Probabilidad
Probabilidad
El valor de la tabla para z
es el área bajo la curva
de la normal estándar
a la izquierda de z
El valor de la tabla para z
es el área bajo la curva
de la normal estándar
a la izquierda de z
z
z
TABLA A: Probabilidades de la normal estándar (cont. )
TABLA A: Probabilidades de la normal estándar
z
.00
.01
.02
.03
.04
.05
.06
.07
.08
.09
z
.00
.01
.02
.03
.04
.05
.06
.07
.08
.09
⫺3.4
⫺3.3
⫺3.2
⫺3.1
⫺3.0
⫺2.9
⫺2.8
⫺2.7
⫺2.6
⫺2.5
⫺2.4
⫺2.3
⫺2.2
⫺2.1
⫺2.0
⫺1.9
⫺1.8
⫺1.7
⫺1.6
⫺1.5
⫺1.4
⫺1.3
⫺1.2
⫺1.1
⫺1.0
⫺0.9
⫺0.8
⫺0.7
⫺0.6
⫺0.5
⫺0.4
⫺0.3
⫺0.2
⫺0.1
⫺0.0
.0003
.0005
.0007
.0010
.0013
.0019
.0026
.0035
.0047
.0062
.0082
.0107
.0139
.0179
.0228
.0287
.0359
.0446
.0548
.0668
.0808
.0968
.1151
.1357
.1587
.1841
.2119
.2420
.2743
.3085
.3446
.3821
.4207
.4602
.5000
.0003
.0005
.0007
.0009
.0013
.0018
.0025
.0034
.0045
.0060
.0080
.0104
.0136
.0174
.0222
.0281
.0351
.0436
.0537
.0655
.0793
.0951
.1131
.1335
.1562
.1814
.2090
.2389
.2709
.3050
.3409
.3783
.4168
.4562
.4960
.0003
.0005
.0006
.0009
.0013
.0018
.0024
.0033
.0044
.0059
.0078
.0102
.0132
.0170
.0217
.0274
.0344
.0427
.0526
.0643
.0778
.0934
.1112
.1314
.1539
.1788
.2061
.2358
.2676
.3015
.3372
.3745
.4129
.4522
.4920
.0003
.0004
.0006
.0009
.0012
.0017
.0023
.0032
.0043
.0057
.0075
.0099
.0129
.0166
.0212
.0268
.0336
.0418
.0516
.0630
.0764
.0918
.1093
.1292
.1515
.1762
.2033
.2327
.2643
.2981
.3336
.3707
.4090
.4483
.4880
.0003
.0004
.0006
.0008
.0012
.0016
.0023
.0031
.0041
.0055
.0073
.0096
.0125
.0162
.0207
.0262
.0329
.0409
.0505
.0618
.0749
.0901
.1075
.1271
.1492
.1736
.2005
.2296
.2611
.2946
.3300
.3669
.4052
.4443
.4840
.0003
.0004
.0006
.0008
.0011
.0016
.0022
.0030
.0040
.0054
.0071
.0094
.0122
.0158
.0202
.0256
.0322
.0401
.0495
.0606
.0735
.0885
.1056
.1251
.1469
.1711
.1977
.2266
.2578
.2912
.3264
.3632
.4013
.4404
.4801
.0003
.0004
.0006
.0008
.0011
.0015
.0021
.0029
.0039
.0052
.0069
.0091
.0119
.0154
.0197
.0250
.0314
.0392
.0485
.0594
.0721
.0869
.1038
.1230
.1446
.1685
.1949
.2236
.2546
.2877
.3228
.3594
.3974
.4364
.4761
.0003
.0004
.0005
.0008
.0011
.0015
.0021
.0028
.0038
.0051
.0068
.0089
.0116
.0150
.0192
.0244
.0307
.0384
.0475
.0582
.0708
.0853
.1020
.1210
.1423
.1660
.1922
.2206
.2514
.2843
.3192
.3557
.3936
.4325
.4721
.0003
.0004
.0005
.0007
.0010
.0014
.0020
.0027
.0037
.0049
.0066
.0087
.0113
.0146
.0188
.0239
.0301
.0375
.0465
.0571
.0694
.0838
.1003
.1190
.1401
.1635
.1894
.2177
.2483
.2810
.3156
.3520
.3897
.4286
.4681
.0002
.0003
.0005
.0007
.0010
.0014
.0019
.0026
.0036
.0048
.0064
.0084
.0110
.0143
.0183
.0233
.0294
.0367
.0455
.0559
.0681
.0823
.0985
.1170
.1379
.1611
.1867
.2148
.2451
.2776
.3121
.3483
.3859
.4247
.4641
0.0
0.1
0.2
0.3
0.4
0.5
0.6
0.7
0.8
0.9
1.0
1.1
1.2
1.3
1.4
1.5
1.6
1.7
1.8
1.9
2.0
2.1
2.2
2.3
2.4
2.5
2.6
2.7
2.8
2.9
3.0
3.1
3.2
3.3
3.4
.5000
.5398
.5793
.6179
.6554
.6915
.7257
.7580
.7881
.8159
.8413
.8643
.8849
.9032
.9192
.9332
.9452
.9554
.9641
.9713
.9772
.9821
.9861
.9893
.9918
.9938
.9953
.9965
.9974
.9981
.9987
.9990
.9993
.9995
.9997
.5040
.5438
.5832
.6217
.6591
.6950
.7291
.7611
.7910
.8186
.8438
.8665
.8869
.9049
.9207
.9345
.9463
.9564
.9649
.9719
.9778
.9826
.9864
.9896
.9920
.9940
.9955
.9966
.9975
.9982
.9987
.9991
.9993
.9995
.9997
.5080
.5478
.5871
.6255
.6628
.6985
.7324
.7642
.7939
.8212
.8461
.8686
.8888
.9066
.9222
.9357
.9474
.9573
.9656
.9726
.9783
.9830
.9868
.9898
.9922
.9941
.9956
.9967
.9976
.9982
.9987
.9991
.9994
.9995
.9997
.5120
.5517
.5910
.6293
.6664
.7019
.7357
.7673
.7967
.8238
.8485
.8708
.8907
.9082
.9236
.9370
.9484
.9582
.9664
.9732
.9788
.9834
.9871
.9901
.9925
.9943
.9957
.9968
.9977
.9983
.9988
.9991
.9994
.9996
.9997
.5160
.5557
.5948
.6331
.6700
.7054
.7389
.7704
.7995
.8264
.8508
.8729
.8925
.9099
.9251
.9382
.9495
.9591
.9671
.9738
.9793
.9838
.9875
.9904
.9927
.9945
.9959
.9969
.9977
.9984
.9988
.9992
.9994
.9996
.9997
.5199
.5596
.5987
.6368
.6736
.7088
.7422
.7734
.8023
.8289
.8531
.8749
.8944
.9115
.9265
.9394
.9505
.9599
.9678
.9744
.9798
.9842
.9878
.9906
.9929
.9946
.9960
.9970
.9978
.9984
.9989
.9992
.9994
.9996
.9997
.5239
.5636
.6026
.6406
.6772
.7123
.7454
.7764
.8051
.8315
.8554
.8770
.8962
.9131
.9279
.9406
.9515
.9608
.9686
.9750
.9803
.9846
.9881
.9909
.9931
.9948
.9961
.9971
