TABELAS
Tabela 3 – Distribuição normal: função densidade
Tabela 4 – Distribuição normal: função de distribuição
Tabela 5 – Distribuição normal: Φ −1 ( z )
Tabela 6 – Distribuição do qui-quadrado
Tabela 7 – Distribuição t-Student
Tabela 8 – Distribuição F-Snedcor
1
TABELA 3 – DISTRIBUIÇÃO NORMAL – Função densidade
φ ( z) =
2
1
2π
e −z
2
/2
z
.00
.01
.02
.03
.04
.05
.06
.07
.08
.09
.0
.1
.2
.3
.4
.3989
.3970
.3910
.3814
.3683
.3989
.3965
.3902
.3802
.3668
.3989
.3961
.3894
.3790
.3653
.3988
.3956
.3885
.3778
.3637
.3986
.3951
.3876
.3765
.3621
.3984
.3945
.3867
.3752
.3605
.3982
.3939
.3857
.3739
.3589
.3980
.3932
.3847
.3725
.3572
.3977
.3925
.3836
.3712
.3555
.3973
.3918
.3825
.3697
.3538
.5
.6
.7
.8
.9
.3521
.3332
.3123
.2897
.2661
.3503
.3312
.3101
.2874
.2637
.3485
.3292
.3079
.2850
.2613
.3467
.3271
.3056
.2827
.2589
.3448
.3251
.3034
.2803
.2565
.3429
.3230
.3011
.2780
.2541
.3410
.3209
.2989
.2756
.2516
.3391
.3187
.2966
.2732
.2492
.3372
.3166
.2943
.2709
.2468
.3352
.3144
.2920
.2685
.2444
1.0
1.1
1.2
1.3
1.4
.2420
.2179
.1942
.1714
.1497
.2396
.2155
.1919
.1691
.1476
.2371
.2131
.1895
.1669
.1456
.2347
.2107
.1872
.1647
.1435
.2323
.2083
.1849
.1626
.1415
.2299
.2059
.1826
.1604
.1394
.2275
.2036
.1804
.1582
.1374
.2251
.2012
.1781
.1561
.1354
.2227
.1989
.1758
.1539
.1334
.2203
.1965
.1736
.1518
.1315
1.5
1.6
1.7
1.8
1.9
.1295
.1109
.0940
.0790
.0656
.1276
.1092
.0925
.0775
.0644
.1257
.1074
.0909
.0761
.0632
.1238
.1057
.0893
.0748
.0620
.1219
.1040
.0878
.0734
.0608
.1200
.1023
.0863
.0721
.0596
.1182
.1006
.0848
.0707
.0584
.1163
.0989
.0833
.0694
.0573
.1145
.0973
.0818
.0681
.0562
.1127
.0957
.0804
.0669
.0551
2.0
2.1
2.2
2.3
2.4
.0540
.0440
.0355
.0283
.0224
.0529
.0431
.0347
.0277
.0219
.0519
.0422
.0339
.0270
.0213
.0508
.0413
.0332
.0264
.0208
.0498
.0404
.0325
.0258
.0203
.0488
.0396
.0317
.0252
.0198
.0478
.0387
.0310
.0246
.0194
.0468
.0379
.0303
.0241
.0189
.0459
.0371
.0297
.0235
.0184
.0449
.0363
.0290
.0229
.0180
2.5
2.6
2.7
2.8
2.9
.0175
.0136
.0104
.0079
.0060
.0171
.0132
.0101
.0077
.0058
.0167
.0129
.0099
.0075
.0056
.0163
.0126
.0096
.0073
.0055
.0158
.0122
.0093
.0071
.0053
.0154
.0119
.0091
.0069
.0051
.0151
.0116
.0088
.0067
.0050
.0147
.0113
.0086
.0065
.0048
.0143
.0110
.0084
.0063
.0047
.0139
.0107
.0081
.0061
.0046
3.0
3.1
3.2
3.3
3.4
.0044
.0033
.0024
.0017
.0012
.0043
.0032
.0023
.0017
.0012
.0042
.0031
.0022
.0016
.0012
.0040
.0030
.0022
.0016
.0011
.0039
.0029
.0021
.0015
.0011
.0038
.0028
.0020
.0015
.0010
.0037
.0027
.0020
.0014
.0010
.0036
.0026
.0019
.0014
.0010
.0035
.0025
.0018
.0013
.0009
.0034
.0025
.0018
.0013
.0009
