Tabelas Econometria
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Tabelas Econometria


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374 Estatístíq aplicada à gestáo empresaríal " Brui
Tabela "t" de Student
Graus
de
liherdade
(n-í)
a Bicaudal
o,Í0 o,09 0,08 o,o7 0,05 0,05 0,04 0,03 0,02 0,01
a Unicaudal
o,05 0,@5 o,{r4 0,035 0,03 0,025 o,o2 0,0Í5 0,01 0,005
1 6,3137 7.0264 7,9158 9,0579 10,578 12,706 15,894 21,245 31,821 63,655
2 2,9200 3,1040 3,3198 3.5782 3,896/. 4,3D27 4,W7 5,6428 6.9645 9,9250
3 2,3534 2,4708 2.6054 2.7626 2,9505 3,1824 3,4819 3,8961 4,5407 5.8408
4 2,1318 2,2261 2,3329 2,4559 2,6008 2,7765 2,9985 3,29V6 3.7469 4,60É1
5 2,0150 2,O978 2,1910 2,2974 2,4216 2,5706 2,7565 3,0029 3,3649 4.0321
6 1,9432 2,0192 2,10/: 2,2011 2.3133 2,4/,69 2.6122 2,8289 3,1427 3,7074
7 1,8946 1,9662 2,046§ 2,1365 2,2409 2.3il6 2,s168 2,7146 2,9979 3,4995
I 1.8595 1,9280 2,40É.2 2,0902 2,1897 2.3060 2,4490 2,6338 2,8965 3,3554
9 1.833Í 1.A992 1,9727 2.4554 2,1544 2,2622 2,3984 2,5738 2,8714 3,2498
í0 1,8125 1,8768 1,9481 2,0283 2,1202 2.2281 2,3593 2.,5275 2,7638 3,1693
11 1,7959 1.8588 1,9284 2,4067 2,0961 2,2014 2,3281 2,4907 2,7181 3.1 058
12 1,7823 1.8444 1,9123 1,9889 2,07il 2,1788 2,3027 2,4607 2,6810 3,4545
í3 1,7709 1.8317 1,8989 1,9742 2,0500 2,1644 2,2816 2,4358 2,6503 3,0123
14 1,7613 1,8213 1,8875 1.9617 2,0462 2.1448 2,2638 2.4149 2,6245 2,9768
T5 1,7531 1,8123 1,8777 1,9509 2,0343 2,1315 2,248.5 2,3970 2,6025 2.9467
15 1,7459 1,8046 1,8693 1,9417 2,0240 2,1199 2,2354 2.3815 2,5835 2,92A8
17 1,7396 1,7978 1,8619 1,9335 2,O150 2,1098 2.2238 2,3681 2,5669 2,8982
18 1,7341 1,79't8 1,8553 1,926/ 2,0471 2,1009 2,2137 2,3562 2,5524 2,87W
19 1.7291 1,7464 1,8/;95 1,9200 2,0000 2,0930 2,204.7 2,3457 2,5395 2,8609
20 1,7247 1.7816 1,8443 1.9143 1,9937 2,0850 2,1967 2,3362 2,5280 2,M-53
21 1,72A7 1,7773 r.8397 1,9092 1,9880 2,0796 2,1894 2,3278 2,5176 2,8314
22 1 ,7171 1,7734 1.8354 1,90/5 1,9829 2,O739 2,1829 2,3202 2,5083 2,8188
23 1,7139 1,7699 1,8316 1,9003 1,9783 2,0687 2.1770 2.3132 2,4999 2,8073
24 1,7109 1.7667 1,8281 1,8965 1,9740 2,0639 2,1715 2.3069 2,4922 2,7970
25 1.7081 1,7637 1,8248 1,8929 1,9701 2,4595 2,1656 2,3011 2,4851 2,7874
26 1,7056 1,7610 1,8219 1,8897 1,9665 2,0555 2,1620 2,2958 2,4786 2,7787
27 1,7033 1,7585 1,8191 1,8867 1,9632 2,0518 2,1578 2,2909 2,4727 2,7707
28 1,701 1 1,7561 r,8166 1,8839 1.9ffi1 2,0484 2,1539 2,28@. 2,467,l. 2,7633
29 Í,6991 1,7540 1,8142 1.8813 1,9573 2,0452 2.1 503 2,2822 2,4620 2.7'il
30 1,6973 1,7520 1,8120 1,8789 1,9546 2,04,23 2,1470 2,2783 2,4573 2,750A
,0000 1,6/50 1,6956 1,7509 1,8121 1,8810 1,9@2 2,0540 2,1704 2,3267 2,5763
t-
.^,.,.^^- .^.-.- 1
Distribuição F com v1 graus de liberdade no numerador e v2 graus no denominador
Tabela com percentis 95% da distribuição F
Exemplo
SeXtem distribuição F com 4graus no numeradore 3 graus nodenominador, Pr( X< = 9.12) =95%
v1 4:: 
=
+ iiiilül;,': r5 ;..:.j:::;:,§; I i,:.1. ifl lf-&quot;'rl i,lli::W.,,.i:1! l{l:t l!:titt:l ilr: ,,, i:,:lll|l I i1tí:lnÍ;2.:,,:. -.:ü#::E 1;.:.,Wl .: ,':4,: :,'.:*5