.9979
.9985
.9989
.9992
.9994
.9996
.9997
.5279
.5675
.6064
.6443
.6808
.7157
.7486
.7794
.8078
.8340
.8577
.8790
.8980
.9147
.9292
.9418
.9525
.9616
.9693
.9756
.9808
.9850
.9884
.9911
.9932
.9949
.9962
.9972
.9979
.9985
.9989
.9992
.9995
.9996
.9997
.5319
.5714
.6103
.6480
.6844
.7190
.7517
.7823
.8106
.8365
.8599
.8810
.8997
.9162
.9306
.9429
.9535
.9625
.9699
.9761
.9812
.9854
.9887
.9913
.9934
.9951
.9963
.9973
.9980
.9986
.9990
.9993
.9995
.9996
.9997
.5359
.5753
.6141
.6517
.6879
.7224
.7549
.7852
.8133
.8389
.8621
.8830
.9015
.9177
.9319
.9441
.9545
.9633
.9706
.9767
.9817
.9857
.9890
.9916
.9936
.9952
.9964
.9974
.9981
.9986
.9990
.9993
.9995
.9997
.9998
Probabilidad p
El valor de la tabla para p y C
es el valor crítico t* que deja
una probabilidad p a la derecha
y una probabilidad C
entre -t* y t*
Probabilidad p
t*
X2*
TABLA B Valores críticos de la distribución t de Student
El valor de la tabla para p es el valor crítico X 2ⴱ que deja la probabilidad p a la derecha
Probabilidad de la cola p
gl
1
2
3
4
5
6
7
8
9
10
11
12
13
14
15
16
17
18
19
20
21
22
23
24
25
26
27
28
29
30
40
50
60
80
100
1000
zⴱ
.25
.20
.15
.10
.05
.025
.02
.01
.005
.0025
.001
.0005
1.000
0.816
0.765
0.741
0.727
0.718
0.711
0.706
0.703
0.700
0.697
0.695
0.694
0.692
0.691
0.690
0.689
0.688
0.688
0.687
0.686
0.686
0.685
0.685
0.684
0.684
0.684
0.683
0.683
0.683
0.681
0.679
0.679
0.678
0.677
0.675
0.674
1.376
1.061
0.978
0.941
0.920
0.906
0.896
0.889
0.883
0.879
0.876
0.873
0.870
0.868
0.866
0.865
0.863
0.862
0.861
0.860
0.859
0.858
0.858
0.857
0.856
0.856
0.855
0.855
0.854
0.854
0.851
0.849
0.848
0.846
0.845
0.842
0.841
1.963
1.386
1.250
1.190
1.156
1.134
1.119
1.108
1.100
1.093
1.088
1.083
1.079
1.076
1.074
1.071
1.069
1.067
1.066
1.064
1.063
1.061
1.060
1.059
1.058
1.058
1.057
1.056
1.055
1.055
1.050
1.047
1.045
1.043
1.042
1.037
1.036
3.078
1.886
1.638
1.533
1.476
1.440
1.415
1.397
1.383
1.372
1.363
1.356
1.350
1.345
1.341
1.337
1.333
1.330
1.328
1.325
1.323
1.321
1.319
1.318
1.316
1.315
1.314
1.313
1.311
1.310
1.303
1.299
1.296
1.292
1.290
1.282
1.282
6.314
2.920
2.353
2.132
2.015
1.943
1.895
1.860
1.833
1.812
1.796
1.782
1.771
1.761
1.753
1.746
1.740
1.734
1.729
1.725
1.721
1.717
1.714
1.711
1.708
1.706
1.703
1.701
1.699
1.697
1.684
1.676
1.671
1.664
1.660
1.646
1.645
12.71
4.303
3.182
2.776
2.571
2.447
2.365
2.306
2.262
2.228
2.201
2.179
2.160
2.145
2.131
2.120
2.110
2.101
2.093
2.086
2.080
2.074
2.069
2.064
2.060
2.056
2.052
2.048
2.045
2.042
2.021
2.009
2.000
1.990
1.984
1.962
1.960
15.89
4.849
3.482
2.999
2.757
2.612
2.517
2.449
2.398
2.359
2.328
2.303
2.282
2.264
2.249
2.235
2.224
2.214
2.205
2.197
2.189
2.183
2.177
2.172
2.167
2.162
2.158
2.154
2.150
2.147
2.123
2.109
2.099
2.088
2.081
2.056
2.054
31.82
6.965
4.541
3.747
3.365
3.143
2.998
2.896
2.821
2.764
2.718
2.681
2.650
2.624
2.602
2.583
2.567
2.552
2.539
2.528
2.518
2.508
2.500
2.492
2.485
2.479
2.473
2.467
2.462
2.457
2.423
2.403
2.390
2.374
2.364
2.330
2.326
63.66
9.925
5.841
4.604
4.032
3.707
3.499
3.355
3.250
3.169
3.106
3.055
3.012
2.977
2.947
2.921
2.898
2.878
2.861
2.845
2.831
2.819
2.807
2.797
2.787
2.779
2.771
2.763
2.756
2.750
2.704
2.678
2.660
2.639
2.626
2.581
2.576
127.3
14.09
7.453
5.598
4.773
4.317
4.029
3.833
3.690
3.581
3.497
3.428
3.372
3.326
3.286
3.252
3.222
3.197
3.174
3.153
3.135
3.119
3.104
3.091
3.078
3.067
3.057
3.047
3.038
3.030
2.971
2.937
2.915
2.887
2.871
2.813
2.807
318.3
22.33
10.21
7.173
5.893
5.208
4.785
4.501
4.297
4.144
4.025
3.930
3.852
3.787
3.733
3.686
3.646
3.611
3.579
3.552
3.527
3.505
3.485
3.467
3.450
3.435
3.421
3.408
3.396
3.385
3.307
3.261
3.232
3.195
3.174
3.098
3.091
636.6
31.60
12.92
8.610
6.869
5.959
5.408
5.041
4.781
4.587
4.437
4.318
4.221
4.140
4.073
4.015
3.965
3.922
3.883
3.850
3.819
3.792
3.768
3.745
3.725
3.707
3.690
3.674
3.659
3.646
3.551
3.496
3.460
3.416
3.390
3.300
3.291
50%
60%
70%
80%
90%
95%
96%
98%
99%
99.5% 99.8% 99.9%
Nivel de confianza C
TABLA C: Valores críticos de la distribución ␹ 2 de Pearson
Probabilidad de la cola p
gl
1
2
3
4
5
6
7
8
9
10
11
12
13
14
15
16
17
18
19
20
21
22
23
24
25
26
27
28
29
30
40
50
60
80
100
.25
.20
.15
.10
.05
.025
.02
.01
.005
.0025
.001
.0005
1.32
2.77
4.11
5.39
6.63
7.84
9.04
10.22
11.39
12.55
13.70
14.85
15.98
17.12
18.25
19.37
