TABLE 2 Student's t Distribution Entries in this table provide the values of ta df that correspond to a given upper-tail area a and a specified number of degrees of freedom df. For example, for a = 0.05 and df = 10, P(T10 1.812) = 0.05. Area In Upper Tall, a 11234567890 df 0.20 0.10 0.05 0.025 0.01 0.005 1.376 3.078 6.314 12.706 31.821 63.657 1.061 1.886 2.920 4.303 6.965 9.925 0.978 1.638 2.353 3.182 4.541 5.841 0.941 1.533 2.132 2.776 3.747 4.604 0.920 1.476 2.015 2.571 3.365 4.032 0.906 1.440 1.943 2.447 3.143 3.707 0.896 1.415 1.895 2.365 2.998 3.499 0.889 1.397 1.860 2.306 2.896 3.355 0.883 1.383 1.833 2.262 2.821 3.250 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 1000 2222222297447998 MK2 28688 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 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 0.855 1.314 1.703 2.052 2.473 2.771 0.855 1.313 1.701 2.048 2.467 2.763 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 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 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 0.849 1.300 1.678 2.012 2.408 2.685 0.849 1.299 1.677 2.011 2.407 2.682 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 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: tvalues calculated with Excel. tdf