标准正态表6 0.6757 0.8721 1.2373 1.6354 2.2041 3.4546 7.8408 10.6446 12.5916 14.4497 0.9893 1.2390 1.6899 2.1673 2.8331 4.2549 9.0371 12.0170 14.0671 16.0128 1.3444 1.6465 2.1797 2.7326 3.4895 5.0706 10.2189 13.3616 15.5073 17.5349 1.7349 2.0879 2.7004 3.3251 4.1682 5.8988 11.3888 14.6837 16.9190 19.02210 2.1559 2.5582 3.2470 3.9403 4.8652 6.7372 12.5489 15.9872 18.3070 20.48311 2.6032 3.0535 3.8157 4.5748 5.5778 7.5841 13.7007 17.2750 19.6751 21.92012 3.0738 3.5706 4.4038 5.2260 6.3038 8.4384 14.8454 18.5493 21.0261 23.33613 3.5650 4.1069 5.0088 5.8919 7.0415 9.2991 15.9839 19.8119 22.3620 24.73514 4.0747 4.6604 5.6287 6.5706 7.7895 10.1653 17.1169 21.0641 23.6848 26.11815 4.6009 5.2293 6.2621 7.2609 8.5468 11.0365 18.2451 22.3071 24.9958 27.48816 5.1422 5.8122 6.9077 7.9616 9.3122 11.9122 19.3689 23.5418 26.2962 28.84517 5.6972 6.4078 7.5642 8.6718 10.0852 12.7919 20.4887 24.7690 27.5871 30.19118 6.2648 7.0149 8.2307 9.3905 10.8649 13.6753 21.6049 25.9894 28.8693 31.52619 6.8440 7.6327 8.9065 10.1170 11.6509 14.5620 22.7178 27.2036 30.1435 32.85220 7.4338 8.2604 9.5908 10.8508 12.4426 15.4518 23.8277 28.4120 31.4104 34.16921 8.0337 8.8972 10.2829 11.5913 13.2396 16.3444 24.9348 29.6151 32.6706 35.47822 8.6427 9.5425 10.9823 12.3380 14.0415 17.2396 26.0393 30.8133 33.9244 36.78023 9.2604 10.1957 11.6886 13.0905 14.8480 18.1373 27.1413 32.0069 35.1725 38.07524 9.8862 10.8564 12.4012 13.8484 15.6587 19.0373 28.2412 33.1962 36.4150 39.36425 10.5197 11.5240 13.1197 14.6114 16.4734 19.9393 29.3389 34.3816 37.6525 40.64626 11.1602 12.1981 13.8439 15.3792 17.2919 20.8434 30.4346 35.5632 38.8851 41.92327 11.8076 12.8785 14.5734 16.1514 18.1139 21.7494 31.5284 36.7412 40.1133 43.19428 12.4613 13.5647 15.3079 16.9279 18.9392 22.6572 32.6205 37.9159 41.3371 44.46030 13.7867 14.9535 16.7908 18.4927 20.5992 24.4776 34.7997 40.2560 43.7730 46.97931 14.4578 15.6555 17.5387 19.2806 21.4336 25.3901 35.8871 41.4217 44.9853 48.23132 15.1340 16.3622 18.2908 20.0719 22.2706 26.3041 36.9730 42.5847 46.1943 49.48033 15.8153 17.0735 19.0467 20.8665 23.1102 27.2194 38.0575 43.7452 47.3999 50.72534 16.5013 17.7891 19.8063 21.6643 23.9523 28.1361 39.1408 44.9032 48.6024 51.96635 17.1918 18.5089 20.5694 22.4650 24.7967 29.0540 40.2228 46.0588 49.8018 53.20336 17.8867 19.2327 21.3359 23.2686 25.6433 29.9730 41.3036 47.2122 50.9985 54.43737 18.5858 19.9602 22.1056 24.0749 26.4921 30.8933 42.3833 48.3634 52.1923 55.66838 19.2889 20.6914 22.8785 24.8839 27.3430 31.8146 43.4619 49.5126 53.3835 56.89539 19.9959 21.4262 23.6543 25.6954 28.1958 32.7369 44.5395 50.6598 54.5722 58.12040 20.7065 22.1643 24.4330 26.5093 29.0505 