TABELA 4 – DISTRIBUIÇÃO NORMAL – Função de distribuição
Φ( z ) = P( Z ≤ z ) = ∫
z
−∞
1
2π
e−x
2
/2
dx
z
.00
.01
.02
.03
.04
.05
.06
.07
.08
.09
.0
.1
.2
.3
.4
.5000
.5398
.5793
.6179
.6554
.5040
.5438
.5832
.6217
.6591
.5080
.5478
.5871
.6255
.6628
.5120
.5517
.5910
.6293
.6664
.5160
.5557
.5948
.6331
.6700
.5199
.5596
.5987
.6368
.6736
.5239
.5636
.6026
.6406
.6772
.5279
.5675
.6064
.6443
.6808
.5319
.5714
.6103
.6480
.6844
.5359
.5753
.6141
.6517
.6879
.5
.6
.7
.8
.9
.6915
.7257
.7580
.7881
.8159
.6950
.7291
.7611
.7910
.8186
.6985
.7324
.7642
.7939
.8212
.7019
.7357
.7673
.7967
.8238
.7054
.7389
.7704
.7995
.8264
.7088
.7422
.7734
.8023
.8289
.7123
.7454
.7764
.8051
.8315
.7157
.7486
.7794
.8078
.8340
.7190
.7517
.7823
.8106
.8365
.7224
.7549
.7852
.8133
.8389
1.0
1.1
1.2
1.3
1.4
.8413
.8643
.8849
.9032
.9192
.8438
.8665
.8869
.9049
.9207
.8461
.8686
.8888
.9066
.9222
.8485
.8708
.8907
.9082
.9236
.8508
.8729
.8925
.9099
.9251
.8531
.8749
.8944
.9115
.9265
.8554
.8770
.8962
.9131
.9279
.8577
.8790
.8980
.9147
.9292
.8599
.8810
.8997
.9162
.9306
.8621
.8830
.9015
.9177
.9319
1.5
1.6
1.7
1.8
1.9
.9332
.9452
.9554
.9641
.9713
.9345
.9463
.9564
.9649
.9719
.9357
.9474
.9573
.9656
.9726
.9370
.9484
.9582
.9664
.9732
.9382
.9495
.9591
.9671
.9738
.9394
.9505
.9599
.9678
.9744
.9406
.9515
.9608
.9686
.9750
.9418
.9525
.9616
.9693
.9756
.9429
.9535
.9625
.9699
.9761
.9441
.9545
.9633
.9706
.9767
2.0
2.1
2.2
2.3
2.4
.9772
.9821
.9861
.9893
.9918
.9778
.9826
.9864
.9896
.9920
.9783
.9830
.9868
.9898
.9922
.9788
.9834
.9871
.9901
.9925
.9793
.9838
.9875
.9904
.9927
.9798
.9842
.9878
.9906
.9929
.9803
.9846
.9881
.9909
.9931
.9808
.9850
.9884
.9911
.9932
.9812
.9854
.9887
.9913
.9934
.9817
.9857
.9890
.9916
.9936
2.5
2.6
2.7
2.8
2.9
.9938
.9953
.9965
.9974
.9981
.9940
.9955
.9966
.9975
.9982
.9941
.9956
.9967
.9976
.9982
.9943
.9957
.9968
.9977
.9983
.9945
.9959
.9969
.9977
.9984
.9946
.9960
.9970
.9978
.9984
.9948
.9961
.9971
.9979
.9985
.9949
.9962
.9972
.9979
.9985
.9951
.9963
.9973
.9980
.9986
.9952
.9964
.9974
.9981
.9986
3.0
3.1
3.2
3.3
3.4
.9987
.9990
.9993
.9995
.9997
.9987
.9991
.9993
.9995
.9997
.9987
.9991
.9994
.9995
.9997
.9988
.9991
.9994
.9996
.9997
.9988
.9992
.9994
.9996
.9997
.9989
.9992
.9994
.9996
.9997
.9989
.9992
.9994
.9996
.9997
.9989
.9992
.9995
.9996
.9997
.9990
.9993
.9995
.9996
.9997
.9990
.9993
.9995
.9997
.9998
TABELA 5 – DISTRIBUIÇÃO NORMAL: Φ −1 ( z )
ε
.0005
zε
zε 2
3.290
3.090
2.576
2.326
2.054
1.960
1.645
1.282
.842
.524
.253
3.481
3.290
2.807
2.576
2.326
2.241
1.960
1.645
1.282
1.036
.842
.0010
.0050
.0100
.0200
.0250
.0500
.1000
.2000
zε : P ( Z > zε ) = ε ; zε / 2 : P ( | Z | > zε / 2 ) = ε .