20.49
21.60
22.72
23.83
24.93
26.04
27.14
28.24
29.34
30.43
31.53
32.62
33.71
34.80
45.62
56.33
66.98
88.13
109.1
1.64
3.22
4.64
5.99
7.29
8.56
9.80
11.03
12.24
13.44
14.63
15.81
16.98
18.15
19.31
20.47
21.61
22.76
23.90
25.04
26.17
27.30
28.43
29.55
30.68
31.79
32.91
34.03
35.14
36.25
47.27
58.16
68.97
90.41
111.7
2.07
3.79
5.32
6.74
8.12
9.45
10.75
12.03
13.29
14.53
15.77
16.99
18.20
19.41
20.60
21.79
22.98
24.16
25.33
26.50
27.66
28.82
29.98
31.13
32.28
33.43
34.57
35.71
36.85
37.99
49.24
60.35
71.34
93.11
114.7
2.71
4.61
6.25
7.78
9.24
10.64
12.02
13.36
14.68
15.99
17.28
18.55
19.81
21.06
22.31
23.54
24.77
25.99
27.20
28.41
29.62
30.81
32.01
33.20
34.38
35.56
36.74
37.92
39.09
40.26
51.81
63.17
74.40
96.58
118.5
3.84
5.99
7.81
9.49
11.07
12.59
14.07
15.51
16.92
18.31
19.68
21.03
22.36
23.68
25.00
26.30
27.59
28.87
30.14
31.41
32.67
33.92
35.17
36.42
37.65
38.89
40.11
41.34
42.56
43.77
55.76
67.50
79.08
101.9
124.3
5.02
7.38
9.35
11.14
12.83
14.45
16.01
17.53
19.02
20.48
21.92
23.34
24.74
26.12
27.49
28.85
30.19
31.53
32.85
34.17
35.48
36.78
38.08
39.36
40.65
41.92
43.19
44.46
45.72
46.98
59.34
71.42
83.30
106.6
129.6
5.41
7.82
9.84
11.67
13.39
15.03
16.62
18.17
19.68
21.16
22.62
24.05
25.47
26.87
28.26
29.63
31.00
32.35
33.69
35.02
36.34
37.66
38.97
40.27
41.57
42.86
44.14
45.42
46.69
47.96
60.44
72.61
84.58
108.1
131.1
6.63
9.21
11.34
13.28
15.09
16.81
18.48
20.09
21.67
23.21
24.72
26.22
27.69
29.14
30.58
32.00
33.41
34.81
36.19
37.57
38.93
40.29
41.64
42.98
44.31
45.64
46.96
48.28
49.59
50.89
63.69
76.15
88.38
112.3
135.8
7.88
10.60
12.84
14.86
16.75
18.55
20.28
21.95
23.59
25.19
26.76
28.30
29.82
31.32
32.80
34.27
35.72
37.16
38.58
40.00
41.40
42.80
44.18
45.56
46.93
48.29
49.64
50.99
52.34
53.67
66.77
79.49
91.95
116.3
140.2
9.14
11.98
14.32
16.42
18.39
20.25
22.04
23.77
25.46
27.11
28.73
30.32
31.88
33.43
34.95
36.46
37.95
39.42
40.88
42.34
43.78
45.20
46.62
48.03
49.44
50.83
52.22
53.59
54.97
56.33
69.70
82.66
95.34
120.1
144.3
10.83
13.82
16.27
18.47
20.51
22.46
24.32
26.12
27.88
29.59
31.26
32.91
34.53
36.12
37.70
39.25
40.79
42.31
43.82
45.31
46.80
48.27
49.73
51.18
52.62
54.05
55.48
56.89
58.30
59.70
73.40
86.66
99.61
124.8
149.4
12.12
15.20
17.73
20.00
22.11
24.10
26.02
27.87
29.67
31.42
33.14
34.82
36.48
38.11
39.72
41.31
42.88
44.43
45.97
47.50
49.01
50.51
52.00
53.48
54.95
56.41
57.86
59.30
60.73
62.16
76.09
89.56
102.7
128.3
153.2
Probabilidad p
Probabilidad p
F*
F*
El valor de la tabla para p es el valor crítico F* que deja la probabilidad p a la derecha
El valor de la tabla para p es el valor crítico F* que deja la probabilidad p a la derecha
TABLA D Valores críticos de la distribución F de Fisher
TABLA D
Valores críticos de la distribución F de Fisher (cont.)
Grados de libertad en el denominador
Grados de libertad en el numerador
Grados de libertad del numerador
p
1
2
3
4
5
6
7
8
9
10
12
15
20
25
30
40
50
60
120
1000
1
.100
.050
.025
.010
.001
39.86
161.45
647.79
4052.2
405284
49.50
199.50
799.50
4999.5
500000
53.59
215.71
864.16
5403.4
540379
55.83
224.58
899.58
5624.6
562500
57.24
230.16
921.85
5763.6
576405
58.20
233.99
937.11
5859.0
585937
58.91
236.77
948.22
5928.4
592873
59.44
238.88
956.66
5981.1
598144
59.86
240.54
963.28
6022.5
602284
60.19
241.88
968.63
6055.8
605621
60.71
243.91
976.71
6106.3
610668
61.22
245.95
984.87
6157.3
615764
61.74
248.01
993.10
6208.7
620908
62.05
249.26
998.08
6239.8
624017
62.26
250.10
1001.4
6260.6
626099
62.53
251.14
1005.6
6286.8
628712
62.69
251.77
1008.1
6302.5
630285
62.79
252.20
1009.8
6313.0
631337
63.06
253.25
1014.0
6339.4
633972
63.30
254.19
1017.7
6362.7
636301
2
.100
.050
.025
.010
.001
8.53
18.51
38.51
98.50
998.50
9.00
19.00
39.00
99.00
999.00
9.16
19.16
39.17
99.17
999.17
9.24
19.25
39.25
99.25
999.25
9.29
19.30
39.30
99.30
999.30
9.33
19.33
39.33
99.33
999.33
9.35
19.35
39.36
99.36
999.36
9.37
19.37
39.37
99.37
999.37
9.38
19.38
39.39
99.39
999.39
9.39
19.40
39.40
99.40
999.40
9.41
19.41
39.41
99.42
999.42
9.42
19.43
39.43
99.43
999.43
9.44
19.45
39.45
99.45
999.45
9.45
19.46
39.46
99.46
999.46
9.46
19.46
39.46
99.47
999.47
9.47
19.47
39.47
99.47
999.47
9.47
19.48
39.48
99.48
999.48
9.47
19.48
39.48
99.48
999.48
9.48
19.49
39.49
99.49
999.49
9.49
19.49
39.50
99.50
999.50
3
.100
.050
.025
.010
