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附 表附表1. 标准正态分布表x0.000.010.020.030.040.050.060.070.080.090.00.10.20.30.40.50.60.70.80.91.01.11.21.31.41.51.61.71.81.92.02.12.22.32.42.52.62.72.82.90.500 00.539 80.579 30.617 90.655 40.691 50.725 70.758 00.788 10.815 90.841 30.864 30.884 90.903 20.919 20.933 20.945 20.955 40.964 10.971 30.977 20.982 10.986 10.989 30.991 80.993 80.995 30.996 50.997 40.998 10.504 00.543 80.583 20.621 70.659 10.695 00.729 10.761 10.791 00.818 60.843 80.866 50.886 90.904 90.920 70.934 50.946 30.956 40.964 80.971 90.977 80.982 60.986 40.989 60.992 00.994 00.995 50.996 60.997 50.998 20.508 00.547 80.587 10.625 50.662 80.698 50.732 40.764 20.793 90.821 20.846 10.868 60.888 80.906 60.922 20.935 70.947 40.957 30.965 60.972 60.978 30.983 00.986 80.989 80.992 20.994 10.995 60.996 70.997 60.998 20.512 00.551 70.591 00.629 30.666 40.701 90.735 70.767 30.796 70.823 80.848 50.870 80.890 70.908 20.923 60.937 00.948 40.958 20.966 40.973 20.978 80.983 40.987 10.990 10.992 50.994 30.995 70.996 80.997 70.998 30.516 00.555 70.594 80.633 10.670 00.705 40.738 90.770 30.799 50.826 40.850 80.872 90.892 50.909 90.925 10.938 20.949 50.959 10.967 20.973 80.979 30.983 80.987 40.990 40.992 70.994 50.995 90.996 90.997 70.998 40.519 90.559 60.598 70.636 80.673 60.708 80.742 20.773 40.802 30.828 90.853 10.874 90.894 40.911 50.926 50.939 40.950 50.959 90.967 80.974 40.979 80.984 20.987 80.990 60.992 90.994 60.996 00.997 00.997 80.998 40.523 90.563 60.602 60.640 40.677 20.712 30.745 40.776 40.805 10.835 50.855 40.877 00.896 20.913 10.927 90.940 60.951 50.960 80.968 60.975 00.980 30.984 60.988 10.990 90.993 10.994 80.996 10.997 10.997 90.998 50.527 90.567 50.606 40.644 30.680 80.715 70.748 60.779 40.807 80.834 00.857 70.879 00.898 00.914 70.929 20.941 80.952 50.961 60.969 30.975 60.980 80.985 00.988 40.991 10.993 20.994 90.996 20.997 20.997 90.998 50.531 90.571 40.610 30.648 00.684 40.719 00.751 70.782 30.810 60.836 50.859 90.881 00.899 70.916 20.930 60.943 00.953 50.962 50.970 00.976 20.981 20.985 40.988 70.991 30.993 40.995 10.996 30.997 30.998 00.998 60.535 90.575 30.614 10.651 70.687 90.722 40.754 90.785 20.813 30.838 90.862 10.883 00.901 50.917 70.931 90.944 10.953 50.963 30.970 60.976 70.981 70.985 70.989 00.991 60.993 60.995 20.996 40.997 40.998 10.998 6x0.00.10.20.30.40.50.60.70.80.930.998 70.999 00.999 30.999 50.999 70.999 80.999 80.999 90.999 91.000 0F分布临界值表=0.005Fk1k21234568 122412345 678910 1112131415 1617181920 2122232425 2627282930406012016211198.555.5531.3322.78 18.6316.2414.6913.6112.83 12.2311.7511.3711.0610.80 10.5810.3810.2210.079.94 9.839.739.639.559.48 9.419.349.289.239.188.838.498.1820000199.049.8026.2818.31 14.4512.4011.0410.119.43 8.918.518.197.927.70 7.517.357.217.096.99 6.896.816.736.666.60 6.546.496.446.406.356.075.795.5421615199.247.4724.2616.53 12.9210.889.608.728.08 7.607.236.936.686.48 6.306.166.035.925.82 5.735.655.585.525.46 5.415.365.325.285.244.984.734.5022500199.246.1923.1515.56 