Student's T-Test Table
"Critical T Values" for Student's T-Test for different confidence levels and degreees of freedom (df):
one-tail | 0.2 | 0.1 | 0.05 | 0.025 | 0.02 | 0.01 | 0.005 | 0.0025 | 0.002 | 0.001 |
---|---|---|---|---|---|---|---|---|---|---|
two-tail | 0.4 | 0.2 | 0.1 | 0.05 | 0.04 | 0.02 | 0.01 | 0.005 | 0.004 | 0.002 |
df 1 | 1.376 | 3.078 | 6.314 | 12.71 | 15.89 | 31.82 | 63.66 | 127.3 | 159.1 | 318.3 |
2 | 1.061 | 1.886 | 2.920 | 4.303 | 4.849 | 6.965 | 9.925 | 14.09 | 15.76 | 22.33 |
3 | 0.978 | 1.638 | 2.353 | 3.182 | 3.482 | 4.541 | 5.841 | 7.453 | 8.053 | 10.21 |
4 | 0.941 | 1.533 | 2.132 | 2.776 | 2.999 | 3.747 | 4.604 | 5.598 | 5.951 | 7.173 |
5 | 0.920 | 1.476 | 2.015 | 2.571 | 2.757 | 3.365 | 4.032 | 4.773 | 5.030 | 5.893 |
6 | 0.906 | 1.440 | 1.943 | 2.447 | 2.612 | 3.143 | 3.707 | 4.317 | 4.524 | 5.208 |
7 | 0.896 | 1.415 | 1.895 | 2.365 | 2.517 | 2.998 | 3.499 | 4.029 | 4.207 | 4.785 |
8 | 0.889 | 1.397 | 1.860 | 2.306 | 2.449 | 2.896 | 3.355 | 3.833 | 3.991 | 4.501 |
9 | 0.883 | 1.383 | 1.833 | 2.262 | 2.398 | 2.821 | 3.250 | 3.690 | 3.834 | 4.297 |
10 | 0.879 | 1.372 | 1.812 | 2.228 | 2.359 | 2.764 | 3.169 | 3.581 | 3.716 | 4.144 |
11 | 0.876 | 1.363 | 1.796 | 2.201 | 2.328 | 2.718 | 3.106 | 3.497 | 3.624 | 4.025 |
12 | 0.873 | 1.356 | 1.782 | 2.179 | 2.303 | 2.681 | 3.055 | 3.428 | 3.550 | 3.930 |
13 | 0.870 | 1.350 | 1.771 | 2.160 | 2.282 | 2.650 | 3.012 | 3.372 | 3.489 | 3.852 |
14 | 0.868 | 1.345 | 1.761 | 2.145 | 2.264 | 2.624 | 2.977 | 3.326 | 3.438 | 3.787 |
15 | 0.866 | 1.341 | 1.753 | 2.131 | 2.249 | 2.602 | 2.947 | 3.286 | 3.395 | 3.733 |
16 | 0.865 | 1.337 | 1.746 | 2.120 | 2.235 | 2.583 | 2.921 | 3.252 | 3.358 | 3.686 |
17 | 0.863 | 1.333 | 1.740 | 2.110 | 2.224 | 2.567 | 2.898 | 3.222 | 3.326 | 3.646 |
18 | 0.862 | 1.330 | 1.734 | 2.101 | 2.214 | 2.552 | 2.878 | 3.197 | 3.298 | 3.610 |
19 | 0.861 | 1.328 | 1.729 | 2.093 | 2.205 | 2.539 | 2.861 | 3.174 | 3.273 | 3.579 |
20 | 0.860 | 1.325 | 1.725 | 2.086 | 2.197 | 2.528 | 2.845 | 3.153 | 3.251 | 3.552 |
21 | 0.859 | 1.323 | 1.721 | 2.080 | 2.189 | 2.518 | 2.831 | 3.135 | 3.231 | 3.527 |
22 | 0.858 | 1.321 | 1.717 | 2.074 | 2.183 | 2.508 | 2.819 | 3.119 | 3.214 | 3.505 |
23 | 0.858 | 1.319 | 1.714 | 2.069 | 2.177 | 2.500 | 2.807 | 3.104 | 3.198 | 3.485 |
24 | 0.857 | 1.318 | 1.711 | 2.064 | 2.172 | 2.492 | 2.797 | 3.091 | 3.183 | 3.467 |
25 | 0.856 | 1.316 | 1.708 | 2.060 | 2.167 | 2.485 | 2.787 | 3.078 | 3.170 | 3.450 |
26 | 0.856 | 1.315 | 1.706 | 2.056 | 2.162 | 2.479 | 2.779 | 3.067 | 3.158 | 3.435 |
27 | 0.855 | 1.314 | 1.703 | 2.052 | 2.158 | 2.473 | 2.771 | 3.057 | 3.146 | 3.421 |
28 | 0.855 | 1.313 | 1.701 | 2.048 | 2.154 | 2.467 | 2.763 | 3.047 | 3.136 | 3.408 |
29 | 0.854 | 1.311 | 1.699 | 2.045 | 2.150 | 2.462 | 2.756 | 3.038 | 3.127 | 3.396 |
30 | 0.854 | 1.310 | 1.697 | 2.042 | 2.147 | 2.457 | 2.750 | 3.030 | 3.118 | 3.385 |
40 | 0.851 | 1.303 | 1.684 | 2.021 | 2.123 | 2.423 | 2.704 | 2.971 | 3.054 | 3.307 |
50 | 0.849 | 1.299 | 1.676 | 2.009 | 2.109 | 2.403 | 2.678 | 2.937 | 3.018 | 3.261 |
60 | 0.848 | 1.296 | 1.671 | 2.000 | 2.099 | 2.390 | 2.660 | 2.915 | 2.994 | 3.232 |
70 | 0.847 | 1.294 | 1.667 | 1.994 | 2.093 | 2.381 | 2.648 | 2.899 | 2.977 | 3.211 |
80 | 0.846 | 1.292 | 1.664 | 1.990 | 2.088 | 2.374 | 2.639 | 2.887 | 2.964 | 3.195 |
90 | 0.846 | 1.291 | 1.662 | 1.987 | 2.084 | 2.368 | 2.632 | 2.878 | 2.954 | 3.183 |
100 | 0.845 | 1.290 | 1.660 | 1.984 | 2.081 | 2.364 | 2.626 | 2.871 | 2.946 | 3.174 |
1000 | 0.842 | 1.282 | 1.646 | 1.962 | 2.056 | 2.330 | 2.581 | 2.813 | 2.885 | 3.098 |
10000 | 0.842 | 1.282 | 1.645 | 1.960 | 2.054 | 2.327 | 2.576 | 2.808 | 2.879 | 3.091 |