.001
5.54
10.13
17.44
34.12
167.03
5.46
9.55
16.04
30.82
148.50
5.39
9.28
15.44
29.46
141.11
5.34
9.12
15.10
28.71
137.10
5.31
9.01
14.88
28.24
134.58
5.28
8.94
14.73
27.91
132.85
5.27
8.89
14.62
27.67
131.58
5.25
8.85
14.54
27.49
130.62
5.24
8.81
14.47
27.35
129.86
5.23
8.79
14.42
27.23
129.25
5.22
8.74
14.34
27.05
128.32
5.20
8.70
14.25
26.87
127.37
5.18
8.66
14.17
26.69
126.42
5.17
8.63
14.12
26.58
125.84
5.17
8.62
14.08
26.50
125.45
5.16
8.59
14.04
26.41
124.96
5.15
8.58
14.01
26.35
124.66
5.15
8.57
13.99
26.32
124.47
5.14
8.55
13.95
26.22
123.97
5.13
8.53
13.91
26.14
123.53
4
.100
.050
.025
.010
.001
4.54
7.71
12.22
21.20
74.14
4.32
6.94
10.65
18.00
61.25
4.19
6.59
9.98
16.69
56.18
4.11
6.39
9.60
15.98
53.44
4.05
6.26
9.36
15.52
51.71
4.01
6.16
9.20
15.21
50.53
3.98
6.09
9.07
14.98
49.66
3.95
6.04
8.98
14.80
49.00
3.94
6.00
8.90
14.66
48.47
3.92
5.96
8.84
14.55
48.05
3.90
5.91
8.75
14.37
47.41
3.87
5.86
8.66
14.20
46.76
3.84
5.80
8.56
14.02
46.10
3.83
5.77
8.50
13.91
45.70
3.82
5.75
8.46
13.84
45.43
3.80
5.72
8.41
13.75
45.09
3.80
5.70
8.38
13.69
44.88
3.79
5.69
8.36
13.65
44.75
3.78
5.66
8.31
13.56
44.40
3.76
5.63
8.26
13.47
44.09
5
.100
.050
.025
.010
.001
4.06
6.61
10.01
16.26
47.18
3.78
5.79
8.43
13.27
37.12
3.62
5.41
7.76
12.06
33.20
3.52
5.19
7.39
11.39
31.09
3.45
5.05
7.15
10.97
29.75
3.40
4.95
6.98
10.67
28.83
3.37
4.88
6.85
10.46
28.16
3.34
4.82
6.76
10.29
27.65
3.32
4.77
6.68
10.16
27.24
3.30
4.74
6.62
10.05
26.92
3.27
4.68
6.52
9.89
26.42
3.24
4.62
6.43
9.72
25.91
3.21
4.56
6.33
9.55
25.39
3.19
4.52
6.27
9.45
25.08
3.17
4.50
6.23
9.38
24.87
3.16
4.46
6.18
9.29
24.60
3.15
4.44
6.14
9.24
24.44
3.14
4.43
6.12
9.20
24.33
3.12
4.40
6.07
9.11
24.06
3.11
4.37
6.02
9.03
23.82
6
.100
.050
.025
.010
.001
3.78
5.99
8.81
13.75
35.51
3.46
5.14
7.26
10.92
27.00
3.29
4.76
6.60
9.78
23.70
3.18
4.53
6.23
9.15
21.92
3.11
4.39
5.99
8.75
20.80
3.05
4.28
5.82
8.47
20.03
3.01
4.21
5.70
8.26
19.46
2.98
4.15
5.60
8.10
19.03
2.96
4.10
5.52
7.98
18.69
2.94
4.06
5.46
7.87
18.41
2.90
4.00
5.37
7.72
17.99
2.87
3.94
5.27
7.56
17.56
2.84
3.87
5.17
7.40
17.12
2.81
3.83
5.11
7.30
16.85
2.80
3.81
5.07
7.23
16.67
2.78
3.77
5.01
7.14
16.44
2.77
3.75
4.98
7.09
16.31
2.76
3.74
4.96
7.06
16.21
2.74
3.70
4.90
6.97
15.98
2.72
3.67
4.86
6.89
15.77
7
.100
.050
.025
.010
.001
3.59
5.59
8.07
12.25
29.25
3.26
4.74
6.54
9.55
21.69
3.07
4.35
5.89
8.45
18.77
2.96
4.12
5.52
7.85
17.20
2.88
3.97
5.29
7.46
16.21
2.83
3.87
5.12
7.19
15.52
2.78
3.79
4.99
6.99
15.02
2.75
3.73
4.90
6.84
14.63
2.72
3.68
4.82
6.72
14.33
2.70
3.64
4.76
6.62
14.08
2.67
3.57
4.67
6.47
13.71
2.63
3.51
4.57
6.31
13.32
2.59
3.44
4.47
6.16
12.93
2.57
3.40
4.40
6.06
12.69
2.56
3.38
4.36
5.99
12.53
2.54
3.34
4.31
5.91
12.33
2.52
3.32
4.28
5.86
12.20
2.51
3.30
4.25
5.82
12.12
2.49
3.27
4.20
5.74
11.91
2.47
3.23
4.15
5.66
11.72
TABLA D
TABLA D Valores críticos de la distribución F de Fisher (cont.)
Valores críticos de la distribución F de Fisher (cont.)
Grados de libertad en el numerador
Grados de libertad en el denominador
Grados de libertad en el numerador
p
1
2
3
4
5
6
7
8
9
10
12
15
20
25
30
40
50
60
120
1000
8
.100
.050
.025
.010
.001
3.46
5.32
7.57
11.26
25.41
3.11
4.46
6.06
8.65
18.49
2.92
4.07
5.42
7.59
15.83
2.81
3.84
5.05
7.01
14.39
2.73
3.69
4.82
6.63
13.48
2.67
3.58
4.65
6.37
12.86
2.62
3.50
4.53
6.18
12.40
2.59
3.44
4.43
6.03
12.05
2.56
3.39
4.36
5.91
11.77
2.54
3.35
4.30
5.81
11.54
2.50
3.28
4.20
5.67
11.19
2.46
3.22
4.10
5.52
10.84
2.42
3.15
4.00
5.36
10.48
2.40
3.11
3.94
5.26
10.26
2.38
3.08
3.89
5.20
10.11
2.36
3.04
3.84
5.12
9.92
2.35
3.02
3.81
5.07
9.80
2.34
3.01
3.78
5.03
9.73
2.32
2.97
3.73
4.95
9.53
2.30
2.93
3.68
4.87
9.36
9
.100
.050
.025
.010
.001
3.36
5.12
7.21
10.56
22.86
3.01
4.26
5.71
8.02
16.39
2.81
3.86
5.08
6.99
13.90
2.69
3.63
4.72
6.42
12.56
2.61
3.48
4.48
6.06
11.71
2.55
3.37
4.32
5.80
11.13
2.51
3.29
4.20
5.61
10.70
2.47
3.23
4.10
5.47
10.37
2.44
3.18
4.03
5.35
10.11
2.42
3.14
3.96
5.26
9.89
2.38
3.07
3.87
5.11
9.57
2.34
3.01
3.77
4.96
9.24
2.30
2.94
3.67
4.81
8.90
2.27
2.89
3.60
4.71
8.69
2.25
2.86
3.56
4.65
8.55
2.23
2.83
3.51
4.57
8.37
2.22
2.80
3.47
4.52
8.26
2.21
2.79
3.45
4.48
8.19
2.18
2.75
3.39
4.40
8.00
2.16
2.71
3.34
4.32
7.84
10
.100
.050
.025
.010
.001
3.29
4.96
6.94
10.04
21.04
2.92
4.10