12.0310.058.817.967.34 6.886.526.236.005.80 5.645.505.375.275.17 5.095.024.954.894.84 4.794.744.704.664.624.374.143.9223056199.345.3922.4614.94 11.469.528.307.476.87 6.426.075.795.565.37 5.215.074.964.854.76 4.684.614.544.494.43 4.384.344.304.264.233.993.763.5523437199.344.8421.9714.51 11.079.167.957.136.54 6.105.765.485.265.07 4.914.784.664.564.47 4.394.324.264.204.15 4.104.064.023.983.953.713.493.2823925199.444.1321.3513.96 10.578.687.506.696.12 5.685.355.084.864.67 4.524.394.284.184.09 4.013.943.883.833.78 3.733.693.653.613.583.353.132.9324426199.443.3920.7013.38 10.038.187.016.235.66 5.244.914.644.434.25 4.103.973.863.763.68 3.603.543.473.423.37 3.333.283.253.213.182.952.742.5424940199.542.6220.0312.78 9.477.656.505.735.17 4.764.434.173.963.79 3.643.513.403.313.22 3.153.083.022.972.92 2.872.832.792.762.732.502.292.0925465199.541.8319.3212.14 8.887.085.955.194.64 4.233.903.653.443.26 3.112.982.872.782.69 2.612.552.482.432.38 2.332.292.252.212.181.931.691.43=0.01 Fk1k2 1234568122412345 678910 1112131415 1617181920 2122232425 2627282930 4060120405298.4934.1221.2016.26 13.7412.2511.2610.5610.04 9.659.339.078.868.68 8.538.408.288.188.10 8.027.947.887.827.77 7.727.687.647.607.56 7.317.086.856.64499999.0130.8118.0013.27 10.929.558.658.027.56 7.206.936.706.516.36 6.236.116.015.935.85 5.785.725.665.615.57 5.535.495.455.425.39 5.184.984.794.60540399.1729.4616.6912.06 9.788.457.596.996.55 6.225.955.745.565.42 5.295.185.095.014.94 4.874.824.764.724.68 4.644.604.574.544.51 4.314.133.953.78562599.2528.7115.9811.39 9.157.857.016.425.99 5.675.415.205.034.89 4.774.674.584.504.43 4.374.314.264.224.18 4.144.114.074.044.02 3.833.653.483.32576499.3028.2415.5210.97 8.757.466.636.065.64 5.325.064.864.694.56 4.444.344.254.174.10 4.043.993.943.903.86 3.823.783.753.733.70 3.513.343.173.02585999.3327.9115.2110.67 8.477.196.375.805.39 5.074.824.624.464.32 4.204.104.013.943.87 3.813.763.713.673.63 3.593.563.533.503.47 3.293.122.962.80598199.3627.4914.8010.29 8.106.846.035.475.06 4.744.504.304.144.00 3.893.793.713.633.56 3.513.453.413.363.32 3.293.263.233.203.17 2.992.822.662.51610699.4227.0514.379.89 7.726.475.675.114.71 4.404.163.963.803.67 3.553.453.373.303.23 3.173.123.073.032.99 2.962.932.902.872.84 2.662.502.342.18623499.4626.6013.939.47 7.316.075.284.734.33 4.023.783.593.433.29 3.183.083.002.922.86 2.802.752.702.662.62 2.582.552.522.492.47 2.292.121.951.79636699.5026.1213.469.02 6.885.654.864.313.91 3.603.363.163.002.87 2.752.652.572.492.42 2.362.312.262.212.17 2.132.102.062.032.01 1.801.601.381.00=0.025Fk1k212345 68122412345 6789101112131415 1617181920 2122232425 2627282930 4060120647.838.5117.4412.2210.01 8.818.077.577.216.946.726.556.416.306.20 6.126.045.985.925.87 5.835.795.755.725.69 5.665.635.615.595.57 5.425.295.155.02799.539.0016.0410.658.43 7.266.546.065.715.465.265.104.974.864.77 4.694.624.564.514.46 4.424.384.354.324.29 4.274.244.224.204.18 4.053.933.803.69864.239.1715.449.987.76 