3
.3000
.4000
TABELA 6 – DISTRIBUIÇÃO DO QUI-QUADRADO
χ n2.ε : P( X > χ n2.ε ) = ε
ε
.995
.990
.975
.950
.900
.750
.500
.250
.100
.050
.025
.010
.005
.001
n
4
1
2
3
4
5
.000
.010
.072
.207
.412
.000
.020
.115
.297
.554
.001
.051
.216
.484
.831
.004
.103
.352
.711
1.145
.016
.211
.584
1.064
1.610
.102
.575
1.213
1.923
2.675
.455
1.386
2.366
3.357
4.351
1.323
2.773
4.108
5.385
6.626
2.706
4.605
6.251
7.779
9.236
3.841
5.991
7.815
9.488
11.070
5.024
7.378
9.348
11.143
12.832
6.635
9.210
11.345
13.277
15.086
7.879
10.597
12.838
14.860
16.750
10.827
13.815
16.266
18.466
20.515
6
7
8
9
10
.676
.989
1.344
1.735
2.156
.872
1.239
1.647
2.088
2.558
1.237
1.690
2.180
2.700
3.247
1.635
2.167
2.733
3.325
3.940
2.204
2.833
3.490
4.168
4.865
3.455
4.255
5.071
5.899
6.737
5.348
6.346
7.344
8.343
9.342
7.841
9.037
10.219
11.389
12.549
10.645
12.017
13.362
14.684
15.987
12.592
14.067
15.507
16.919
18.307
14.449
16.013
17.535
19.023
20.483
16.812
18.475
20.090
21.666
23.209
18.548
20.278
21.955
23.589
25.188
22.457
24.321
26.124
27.877
29.588
11
12
13
14
15
2.603
3.074
3.565
4.075
4.601
3.053
3.571
4.107
4.660
5.229
3.816
4.404
5.009
5.629
6.262
4.575
5.226
5.892
6.571
7.261
5.578
6.304
7.041
7.790
8.547
7.584
8.438
9.299
10.165
11.037
10.341
11.340
12.340
13.339
14.339
13.701
14.845
15.984
17.117
18.245
17.275
18.549
19.812
21.064
22.307
19.675
21.026
22.362
23.685
24.996
21.920
23.337
24.736
26.119
27.488
24.725
26.217
27.688
29.141
30.578
26.757
28.300
29.819
31.319
32.801
31.264
32.909
34.527
36.124
37.698
16
17
18
19
20
5.142
5.697
6.265
6.844
7.434
5.812
6.408
7.015
7.633
8.260
6.908
7.564
8.231
8.907
9.591
7.962
8.672
9.390
10.117
10.851
9.312
10.085
10.865
11.651
12.443
11.912
12.792
13.675
14.562
15.452
15.338
16.338
17.338
18.338
19.337
19.369
20.489
21.605
22.718
23.828
23.542
24.769
25.989
27.204
28.412
26.296
27.587
28.869
30.144
31.410
28.845
30.191
31.526
32.852
34.170
32.000
33.409
34.805
36.191
37.566
34.267
35.718
37.156
38.582
39.997
39.252
40.791
42.312
43.819
45.314
21
22
23
24
25
8.034
8.643
9.260
9.886
10.520
8.897
9.542
10.196
10.856
11.524
10.283
10.982
11.689
12.401
13.120
11.591
12.338
13.091
13.848
14.611
13.240
14.041
14.848
15.659
16.473
16.344
17.240
18.137
19.037
19.939
20.337
21.337
22.337
23.337
24.337
24.935
26.039
27.141
28.241
29.339
29.615
30.813
32.007
33.196
34.382
32.671
33.924
35.172
36.415
37.652
35.479
36.781
38.076
39.364
40.646
38.932
40.289
41.638
42.980
44.314
41.401
42.796
44.181
45.558
46.928
46.796
48.268
49.728
51.179
52.619
26
27
28
29
30
11.160
11.808
12.461
13.121
13.787
12.198
12.878
13.565
14.256
14.953
13.844
14.573
15.308
16.047
16.791
15.379
16.151
16.928
17.708
18.493
17.292
18.114
18.939
19.768
20.599
20.843
21.749
22.657
23.567
24.478
25.336
26.336
27.336
28.336
29.336
30.435
31.528
32.620
33.711
34.800
35.563
36.741
37.916
39.087
40.256
38.885
40.113
41.337
42.557
43.773
41.923
43.195
44.461
45.722
46.979
45.642
46.963
48.278
49.588
50.892
48.290
49.645
50.994
52.335
53.672
54.051
55.475
56.892
58.301
59.702
40
50
60
70
80
20.707
27.991
35.534