5.46
7.56
14.91
2.73
3.71
4.83
6.55
12.55
2.61
3.48
4.47
5.99
11.28
2.52
3.33
4.24
5.64
10.48
2.46
3.22
4.07
5.39
9.93
2.41
3.14
3.95
5.20
9.52
2.38
3.07
3.85
5.06
9.20
2.35
3.02
3.78
4.94
8.96
2.32
2.98
3.72
4.85
8.75
2.28
2.91
3.62
4.71
8.45
2.24
2.85
3.52
4.56
8.13
2.20
2.77
3.42
4.41
7.80
2.17
2.73
3.35
4.31
7.60
2.16
2.70
3.31
4.25
7.47
2.13
2.66
3.26
4.17
7.30
2.12
2.64
3.22
4.12
7.19
2.11
2.62
3.20
4.08
7.12
2.08
2.58
3.14
4.00
6.94
2.06
2.54
3.09
3.92
6.78
11
.100
.050
.025
.010
.001
3.23
4.84
6.72
9.65
19.69
2.86
3.98
5.26
7.21
13.81
2.66
3.59
4.63
6.22
11.56
2.54
3.36
4.28
5.67
10.35
2.45
3.20
4.04
5.32
9.58
2.39
3.09
3.88
5.07
9.05
2.34
3.01
3.76
4.89
8.66
2.30
2.95
3.66
4.74
8.35
2.27
2.90
3.59
4.63
8.12
2.25
2.85
3.53
4.54
7.92
2.21
2.79
3.43
4.40
7.63
2.17
2.72
3.33
4.25
7.32
2.12
2.65
3.23
4.10
7.01
2.10
2.60
3.16
4.01
6.81
2.08
2.57
3.12
3.94
6.68
2.05
2.53
3.06
3.86
6.52
2.04
2.51
3.03
3.81
6.42
2.03
2.49
3.00
3.78
6.35
2.00
2.45
2.94
3.69
6.18
1.98
2.41
2.89
3.61
6.02
12
.100
.050
.025
.010
.001
3.18
4.75
6.55
9.33
18.64
2.81
3.89
5.10
6.93
12.97
2.61
3.49
4.47
5.95
10.80
2.48
3.26
4.12
5.41
9.63
2.39
3.11
3.89
5.06
8.89
2.33
3.00
3.73
4.82
8.38
2.28
2.91
3.61
4.64
8.00
2.24
2.85
3.51
4.50
7.71
2.21
2.80
3.44
4.39
7.48
2.19
2.75
3.37
4.30
7.29
2.15
2.69
3.28
4.16
7.00
2.10
2.62
3.18
4.01
6.71
2.06
2.54
3.07
3.86
6.40
2.03
2.50
3.01
3.76
6.22
2.01
2.47
2.96
3.70
6.09
1.99
2.43
2.91
3.62
5.93
1.97
2.40
2.87
3.57
5.83
1.96
2.38
2.85
3.54
5.76
1.93
2.34
2.79
3.45
5.59
1.91
2.30
2.73
3.37
5.44
13
.100
.050
.025
.010
.001
3.14
4.67
6.41
9.07
17.82
2.76
3.81
4.97
6.70
12.31
2.56
3.41
4.35
5.74
10.21
2.43
3.18
4.00
5.21
9.07
2.35
3.03
3.77
4.86
8.35
2.28
2.92
3.60
4.62
7.86
2.23
2.83
3.48
4.44
7.49
2.20
2.77
3.39
4.30
7.21
2.16
2.71
3.31
4.19
6.98
2.14
2.67
3.25
4.10
6.80
2.10
2.60
3.15
3.96
6.52
2.05
2.53
3.05
3.82
6.23
2.01
2.46
2.95
3.66
5.93
1.98
2.41
2.88
3.57
5.75
1.96
2.38
2.84
3.51
5.63
1.93
2.34
2.78
3.43
5.47
1.92
2.31
2.74
3.38
5.37
1.90
2.30
2.72
3.34
5.30
1.88
2.25
2.66
3.25
5.14
1.85
2.21
2.60
3.18
4.99
14
.100
.050
.025
.010
.001
3.10
4.60
6.30
8.86
17.14
2.73
3.74
4.86
6.51
11.78
2.52
3.34
4.24
5.56
9.73
2.39
3.11
3.89
5.04
8.62
2.31
2.96
3.66
4.69
7.92
2.24
2.85
3.50
4.46
7.44
2.19
2.76
3.38
4.28
7.08
2.15
2.70
3.29
4.14
6.80
2.12
2.65
3.21
4.03
6.58
2.10
2.60
3.15
3.94
6.40
2.05
2.53
3.05
3.80
6.13
2.01
2.46
2.95
3.66
5.85
1.96
2.39
2.84
3.51
5.56
1.93
2.34
2.78
3.41
5.38
1.91
2.31
2.73
3.35
5.25
1.89
2.27
2.67
3.27
5.10
1.87
2.24
2.64
3.22
5.00
1.86
2.22
2.61
3.18
4.94
1.83
2.18
2.55
3.09
4.77
1.80
2.14
2.50
3.02
4.62
15
.100
.050
.025
.010
.001
3.07
4.54
6.20
8.68
16.59
2.70
3.68
4.77
6.36
11.34
2.49
3.29
4.15
5.42
9.34
2.36
3.06
3.80
4.89
8.25
2.27
2.90
3.58
4.56
7.57
2.21
2.79
3.41
4.32
7.09
2.16
2.71
3.29
4.14
6.74
2.12
2.64
3.20
4.00
6.47
2.09
2.59
3.12
3.89
6.26
2.06
2.54
3.06
3.80
6.08
2.02
2.48
2.96
3.67
5.81
1.97
2.40
2.86
3.52
5.54
1.92
2.33
2.76
3.37
5.25
1.89
2.28
2.69
3.28
5.07
1.87
2.25
2.64
3.21
4.95
1.85
2.20
2.59
3.13
4.80
1.83
2.18
2.55
3.08
4.70
1.82
2.16
2.52
3.05
4.64
1.79
2.11
2.46
2.96
4.47
1.76
2.07
2.40
2.88
4.33
16
.100
.050
.025
.010
.001
3.05
4.49
6.12
8.53
16.12
2.67
3.63
4.69
6.23
10.97
2.46
3.24
4.08
5.29
9.01
2.33
3.01
3.73
4.77
7.94
2.24
2.85
3.50
4.44
7.27
2.18
2.74
3.34
4.20
6.80
2.13
2.66
3.22
4.03
6.46
2.09
2.59
3.12
3.89
6.19
2.06
2.54
3.05
3.78
5.98
2.03
2.49
2.99
3.69
5.81
1.99
2.42
2.89
3.55
5.55
1.94
2.35
2.79
3.41
5.27
1.89
2.28
2.68
3.26
4.99
1.86
2.23
2.61
3.16
4.82
1.84
2.19
2.57
3.10
4.70
1.81
2.15
2.51
3.02
4.54
1.79
2.12
2.47
2.97
4.45
1.78
2.11
2.45
2.93
4.39
1.75
2.06
2.38
2.84
4.23
1.72
2.02
2.32
2.76
4.08
17
.100
.050
.025
.010
.001
3.03
4.45
6.04
8.40
15.72
2.64
3.59
4.62
6.11
10.66
2.44
3.20
4.01
5.19
8.73
2.31
2.96
3.66
4.67
7.68
2.22
2.81
3.44
4.34
7.02
2.15
2.70
3.28
4.10
6.56
2.10
2.61
3.16
3.93
6.22
2.06
2.55
3.06
3.79
5.96
2.03
2.49
2.98
3.68
5.75
2.00
2.45
2.92
3.59
5.58
1.96
2.38
2.82
3.46
5.32
1.91
2.31
2.72
3.31
5.05
1.86
2.23
2.62
3.16
4.78
1.83
2.18
2.55
3.07
4.60
1.81
2.15
2.50
3.00
4.48
1.78
2.10
2.44
2.92
4.33
1.76
2.08
2.41
2.87
4.24
1.75
2.06
2.38
2.83
4.18
1.72
2.01
2.32
2.75
4.02
1.69
1.97
2.26
2.66
3.87
TABLA D Valores críticos de la distribución F de Fisher
(cont.)
