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-"'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€ 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"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"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€ 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€ 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€ 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"96 1.9't 1.91 1.87
4.1 3"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€ 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"23 2"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":tll
','ffi
]-r.,
lt;*
ltii,i,#
ffi,.,ffi
'#ffi
t;,,,,,,,
4
..'.',;
í!'fii,"fr,
#
"#
#
ífi
,t§'
,,,1.-7:
#
ffi
'.4!ê
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i$p,
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#
iffi
ffi,rll:w
i,Wi
tffi
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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/" 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 9,2367,841 10,64s
9,037 12,017
t0,2t9 13,362
I I,389 14,684
12,549 15,987
13,701 17,275
14,845 18,549
15,984 19,812
17 ,117 21,064
18,245 22,307
19,369 23,542
20,489 24,769
21,605 25,989
22,71E 27,204
23,828 28,412
24,935 29,615
26,039 30,813
27,141 32,007
28,241 33,196
29,339 34,382
30,43s 35,s63
3r,528 36,741
32,620 37,916
33,711 39,087
34,800 40,256
45,616 51,805
56,334 63,167
66,98t 74,397
77,577 85,527
88,130 96,s78
98,650 107,565
109,141 I 18,498
3,841 5,024
5,991 7,378
7,815 9,348
9,488 1 1,143
11,070 12,832
t2,s92 14,449
14,067 16,013
r 5,so7 il ,sls
t6,919 19,023
18,307 20,483
19,675 21,920
21,026 23,337
22,362 24,736
23,685 26,119
24,996 27,488
26,296 28,845
27,587 30,191
28,869 3t,s26
30,144 32,852
31,410 34,170
32,671 t5,479
33,924 36,781
35,172 38,076
36,4rs 39,364
37,6s2 40,646
38,885 41,923
40,r 13 43,195
41,337 44,461
42,557 45,'722
43,773 46,979
55,758 59,342
67,505 71,420
79,082 83,298
90,s31 95,023
101,879 106,629
I 13,145 I 18,136
124,342 129,561
6,63s 7,879
9,210 10,597
1r,345 12,838
13,277 14,860
1s,086 16,750
16,812 18,548
18,475 20,278
20,090 21,955
21,666 23,s89
23,209 25,188
24,'.72s 26,7s7
26,217 28,300
27,688 29,819
29,141 3l,319
30,s78 32,801
32,000 34,267
33,409 35,718
34,805 37,156
36,191 38,582
17,s66 39,997
38,932 4t,40t
40,289 42,796
41,638 44,181
42,980 45,5s8
44,314 46,928
4s,@2 48,290
46,963 49,@5
48,278 50,994
49,s88 52,335
50.892 53,672
63,691 66,766
76,1s4 79,490
88,379 91,952
100,42s 104,215
112,329 Ú6,321
t24,tr6 128,299
135,807 140,170
I
2
J
4
5
6
7
8
9
10
ll
12
l3
14
15
l6
17
l8
19
20
21
22
t3
24
)<
26
27
28
29
30
40
50
60
70
80
90
100