6.605.895.425.084.834.634.474.354.244.15 4.084.013.953.903.86 3.823.783.753.723.69 3.673.653.633.613.59 3.463.343.233.12899.639.2515.109.607.39 6.235.525.054.724.474.284.124.003.893.80 3.733.663.613.563.51 3.483.443.413.383.35 3.333.313.293.273.25 3.133.012.892.79921.839.3014.889.367.15 5.995.294.824.484.244.043.893.773.663.58 3.503.443.383.333.29 3.253.223.183.153.13 3.103.083.063.043.03 2.902.792.672.57937.139.3314.739.206.98 5.825.124.654.324.073.883.733.603.503.41 3.343.283.223.173.13 3.093.053.022.992.97 2.942.922.902.882.87 2.742.632.522.41956.739.3714.548.986.76 5.604.904.434.103.853.663.513.393.293.20 3.123.063.012.962.91 2.872.842.812.782.75 2.732.712.692.672.65 2.532.412.302.19976.739.4114.348.756.52 5.374.674.203.873.623.433.283.153.052.96 2.892.822.772.722.68 2.642.602.572.542.51 2.492.472.452.432.41 2.292.172.051.94 997.239.4614.128.516.28 5.124.423.953.613.373.173.022.892.792.70 2.632.562.502.452.41 2.372.332.302.272.24 2.222.192.172.152.14 2.011.881.761.64101839.5013.908.266.02 4.854.143.673.333.082.882.722.602.492.40 2.322.252.192.132.09 2.042.001.971.941.91 1.881.851.831.811.79 1.641.481.311.00=0.05Fk1 k21234568122412345678 910 1112131415 16171819202122232425 2627282930 4060120161.418.5110.137.716.61 5.995.595.325.124.96 4.844.754.674.604.54 4.494.454.414.384.354.324.304.284.264.24 4.224.214.204.184.17 4.084.003.923.84199.519.009.556.945.79 5.144.744.464.264.10 3.983.883.803.743.68 3.633.593.553.523.493.473.443.423.403.38 3.373.353.343.333.32 3.233.153.072.99215.719.169.286.595.41 4.764.354.073.863.71 3.593.493.413.343.29 3.243.203.163.133.103.073.053.033.012.99 2.982.962.952.932.92 2.842.762.682.60224.619.259.126.395.19 4.534.123.843.633.48 3.363.263.183.113.06 3.012.962.932.902.872.842.822.802.782.76 2.742.732.712.702.69 2.612.522.452.37230.219.309.016.265.05 4.393.973.693.483.33 3.203.113.022.962.90 2.852.812.772.742.712.682.662.642.622.60 2.592.572.562.542.53 2.452.372.292.21234.019.338.946.164.95 4.283.873.583.373.22 3.093.002.922.852.79 2.742.702.662.632.602.572.552.532.512.49 2.472.462.442.432.42 2.342.252.172.09238.919.378.846.044.82 4.153.733.443.233.07 2.952.852.772.702.64 2.592.552.512.482.452.422.402.382.362.34 2.322.302.292.282.27 2.182.102.021.94243.919.418.745.914.68 4.003.573.283.072.91 2.792.692.602.532.48 2.422.382.342.312.282.252.232.202.182.16 2.152.132.122.102.09 2.001.921.831.75249.019.458.645.774.53 3.843.413.122.902.74 2.612.502.422.352.29 2.242.192.152.112.082.052.032.001.981.96 1.951.931.911.901.89 1.791.701.611.52254.319.508.535.634.36 3.673.232.932.712.54 2.402.302.212.132.07 2.011.961.921.881.841.811.781.761.731.71 1.691.671.651.641.62 1.511.391.251.00=0.10Fk1k21234568122412345 678910 1112131415 1617181920 2122232425 2627282930 406012039.868.535.544.544.06 3.783.593.463.363.29 3.233.183.143.103.07 3.053.033.012.992.97 2.962.952.942.932.92 2.912.902.892.892.88 2.842.792.752.7149.509.005.464.323.78 3.463.263.113.012.92 2.862.812.762.732.70 2.672.642.622.612.59 