33.6603 45.6160 51.8051 55.7585 59.34141 21.4208 22.9056 25.2145 27.3256 29.9071 34.5846 46.6916 52.9485 56.9424 60.56042 22.1385 23.6501 25.9987 28.1440 30.7654 35.5099 47.7663 54.0902 58.1240 61.77643 22.8595 24.3976 26.7854 28.9647 31.6255 36.4361 48.8400 55.2302 59.3035 62.99044 23.5837 25.1480 27.5746 29.7875 32.4871 37.3631 49.9129 56.3685 60.4809 64.20145 24.3110 25.9013 28.3662 30.6123 33.3504 38.2910 50.9849 57.5053 61.6562 65.410T分布30.7649 0.97851.24981.63772.35343.18244.54075.8409 7.4533 10.2145 12.924040.7407 0.9411.18961.53322.13182.77643.74694.60415.5976 7.1732 8.610350.7267 0.91951.15581.47592.0152.57063.36494.0321 4.77335.89346.868860.7176 0.90571.13421.43981.94322.44693.1427 3.70744.31685.2076 5.958870.7111 0.8961.11921.41491.89462.3646 2.99803.49954.0293 4.78535.407980.7064 0.88891.10811.39681.85952.3060 2.89653.3554 3.83254.50085.041390.7027 0.88341.09971.3831.83312.2622 2.82143.2498 3.68974.2968 4.7809100.6998 0.87911.09311.37221.81252.2281 2.76383.1693 3.58144.1437 4.5869110.6974 0.87551.08771.36341.79592.2010 2.71813.1058 3.49664.0247 4.4370120.6955 0.87261.08321.35621.78232.1788 2.68103.0545 3.4284 3.92964.3178130.6938 0.87021.07951.35021.77092.1604 2.65033.0123 3.3725 3.85204.220814 0.6920.868 1.076 1.345 1.7612.1448 2.6245 2.97683.3257 3.78744.1405150.6912 0.86621.07351.34061.75312.1314 2.6025 2.94673.2860 3.73284.0728160.6901 0.86471.07111.33681.74592.1199 2.5835 2.92083.2520 3.68624.0150170.6892 0.86331.0691.33341.73962.1098 2.5669 2.89823.2224 3.6458 3.9651180.6884 0.8621.06721.33041.73412.1009 2.5524 2.87843.1966 3.6105 3.9216190.6876 0.8611.06551.32771.72912.0930 2.5395 2.86093.1737 3.5794 3.8834200.6870 0.8601.0641.32531.72472.0860 2.5280 2.84533.1534 3.5518 3.8495210.6864 0.85911.06271.32321.72072.0796 2.5176 2.83143.1352 3.5272 3.8193220.6858 0.85831.06141.32121.71712.0739 2.5083 2.81883.1188 3.5050 3.7921230.6853 0.85751.06031.31951.71392.0687 2.4999 2.80733.1040 3.4850 3.7676240.6848 0.85691.05931.31781.71092.0639 2.4922 2.79693.0905 3.4668 3.7454250.6844 0.85621.05841.31631.70812.0595 2.4851 2.78743.0782 3.4502 3.725126 0.6840.855 1.057 1.315 1.7052.0555 2.4786 2.77873.0669 3.4350 3.7066277 1 7 7 32.0518 2.4727 2.77073.0565 3.4210 3.6896280.6834 0.85461.0561.31251.70112.0484 2.4671 2.76333.0469 3.4082 3.6739290.6830 0.85421.05531.31141.69912.0452 2.4620 2.75643.0380 3.3962 3.6594300.6828 0.85381.05471.31041.69732.0423 2.4573 2.75003.0298 3.3852 3.6460310.6825 0.85341.05411.30951.69552.0395 2.4528 2.74403.0221 3.3749 3.6335320.6822 0.8531.05351.30861.69392.0369 2.4487 2.73853.0149 3.3653 3.6218330.6820 0.85261.0531.30771.69242.0345 2.4448 2.73333.0082 