附表二：标准正态分布表

Z 0.00 0.01 0.02 0.03 0.04 0.05 0.06 0.07 0.08 0.09 0.0 0.0000 0.0080 0.0160 0.0239 0.0319 0.0399 0.0478 0.0558 0.0638 0.0717 0.1 0.0797 0.0876 0.0955 0.1034 0.1113 0.1192 0.1271 0.1350 0.1428 0.1507 0.2 0.1585 0.1663 0.1741 0.1819 0.1897 0.1974 0.2051 0.2128 0.2205 0.2282 0.3 0.2358 0.2434 0.2510 0.2586 0.2661 0.2737 0.2812 0.2886 0.2961 0.3035 0.4 0.3108 0.3182 0.3255 0.3328 0.3401 0.3473 0.3545 0.3616 0.3688 0.3759 0.5 0.3829 0.3899 0.3969 0.4039 0.4108 0.4177 0.4245 0.4313 0.4381 0.4448 0.6 0.4515 0.4581 0.4647 0.4713 0.4778 0.4843 0.4907 0.4971 0.5035 0.5098 0.7 0.5161 0.5223 0.5285 0.5346 0.5407 0.5467 0.5527 0.5587 0.5646 0.5705 0.8 0.5763 0.5821 0.5878 0.5935 0.5991 0.6047 0.6102 0.6157 0.6211 0.6265 0.9 0.6319 0.6372 0.6424 0.6476 0.6528 0.6579 0.6629 0.6680 0.6729 0.6778 1.0 0.6827 0.6875 0.6923 0.6970 0.7017 0.7063 0.7109 0.7154 0.7199 0.7243 1.1 0.7287 0.7330 0.7373 0.7415 0.7457 0.7499 0.7540 0.7580 0.7620 0.7660 1.2 0.7699 0.7737 0.7775 0.7813 0.7850 0.7887 0.7923 0.7959 0.7995 0.8029 1.3 0.8064 0.8098 0.8132 0.8165 0.8198 0.8230 0.8262 0.8293 0.8324 0.8355 1.4 0.8385 0.8415 0.8444 0.8473 0.8501 0.8529 0.8557 0.8584 0.8611 0.8638 1.5 0.8664 0.8690 0.8715 0.8740 0.8764 0.8789 0.8812 0.8836 0.8859 0.8882 1.6 0.8904 0.8926 0.8948 0.8969 0.8990 0.9011 0.9031 0.9051 0.9070 0.9090 1.7 0.9109 0.9127 0.9146 0.9164 0.9181 0.9199 0.9216 0.9233 0.9249 0.9265 1.8 0.9281 0.9297 0.9312 0.9328 0.9342 0.9357 0.9371 0.9385 0.9399 0.9412 1.9 0.9426 0.9439 0.9451 0.9464 0.9476 0.9488 0.9500 0.9512 0.9523 0.9534 2.0 0.9545 0.9556 0.9566 0.9576 0.9586 0.9596 0.9606 0.9615 0.9625 0.9634 2.1 0.9643 0.9651 0.9660 0.9668 0.9676 0.9684 0.9692 0.9700 0.9707 0.9715 2.2 0.9722 0.9729 0.9736 0.9743 0.9749 0.9756 0.9762 0.9768 0.9774 0.9780 2.3 0.9786 0.9791 0.9797 0.9802 0.9807 0.9812 0.9817 0.9822 0.9827 0.9832 2.4 0.9836 0.9840 0.9845 0.9849 0.9853 0.9857 0.9861 0.9865 0.9869 0.9872 2.5 0.9876 0.9879 0.9883 0.9886 0.9889 0.9892 0.9895 0.9898 0.9901 0.9904 2.6 0.9907 0.9909 0.9912 0.9915 0.9917 0.9920 0.9922 0.9924 0.9926 0.9929 2.7 0.9931 0.9933 0.9935 0.9937 0.9939 0.9940 0.9942 0.9944 0.9946 0.9947 2.8 0.9949 0.9950 0.9952 0.9953 0.9955 0.9956 0.9958 0.9959 0.9960 0.9961 2.9 0.9963 0.9964 0.9965 0.9966 0.9967 0.9968 0.9969 0.9970 0.9971 0.9972 3.0 0.9973 0.9974 0.9975 0.9976 0.9976 0.9977 0.9978 0.9979 0.9979 0.9980