43.275
51.172
22.164
29.707
37.485
45.442
53.540
24.433
32.357
40.482
48.758
57.153
26.509
34.764
43.188
51.739
60.391
29.051
37.689
46.459
55.329
64.278
33.660
42.942
52.294
61.698
71.145
39.335
49.335
59.335
69.334
79.334
45.616
56.334
66.981
77.577
88.130
51.805 55.758 59.342 63.691 66.766 73.403
63.167 67.505 71.420 76.154 79.490 86.660
74.397 79.082 83.298 88.379 91.952 99.608
85.527 90.531 95.023 100.425 104.215 112.317
96.578 101.879 106.629 112.329 116.321 124.839
90
100
59.196
67.328
61.754
70.065
65.647
74.222
69.126
77.929
73.291
82.358
80.625
90.133
89.334 98.650 107.565 113.145 118.136 124.116 128.299 137.208
99.334 109.141 118.498 124.342 129.561 135.807 140.170 149.449
TABELA 7 – DISTRIBUIÇÃO t-“Student”
tn ,ε : P ( X > t n ,ε ) = ε
ε
.400
.250
.100
.050
.025
.010
.005
.001
n
5
1
2
3
4
5
.325
.289
.277
.271
.267
1,000
.816
.765
.741
.727
3.078
1.886
1.638
1.533
1.476
6.314
2.920
2.353
2.132
2.015
12.706
4.303
3.182
2.776
2.571
31.821
6.965
4.541
3.747
3.365
63.656
9.925
5.841
4.604
4.032
318.289
22.328
10.214
7.173
5.894
6
7
8
9
10
.265
.263
.262
.261
.260
.718
.711
.706
.703
.700
1.440
1.415
1.397
1.383
1.372
1.943
1.895
1.860
1.833
1.812
2.447
2.365
2.306
2.262
2.228
3.143
2.998
2.896
2.821
2.764
3.707
3.499
3.355
3.250
3.169
5.208
4.785
4.501
4.297
4.144
11
12
13
14
15
.260
.259
.259
.258
.258
.697
.695
.694
.692
.691
1.363
1.356
1.350
1.345
1.341
1.796
1.782
1.771
1.761
1.753
2.201
2.179
2.160
2.145
2.131
2.718
2.681
2.650
2.624
2.602
3.106
3.055
3.012
2.977
2.947
4.025
3.930
3.852
3.787
3.733
16
17
18
19
20
.258
.257
.257
.257
.257
.690
.689
.688
.688
.687
1.337
1.333
1.330
1.328
1.325
1.746
1.740
1.734
1.729
1.725
2.120
2.110
2.101
2.093
2.086
2.583
2.567
2.552
2.539
2.528
2.921
2.898
2.878
2.861
2.845
3.686
3.646
3.610
3.579
3.552
21
22
23
24
25
.257
.256
.256
.256
.256
.686
.686
.685
.685
.684
1.323
1.321
1.319
1.318
1.316
1.721
1.717
1.714
1.711
1.708
2.080
2.074
2.069
2.064
2.060
2.518
2.508
2.500
2.492
2.485
2.831
2.819
2.807
2.797
2.787
3.527
3.505
3.485
3.467
3.450
26
27
28
29
30
.256
.256
.256
.256
.256
.684
.684
.683
.683
.683
1.315
1.314
1.313
1.311
1.310
1.706
1.703
1.701
1.699
1.697
2.056
2.052
2.048
2.045
2.042
2.479
2.473
2.467
2.462
2.457
2.779
2.771
2.763
2.756
2.750
3.435
3.421
3.408
3.396
3.385
40
50
60
70
80
.255
.255
.254
.254
.254
.681
.679
.679
.678
.678
1.303
1.299
1.296
1.294
1.292
1.684
1.676
1.671
1.667
1.664
2.021
2.009
2.000
1.994
1.990
2.423
2.403
2.390
2.381
2.374
2.704
2.678
2.660
2.648
2.639
3.307
3.261
3.232
3.211
3.195
90
100
120
∞
.254
.254
.254
.253
.677
.677
.677
.674
1.291
1.290
1.289
1.282
1.662
1.660
1.658
1.645
1.987
1.984
1.980
1.960
2.368
2.364
2.358
2.326
2.632
2.626
2.617
2.576
3.183
3.174
3.160
3.090
TABELA 8 – DISTRIBUIÇÃO F-SNEDCOR
Fm ,n ,ε : P( X > Fm ,n ,ε ) = ε
m - graus de liberdade do numerador
ε
.100
.050
.025
.010
1
39.86
161.45
647.79
4052.18
2
49.50
199.50
799.48
4999.34
3
53.59
215.71
864.15
5403.53
2
.100
.050
.025
.010
8.53
18.51
38.51
98.50
9.00
19.00
39.00
99.00
9.16
19.16
39.17
99.16
9.24
19.25
39.25
99.25
3
