t Table cum. prob one-tail two-tails '.50 0.50 1.00 '.75 0.25 0.50 '.80 0.20 0.40 '.85 0.15 0.30 '.90 0.10 0.20 '.95 0.05 0.10 '.975 0.025 0.05 '.99 0.01 0.02 '.995 0.005 0.01 '.999 0.001 0.002 '.9995 0.0005 0.001 df 1 2 3 4 5 0.000 0.000 0.000 0.000 0.000 1.000 0.816 0.765 0.741 0.727 1.376 1.061 0.978 0.941 0.920 1.963 1.386 1.250 1.190 1.156 3.078 1.886 1.638 1.533 1.476 6.314 2.920 2.353 2.132 2.015 12.71 4.303 3.182 2.776 2.571 31.82 6.965 4.541 3.747 3.365 63.66 9.925 5.841 4.604 4.032 318.31 22.327 10.215 7.173 5.893 636.62 31.599 12.924 8.610 6.869 ■ 0.000 0.000 0.000 0.000 0.000 0.718 0.711 0.706 0.703 0.700 0.906 0.896 0.889 0.883 0.879 1.134 1.119 1.108 1.100 1.093 1.440 1.415 1.397 1.383 1.372 1.943 1.895 1.860 1.833 1.812 2.447 2.365 2.306 2.262 2.228 3.143 2.998 2.896 2.821 2.764 3.707 3.499 3.355 3.250 3.169 5.208 4.785 4.501 4.297 4.144 5.959 5.408 5.041 4.781 4.587 11 12 13 14 15 0.000 0.000 0.000 0.000 0.000 0.697 0.695 0.694 0.692 0.691 0.876 0.873 0.870 0.868 0.866 1.088 1.083 1.079 1.076 1.074 1.363 1.356 1.350 1.345 1.341 1.796 1.782 1.771 1.761 1.753 2.201 2.179 2.160 2.145 2.131 2.718 2.681 2.650 2.624 2.602 3.106 3.055 3.012 2.977 2.947 4.025 3.930 3.852 3.787 3.733 4.437 4.318 4.221 4.140 4.073 IS 20 0.000 0.000 0.000 0.000 0.000 0.690 0.689 0.688 0.688 0.687 0.865 0.863 0.862 0.861 0.860 1.071 1.069 1.067 1.066 1.064 1.337 1.333 1.330 1.328 1.325 1.746 1.740 1.734 1.729 1.725 2.120 2.110 2.101 2.093 2.086 2.583 2.567 2.552 2.539 2.528 2.921 2.898 2.878 2.861 2.845 3.686 3.646 3.610 3.579 3.552 4.015 3.965 3.922 3.883 3.850 21 22 23 24 25 0.000 0.000 0.000 0.000 0.000 0.686 0.686 0.685 0.685 0.684 0.859 0.858 0.858 0.857 0.856 1.063 1.061 1.060 1.059 1.058 1.323 1.321 1.319 1.318 1.316 1.721 1.717 1.714 1.711 1.708 2.080 2.074 2.069 2.064 2.060 2.518 2.508 2.500 2.492 2.485 2.831 2.819 2.807 2.797 2.787 3.527 3.505 3.485 3.467 3.450 3.819 3.792 3.768 3.745 3.725 26 27 28 29 30 0.000 0.000 0.000 0.000 0.000 0.684 0.684 0.683 0.683 0.683 0.856 0.855 0.855 0.854 0.854 1.058 1.057 1.056 1.055 1.055 1.315 1.314 1.313 1.311 1.310 1.706 1.703 1.701 1.699 1.697 2.056 2.052 2.048 2.045 2.042 2.479 2.473 2.467 2.462 2.457 2.779 2.771 2.763 2.756 2.750 3.435 3.421 3.408 3.396 3.385 3.707 3.690 3.674 3.659 3.646 40 60 80 100 1000 0.000 0.000 0.000 0.000 0.000 0.681 0.679 0.678 0.677 0.675 0.851 0.848 0.846 0.845 0.842 1.050 1.045 1.043 1.042 1.037 1.303 1.296 1.292 1.290 1.282 1.684 1.671 1.664 1.660 1.646 2.021 2.000 1.990 1.984 1.962 2.423 2.390 2.374 2.364 2.330 2.704 2.660 2.639 2.626 2.581 3.307 3.232 3.195 3.174 3.098 3.551 3.460 3.416 3.390 3.300 Z 0.000 0.674 0.842 1.036 1.282 1.645 1.960 2.326 2.576 3.090 3.291 0% 50% 60% 70% 80% 90% 95% 98% 99% 99.8% 99.9% Confidence Level t-table.xls 7/14/2007