3.3563 3.6109340.6818 0.85231.05251.3071.69092.0322 2.4411 2.72843.0020 3.3479 3.6007350.6816 0.8521.0521.30621.68962.0301 2.4377 2.7238 2.99603.3400 3.5911360.6814 0.85171.05161.30551.68832.0281 2.4345 2.7195 2.99053.3326 3.5821370.6812 0.85141.05121.30491.68712.0262 2.4314 2.7154 2.98523.3256 3.573738 0.6810.851 1.050 1.304 1.6862.0244 2.4286 2.7116 2.98033.3190 3.5657398 9 4 6 92.0227 2.4258 2.7079 2.97563.3128 3.5581400.6807 0.85071.0501.30311.68392.0211 2.4233 2.7045 2.97123.3069 3.5510410.6805 0.85051.04971.30251.68292.0195 2.4208 2.7012 2.96703.3013 3.5442420.6804 0.85031.04941.3021.6822.0181 2.4185 2.6981 2.96303.2960 3.5377430.6802 0.85011.04911.30161.68112.0167 2.4163 2.6951 2.95923.2909 3.5316440.6801 0.84991.04881.30111.68022.0154 2.4141 2.6923 2.95553.2861 3.5258450.6800 0.84971.04851.30061.67942.0141 2.4121 2.6896 2.95213.2815 3.5203460.6799 0.84951.04831.30021.67872.0129 2.4102 2.6870 2.94883.2771 3.5150470.6797 0.84931.0481.29981.67792.0117 2.4083 2.6846 2.94563.2729 3.5099480.6796 0.84921.04781.29941.67722.0106 2.4066 2.6822 2.94263.2689 3.5051490.6795 0.8491.04751.29911.67662.0096 2.4049 2.6800 2.93973.2651 3.500450 0.6790.848 1.047 1.298 1.6752.0086 2.4033 2.6778 2.93703.2614 3.4960513 7 14 32.0076 2.4017 2.6757 2.93433.2579 3.4918520.6792 0.84861.04691.2981.67472.0066 2.4002 2.6737 2.93183.2545 3.4877530.6791 0.84851.04671.29771.67412.0057 2.3988 2.6718 2.92933.2513 3.4838540.6791 0.84831.04651.29741.67362.0049 2.3974 2.6700 2.92703.2481 3.4800550.6790 0.84821.04631.29711.6732.0040 2.3961 2.6682 2.92473.2451 3.4764560.6789 0.84811.04611.29691.67252.0032 2.3948 2.6665 2.92253.2423 3.4729570.6788 0.8481.04591.29661.6722.0025 2.3936 2.6649 2.92043.2395 3.4696580.6787 0.84791.04581.29631.67162.0017 2.3924 2.6633 2.91843.2368 3.4663590.6787 0.84781.04561.29611.67112.0010 2.3912 2.6618 2.91643.2342 3.4632600.6786 0.84771.04551.29581.67062.0003 2.3901 2.6603 2.91463.2317 3.4602610.6785 0.84761.04531.29561.67021.99962.3890 2.6589 2.91273.2293 3.457362 0.6780.847 1.045 1.295 1.6691.99902.3880 2.6575 2.91103.2270 3.4545634 4 0 1 41.99832.3870 2.6561 2.90933.2247 3.4518640.6783 0.84731.04491.29491.6691.99772.3860 2.6549 2.90763.2225 3.4491650.6783 0.84721.04481.29471.66861.99712.3851 2.6536 2.90603.2204 3.4466660.6782 0.84711.04461.29451.66831.99662.3842 2.6524 2.90453.2184 3.4441670.6782 0.8471.04451.29431.66791.99602.3833 2.6512 2.90303.2164 3.4417680.6781 0.84691.04441.29411.66761.99552.3824 2.6501 2.90153.2145 3.4394690.6781 0.84691.04431.29391.66721.99492.3816 2.6490 2.90013.2126 3.4372700.6780 0.84681.04421.29381.66691.99442.3808 2.6479 2.89873.2108 3.4350710.6780 