.100
.050
.025
.010
5.54
10.13
17.44
34.12
5.46
9.55
16.04
30.82
5.39
9.28
15.44
29.46
4
.100
.050
.025
.010
4.54
7.71
12.22
21.20
4.32
6.94
10.65
18.00
5
.100
.050
.025
.010
4.06
6.61
10.01
16.26
6
.100
.050
.025
.010
7
n – graus de liberdade do denominador
6
120
63.06
253.25
1014.04
6339.51
∞
63.33
254.32
1018.26
6365.59
9.47
19.48
39.48
99.48
9.48
19.49
39.49
99.49
9.49
19.50
39.50
99.50
5.16
8.59
14.04
26.41
5.15
8.57
13.99
26.32
5.14
8.55
13.95
26.22
5.13
8.53
13.90
26.13
3.82
5.75
8.46
13.84
3.80
5.72
8.41
13.75
3.79
5.69
8.36
13.65
3.78
5.66
8.31
13.56
3.76
5.63
8.26
13.46
3.19
4.53
6.28
9.47
3.17
4.50
6.23
9.38
3.16
4.46
6.18
9.29
3.14
4.43
6.12
9.20
3.12
4.40
6.07
9.11
3.11
4.37
6.02
9.02
2.84
3.87
5.17
7.40
2.82
3.84
5.12
7.31
2.80
3.81
5.07
7.23
2.78
3.77
5.01
7.14
2.76
3.74
4.96
7.06
2.74
3.70
4.90
6.97
2.72
3.67
4.85
6.88
2.63
3.51
4.57
6.31
2.59
3.44
4.47
6.16
2.58
3.41
4.41
6.07
2.56
3.38
4.36
5.99
2.54
3.34
4.31
5.91
2.51
3.30
4.25
5.82
2.49
3.27
4.20
5.74
2.47
3.23
4.14
5.65
2.50
3.28
4.20
5.67
2.46
3.22
4.10
5.52
2.42
3.15
4.00
5.36
2.40
3.12
3.95
5.28
2.38
3.08
3.89
5.20
2.36
3.04
3.84
5.12
2.34
3.01
3.78
5.03
2.32
2.97
3.73
4.95
2.29
2.93
3.67
4.86
2.38
3.07
3.87
5.11
2.34
3.01
3.77
4.96
2.30
2.94
3.67
4.81
2.28
2.90
3.61
4.73
2.25
2.86
3.56
4.65
2.23
2.83
3.51
4.57
2.21
2.79
3.45
4.48
2.18
2.75
3.39
4.40
2.16
2.71
3.33
4.31
6
58.20
233.99
937.11
5858.95
7
58.91
236.77
948.20
5928.33
8
59.44
238.88
956.64
5980.95
9
59.86
240.54
963.28
6022.40
9.29
19.30
39.30
99.30
9.33
19.33
39.33
99.33
9.35
19.35
39.36
99.36
9.37
19.37
39.37
99.38
9.38
19.38
39.39
99.39
9.39
19.40
39.40
99.40
9.41
19.41
39.41
99.42
9.42
19.43
39.43
99.43
9.44
19.45
39.45
99.45
9.45
19.45
39.46
99.46
9.46
19.46
39.46
99.47
9.47
19.47
39.47
99.48
5.34
9.12
15.10
28.71
5.31
9.01
14.88
28.24
5.28
8.94
14.73
27.91
5.27
8.89
14.62
27.67
5.25
8.85
14.54
27.49
5.24
8.81
14.47
27.34
5.23
8.79
14.42
27.23
5.22
8.74
14.34
27.05
5.20
8.70
14.25
26.87
5.18
8.66
14.17
26.69
5.18
8.64
14.12
26.60
5.17
8.62
14.08
26.50
4.19
6.59
9.98
16.69
4.11
6.39
9.60
15.98
4.05
6.26
9.36
15.52
4.01
6.16
9.20
15.21
3.98
6.09
9.07
14.98
3.95
6.04
8.98
14.80
3.94
6.00
8.90
14.66
3.92
5.96
8.84
14.55
3.90
5.91
8.75
14.37
3.87
5.86
8.66
14.20
3.84
5.80
8.56
14.02
3.83
5.77
8.51
13.93
3.78
5.79
8.43
13.27
3.62
5.41
7.76
12.06
3.52
5.19
7.39
11.39
3.45
5.05
7.15
10.97
3.40
4.95
6.98
10.67
3.37
4.88
6.85
10.46
3.34
4.82
6.76
10.29
3.32
4.77
6.68
10.16
3.30
4.74
6.62
10.05
3.27
4.68
6.52
9.89
3.24
4.62
6.43
9.72
3.21
4.56
6.33
9.55
3.78
5.99
8.81
13.75
3.46
5.14
7.26
10.92
3.29
4.76
6.60
9.78
3.18
4.53
6.23
9.15
3.11
4.39
5.99
8.75
3.05
4.28
5.82
8.47
3.01
4.21
5.70
8.26
2.98
4.15
5.60
8.10
2.96
4.10
5.52
7.98
2.94
4.06
5.46
7.87
2.90
4.00
5.37
7.72
2.87
3.94
5.27
7.56
.100
.050
.025
.010
3.59
5.59
8.07
12.25
3.26
4.74
6.54
9.55
3.07
4.35
5.89
8.45
2.96
4.12
5.52
7.85
2.88
3.97
5.29
7.46
2.83
3.87
5.12
7.19
2.78
3.79
4.99
6.99
2.75
3.73
4.90
6.84
2.72
3.68
4.82
6.72
2.70
3.64
4.76
6.62
2.67
3.57
4.67
6.47
8
.100
.050
.025
.010
3.46
5.32