2.572.562.552.542.53 2.522.512.502.502.49 2.442.392.352.3053.599.165.364.193.62 3.293.072.922.812.73 2.662.612.562.522.49 2.462.442.422.402.38 2.362.352.342.332.32 2.312.302.292.282.28 2.232.182.132.0855.839.245.324.113.52 3.182.962.812.692.61 2.542.482.432.392.36 2.332.312.292.272.25 2.232.222.212.192.18 2.172.172.162.152.14 2.092.041.991.9457.249.295.314.053.45 3.112.882.732.612.52 2.452.392.352.312.27 2.242.222.202.182.16 2.142.132.112.102.09 2.082.072.062.062.05 2.001.951.901.8558.209.335.284.013.40 3.052.832.672.552.46 2.392.332.282.242.21 2.182.152.132.112.09 2.082.062.052.042.02 2.012.002.001.991.98 1.931.871.821.1759.449.375.253.953.34 2.982.752.592.472.38 2.302.242.202.152.12 2.092.062.042.022.00 1.981.971.951.941.93 1.921.911.901.891.88 1.831.771.721.6760.719.415.223.903.27 2.902.672.502.382.28 2.212.152.102.052.02 1.991.961.931.911.89 1.871.861.841.831.82 1.811.801.791.781.77 1.711.661.601.5562.009.455.183.833.19 2.822.582.402.282.18 2.102.041.981.941.90 1.871.841.811.791.77 1.751.731.721.701.69 1.681.671.661.651.64 1.571.511.451.3863.339.495.133.763.10 2.722.472.292.162.06 1.971.901.851.801.76 1.721.691.661.631.61 1.591.571.551.531.52 1.501.491.481.471.46 1.381.291.191.00T分布表t分布表0.10.050.0250.010.0050.0010.0005单尾df0.20.10.050.020.010.0020.001双尾13.078 6.314 12.706 31.821 63.657 318.309 636.619 21.886 2.920 4.303 6.965 9.925 22.327 31.599 31.638 2.353 3.182 4.541 5.841 10.215 12.924 41.533 2.132 2.776 3.747 4.604 7.173 8.610 51.476 2.015 2.571 3.365 4.032 5.893 6.869 61.440 1.943 2.447 3.143 3.707 5.208 5.959 71.415 1.895 2.365 2.998 3.499 4.785 5.408 81.397 1.860 2.306 2.896 3.355 4.501 5.041 91.383 1.833 2.262 2.821 3.250 4.297 4.781 101.372 1.812 2.228 2.764 3.169 4.144 4.587 111.363 1.796 2.201 2.718 3.106 4.025 4.437 121.356 1.782 2.179 2.681 3.055 3.930 4.318 131.350 1.771 2.160 2.650 3.012 3.852 4.221 141.345 1.761 2.145 2.624 2.977 3.787 4.140 151.341 1.753 2.131 2.602 2.947 3.733 4.073 161.337 1.746 2.120 2.583 2.921 3.686 4.015 171.333 1.740 2.110 2.567 2.898 3.646 3.965 181.330 1.734 2.101 2.552 2.878 3.610 3.922 191.328 1.729 2.093 2.539 2.861 3.579 3.883 201.325 1.725 2.086 2.528 2.845 3.552 3.850 211.323 1.721 2.080 2.518 2.831 3.527 3.819 221.321 1.717 2.074 2.508 2.819 3.505 3.792 231.319 1.714 2.069 2.500 2.807 3.485 3.768 241.318 1.711 2.064 2.492 2.797 3.467 3.745 251.316 1.708 2.060 2.485 2.787 3.450 3.725 261.315 1.706 2.056 2.479 2.779 3.435 3.707 271.314 1.703 2.052 2.473 2.771 3.421 3.690 281.313 1.701 2.048 2.467 2.763 3.408 3.674 291.311 1.699 2.045 2.462 2.756 3.396 3.659 301.310 1.697 2.042 2.457 2.750 3.385 3.646 311.309 1.696 2.040 2.453 2.744 3.375 3.633 321.309 1.694 2.037 2.449 2.738 3.365 3.622 331.308 1.692 2.035 2.445 2.733 3.356 3.611 341.307 1.691 2.032 2.441 2.728 3.348 3.601 351.306 1.690 2.030 2.438 2.724 3.340 3.591 361.306 1.688 2.028 2.434 2.719 3.333 3.582 371.305 1.687 2.026 2.431 2.715 3.326 3
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