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Two-sided | One-sided | Cum-dist. |
0.00 | 1.0000 | .5000 | .5000 |
0.05 | .9601 | .4801 | .5199 |
0.10 | .9203 | .4602 | .5398 |
0.15 | .8808 | .4404 | .5596 |
0.20 | .8415 | .4207 | .5793 |
0.25 | .8026 | .4013 | .5987 |
0.30 | .7642 | .3821 | .6179 |
0.35 | .7263 | .3632 | .6368 |
0.40 | .6892 | .3446 | .6554 |
0.45 | .6527 | .3264 | .6736 |
0.50 | .6171 | .3085 | .6915 |
0.55 | .5823 | .2912 | .7088 |
0.60 | .5485 | .2743 | .7257 |
0.65 | .5157 | .2578 | .7422 |
0.70 | .4839 | .2420 | .7580 |
0.75 | .4533 | .2266 | .7734 |
0.80 | .4237 | .2119 | .7881 |
0.85 | .3953 | .1977 | .8023 |
0.90 | .3681 | .1841 | .8159 |
0.95 | .3421 | .1711 | .8289 |
1.00 | .3173 | .1587 | .8413 |
1.01 | .3125 | .1562 | .8438 |
1.02 | .3077 | .1539 | .8461 |
1.03 | .3030 | .1515 | .8485 |
1.04 | .2983 | .1492 | .8508 |
1.05 | .2937 | .1469 | .8531 |
1.06 | .2891 | .1446 | .8554 |
1.07 | .2846 | .1423 | .8577 |
1.08 | .2801 | .1401 | .8599 |
1.09 | .2757 | .1379 | .8621 |
1.10 | .2713 | .1357 | .8643 |
1.11 | .2670 | .1335 | .8665 |
1.12 | .2627 | .1314 | .8686 |
1.13 | .2585 | .1292 | .8708 |
1.14 | .2543 | .1271 | .8729 |
1.15 | .2501 | .1251 | .8749 |
1.16 | .2460 | .1230 | .8770 |
1.17 | .2420 | .1210 | .8790 |
1.18 | .2380 | .1190 | .8810 |
1.19 | .2340 | .1170 | .8830 |
1.20 | .2301 | .1151 | .8849 |
1.21 | .2263 | .1131 | .8869 |
1.22 | .2225 | .1112 | .8888 |
1.23 | .2187 | .1093 | .8907 |
1.24 | .2150 | .1075 | .8925 |
1.25 | .2113 | .1056 | .8944 |
1.26 | .2077 | .1038 | .8962 |
1.27 | .2041 | .1020 | .8980 |
1.28 | .2005 | .1003 | .8997 |
1.29 | .1971 | .0985 | .9015 |
1.30 | .1936 | .0968 | .9032 |
1.31 | .1902 | .0951 | .9049 |
1.32 | .1868 | .0934 | .9066 |
1.33 | .1835 | .0918 | .9082 |
1.34 | .1802 | .0901 | .9099 |
1.35 | .1770 | .0885 | .9115 |
1.36 | .1738 | .0869 | .9131 |
1.37 | .1707 | .0853 | .9147 |
1.38 | .1676 | .0838 | .9162 |
1.39 | .1645 | .0823 | .9177 |
1.40 | .1615 | .0808 | .9192 |
1.41 | .1585 | .0793 | .9207 |
1.42 | .1556 | .0778 | .9222 |
1.43 | .1527 | .0764 | .9236 |
1.44 | .1499 | .0749 | .9251 |
1.45 | .1471 | .0735 | .9265 |
1.46 | .1443 | .0721 | .9279 |
1.47 | .1416 | .0708 | .9292 |
1.48 | .1389 | .0694 | .9306 |
1.49 | .1362 | .0681 | .9319 |
1.50 | .1336 | .0668 | .9332 |
1.51 | .1310 | .0655 | .9345 |
1.52 | .1285 | .0643 | .9357 |
1.53 | .1260 | .0630 | .9370 |
1.54 | .1236 | .0618 | .9382 |
1.55 | .1211 | .0606 | .9394 |
1.56 | .1188 | .0594 | .9406 |