7.57
11.26
3.11
4.46
6.06
8.65
2.92
4.07
5.42
7.59
2.81
3.84
5.05
7.01
2.73
3.69
4.82
6.63
2.67
3.58
4.65
6.37
2.62
3.50
4.53
6.18
2.59
3.44
4.43
6.03
2.56
3.39
4.36
5.91
2.54
3.35
4.30
5.81
9
.100
.050
.025
.010
3.36
5.12
7.21
10.56
3.01
4.26
5.71
8.02
2.81
3.86
5.08
6.99
2.69
3.63
4.72
6.42
2.61
3.48
4.48
6.06
2.55
3.37
4.32
5.80
2.51
3.29
4.20
5.61
2.47
3.23
4.10
5.47
2.44
3.18
4.03
5.35
2.42
3.14
3.96
5.26
1
4
5
55.83
57.24
224.58 230.16
899.60 921.83
5624.26 5763.96
10
12
60.19
60.71
241.88 243.90
968.63 976.72
6055.93 6106.68
15
61.22
245.95
984.87
6156.97
20
24
61.74
62.00
248.02 249.05
993.08 997.27
6208.66 6234.27
30
62.26
250.10
1001.40
6260.35
40
60
62.53
62.79
251.14 252.20
1005.60 1009.79
6286.43 6312.97
TABELA 8 – DISTRIBUIÇÃO F-SNEDCOR (Continuação)
m – graus de liberdade do numerador
ε
.100
.050
.025
.010
1
3.29
4.96
6.94
10.04
2
2.92
4.10
5.46
7.56
3
2.73
3.71
4.83
6.55
4
2.61
3.48
4.47
5.99
5
2.52
3.33
4.24
5.64
6
2.46
3.22
4.07
5.39
7
2.41
3.14
3.95
5.20
8
2.38
3.07
3.85
5.06
9
2.35
3.02
3.78
4.94
10
2.32
2.98
3.72
4.85
12
2.28
2.91
3.62
4.71
15
2.24
2.85
3.52
4.56
20
2.20
2.77
3.42
4.41
24
2.18
2.74
3.37
4.33
30
2.16
2.70
3.31
4.25
40
2.13
2.66
3.26
4.17
60
2.11
2.62
3.20
4.08
120
2.08
2.58
3.14
4.00
∞
2.06
2.54
3.08
3.91
11
.100
.050
.025
.010
3.23
4.84
6.72
9.65
2.86
3.98
5.26
7.21
2.66
3.59
4.63
6.22
2.54
3.36
4.28
5.67
2.45
3.20
4.04
5.32
2.39
3.09
3.88
5.07
2.34
3.01
3.76
4.89
2.30
2.95
3.66
4.74
2.27
2.90
3.59
4.63
2.25
2.85
3.53
4.54
2.21
2.79
3.43
4.40
2.17
2.72
3.33
4.25
2.12
2.65
3.23
4.10
2.10
2.61
3.17
4.02
2.08
2.57
3.12
3.94
2.05
2.53
3.06
3.86
2.03
2.49
3.00
3.78
2.00
2.45
2.94
3.69
1.97
2.40
2.88
3.60
12
.100
.050
.025
.010
3.18
4.75
6.55
9.33
2.81
3.89
5.10
6.93
2.61
3.49
4.47
5.95
2.48
3.26
4.12
5.41
2.39
3.11
3.89
5.06
2.33
3.00
3.73
4.82
2.28
2.91
3.61
4.64
2.24
2.85
3.51
4.50
2.21
2.80
3.44
4.39
2.19
2.75
3.37
4.30
2.15
2.69
3.28
4.16
2.10
2.62
3.18
4.01
2.06
2.54
3.07
3.86
2.04
2.51
3.02
3.78
2.01
2.47
2.96
3.70
1.99
2.43
2.91
3.62
1.96
2.38
2.85
3.54
1.93
2.34
2.79
3.45
1.90
2.30
2.72
3.36
13
.100
.050
.025
.010
3.14
4.67
6.41
9.07
2.76
3.81
4.97
6.70
2.56
3.41
4.35
5.74
2.43
3.18
4.00
5.21
2.35
3.03
3.77
4.86
2.28
2.92
3.60
4.62
2.23
2.83
3.48
4.44
2.20
2.77
3.39
4.30
2.16
2.71
3.31
4.19
2.14
2.67
3.25
4.10
2.10
2.60
3.15
3.96
2.05
2.53
3.05
3.82
2.01
2.46
2.95
3.66
1.98
2.42
2.89
3.59
1.96
2.38
2.84
3.51
1.93
2.34
2.78
3.43
1.90
2.30
2.72
3.34
1.88
2.25
2.66
3.25
1.85
2.21
2.60
3.17
14
.100
.050
.025
.010
3.10
4.60
6.30
8.86
2.73
3.74
4.86
6.51
2.52
3.34
4.24
5.56
2.39
3.11
3.89
5.04
2.31
2.96
3.66
4.69
2.24
2.85
3.50
4.46
2.19
2.76
3.38
4.28
2.15
2.70
3.29
4.14
2.12
2.65
3.21
4.03
2.10
2.60
3.15
3.94
2.05
2.53
3.05
3.80
2.01
2.46
2.95
3.66
1.96
2.39
2.84
3.51
1.94
2.35
2.79
3.43
1.91
2.31
2.73
3.35
1.89
2.27
2.67
3.27
1.86
2.22
2.61
3.18
1.83
2.18
2.55
3.09
1.80
2.13
2.49
3.00
15
.100
.050
.025
.010
3.07
4.54
6.20
8.68
2.70
3.68
4.77
6.36
2.49
3.29
4.15
5.42
2.36
3.06
3.80
4.89
2.27
2.90
3.58
4.56
2.21
2.79
3.41
4.32
2.16
2.71
3.29
4.14
2.12
2.64
