Environmental Engineering Reference
In-Depth Information
C.2 CRITICAL VALUES OF THE
t
DISTRIBUTION
TABLE C.2. Critical Values of the
t
Distribution
α
α
ν
0.10
0.05
0.025
0.01
0.005
ν
0.10
0.05
0.025
0.01
0.005
1
3.078
6.314
12.706
31.821
63.657
19
1.328
1.729
2.093
2.539
2.861
2
1.886
2.920
4.303
6.965
9.925
20
1.325
1.725
2.086
2.528
2.845
3
1.638
2.353
3.182
4.541
5.841
21
1.323
1.721
2.080
2.518
2.831
4
1.533
2.132
2.776
3.747
4.604
22
1.321
1.717
2.074
2.508
2.819
5
1.476
2.015
2.571
3.365
4.032
23
1.319
1.714
2.069
2.500
2.807
6
1.440
1.943
2.447
3.143
3.707
24
1.318
1.711
2.064
2.492
2.797
7
1.415
1.895
2.365
2.998
3.499
25
1.316
1.708
2.060
2.485
2.787
8
1.397
1.860
2.306
2.896
3.355
26
1.315
1.706
2.056
2.479
2.779
9
1.383
1.833
2.262
2.821
3.250
27
1.314
1.703
2.052
2.473
2.771
10
1.372
1.812
2.228
2.764
3.169
28
1.313
1.701
2.048
2.467
2.763
11
1.363
1.796
2.201
2.718
3.106
29
1.311
1.699
2.045
2.462
2.756
12
1.356
1.782
2.179
2.681
3.055
30
1.310
1.697
2.042
2.457
2.750
13
1.350
1.771
2.160
2.650
3.012
40
1.303
1.684
2.021
2.423
2.704
14
1.345
1.761
2.145
2.624
2.977
60
1.296
1.671
2.000
2.390
2.660
15
1.341
1.753
2.131
2.602
2.947
120
1.289
1.658
1.980
2.358
2.617
16
1.337
1.746
2.120
2.583
2.921
∞
1.282
1.645
1.960
2.326
2.576
17
1.333
1.740
2.110
2.567
2.898
18
1.330
1.734
2.101
2.552
2.878
C.3 CRITICAL VALUES OF THE CHI-SQUARE DISTRIBUTION
TABLE C.3. Critical Values of the Chi-Square Distribution
α
ν
0.995
0.990
0.975
0.950
0.050
0.025
0.010
0.005
1
.000
.000
.001
.004
3.841
5.024
6.635
7.880
2
.010
.020
.051
.103
5.991
7.378
9.210
10.597
3
.072
.115
.216
.352
7.815
9.348
11.345
12.838
4
.207
.297
.484
.711
9.488
11.143
13.277
14.861
5
.412
.554
.831
1.145
11.071
12.833
15.086
16.750
6
.676
.872
1.237
1.635
12.592
14.449
16.812
18.548
7
.989
1.239
1.690
2.167
14.067
16.013
18.476
20.279
8
1.344
1.646
2.180
2.733
15.507
17.535
20.090
21.956
9
1.735
2.088
2.700
3.325
16.919
19.023
21.666
23.590
10
2.156
2.558
3.247
3.940
18.307
20.483
23.210
25.189
11
2.603
3.053
3.816
4.575
19.675
21.920
24.725
26.757
12
3.074
3.571
4.404
5.226
21.026
23.337
26.217
28.300
13
3.565
4.107
5.009
5.892
22.362
24.736
27.688
29.819
14
4.075
4.660
5.629
6.571
23.685
26.119
29.141
31.319
15
4.601
5.229
6.262
7.261
24.996
27.488
30.578
32.801
16
5.142
5.812
6.908
7.962
26.296
28.845
32.000
34.267
17
5.697
6.408
7.564
8.672
27.587
30.191
33.409
35.718
18
6.265
7.015
8.231
9.390
28.869
31.526
34.805
37.156
19
6.844
7.633
8.907
10.117
30.144
32.852
36.191
38.582
Continued
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