0.84671.04411.29361.66661.99392.3800 2.6469 2.89743.2090 3.4329720.6779 0.84661.0441.29341.66631.99352.3793 2.6459 2.89613.2073 3.4308730.6779 0.84661.04381.29331.6661.99302.3785 2.6449 2.89493.2057 3.428974 0.6770.846 1.043 1.293 1.6651.99252.3778 2.6439 2.89363.2041 3.4269758 4 6 9 41.99212.3771 2.6430 2.89243.2025 3.4250760.6777 0.84641.04361.29281.66521.99172.3764 2.6421 2.89133.2010 3.4232770.6777 0.84631.04351.29261.66491.99132.3758 2.6412 2.89023.1995 3.4214780.6776 0.84631.04341.29251.66461.99082.3751 2.6403 2.88913.1980 3.4197790.6776 0.84621.04331.29241.66441.99052.3745 2.6395 2.88803.1966 3.4180800.6776 0.84611.04321.29221.66411.99012.3739 2.6387 2.88703.1953 3.4163810.6775 0.84611.04311.29211.66391.98972.3733 2.6379 2.88603.1939 3.4147820.6775 0.8461.0431.2921.66361.98932.3727 2.6371 2.88503.1926 3.4132830.6775 0.8461.04291.29181.66341.98902.3721 2.6364 2.88403.1913 3.4116840.6774 0.84591.04291.29171.66321.98862.3716 2.6356 2.88313.1901 3.4102850.6774 0.84591.04281.29161.6631.98832.3710 2.6349 2.88223.1889 3.408786 0.6770.845 1.042 1.291 1.6621.98792.3705 2.6342 2.88133.1877 3.4073873 8 64 61.98762.3700 2.6335 2.88043.1866 3.4059880.6773 0.84571.04261.29121.66241.98732.3695 2.6329 2.87953.1854 3.4045890.6773 0.84571.04251.29111.66221.98702.3690 2.6322 2.87873.1843 3.4032900.6772 0.84561.04241.2911.6621.98672.3685 2.6316 2.87793.1833 3.401910 0 0.6770.84521.04181.29011.66021.98402.3642 2.6259 2.87073.1737 3.390512 0 0.67650.84461.04091.28861.65771.97992.3578 2.6174 2.85993.1595 3.3735F分布P=0.904 4.54 4.32 4.19 4.11 4.05 3.98 3.95 3.94 3.87 3.84 3.825 4.06 3.78 3.62 3.52 3.45 3.37 3.34 3.32 3.24 3.21 3.176 3.78 3.46 3.29 3.18 3.11 3.01 2.98 2.96 2.87 2.84 2.807 3.59 3.26 3.07 2.96 2.88 2.78 2.75 2.72 2.63 2.59 2.568 3.46 3.11 2.92 2.81 2.73 2.62 2.59 2.56 2.46 2.42 2.389 3.36 3.01 2.81 2.69 2.61 2.51 2.47 2.44 2.34 2.30 2.2513.29 2.92 2.73 2.61 2.52 2.41 2.38 2.35 2.24 2.20 2.16 013.23 2.86 2.66 2.54 2.45 2.34 2.30 2.27 2.17 2.12 2.08 113.18 2.81 2.61 2.48 2.39 2.28 2.24 2.21 2.10 2.06 2.01 213.14 2.76 2.56 2.43 2.35 2.23 2.20 2.16 2.05 2.01 1.96 313.10 2.73 2.52 2.39 2.31 2.19 2.15 2.12 2.01 1.96 1.91 413.07 2.70 2.49 2.36 2.27 2.16 2.12 2.09 1.97 1.92 1.87 513.05 2.67 2.46 2.33 2.24 2.13 2.09 2.06 1.94 1.89 1.84 613.03 2.64 2.44 2.31 2.22 2.10 2.06 2.03 1.91 1.86 1.81 713.01 2.62 2.42 2.29 2.20 2.08 2.04 2.00 1.89 1.84 1.7819 2.99 2.61 2.402.272.182.062.021.981.861.811.7620 2.97 2.59 2.382.252.162.042.001.961.841.791.7421 2.96 2.57 2.362.232.142.021.981.951.831.781.7222 2.95 2.56 2.352.222.132.011.971.931.811.761.7024 2.93 2.54 2.332.192.101.981.941.911.781.731.6726 2.91 