3.20
4.00
2.09
2.59
3.12
3.89
2.06
2.54
3.06
3.80
2.02
2.48
2.96
3.67
1.97
2.40
2.86
3.52
1.92
2.33
2.76
3.37
1.90
2.29
2.70
3.29
1.87
2.25
2.64
3.21
1.85
2.20
2.59
3.13
1.82
2.16
2.52
3.05
1.79
2.11
2.46
2.96
1.76
2.07
2.40
2.87
16
.100
.050
.025
.010
3.05
4.49
6.12
8.53
2.67
3.63
4.69
6.23
2.46
3.24
4.08
5.29
2.33
3.01
3.73
4.77
2.24
2.85
3.50
4.44
2.18
2.74
3.34
4.20
2.13
2.66
3.22
4.03
2.09
2.59
3.12
3.89
2.06
2.54
3.05
3.78
2.03
2.49
2.99
3.69
1.99
2.42
2.89
3.55
1.94
2.35
2.79
3.41
1.89
2.28
2.68
3.26
1.87
2.24
2.63
3.18
1.84
2.19
2.57
3.10
1.81
2.15
2.51
3.02
1.78
2.11
2.45
2.93
1.75
2.06
2.38
2.84
1.72
2.01
2.32
2.75
17
.100
.050
.025
.010
3.03
4.45
6.04
8.40
2.64
3.59
4.62
6.11
2.44
3.20
4.01
5.19
2.31
2.96
3.66
4.67
2.22
2.81
3.44
4.34
2.15
2.70
3.28
4.10
2.10
2.61
3.16
3.93
2.06
2.55
3.06
3.79
2.03
2.49
2.98
3.68
2.00
2.45
2.92
3.59
1.96
2.38
2.82
3.46
1.91
2.31
2.72
3.31
1.86
2.23
2.62
3.16
1.84
2.19
2.56
3.08
1.81
2.15
2.50
3.00
1.78
2.10
2.44
2.92
1.75
2.06
2.38
2.83
1.72
2.01
2.32
2.75
1.69
1.96
2.25
2.65
18
.100
.050
.025
.010
3.01
4.41
5.98
8.29
2.62
3.55
4.56
6.01
2.42
3.16
3.95
5.09
2.29
2.93
3.61
4.58
2.20
2.77
3.38
4.25
2.13
2.66
3.22
4.01
2.08
2.58
3.10
3.84
2.04
2.51
3.01
3.71
2.00
2.46
2.93
3.60
1.98
2.41
2.87
3.51
1.93
2.34
2.77
3.37
1.89
2.27
2.67
3.23
1.84
2.19
2.56
3.08
1.81
2.15
2.50
3.00
1.78
2.11
2.44
2.92
1.75
2.06
2.38
2.84
1.72
2.02
2.32
2.75
1.69
1.97
2.26
2.66
1.66
1.92
2.19
2.57
19
.100
.050
.025
.010
2.99
4.38
5.92
8.18
2.61
3.52
4.51
5.93
2.40
3.13
3.90
5.01
2.27
2.90
3.56
4.50
2.18
2.74
3.33
4.17
2.11
2.63
3.17
3.94
2.06
2.54
3.05
3.77
2.02
2.48
2.96
3.63
1.98
2.42
2.88
3.52
1.96
2.38
2.82
3.43
1.91
2.31
2.72
3.30
1.86
2.23
2.62
3.15
1.81
2.16
2.51
3.00
1.79
2.11
2.45
2.92
1.76
2.07
2.39
2.84
1.73
2.03
2.33
2.76
1.70
1.98
2.27
2.67
1.67
1.93
2.20
2.58
1.63
1.88
2.13
2.49
n – graus de liberdade do denominador
10
7
TABELA 8 – DISTRIBUIÇÃO F-SNEDCOR (Continuação)
m – graus de liberdade do numerador
ε
.100
.050
.025
.010
1
2.97
4.35
5.87
8.10
2
2.59
3.49
4.46
5.85
3
2.38
3.10
3.86
4.94
4
2.25
2.87
3.51
4.43
5
2.16
2.71
3.29
4.10
6
2.09
2.60
3.13
3.87
7
2.04
2.51
3.01
3.70
8
2.00
2.45
2.91
3.56
9
1.96
2.39
2.84
3.46
10
1.94
2.35
2.77
3.37
12
1.89
2.28
2.68
3.23
15
1.84
2.20
2.57
3.09
20
1.79
2.12
2.46
2.94
24
1.77
2.08
2.41
2.86
30
1.74
2.04
2.35
2.78
40
1.71
1.99
2.29
2.69
60
1.68
1.95
2.22
2.61
120
1.64
1.90
2.16
2.52
∞
1.61
1.84
2.09
2.42
22
.100
.050
.025
.010
2.95
4.30
5.79
7.95
2.56
3.44
4.38
5.72
2.35
3.05
3.78
4.82
2.22
2.82
3.44
4.31
2.13
2.66
3.22
3.99
2.06
2.55
3.05
3.76
2.01
2.46
2.93
3.59
1.97
2.40
2.84
3.45
1.93
2.34
2.76
3.35
1.90
2.30
2.70
3.26
1.86
2.23
2.60
3.12
1.81
2.15
2.50
2.98
1.76
2.07
2.39
2.83
1.73
2.03
2.33
2.75
1.70
1.98
2.27
2.67
1.67
1.94
2.21
2.58
1.64
1.89
2.14
2.50
1.60
1.84
2.08
2.40
1.57
1.78
2.00
2.31
24
.100
.050
.025
.010
2.93
4.26
5.72
7.82
2.54
3.40
4.32
5.61
2.33
3.01
3.72
4.72
2.19
2.78
3.38
4.22
2.10
2.62
3.15
3.90
2.04
2.51
2.99
3.67
1.98
2.42
2.87
3.50
1.94
2.36
2.78
3.36
1.91
2.30
2.70
3.26
1.88
2.25
2.64
3.17
