 1.66 UI I ,ll I." 1,41 1.14 2.21 1.19 1.1l 1.11 1.06 l.OI 1.91 1.91

II 0,697 0,876 1,088 1,363

. 1,602

19 l.ll 1.1l 1,90 2,14 1,61 2,U l ,U 1,'1 I,ll z.n I ,ll 1,16 1.11 1.01 1,01 1,91 1,91 1.1116 0,690 0,865 1,011 1,331 1,746 2,120 2,S83 2,921 4.01S u_

lO . ,J) 1,.9 ),10 Ul 2.71 2.60 2.11 I," 1,19 l.ll I,ll l ,lO z.n 1,01 1,6l 1,99 1,91 1,90 1.1411 0,689 0.863 1,069 I,B3 1,740 2,110 2,S61 2,898 3.96S

18 0,688 0,862 1,061 1,330 1,734 2.101 2,Sn 2,818 3,922

19 0,688 0.861 1,066 1,328 1,129 2,093 2,539 2,861 3,881 II 01 1.<1 1.01 1.14 1.61 l .ll 1,49 l .ll i.n 1.1l 2,ll 1.11 1.10 1.01 1.01 1.96 1,91 1.1l 1.11

20 0,687 0,860 1,064 1,32S 1,72S 2,086 2,S28 2,84S J.8 S0 II ",)0 I." 1.01 1.1l 1.66 1.11 I." 1.40 I.H I.JO i ,n 1.11 1.U1 1.01 1.91 1.94 1.19 1.14 1.11

II ' .11 1,'1 1.01 UO 1.64 I ,ll I." l ,n z.n I ,ll l.lD z.u 2,05 1.01 1,96 1,91 1,16 I,ll 1.16 1\ 0,686 0,859 1,063 1,323 1,721 2,080 2,S 18 2,811 3,819

14 .,26 1,40 1.01 I ,ll l.61 UI 2,42 1.16 UO l .ll i.u z.u 1,01 1.91 1.94 1.19 1.14 1,19 I,n22 0.686 O,8S8 1,061 1,321 1,111 2,074 2,S08 2,819 3,792

II 1,19 1.99 1,16 1,60 2,.9 1,40 I ,H l.lJ 2.24 1.16 1.09 1.01 1.96 1,91 I,ll r.u 1,11 1.712J O,68S O,8S8 1,060 1,1I9 1,114 2.069 2,500 2,807 3,761 '.~

24 O,68S 0.817 I,OS9 1,318 1,711 2,064 2,492 2,397 3.741

H 0 ,6114 O,8S6 1,018 1,1I6 1,708 1.060 2,48l 2,787 3.121 lJ ".1) ).Jl 2,91 2,'" 2,59 2,47 U9 I ,ll 2,27 l .ll 2.15 1,U1 1.99 1.9l 1,90 I,ll 1.10 1,7) 1.69 11 4,21 i.n 1.96 l,n Ul I," l,n 1.1I I,ll l.lD 1.1l 1,06 1.91 1,91 I,ll 1,14 1,19 I,n 1,61

26 0.6114 0,8\6 I,OS8 r.ns 1,106 2,OS6 2,479 2,179 3,107 II ',lD ) ,).4 1.91 1.11 l,l6 2,4' 1,16 1.19 1.2' 1,19 1.1l 1,6l 1,96 1,91 1.81 1.11 1.17 r.n 1.6'

21 0,6114 0.855 1,057 1,1I4 1,703 2,051 2,473 2.711 3,690 19 '4.11 i.n 1.91 1,10 U' 2.• ' l .ll UI l .ll l.1I 2.10 1.01 1.94 1.90 1.11 1.11 1.11 1,10 1,64

28 0.683 O,85S I,OS6 \,313 1,101 2,048 2.467 2,763 3.674 10 . ,11 l .n l .n 1.69 l .ll l .ll l.ll l .ll I,ll 1.16 1,09 1.01 1.91 1.19 1.14 1.19 1,14 1,61 1.61

29 0,683 O,8H 1,051 1,311 1,699 2.04\ 2,462 2,716 3,6\9

30 O,68J 0,854 I,OlS 1,310 1,697 2,042 2,457 2,7\0 3.646 4lI '.OJ l .ll 2,·U I ,H l.ll 1.11 I,ll I ,Di 1.00 1,91 1,14 1,19 1.74 1,69 1,64 UI I,ll