TABLA D Valores críticos de la distribución F de Fisher (cont.)
Grados de libertad en el denominador
Grados de libertad en el numerador
Grados de libertad en el numerador
p
1
2
3
4
5
6
7
8
9
10
12
15
20
25
30
40
50
60
120
1000
18
.100
.050
.025
.010
.001
3.01
4.41
5.98
8.29
15.38
2.62
3.55
4.56
6.01
10.39
2.42
3.16
3.95
5.09
8.49
2.29
2.93
3.61
4.58
7.46
2.20
2.77
3.38
4.25
6.81
2.13
2.66
3.22
4.01
6.35
2.08
2.58
3.10
3.84
6.02
2.04
2.51
3.01
3.71
5.76
2.00
2.46
2.93
3.60
5.56
1.98
2.41
2.87
3.51
5.39
1.93
2.34
2.77
3.37
5.13
1.89
2.27
2.67
3.23
4.87
1.84
2.19
2.56
3.08
4.59
1.80
2.14
2.49
2.98
4.42
1.78
2.11
2.44
2.92
4.30
1.75
2.06
2.38
2.84
4.15
1.74
2.04
2.35
2.78
4.06
1.72
2.02
2.32
2.75
4.00
1.69
1.97
2.26
2.66
3.84
1.66
1.92
2.20
2.58
3.69
19
.100
.050
.025
.010
.001
2.99
4.38
5.92
8.18
15.08
2.61
3.52
4.51
5.93
10.16
2.40
3.13
3.90
5.01
8.28
2.27
2.90
3.56
4.50
7.27
2.18
2.74
3.33
4.17
6.62
2.11
2.63
3.17
3.94
6.18
2.06
2.54
3.05
3.77
5.85
2.02
2.48
2.96
3.63
5.59
1.98
2.42
2.88
3.52
5.39
1.96
2.38
2.82
3.43
5.22
1.91
2.31
2.72
3.30
4.97
1.86
2.23
2.62
3.15
4.70
1.81
2.16
2.51
3.00
4.43
1.78
2.11
2.44
2.91
4.26
1.76
2.07
2.39
2.84
4.14
1.73
2.03
2.33
2.76
3.99
1.71
2.00
2.30
2.71
3.90
1.70
1.98
2.27
2.67
3.84
1.67
1.93
2.20
2.58
3.68
1.64
1.88
2.14
2.50
3.53
20
.100
.050
.025
.010
.001
2.97
4.35
5.87
8.10
14.82
2.59
3.49
4.46
5.85
9.95
2.38
3.10
3.86
4.94
8.10
2.25
2.87
3.51
4.43
7.10
2.16
2.71
3.29
4.10
6.46
2.09
2.60
3.13
3.87
6.02
2.04
2.51
3.01
3.70
5.69
2.00
2.45
2.91
3.56
5.44
1.96
2.39
2.84
3.46
5.24
1.94
2.35
2.77
3.37
5.08
1.89
2.28
2.68
3.23
4.82
1.84
2.20
2.57
3.09
4.56
1.79
2.12
2.46
2.94
4.29
1.76
2.07
2.40
2.84
4.12
1.74
2.04
2.35
2.78
4.00
1.71
1.99
2.29
2.69
3.86
1.69
1.97
2.25
2.64
3.77
1.68
1.95
2.22
2.61
3.70
1.64
1.90
2.16
2.52
3.54
1.61
1.85
2.09
2.43
3.40
21
.100
.050
.025
.010
.001
2.96
4.32
5.83
8.02
14.59
2.57
3.47
4.42
5.78
9.77
2.36
3.07
3.82
4.87
7.94
2.23
2.84
3.48
4.37
6.95
2.14
2.68
3.25
4.04
6.32
2.08
2.57
3.09
3.81
5.88
2.02
2.49
2.97
3.64
5.56
1.98
2.42
2.87
3.51
5.31
1.95
2.37
2.80
3.40
5.11
1.92
2.32
2.73
3.31
4.95
1.87
2.25
2.64
3.17
4.70
1.83
2.18
2.53
3.03
4.44
1.78
2.10
2.42
2.88
4.17
1.74
2.05
2.36
2.79
4.00
1.72
2.01
2.31
2.72
3.88
1.69
1.96
2.25
2.64
3.74
1.67
1.94
2.21
2.58
3.64
1.66
1.92
2.18
2.55
3.58
1.62
1.87
2.11
2.46
3.42
1.59
1.82
2.05
2.37
3.28
22
.100
.050
.025
.010
.001
2.95
4.30
5.79
7.95
14.38
2.56
3.44
4.38
5.72
9.61
2.35
3.05
3.78
4.82
7.80
2.22
2.82
3.44
4.31
6.81
2.13
2.66
3.22
3.99
6.19
2.06
2.55
3.05
3.76
5.76
2.01
2.46
2.93
3.59
5.44
1.97
2.40
2.84
3.45
5.19
1.93
2.34
2.76
3.35
4.99
1.90
2.30
2.70
3.26
4.83
1.86
2.23
2.60
3.12
4.58
1.81
2.15
2.50
2.98
4.33
1.76
2.07
2.39
2.83
4.06
1.73
2.02
2.32
2.73
3.89
1.70
1.98
2.27
2.67
3.78
1.67
1.94
2.21
2.58
3.63
1.65
1.91
2.17
2.53
3.54
1.64
1.89
2.14
2.50
3.48
1.60
1.84
2.08
2.40
3.32
1.57
1.79
2.01
2.32
3.17
23
.100
.050
.025
.010
.001
2.94
4.28
5.75
7.88
14.20
2.55
3.42
4.35
5.66
9.47
2.34
3.03
3.75
4.76
7.67
2.21
2.80
3.41
4.26
6.70
2.11
2.64
3.18
3.94
6.08
2.05
2.53
3.02
3.71
5.65
1.99
2.44
2.90
3.54
5.33
1.95
2.37
2.81
3.41
5.09
1.92
2.32
2.73
3.30
4.89
1.89
2.27
2.67
3.21
4.73
1.84
2.20
2.57
3.07
4.48
1.80
2.13
2.47
2.93
4.23
1.74
2.05
2.36
2.78
3.96
1.71
2.00
2.29
2.69
3.79
1.69
1.96
2.24
2.62
3.68
1.66
1.91
2.18
2.54
3.53
1.64
1.88
2.14
2.48
3.44
1.62
1.86
2.11
2.45
3.38
1.59
1.81
2.04
2.35
3.22
1.55
1.76
1.98
2.27
3.08
24
.100
.050
.025
.010
.001
2.93
4.26
5.72
7.82
14.03
2.54
3.40
4.32
5.61
9.34
2.33
3.01
3.72
4.72
7.55
2.19
2.78
3.38
4.22