附表三、正态双侧临界值表

??1?α 0.0 0.1 0.2 0.3 0.4 0.5 0.6 0.7 0.8 0.9 ?2?5 1Z?2?Z?2e?2?dz2 6 7 8 9 α 0 ∞ 1 2 3 4 2.575829 2.326348 2.170090 2.053749 1.959964 1.880794 1.811911 1.750686 1.695398 0.0 1.644854 1.598193 1.554774 1.514102 1.475791 1.439531 1.405072 1.372204 1.340755 1.310579 0.1 1.281552 1.253565 1.226528 1.200359 1.174987 1.150349 1.126391 1.103063 1.080319 1.058122 0.2 1.036433 1.015222 0.994458 0.974114 0.954165 0.934589 0.915365 0.896473 0.877896 0.859617 0.3 0.841621 0.823894 0.806421 0.789192 0.772193 0.755415 0.738847 0.722479 0.706303 0.690309 0.4 0.674490 0.658838 0.643345 0.628006 0.612813 0.597760 0.582841 0.568051 0.553385 0.538836 0.5 0.524401 0.510073 0.495850 0.481727 0.467699 0.453762 0.439913 0.426148 0.412463 0.398855 0.6 0.385320 0.371856 0.358459 0.345125 0.331853 0.318639 0.305481 0.292375 0.279319 0.266311 0.7 0.253347 0.240426 0.227545 0.214702 0.201893 0.189113 0.176374 0.163658 0.150969 0.138304 0.8 0.125661 0.113039 0.100434 0.087845 0.075270 0.062707 0.050154 0.037608 0.025069 0.012533 0.9

附表四：t分布临界值表

单侧 双侧 自由度 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 40 50 60 70 80 90 100 125 150 200 ∞ 3.078 1.886 1.638 1.533 1.476 1.440 1.415 1.397 1.383 1.372 1.363 1.356 1.350 1.345 1.341 1.337 1.333 1.330 1.328 1.325 1.323 1.321 1.319 1.318 1.316 1.315 1.314 1.313 1.311 1.310 1.303 1.299 1.296 1.294 1.292 1.291 1.290 1.288 1.287 1.286 1.282 6.314 2.920 2.353 2.132 2.015 1.943 1.895 1.860 1.833 1.812 1.796 1.782 1.771 1.761 1.753 1.846 1.740 1.734 1.729 1.725 1.721 1.717 1.714 1.711 1.708 1.706 1.703 1.701 1.699 1.697 1.684 1.676 1.671 1.667 1.664 1.662 1.660 1.657 1.655 1.653 1.645 12.706 4.303 3.182 2.776 2.571 2.447 2.365 2.306 2.262 2.228 2.201 2.179 2.160 2.145 2.131 2.120 2.110 2.101 2.093 2.086 2.080 2.074 2.069 2.064 2.060 2.056 2.052 2.048 2.045 2.042 2.021 2.009 2.000 1.994 1.990 1.987 1.984 1.979 1.976 1.972 1.960 31.821 6.965 4.541 3.747 3.365 3.143 2.998 2.896 2.821 2.764 2.718 2.681 2.650 2.624 2.602 2.583 2.567 2.552 2.539 2.528 2.218 2.508 2.500 2.492 2.485 2.479 2.473 2.467 2.462 2.457 2.423 2.403 2.390 2.381 2.374 2.368 2.364 2.357 2.351 2.345 2.326 63.657 9.925 5.841 4.604 4.032 3.707 3.499 3.355 3.250 3.169 3.106 3.055 3.012 2.977 2.947 2.921 2.898 2.878 2.861 2.845 2.831 2.819 2.807 2.797 2.787 2.779 2.771 2.763 2.756 2.750 2.704 2.678 2.660 2.648 2.639 2.632 2.626 2.616 2.609 2.601 2.576 α=0.10 α=0.20 α=0.05 α=0.10 α=0.025 α=0.05 α=0.01 α=0.02 α=0.005 α=0.01

附表五：F分布临界值表（α=0.05）

P[F(?1??2)?F?(?1??2)]??