40 0,681 O,8S1 I,OSO 1,303 1,684 2,423 2,104 USI ~I,61 60 ' ,00 1.11 1,16 Ul 1,l1 I ,ll 1.11 1.10 2.6l 1.99 1.91 1,14 I,ll 1.10 1.61 1,'9 I.ll 1,47 1.19

60 0,679 0,848 1,046 1,296 1,67\ I~ 2,390 2,660 3,460 IlO I.n 1.U1 1.61 I." 1.19 2.11 I.QIl 2,01 1.96 1.91 1.11 I.ll 1.66 1,61 I.ll l ,lD 1.43 I.ll I.ll

0.677 0,841 1,041 1,289 1,6S8 2,358 2,617 3.J13120 ~ . 1.14 1,00 1,60 l .n z.n 1,10 2,01 1,94 1.11 1.1l I,ll 1.67 r.n I,ll I," 1,19 I,ll I,ll 1,00

0,674 0,1142 1,036 1,282 1,64S 1,960 2,326 2,S76 J,29100

' - ,',! . ·"?h#' WMe ,.:,.'" ':'j·'.i'\:f::'iJ:,lr,Q"· ' ;m(J ,h~Rt;If.~.?,f';: :- · .",~"," ' 'i':' """ '.""f,~,, '

------ ----------

\; = 12.59

~'.~ ~ 12.59

\G.L. I

0.995 0.990 0.975 0.950 0.900

Probabilidades

0.750 0.500 O.lSO 0.100 0.050 0.025 0.010 0.005

1

(j) 3 4

0.0"393

0.0100

0.0717

0.207 0,412

0.ol157

0.0201

0.115 0.297

0. 554

0.ti982 0.0506

0.216 0.484 0,831

o.o's 0.103

0.352 0.711 1.145

0.0158

0.211

0.584

1.064 1.610

'0. 102

0.575 1.21)

1.923

2.67

0.455

1.386

2.37

3.36 4.35

1.323

i.n 4.11

5.39 6.63

2.71 4.61 6.25 7.78

9.24

3.84

@ 7,81

9,49

Il.07

5.02 7.38 9,35

11.14

12.83

6.63 9.21

11.34

13.28

15.09

7.88 10.60 12.84 1.1 .86

16.75

6 7

8

9 10

0.676 0.989 1,344

1.735 2.16

0.872 1.239

1.646 2.09 2.56

1.237 1.690

2.18 2 ,70

3.25

1.635 2.17 2,73

3.33

3.94

2,20 2,83 3,49

4.17 4.87

3.45 4,25

5.07 5,90

6.74

5.35 6.35 7.34 8,34 9,34

7,84

9,04

10.22

11.39 12,55

10,64

12.02 . 13.36 14.68

15.99

12.59 14.07

15.51

16.92 18.31

14,45

16.01

17.53 19.02 20,S

16.81 18.J8

20.1 21.7

23.2

18.55 20.3 22.0

23.6 25.2

DlSTRIBUaON CHI-CUADRADO (xl) (Coatillu.acicla)

GL l Probabilidades

! 0 ,995 0 .990 0.975 0.950 0.900 0,750 0.500 0.250 0,100 . 0.050 0.025 0.010 0.005

I I : 2.60 3.05 3.82 4.57 5.58 7,58 10.34 13.70 17.28 19.68 21.9 24.7 26.8

12 \ 3.07 3.57 4.4{) 5.23 6.30 8.44 11.34 14.85 18.55 21.0 23,3 26.2 28.3

13 3.57 4.11 5,01 5.89 7.04 9.30 12.34 l5,98 19,81 22.4 24.7 27.7 29.8

14 1 4,07 4.66 5.63 6.57 7,79 10.17 13.34 17.12 21.1 23.7 26.1 29.1 31.3

15 4,60 5.23 6.26 7.26 8.55 11.04 14,34 18.lS 22.3 25.0 27.5 30.6 32.8

16 5, J 4 5.81 6.91 7.96 9,3 I 11.91 15,34 19,37 23.5 26,3 28,8 32.0 34.3

17 5.70 6.41 7.56 8.67 10.09 12,79 16.34 20.5 24,8 27.6 30,2 33,4 35.7 18 6.26 7.01 8,23 9.39 10.86 13.68 17,34 21.6 ' 26,0 28.9 3U 34.8 37.1 19 6,S4 7.63 8.91 10.12 11.65 14,56 18.34 22.7 7:7 .2 30,1 32.9 36,2 38.6 20 7.43 8.26 9.59 10.85 12.44 15.45 19.34 23.8 28.4 31.4 34.1 37.6 40.0