TABLE 2 Student’s t Distribution

Entries in this table provide the values of tα,df that correspond to a given upper-tail area α and a specified number of degrees of freedom df. For example, for α = 0.05 and df = 10, P(T10 ≥ 1.812) = 0.05.

A normal distribution curve with the center at 0 with a shaded upper tail area right of t sub (alpha, d f) till t sub d f.

df α
  0.200 0.100 0.050 0.025 0.010 0.005
1 1.376 3.078 6.314 12.706 31.821 63.657
2 1.061 1.886 2.920 4.303 6.965 9.925
3 0.978 1.638 2.353 3.182 4.541 5.841
4 0.941 1.533 2.132 2.776 3.747 4.604
5 0.920 1.476 2.015 2.571 3.365 4.032
6 0.906 1.440 1.943 2.447 3.143 3.707
7 0.896 1.415 1.895 2.365 2.998 3.499
8 0.889 1.397 1.860 2.306 2.896 3.355
9 0.883 1.383 1.833 2.262 2.821 3.250
10 0.879 1.372 1.812 2.228 2.764 3.169
11 0.876 1.363 1.796 2.201 2.718 3.106
12 0.873 1.356 1.782 2.179 2.681 3.055
13 0.870 1.350 1.771 2.160 2.650 3.012
14 0.868 1.345 1.761 2.145 2.624 2.977
15 0.866 1.341 1.753 2.131 2.602 2.947
16 0.865 1.337 1.746 2.120 2.583 2.921
17 0.863 1.333 1.740 2.110 2.567 2.898
18 0.862 1.330 1.734 2.101 2.552 2.878
19 0.861 1.328 1.729 2.093 2.539 2.861
20 0.860 1.325 1.725 2.086 2.528 2.845
21 0.859 1.323 1.721 2.080 2.518 2.831
22 0.858 1.321 1.717 2.074 2.508 2.819
23 0.858 1.319 1.714 2.069 2.500 2.807
24 0.857 1.318 1.711 2.064 2.492 2.797
25 0.856 1.316 1.708 2.060 2.485 2.787
26 0.856 1.315 1.706 2.056 2.479 2.779
27 0.855 1.314 1.703 2.052 2.473 2.771
28 0.855 1.313 1.701 2.048 2.467 2.763
29 0.854 1.311 1.699 2.045 2.462 2.756
30 0.854 1.310 1.697 2.042 2.457 2.750
31 0.853 1.309 1.696 2.040 2.453 2.744
32 0.853 1.309 1.694 2.037 2.449 2.738
33 0.853 1.308 1.692 2.035 2.445 2.733
34 0.852 1.307 1.691 2.032 2.441 2.728
35 0.852 1.306 1.690 2.030 2.438 2.724
36 0.852 1.306 1.688 2.028 2.434 2.719
37 0.851 1.305 1.687 2.026 2.431 2.715
38 0.851 1.304 1.686 2.024 2.429 2.712
39 0.851 1.304 1.685 2.023 2.426 2.708
40 0.851 1.303 1.684 2.021 2.423 2.704
41 0.850 1.303 1.683 2.020 2.421 2.701
42 0.850 1.302 1.682 2.018 2.418 2.698
43 0.850 1.302 1.681 2.017 2.416 2.695
44 0.850 1.301 1.680 2.015 2.414 2.692
45 0.850 1.301 1.679 2.014 2.412 2.690
46 0.850 1.300 1.679 2.013 2.410 2.687
47 0.849 1.300 1.678 2.012 2.408 2.685
48 0.849 1.299 1.677 2.011 2.407 2.682
49 0.849 1.299 1.677 2.010 2.405 2.680
50 0.849 1.299 1.676 2.009 2.403 2.678
51 0.849 1.298 1.675 2.008 2.402 2.676
52 0.849 1.298 1.675 2.007 2.400 2.674
53 0.848 1.298 1.674 2.006 2.399 2.672
54 0.848 1.297 1.674 2.005 2.397 2.670
55 0.848 1.297 1.673 2.004 2.396 2.668
56 0.848 1.297 1.673 2.003 2.395 2.667
57 0.848 1.297 1.672 2.002 2.394 2.665
58 0.848 1.296 1.672 2.002 2.392 2.663
59 0.848 1.296 1.671 2.001 2.391 2.662
60 0.848 1.296 1.671 2.000 2.390 2.660
80 0.846 1.292 1.664 1.990 2.374 2.639
100 0.845 1.290 1.660 1.984 2.364 2.626
150 0.844 1.287 1.655 1.976 2.351 2.609
200 0.843 1.286 1.653 1.972 2.345 2.601
500 0.842 1.283 1.648 1.965 2.334 2.586
1000 0.842 1.282 1.646 1.962 2.330 2.581
∞ 0.842 1.282 1.645 1.960 2.326 2.576

Source: t values calculated with Excel.