v2
0
161.45 199.5C 215.71 224.58 230.16 233.99 236.77 238.88 240.54 241.88 242.98 243.90 245.95 248.O2 249.05 249.26 250.10
18.51 19.0C 19.16 19.25 19.30 19.33 19.35 19.37 19.38 19.40 19.40 19.41 19.43 19.45 19.45 19.46 19.46
10.1 ORÃ 9.28 9.12 9.01 8,94 8.89 8.85 8.81 8.79 8.76 8.74 8.70 8.66 8.64 8.63 8.62
7.71 6.94 6.59 6.39 6.26 6.16 6.09 6.04 6.00 5.96 5.94 5.91 5.86 5.80 5.77 5.77 5.75
6.61 5.79 5.41 5.19 5.05 4.95 4.88 4.82 4.77 4.74 4.70 4.68 4.62 4.56 4.53 4.52 4.50
5.99 5.14 4.76 4.53 4.39 4.28 4.21 4.1s 4ia 4.06 4.03 4.00 3.94 3.87 3.84 3.83 3.81
5.59 4.74 4.35 4.12 3.97 3.87 3.79 3.73 3.68 3.64 3.60 3.57 3.51 3.44 3.41 3.40 3.38
5.32 4.4e 4.07 3.84 3,69 3.58 3.50 3.44 3.39 3.35 3.31 3.28 3.22 3.1 5 3.12 3.11 3.08
5.12 4.2C. 3.86 3.63 3.48 3.37 3.29 3.23 3.18 3.14 3.10 3.07 3.01 2.94 2.90 2.89 2.86
4.96 4.14 3.71 3.48 3.33 3.22 3.14 3.07 3.02 2.98 2.94 2.91 2.85 2.77 2.74 2.73 2.70
4.84 3.98 3.59 3.36 3.20 3.09 3.01 2.95 2.90 2.85 2.82 2.79 2.72 2.65 2.61 2.60 2.57
4.75 3.89 3.49 3.26 3.11 3.00 2.91 2.85 2.80 2.75 2.72 2.69 2.62 2.54 2.51 2.50 2.47
4.67 3.81 3.41 3.18 3.03 2.92 2.83 2.77 2.71 2.67 2.63 2.60 2.53 2.46 2.42 2.41 2.3e
4.60 3.74 3.34 3.11 2.96 2.85 2.76 2.70 2.65 2.60 2.57 2.53 2.46 2.39 2.35 2.34 2.31
4.54 3.68 3.29 3.0\u20ac 2.90 2.79 2.71 2.64 2.59 2.54 2.51 2.48 2.40 2.33 2.29 2.28 2.25
4.49 3.63 3.24 3.01 2.8a 2.74 2.66 2.59 2.54 2.49 2.4e 2&quot;42 2.35 2.28 2.24 2.23 2.19
4.45 3.59 3.20 2.9e 2.81 2.70 2.61 2.55 2.49 2.45 2.41 23e 2.31 2.23 2.19 2.1 2.15
4.41 3.55 3.16 2.93 2.77 2.6e 2.58 2.51 2.46 2.41 2.37 2.34 2.27 2.19 2.15 2.14 2.11
4.38 3.52 3.1 2.9C 2.74 2.63 2.54 2.48 2.42 2.3e 2.34 2.31 2.23 2.16 2.11 2.11 2.07
4.35 3.49 3.10 2.87 2.71 2.6C 2.51 2.45 2.39 2.3a 2.31 2.2e 2.2C 2.12 2.08 2.O7 2.04
4.32 3.47 3.07 2.84 2.6e 2&quot;57 2.49 2.42 2.37 2.32 2.28 2.25 2.1 2.10 2.05 2.Oa 2.01
4.30 3.44 3.05 2.82 2.6\u20ac 2.54 2.46 2.40 2.34 2.3C 2.2Ê 2.23 2.14 2.O7 2.03 2_02 1.98
4.28 3.42 3.03 2.8C 2.64 2.5?, 2.44 2.37 2.32 2.27 2.24 2.2C 2.13 2.O5 2.01 2.0c 1.96
4.2e 3.40 3.01 2.78, 2.62 2.51 2.42 2.36 2.3C 2.25 2.22 2.1 2.11 2.03 1.9\u20ac 1.97 1.94
4.24 3.39 2.99 2.7e 2.6C 2.49 2.40 2.34 2.28, 2.24 2.24 2.16 2.09 2.01 1.9\u20ac 1.96 1.92
4.23 3.37 2.98, 2.74 2.59 2.47 2.39 2.32 2.27 2.22 2.18 2.15 2.07 1.99 1.95 1.94 1.90
4.21 3.35 2.9C 2.73 2.57 2.4e, 2.37 2.31 2.25 2.24 2.17 2.1 2.0e 1.97 1.93 1.92 1.88
4.2C 3.34 2.95 2.71 2.56 2.45 2.3C 2.29 2.24 2.19 2.15 2.12 2.04 1&quot;96 1.9't 1.91 1.87
4.1 3&quot;33 2.93 2.70 2.55 2.43 2.35 2.28 2.22 2.18 2.14 2.10 2.03 1.94 1.9C 1.89 1.85
4.17 3.32 2.92 2.69 2.53 2.42 2.33 2.27 2.21 2.16 2.13 2.09 2.01 1.93 í.89 1.8\u20ac 1.84
4.1 3.27 2.87 2.64 2.49 2.37 2.29 2.22 2.16 2.11 2.07 2.04 1.96 1.88 1.83 1.82 1.79
4.08 3&quot;23 2&quot;84 2.61 2.45 2.34 2.25 2.18 2.12 2.08 2.O4 2.00 1.92 1.84 1.79 1.7e 1.74
illr.iij ,l::.W&quot;:tll
','ffi
]-r.,
lt;*
ltii,i,#
ffi,.,ffi
'#ffi
t;,,,,,,,
4
..'.',;
í!'fii,&quot;fr,
#
&quot;#
#
ífi
,t§'
,,,1.-7:
#
ffi
'.4!ê
',:,?fi.