2.52 2.312.172.081.961.921.881.761.711.6528 2.89 2.50 2.292.162.061.941.901.871.741.691.6332.88 2.49 2.282.142.051.931.881.851.721.671.61P= 0.993 34.1230.82 29.4628.7128.2427.6727.4927.3527.0526.9226.8326.7526.694 21.2018.00 16.6915.9815.5214.9814.8014.6614.3714.2514.1514.0814.025 16.2613.27 12.0611.3910.9710.4610.2910.169.89 9.77 9.68 9.619.556 13.7510.92 9.78 9.15 8.75 8.26 8.10 7.98 7.72 7.60 7.52 7.457.47 12.25 9.55 8.45 7.85 7.46 6.99 6.84 6.72 6.47 6.36 6.28 6.216.16 8 11.26 8.65 7.59 7.01 6.63 6.18 6.03 5.91 5.67 5.56 5.48 5.415.36 9 10.56 8.02 6.99 6.42 6.06 5.61 5.47 5.35 5.11 5.01 4.92 4.864.81 10 10.04 7.56 6.55 5.99 5.64 5.20 5.06 4.94 4.71 4.60 4.52 4.464.41 11 9.65 7.21 6.22 5.67 5.32 4.89 4.74 4.63 4.40 4.29 4.21 4.154.10 12 9.33 6.93 5.95 5.41 5.06 4.64 4.50 4.39 4.16 4.05 3.97 3.913.86 13 9.07 6.70 5.74 5.21 4.86 4.44 4.30 4.19 3.96 3.86 3.78 3.723.66 14 8.86 6.51 5.56 5.04 4.69 4.28 4.14 4.03 3.80 3.70 3.62 3.563.573.2 16 8.53 6.23 5.294.77 4.44 4.03 3.89 3.78 3.55 3.45 3.37 3.3163.1 17 8.40 6.11 5.184.67 4.34 3.93 3.79 3.68 3.46 3.35 3.27 3.2163.0 18 8.29 6.01 5.094.58 4.25 3.84 3.71 3.60 3.37 3.27 3.19 3.1383.0 19 8.18 5.93 5.014.50 4.17 3.77 3.63 3.52 3.30 3.19 3.12 3.052.9 20 8.10 5.85 4.94 4.43 4.103.70 3.56 3.46 3.23 3.13 3.05 2.9942.8 21 8.02 5.78 4.87 4.37 4.043.64 3.51 3.40 3.17 3.07 2.99 2.9382.8 22 7.95 5.72 4.82 4.313.99 3.59 3.45 3.35 3.12 3.02 2.94 2.8832.7 23 7.88 5.66 4.76 4.263.94 3.54 3.41 3.30 3.07 2.97 2.89 2.8382.7 24 7.82 5.61 4.72 4.223.90 3.50 3.36 3.26 3.03 2.93 2.85 2.7942.7 25 7.77 5.57 4.68 4.183.85 3.46 3.32 3.22 2.99 2.89 2.81 2.752.6 26 7.72 5.53 4.64 4.143.82 3.42 3.29 3.18 2.96 2.86 2.78 2.7232.6 28 7.64 5.45 4.57 4.073.75 3.36 3.23 3.12 2.90 2.79 2.72 2.652.5 29 7.60 5.42 4.54 4.043.73 3.33 3.20 3.09 2.87 2.77 2.69 2.6372.5 30 7.56 5.39 4.51 4.023.70 3.30 3.17 3.07 2.84 2.74 2.66 2.605Excel公式1.正态分布函数Excel计算正态分布时，使用NORMDIST函数，其格式如下：NORMDIST（a，μ，σ，累积）其中，“累积”：若为TRUE，则输出分布函数值，即P{X≤a}；若为FALSE，则为概率密度函数值．示例：已知X服从正态分布，μ＝600，σ＝100，求P{X≤500}．输入公式NORMDIST(500, 600, 100, TRUE)得到的结果为0.158655，即P{X≤500}=0.158655．2、正态分布函数的反函数Excel计算正态分布函数的反函数使用NORMINV函数，格式如下：NORMINV（p，μ ，σ ），此公式计算a，使P{X ≤a}=p3标准正态分布反函数=NORMSINV(0.975)3、t分布Excel计算t分布的值,采用TDIST函数，格式如下：TDIST（a，自由度，侧数）其中，“侧数”：指明分布为单侧或双侧：若为1，为单侧；此命令输出P{ T >a }若为2，为双侧．此命令输出P{ |T| >a}示例：设T服从自由度为24的t分布，求P(T>1.711)．已知t＝1.711，df=24，采用单侧，则T分布的值：TDIST(1.711,24,1)得到0.05，即P(T > 1.711)=0.05．4. t分布的反函数Excel使用TINV函数得到t分布的反函数，格式如下：TINV（α，自由度）输出T 分布的α / 2 分位点：t_α/2_(n)若求临界值tα(n)，则使用公式＝TINV(2*α, n)5.返回F分布的函数是FDIST函数FDIST 的计算公式为FDIST=P( F>x )，5.F分布的反函数FINV(probability,deg_freedom1,deg_freedom2)已知probability=P( F>x )，求x。