1.57 | .1164 | .0582 | .9418 |
1.58 | .1141 | .0571 | .9429 |
1.59 | .1118 | .0559 | .9441 |
1.60 | .1096 | .0548 | .9452 |
1.61 | .1074 | .0537 | .9463 |
1.62 | .1052 | .0526 | .9474 |
1.63 | .1031 | .0516 | .9484 |
1.64 | .1010 | .0505 | .9495 |
1.65 | .0989 | .0495 | .9505 |
1.66 | .0969 | .0485 | .9515 |
1.67 | .0949 | .0475 | .9525 |
1.68 | .0930 | .0465 | .9535 |
1.69 | .0910 | .0455 | .9545 |
1.70 | .0891 | .0446 | .9554 |
1.71 | .0873 | .0436 | .9564 |
1.72 | .0854 | .0427 | .9573 |
1.73 | .0836 | .0418 | .9582 |
1.74 | .0819 | .0409 | .9591 |
1.75 | .0801 | .0401 | .9599 |
1.76 | .0784 | .0392 | .9608 |
1.77 | .0767 | .0384 | .9616 |
1.78 | .0751 | .0375 | .9625 |
1.79 | .0735 | .0367 | .9633 |
1.80 | .0719 | .0359 | .9641 |
1.81 | .0703 | .0351 | .9649 |
1.82 | .0688 | .0344 | .9656 |
1.83 | .0673 | .0336 | .9664 |
1.84 | .0658 | .0329 | .9671 |
1.85 | .0643 | .0322 | .9678 |
1.86 | .0629 | .0314 | .9686 |
1.87 | .0615 | .0307 | .9693 |
1.88 | .0601 | .0301 | .9699 |
1.89 | .0588 | .0294 | .9706 |
1.90 | .0574 | .0287 | .9713 |
1.91 | .0561 | .0281 | .9719 |
1.92 | .0549 | .0274 | .9726 |
1.93 | .0536 | .0268 | .9732 |
1.94 | .0524 | .0262 | .9738 |
1.95 | .0512 | .0256 | .9744 |
1.96 | .0500 | .0250 | .9750 |
1.97 | .0488 | .0244 | .9756 |
1.98 | .0477 | .0239 | .9761 |
1.99 | .0466 | .0233 | .9767 |
2.00 | .0455 | .0228 | .9772 |
2.01 | .0444 | .0222 | .9778 |
2.02 | .0434 | .0217 | .9783 |
2.03 | .0424 | .0212 | .9788 |
2.04 | .0414 | .0207 | .9793 |
2.05 | .0404 | .0202 | .9798 |
2.06 | .0394 | .0197 | .9803 |
2.07 | .0385 | .0192 | .9808 |
2.08 | .0375 | .0188 | .9812 |
2.09 | .0366 | .0183 | .9817 |
2.10 | .0357 | .0179 | .9821 |
2.11 | .0349 | .0174 | .9826 |
2.12 | .0340 | .0170 | .9830 |
2.13 | .0332 | .0166 | .9834 |
2.14 | .0324 | .0162 | .9838 |
2.15 | .0316 | .0158 | .9842 |
2.16 | .0308 | .0154 | .9846 |
2.17 | .0300 | .0150 | .9850 |
2.18 | .0293 | .0146 | .9854 |
2.19 | .0285 | .0143 | .9857 |
2.20 | .0278 | .0139 | .9861 |
2.21 | .0271 | .0136 | .9864 |
2.22 | .0264 | .0132 | .9868 |
2.23 | .0257 | .0129 | .9871 |
2.24 | .0251 | .0125 | .9875 |
2.25 | .0244 | .0122 | .9878 |
2.26 | .0238 | .0119 | .9881 |
2.27 | .0232 | .0116 | .9884 |
2.28 | .0226 | .0113 | .9887 |
2.29 | .0220 | .0110 | .9890 |
2.30 | .0214 | .0107 | .9893 |
2.31 | .0209 | .0104 | .9896 |
2.32 | .0203 | .0102 | .9898 |
2.33 | .0198 | .0099 | .9901 |
2.34 | .0193 | .0096 | .9904 |
2.35 | .0188 | .0094 | .9906 |
2.36 | .0183 | .0091 | .9909 |
