Critical t-values for various \(\alpha\)-levels and Degrees of freedom.
Find the appropriate critical value at the intersection of \(\alpha\) and df.
|
\(\alpha\)-level
|
df
|
0.05
|
0.025
|
0.01
|
0.005
|
1
|
6.314
|
12.706
|
31.821
|
63.657
|
2
|
2.920
|
4.303
|
6.965
|
9.925
|
3
|
2.353
|
3.182
|
4.541
|
5.841
|
4
|
2.132
|
2.776
|
3.747
|
4.604
|
5
|
2.015
|
2.571
|
3.365
|
4.032
|
6
|
1.943
|
2.447
|
3.143
|
3.707
|
7
|
1.895
|
2.365
|
2.998
|
3.499
|
8
|
1.860
|
2.306
|
2.896
|
3.355
|
9
|
1.833
|
2.262
|
2.821
|
3.250
|
10
|
1.812
|
2.228
|
2.764
|
3.169
|
11
|
1.796
|
2.201
|
2.718
|
3.106
|
12
|
1.782
|
2.179
|
2.681
|
3.055
|
13
|
1.771
|
2.160
|
2.650
|
3.012
|
14
|
1.761
|
2.145
|
2.624
|
2.977
|
15
|
1.753
|
2.131
|
2.602
|
2.947
|
16
|
1.746
|
2.120
|
2.583
|
2.921
|
17
|
1.740
|
2.110
|
2.567
|
2.898
|
18
|
1.734
|
2.101
|
2.552
|
2.878
|
19
|
1.729
|
2.093
|
2.539
|
2.861
|
20
|
1.725
|
2.086
|
2.528
|
2.845
|
21
|
1.721
|
2.080
|
2.518
|
2.831
|
22
|
1.717
|
2.074
|
2.508
|
2.819
|
23
|
1.714
|
2.069
|
2.500
|
2.807
|
24
|
1.711
|
2.064
|
2.492
|
2.797
|
25
|
1.708
|
2.060
|
2.485
|
2.787
|
26
|
1.706
|
2.056
|
2.479
|
2.779
|
27
|
1.703
|
2.052
|
2.473
|
2.771
|
28
|
1.701
|
2.048
|
2.467
|
2.763
|
29
|
1.699
|
2.045
|
2.462
|
2.756
|
30
|
1.697
|
2.042
|
2.457
|
2.750
|
40
|
1.684
|
2.021
|
2.423
|
2.704
|
50
|
1.676
|
2.009
|
2.403
|
2.678
|
60
|
1.671
|
2.000
|
2.390
|
2.660
|
70
|
1.667
|
1.994
|
2.381
|
2.648
|
80
|
1.664
|
1.990
|
2.374
|
2.639
|
90
|
1.662
|
1.987
|
2.368
|
2.632
|
100
|
1.660
|
1.984
|
2.364
|
2.626
|
110
|
1.659
|
1.982
|
2.361
|
2.621
|
120
|
1.658
|
1.980
|
2.358
|
2.617
|
130
|
1.657
|
1.978
|
2.355
|
2.614
|
140
|
1.656
|
1.977
|
2.353
|
2.611
|
150
|
1.655
|
1.976
|
2.351
|
2.609
|
∞
|
1.646
|
1.962
|
2.330
|
2.581
|