6.59
2.10
2.62
3.15
3.90
5.98
2.04
2.51
2.99
3.67
5.55
1.98
2.42
2.87
3.50
5.23
1.94
2.36
2.78
3.36
4.99
1.91
2.30
2.70
3.26
4.80
1.88
2.25
2.64
3.17
4.64
1.83
2.18
2.54
3.03
4.39
1.78
2.11
2.44
2.89
4.14
1.73
2.03
2.33
2.74
3.87
1.70
1.97
2.26
2.64
3.71
1.67
1.94
2.21
2.58
3.59
1.64
1.89
2.15
2.49
3.45
1.62
1.86
2.11
2.44
3.36
1.61
1.84
2.08
2.40
3.29
1.57
1.79
2.01
2.31
3.14
1.54
1.74
1.94
2.22
2.99
25
.100
.050
.025
.010
.001
2.92
4.24
5.69
7.77
13.88
2.53
3.39
4.29
5.57
9.22
2.32
2.99
3.69
4.68
7.45
2.18
2.76
3.35
4.18
6.49
2.09
2.60
3.13
3.85
5.89
2.02
2.49
2.97
3.63
5.46
1.97
2.40
2.85
3.46
5.15
1.93
2.34
2.75
3.32
4.91
1.89
2.28
2.68
3.22
4.71
1.87
2.24
2.61
3.13
4.56
1.82
2.16
2.51
2.99
4.31
1.77
2.09
2.41
2.85
4.06
1.72
2.01
2.30
2.70
3.79
1.68
1.96
2.23
2.60
3.63
1.66
1.92
2.18
2.54
3.52
1.63
1.87
2.12
2.45
3.37
1.61
1.84
2.08
2.40
3.28
1.59
1.82
2.05
2.36
3.22
1.56
1.77
1.98
2.27
3.06
1.52
1.72
1.91
2.18
2.91
26
.100
.050
.025
.010
.001
2.91
4.23
5.66
7.72
13.74
2.52
3.37
4.27
5.53
9.12
2.31
2.98
3.67
4.64
7.36
2.17
2.74
3.33
4.14
6.41
2.08
2.59
3.10
3.82
5.80
2.01
2.47
2.94
3.59
5.38
1.96
2.39
2.82
3.42
5.07
1.92
2.32
2.73
3.29
4.83
1.88
2.27
2.65
3.18
4.64
1.86
2.22
2.59
3.09
4.48
1.81
2.15
2.49
2.96
4.24
1.76
2.07
2.39
2.81
3.99
1.71
1.99
2.28
2.66
3.72
1.67
1.94
2.21
2.57
3.56
1.65
1.90
2.16
2.50
3.44
1.61
1.85
2.09
2.42
3.30
1.59
1.82
2.05
2.36
3.21
1.58
1.80
2.03
2.33
3.15
1.54
1.75
1.95
2.23
2.99
1.51
1.70
1.89
2.14
2.84
27
.100
.050
.025
.010
.001
2.90
4.21
5.63
7.68
13.61
2.51
3.35
4.24
5.49
9.02
2.30
2.96
3.65
4.60
7.27
2.17
2.73
3.31
4.11
6.33
2.07
2.57
3.08
3.78
5.73
2.00
2.46
2.92
3.56
5.31
1.95
2.37
2.80
3.39
5.00
1.91
2.31
2.71
3.26
4.76
1.87
2.25
2.63
3.15
4.57
1.85
2.20
2.57
3.06
4.41
1.80
2.13
2.47
2.93
4.17
1.75
2.06
2.36
2.78
3.92
1.70
1.97
2.25
2.63
3.66
1.66
1.92
2.18
2.54
3.49
1.64
1.88
2.13
2.47
3.38
1.60
1.84
2.07
2.38
3.23
1.58
1.81
2.03
2.33
3.14
1.57
1.79
2.00
2.29
3.08
1.53
1.73
1.93
2.20
2.92
1.50
1.68
1.86
2.11
2.78
TABLA D Valores críticos de la distribución F de Fisher (cont.)
TABLA D Valores críticos de la distribución F de Fisher (cont.)
Grados de libertad en el numerador
Grados de libertad en el denominador
Grados de libertad en el numerador
p
1
2
3
4
5
6
7
8
9
10
12
15
20
25
30
40
50
60
120
1000
28
.100
.050
.025
.010
.001
2.89
4.20
5.61
7.64
13.50
2.50
3.34
4.22
5.45
8.93
2.29
2.95
3.63
4.57
7.19
2.16
2.71
3.29
4.07
6.25
2.06
2.56
3.06
3.75
5.66
2.00
2.45
2.90
3.53
5.24
1.94
2.36
2.78
3.36
4.93
1.90
2.29
2.69
3.23
4.69
1.87
2.24
2.61
3.12
4.50
1.84
2.19
2.55
3.03
4.35
1.79
2.12
2.45
2.90
4.11
1.74
2.04
2.34
2.75
3.86
1.69
1.96
2.23
2.60
3.60
1.65
1.91
2.16
2.51
3.43
1.63
1.87
2.11
2.44
3.32
1.59
1.82
2.05
2.35
3.18
1.57
1.79
2.01
2.30
3.09
1.56
1.77
1.98
2.26
3.02
1.52
1.71
1.91
2.17
2.86
1.48
1.66
1.84
2.08
2.72
29
.100
.050
.025
.010
.001
2.89
4.18
5.59
7.60
13.39
2.50
3.33
4.20
5.42
8.85
2.28
2.93
3.61
4.54
7.12
2.15
2.70
3.27
4.04
6.19
2.06
2.55
3.04
3.73
5.59
1.99
2.43
2.88
3.50
5.18
1.93
2.35
2.76
3.33
4.87
1.89
2.28
2.67
3.20
4.64
1.86
2.22
2.59
3.09
4.45
1.83
2.18
2.53
3.00
4.29
1.78
2.10
2.43
2.87
4.05
1.73
2.03
2.32
2.73
3.80
1.68
1.94
2.21
2.57
3.54
1.64
1.89
2.14
2.48
3.38
1.62
1.85
2.09
2.41
3.27
1.58
1.81
2.03
2.33
3.12
1.56
1.77
1.99
2.27
3.03
1.55
1.75
1.96
2.23
2.97
1.51
1.70
1.89
2.14
2.81
1.47
1.65
1.82
2.05
2.66
30
.100
.050
.025
.010
.001
2.88
4.17
5.57
7.56
13.29
2.49
3.32
4.18
5.39
8.77
2.28
2.92
3.59
4.51
7.05
2.14
2.69
3.25
4.02
6.12
2.05
2.53
3.03
3.70
5.53
1.98
2.42
2.87
3.47
5.12