-::,i
i$p,
,#
UW
#
iffi
ffi,rll:w
i,Wi
tffi
fs
.áE
TABELA IV
Distribuição do Qui-Quadrado - 261
Os valores tabelados correspondem aos pontos.r tais que: P( X,i <r)
P(xi < 
^)
'?3*/. Xretx ln/&quot; orís2
n o,ooí õ,ót 0,025 0,0s 0,1 o,25 0,s 0,7s 0,9 0,95 0,97s 0,99 0,995
1
a
3
4
5
6
7
8
9
10
lt
l2
13
14
15
l6
t7
l8
l9
20
21
22
23
24
25
26
27
28
29
30
40
50
60
70
80
90
100
3,93E-05
0,010
,0,072
0,207
0,412
0,676
0,989
1,344
1,'t35
2,156
2,603
3,074
3,565
4,075
4,601
5,142
5,697
6,265
6,844
7,434
8,034
8,643
9,260
9,886
10,520
I 1,160
r l,808
12,461
13,121
13,787
20,707
27,991
15,5]4
43,275
51,172
59,196
67.328
0,016
0,21 I
0,584
1,064
1,610
2,204
2,833
3,490
4,1 68
4,865
5,578
6,304
7,O41
7,790
8,547
9,312
10,0E5
10,865
l r ,651
12,443
13,240
r4,041
14,848
1 5,659
16,473
17,292
l8,l l4
18,939
19,768
20,599
29,051
37,689
46,459
55,329
64,278
73,291
82,358
0,i02
0,575
t,213
1,923
2,675
3,4s5
4,255
s,071
5,899
6,737
7,584
8,438
9,299
10,1 65
1 1,037
11,912
12,792
13,675
14,s62
15,452
16,344
t'I,240
I 8,1 37
19,037
19,939
20,843
21,749
22,657
23,567
24,478
33,660
42,942
s2,294
61,698
7 t,145
80,625
90, I 33
0,455
1,386
2,366
3,357
4,351
5,348
6,346
7,344
8,343
9,342
10,341
I 1,340
12,340
13,339
14,339
15,338
16,338
17.338
18,33E
t9,337
20,337
21,337
22,337
z),J J I
24,337
25,336
26,336
27,336
28,336
29,336
1S 115
49,335
59,335
69.334
79,334
89,334
99,334
0,0001s7 0,000982 0,003932
0,020 0,051 0,103
0,1ls 0,216 0,352
0,297 0í84 0,711
0.554 0,831 1,145
0,872 1,237 1,635
1,239 1,690 2,167
1,647 2,180 2,733
2.088 2,700 3,32s
2,558 3,247 3,940
3,053 3,816 4,575
3,571 4,404 5,226
4,107 5,009 5,892
4,660 s,629 6,571
5,229 6,262 'l,261
5,812 6,908 7,962
ó,408 7,564 8,672
7,015 8,23 r 9,390
7,633 8,907 10,117
8,260 9,591 10,851
8,897 10,283 11,591
9,s42 10,982 12,338
t0,196 11,689 13,091
10,856 t2,401 13,848
11,524 13,120 14,611
12,198 13,844 1s,379
12,878 14,573 16,15l
13.565 15,308 16,928
14,256 16,047 17,708
14,953 16,791 18,493
22,1@ 24,433 26,509
29.707 32,357 34,764
37,485 40,482 43,188
45,442 48,758 s1,739
53,540 57,ls3 60,391
61,754 65,&7 69,126
70,065 74,222 .77,929
7,323 2,706
2,773 4,605
4,108 6,2s1
5,385 7,779
6,626 9,236