1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 30 40 60 120 ∞ 1 161 18.5 10.13 7.71 6.61 5.99 5.59 5.32 5.12 4.96 4.84 4.75 4.67 4.60 4.54 4.49 4.45 4.41 4.38 4.35 4.32 4.30 4.28 4.26 4.24 4.17 4.08 4.00 3.92 3.84 2 200 19.0 9.55 6.94 5.79 5.14 4.74 4.46 4.26 4.10 3.98 3.89 3.81 3.74 3.68 3.63 3.59 3.55 3.52 3.49 3.47 3.44 3.42 3.40 3.39 3.32 3.23 3.15 3.07 3.00 3 216 19.2 9.28 6.59 5.41 4.76 4.35 4.07 3.86 3.71 3.59 3.49 3.41 3.34 3.39 3.24 3.20 3.16 3.13 3.10 3.07 3.05 3.03 3.01 2.99 2.92 2.84 2.76 2.68 2.60 4 225 19.3 9.12 6.39 5.19 4.53 4.12 3.84 3.63 3.48 3.36 3.26 3.18 3.11 3.06 3.01 2.96 2.93 2.90 2.87 2.84 2.82 2.80 2.78 2.76 2.69 2.61 2.53 2.45 2.37 5 230 19.3 3.01 6.26 5.05 4.39 3.97 3.69 3.48 3.33 3.20 3.11 3.03 2.96 2.90 2.85 2.81 2.77 2.74 2.71 2.68 2.66 2.64 2.62 2.60 2.53 2.45 2.37 2.29 2.21 6 234 19.3 8.94 6.16 4.95 4.28 3.87 3.58 3.37 3.22 3.09 3.00 2.92 2.85 2.79 2.74 2.70 2.66 2.63 2.60 2.57 2.55 2.53 2.51 2.49 2.42 2.34 2.25 2.18 2.10 7 237 19.4 8.89 6.09 4.88 4.21 3.79 3.50 3.29 3.14 3.01 2.91 2.83 2.76 2.71 2.66 2.61 2.58 2.54 2.51 2.49 2.46 2.44 2.42 2.40 2.33 2.25 2.17 2.09 2.01 8 239 19.4 8.85 6.04 4.82 4.15 3.73 3.44 3.23 3.07 2.95 2.85 2.77 2.70 2.64 2.59 2.55 2.51 2.48 2.45 2.42 2.40 2.37 2.36 2.34 2.27 2.18 2.10 2.02 1.94 9 241 19.4 8.81 6.00 4.77 4.10 3.68 3.39 3.18 3.02 2.90 2.80 2.71 2.65 2.59 2.54 2.49 2.46 2.82 2.39 2.37 2.34 2.32 2.30 2.28 2.21 2.12 2.04 1.96 1.88 10 242 19.4 8.79 5.96 4.74 4.06 3.64 3.35 3.14 2.98 2.85 2.75 2.67 2.60 2.54 2.49 2.45 2.41 2.38 2.35 2.32 2.30 2.27 2.25 2.24 2.16 2.08 1.99 1.91 1.83 15 246 19.4 8.70 5.68 4.62 3.94 3.51 3.22 3.01 2.85 2.72 2.62 2.53 2.46 2.40 2.35 2.31 2.27 2.23 2.20 2.18 2.15 2.13 2.11 2.09 2.01 1.92 1.84 1.75 1.67 20 248 19.4 8.66 5.80 4.56 3.87 3.44 3.15 2.94 2.77 2.65 2.54 2.46 2.39 2.33 2.28 2.23 2.19 2.16 2.12 2.10 2.07 2.05 2.03 2.01 1.93 1.84 1.75 1.66 1.57 40 251 19.5 8.59 5.72 4.46 3.77 3.34 3.04 2.83 2.66 2.53 2.43 2.34 2.27 2.20 2.15 2.10 2.06 2.03 1.99 1.96 1.94 1.91 1.89 1.87 1.79 1.69 1.59 1.50 1.39 60 252 19.5 8.87 5.69 4.43 3.74 3.30 3.01 2.79 2.62 2.49 2.38 2.30 2.22 2.16 2.11 2.06 2.02 1.98 1.95 1.92 1.89 1.86 1.84 1.82 1.74 1.64 1.53 1.43 1.32 ∞ 254 19.5 8.53 5.63 4.37 3.67 3.23 2.93 2.71 2.54 2.40 2.30 2.21 2.13 2.17 2.01 1.96 1.92 1.88 1.84 1.81 1.78 1.76 1.73 1.71 1.62 1.51 1.39 1.25 1.00