Table Z: Areas Under The Standard Normal Curve, Table T: Critical Values For The Student'S T Distributions, Table X: Critical Values For The Chi-Squared Distributions Chart Page 3

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Table T: Critical values for the Student's T distributions
0.20
0.10
0.05
0.02
0.01
two tail probability
0.10
0.05
0.025
0.01
0.005
one tail probability
df
df
1
3.078
6.314
12.706
31.821
63.657
1
2
1.886
2.920
4.303
6.965
9.925
2
3
1.638
2.353
3.182
4.541
5.841
3
4
1.533
2.132
2.776
3.747
4.604
4
5
1.476
2.015
2.571
3.365
4.032
5
6
1.440
1.943
2.447
3.143
3.707
6
7
1.415
1.895
2.365
2.998
3.499
7
8
1.397
1.860
2.306
2.896
3.355
8
9
1.383
1.833
2.262
2.821
3.250
9
10
1.372
1.812
2.228
2.764
3.169
10
11
1.363
1.796
2.201
2.718
3.106
11
12
1.356
1.782
2.179
2.681
3.055
12
13
1.350
1.771
2.160
2.650
3.012
13
14
1.345
1.761
2.145
2.624
2.977
14
15
1.341
1.753
2.131
2.602
2.947
15
16
1.337
1.746
2.120
2.583
2.921
16
17
1.333
1.740
2.110
2.567
2.898
17
18
1.330
1.734
2.101
2.552
2.878
18
19
1.328
1.729
2.093
2.539
2.861
19
20
1.325
1.725
2.086
2.528
2.845
20
21
1.323
1.721
2.080
2.518
2.831
21
22
1.321
1.717
2.074
2.508
2.819
22
23
1.319
1.714
2.069
2.500
2.807
23
24
1.318
1.711
2.064
2.492
2.797
24
25
1.316
1.708
2.060
2.485
2.787
25
26
1.315
1.706
2.056
2.479
2.779
26
27
1.314
1.703
2.052
2.473
2.771
27
28
1.313
1.701
2.048
2.467
2.763
28
29
1.311
1.699
2.045
2.462
2.756
29
30
1.310
1.697
2.042
2.457
2.750
30
32
1.309
1.694
2.037
2.449
2.738
32
35
1.306
1.690
2.030
2.438
2.724
35
40
1.303
1.684
2.021
2.423
2.704
40
45
1.301
1.679
2.014
2.412
2.690
45
50
1.299
1.676
2.009
2.403
2.678
50
60
1.296
1.671
2.000
2.390
2.660
60
75
1.293
1.665
1.992
2.377
2.643
75
90
1.291
1.662
1.987
2.368
2.632
90
120
1.289
1.658
1.980
2.358
2.617
120
150
1.287
1.655
1.976
2.351
2.609
150
250
1.285
1.651
1.969
2.341
2.596
250
500
1.283
1.648
1.965
2.334
2.586
500
750
1.283
1.647
1.963
2.331
2.582
750
1000
1.282
1.646
1.962
2.330
2.581
1000
normal ∞ (z)
(z) ∞
1.282
1.645
1.960
2.326
2.576
80%
90%
95%
98%
99%
confidence levels

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