1.93
2.33
2.75
3.30
4.82
1.88
2.27
2.65
3.17
4.58
1.85
2.21
2.57
3.07
4.39
1.82
2.16
2.51
2.98
4.24
1.77
2.09
2.41
2.84
4.00
1.72
2.01
2.31
2.70
3.75
1.67
1.93
2.20
2.55
3.49
1.63
1.88
2.12
2.45
3.33
1.61
1.84
2.07
2.39
3.22
1.57
1.79
2.01
2.30
3.07
1.55
1.76
1.97
2.25
2.98
1.54
1.74
1.94
2.21
2.92
1.50
1.68
1.87
2.11
2.76
1.46
1.63
1.80
2.02
2.61
40
.100
.050
.025
.010
.001
2.84
4.08
5.42
7.31
12.61
2.44
3.23
4.05
5.18
8.25
2.23
2.84
3.46
4.31
6.59
2.09
2.61
3.13
3.83
5.70
2.00
2.45
2.90
3.51
5.13
1.93
2.34
2.74
3.29
4.73
1.87
2.25
2.62
3.12
4.44
1.83
2.18
2.53
2.99
4.21
1.79
2.12
2.45
2.89
4.02
1.76
2.08
2.39
2.80
3.87
1.71
2.00
2.29
2.66
3.64
1.66
1.92
2.18
2.52
3.40
1.61
1.84
2.07
2.37
3.14
1.57
1.78
1.99
2.27
2.98
1.54
1.74
1.94
2.20
2.87
1.51
1.69
1.88
2.11
2.73
1.48
1.66
1.83
2.06
2.64
1.47
1.64
1.80
2.02
2.57
1.42
1.58
1.72
1.92
2.41
1.38
1.52
1.65
1.82
2.25
50
.100
.050
.025
.010
.001
2.81
4.03
5.34
7.17
12.22
2.41
3.18
3.97
5.06
7.96
2.20
2.79
3.39
4.20
6.34
2.06
2.56
3.05
3.72
5.46
1.97
2.40
2.83
3.41
4.90
1.90
2.29
2.67
3.19
4.51
1.84
2.20
2.55
3.02
4.22
1.80
2.13
2.46
2.89
4.00
1.76
2.07
2.38
2.78
3.82
1.73
2.03
2.32
2.70
3.67
1.68
1.95
2.22
2.56
3.44
1.63
1.87
2.11
2.42
3.20
1.57
1.78
1.99
2.27
2.95
1.53
1.73
1.92
2.17
2.79
1.50
1.69
1.87
2.10
2.68
1.46
1.63
1.80
2.01
2.53
1.44
1.60
1.75
1.95
2.44
1.42
1.58
1.72
1.91
2.38
1.38
1.51
1.64
1.80
2.21
1.33
1.45
1.56
1.70
2.05
60
.100
.050
.025
.010
.001
2.79
4.00
5.29
7.08
11.97
2.39
3.15
3.93
4.98
7.77
2.18
2.76
3.34
4.13
6.17
2.04
2.53
3.01
3.65
5.31
1.95
2.37
2.79
3.34
4.76
1.87
2.25
2.63
3.12
4.37
1.82
2.17
2.51
2.95
4.09
1.77
2.10
2.41
2.82
3.86
1.74
2.04
2.33
2.72
3.69
1.71
1.99
2.27
2.63
3.54
1.66
1.92
2.17
2.50
3.32
1.60
1.84
2.06
2.35
3.08
1.54
1.75
1.94
2.20
2.83
1.50
1.69
1.87
2.10
2.67
1.48
1.65
1.82
2.03
2.55
1.44
1.59
1.74
1.94
2.41
1.41
1.56
1.70
1.88
2.32
1.40
1.53
1.67
1.84
2.25
1.35
1.47
1.58
1.73
2.08
1.30
1.40
1.49
1.62
1.92
100
.100
.050
.025
.010
.001
2.76
3.94
5.18
6.90
11.50
2.36
3.09
3.83
4.82
7.41
2.14
2.70
3.25
3.98
5.86
2.00
2.46
2.92
3.51
5.02
1.91
2.31
2.70
3.21
4.48
1.83
2.19
2.54
2.99
4.11
1.78
2.10
2.42
2.82
3.83
1.73
2.03
2.32
2.69
3.61
1.69
1.97
2.24
2.59
3.44
1.66
1.93
2.18
2.50
3.30
1.61
1.85
2.08
2.37
3.07
1.56
1.77
1.97
2.22
2.84
1.49
1.68
1.85
2.07
2.59
1.45
1.62
1.77
1.97
2.43
1.42
1.57
1.71
1.89
2.32
1.38
1.52
1.64
1.80
2.17
1.35
1.48
1.59
1.74
2.08
1.34
1.45
1.56
1.69
2.01
1.28
1.38
1.46
1.57
1.83
1.22
1.30
1.36
1.45
1.64
200
.100
.050
.025
.010
.001
2.73
3.89
5.10
6.76
11.15
2.33
3.04
3.76
4.71
7.15
2.11
2.65
3.18
3.88
5.63
1.97
2.42
2.85
3.41
4.81
1.88
2.26
2.63
3.11
4.29
1.80
2.14
2.47
2.89
3.92
1.75
2.06
2.35
2.73
3.65
1.70
1.98
2.26
2.60
3.43
1.66
1.93
2.18
2.50
3.26
1.63
1.88
2.11
2.41
3.12
1.58
1.80
2.01
2.27
2.90
1.52
1.72
1.90
2.13
2.67
1.46
1.62
1.78
1.97
2.42
1.41
1.56
1.70
1.87
2.26
1.38
1.52
1.64
1.79
2.15
1.34
1.46
1.56
1.69
2.00
1.31
1.41
1.51
1.63
1.90
1.29
1.39
1.47
1.58
1.83
1.23
1.30
1.37
1.45
1.64
1.16
1.21
1.25
1.30
1.43
1000
.100
.050
.025
.010
.001
2.71
3.85
5.04
6.66
10.89
2.31
3.00
3.70
4.63
6.96
2.09
2.61
3.13
3.80
5.46
1.95
2.38
2.80
3.34
4.65
1.85
2.22
2.58
3.04
4.14
1.78
2.11
2.42
2.82
3.78
1.72
2.02
2.30
2.66
3.51
1.68
1.95
2.20
2.53
3.30
1.64
1.89
2.13
2.43
3.13
1.61
1.84
2.06
2.34
2.99
1.55
1.76
1.96
2.20
2.77
1.49
1.68
1.85
2.06
2.54
1.43
1.58
1.72
1.90
2.30
1.38
1.52
1.64
1.79
2.14
1.35
1.47
1.58
1.72
2.02
1.30
1.41
1.50
1.61
1.87
1.27
1.36
1.45
1.54
1.77
1.25
1.33
1.41
1.50
1.69
1.18
1.24
1.29
1.35
1.49
1.08
1.11
1.13
1.16
1.22