1.83
2.18
2.54
3.03
1.78
2.11
2.44
2.89
1.73
2.03
2.33
2.74
1.70
1.98
2.27
2.66
1.67
1.94
2.21
2.58
1.64
1.89
2.15
2.49
1.61
1.84
2.08
2.40
1.57
1.79
2.01
2.31
1.53
1.73
1.94
2.21
26
.100
.050
.025
.010
2.91
4.23
5.66
7.72
2.52
3.37
4.27
5.53
2.31
2.98
3.67
4.64
2.17
2.74
3.33
4.14
2.08
2.59
3.10
3.82
2.01
2.47
2.94
3.59
1.96
2.39
2.82
3.42
1.92
2.32
2.73
3.29
1.88
2.27
2.65
3.18
1.86
2.22
2.59
3.09
1.81
2.15
2.49
2.96
1.76
2.07
2.39
2.81
1.71
1.99
2.28
2.66
1.68
1.95
2.22
2.58
1.65
1.90
2.16
2.50
1.61
1.85
2.09
2.42
1.58
1.80
2.03
2.33
1.54
1.75
1.95
2.23
1.50
1.69
1.88
2.13
28
.100
.050
.025
.010
2.89
4.20
5.61
7.64
2.50
3.34
4.22
5.45
2.29
2.95
3.63
4.57
2.16
2.71
3.29
4.07
2.06
2.56
3.06
3.75
2.00
2.45
2.90
3.53
1.94
2.36
2.78
3.36
1.90
2.29
2.69
3.23
1.87
2.24
2.61
3.12
1.84
2.19
2.55
3.03
1.79
2.12
2.45
2.90
1.74
2.04
2.34
2.75
1.69
1.96
2.23
2.60
1.66
1.91
2.17
2.52
1.63
1.87
2.11
2.44
1.59
1.82
2.05
2.35
1.56
1.77
1.98
2.26
1.52
1.71
1.91
2.17
1.48
1.65
1.83
2.06
30
.100
.050
.025
.010
2.88
4.17
5.57
7.56
2.49
3.32
4.18
5.39
2.28
2.92
3.59
4.51
2.14
2.69
3.25
4.02
2.05
2.53
3.03
3.70
1.98
2.42
2.87
3.47
1.93
2.33
2.75
3.30
1.88
2.27
2.65
3.17
1.85
2.21
2.57
3.07
1.82
2.16
2.51
2.98
1.77
2.09
2.41
2.84
1.72
2.01
2.31
2.70
1.67
1.93
2.20
2.55
1.64
1.89
2.14
2.47
1.61
1.84
2.07
2.39
1.57
1.79
2.01
2.30
1.54
1.74
1.94
2.21
1.50
1.68
1.87
2.11
1.46
1.62
1.79
2.01
40
.100
.050
.025
.010
2.84
4.08
5.42
7.31
2.44
3.23
4.05
5.18
2.23
2.84
3.46
4.31
2.09
2.61
3.13
3.83
2.00
2.45
2.90
3.51
1.93
2.34
2.74
3.29
1.87
2.25
2.62
3.12
1.83
2.18
2.53
2.99
1.79
2.12
2.45
2.89
1.76
2.08
2.39
2.80
1.71
2.00
2.29
2.66
1.66
1.92
2.18
2.52
1.61
1.84
2.07
2.37
1.57
1.79
2.01
2.29
1.54
1.74
1.94
2.20
1.51
1.69
1.88
2.11
1.47
1.64
1.80
2.02
1.42
1.58
1.72
1.92
1.38
1.51
1.64
1.80
60
.100
.050
.025
.010
2.79
4.00
5.29
7.08
2.39
3.15
3.93
4.98
2.18
2.76
3.34
4.13
2.04
2.53
3.01
3.65
1.95
2.37
2.79
3.34
1.87
2.25
2.63
3.12
1.82
2.17
2.51
2.95
1.77
2.10
2.41
2.82
1.74
2.04
2.33
2.72
1.71
1.99
2.27
2.63
1.66
1.92
2.17
2.50
1.60
1.84
2.06
2.35
1.54
1.75
1.94
2.20
1.51
1.70
1.88
2.12
1.48
1.65
1.82
2.03
1.44
1.59
1.74
1.94
1.40
1.53
1.67
1.84
1.35
1.47
1.58
1.73
1.29
1.39
1.48
1.60
120
.100
.050
.025
.010
2.75
3.92
5.15
6.85
2.35
3.07
3.80
4.79
2.13
2.68
3.23
3.95
1.99
2.45
2.89
3.48
1.90
2.29
2.67
3.17
1.82
2.18
2.52
2.96
1.77
2.09
2.39
2.79
1.72
2.02
2.30
2.66
1.68
1.96
2.22
2.56
1.65
1.91
2.16
2.47
1.60
1.83
2.05
2.34
1.55
1.75
1.94
2.19
1.48
1.66
1.82
2.03
1.45
1.61
1.76
1.95
1.41
1.55
1.69
1.86
1.37
1.50
1.61
1.76
1.32
1.43
1.53
1.66
1.26
1.35
1.43
1.53
1.19
1.25
1.31
1.38
∞
.100
.050
.025
.010
2.71
3.84
5.02
6.63
2.30
3.00
3.69
4.61
2.08
2.60
3.12
3.78
1.94
2.37
2.79
3.32
1.85
2.21
2.57
3.02
1.77
2.10
2.41
2.80
1.72
2.01
2.29
2.64
1.67
1.94
2.19
2.51
1.63
1.88
2.11
2.41
1.60
1.83
2.05
2.32
1.55
1.75
1.94
2.18
1.49
1.67
1.83
2.04
1.42
1.57
1.71
1.88
1.38
1.52
1.64
1.79
1.34
1.46
1.57
1.70
1.30
1.39
1.48
1.59
1.24
1.32
1.39
1.47
1.17
1.22
1.27
1.32
1.00
1.00
1.00
1.00
n – graus de liberdade do denominador
20
8