2.37 | .0178 | .0089 | .9911 |
2.38 | .0173 | .0087 | .9913 |
2.39 | .0168 | .0084 | .9916 |
2.40 | .0164 | .0082 | .9918 |
2.41 | .0160 | .0080 | .9920 |
2.42 | .0155 | .0078 | .9922 |
2.43 | .0151 | .0075 | .9925 |
2.44 | .0147 | .0073 | .9927 |
2.45 | .0143 | .0071 | .9929 |
2.46 | .0139 | .0069 | .9931 |
2.47 | .0135 | .0068 | .9932 |
2.48 | .0131 | .0066 | .9934 |
2.49 | .0128 | .0064 | .9936 |
2.50 | .0124 | .0062 | .9938 |
2.51 | .0121 | .0060 | .9940 |
2.52 | .0117 | .0059 | .9941 |
2.53 | .0114 | .0057 | .9943 |
2.54 | .0111 | .0055 | .9945 |
2.55 | .0108 | .0054 | .9946 |
2.56 | .0105 | .0052 | .9948 |
2.57 | .0102 | .0051 | .9949 |
2.58 | .0099 | .0049 | .9951 |
2.59 | .0096 | .0048 | .9952 |
2.60 | .0093 | .0047 | .9953 |
2.61 | .0091 | .0045 | .9955 |
2.62 | .0088 | .0044 | .9956 |
2.63 | .0085 | .0043 | .9957 |
2.64 | .0083 | .0041 | .9959 |
2.65 | .0080 | .0040 | .9960 |
2.66 | .0078 | .0039 | .9961 |
2.67 | .0076 | .0038 | .9962 |
2.68 | .0074 | .0037 | .9963 |
2.69 | .0071 | .0036 | .9964 |
2.70 | .0069 | .0035 | .9965 |
2.71 | .0067 | .0034 | .9966 |
2.72 | .0065 | .0033 | .9967 |
2.73 | .0063 | .0032 | .9968 |
2.74 | .0061 | .0031 | .9969 |
2.75 | .0060 | .0030 | .9970 |
2.76 | .0058 | .0029 | .9971 |
2.77 | .0056 | .0028 | .9972 |
2.78 | .0054 | .0027 | .9973 |
2.79 | .0053 | .0026 | .9974 |
2.80 | .0051 | .0026 | .9974 |
2.81 | .0050 | .0025 | .9975 |
2.82 | .0048 | .0024 | .9976 |
2.83 | .0047 | .0023 | .9977 |
2.84 | .0045 | .0023 | .9977 |
2.85 | .0044 | .0022 | .9978 |
2.86 | .0042 | .0021 | .9979 |
2.87 | .0041 | .0021 | .9979 |
2.88 | .0040 | .0020 | .9980 |
2.89 | .0039 | .0019 | .9981 |
2.90 | .0037 | .0019 | .9981 |
2.91 | .0036 | .0018 | .9982 |
2.92 | .0035 | .0018 | .9982 |
2.93 | .0034 | .0017 | .9983 |
2.94 | .0033 | .0016 | .9984 |
2.95 | .0032 | .0016 | .9984 |
2.96 | .0031 | .0015 | .9985 |
2.97 | .0030 | .0015 | .9985 |
2.98 | .0029 | .0014 | .9986 |
2.99 | .0028 | .0014 | .9986 |
3.00 | .0027 | .0013 | .9987 |
3.01 | .0026 | .0013 | .9987 |
3.02 | .0025 | .0013 | .9987 |
3.03 | .0024 | .0012 | .9988 |
3.04 | .0024 | .0012 | .9988 |
3.05 | .0023 | .0011 | .9989 |
3.06 | .0022 | .0011 | .9989 |
3.07 | .0021 | .0011 | .9989 |
3.08 | .0021 | .0010 | .9990 |
3.09 | .0020 | .0010 | .9990 |
3.10 | .0019 | .0010 | .9990 |
3.11 | .0019 | .0009 | .9991 |
3.12 | .0018 | .0009 | .9991 |
3.13 | .0017 | .0009 | .9991 |
3.14 | .0017 | .0008 | .9992 |
3.15 | .0016 | .0008 | .9992 |
3.16 | .0016 | .0008 | .9992 |
3.17 | .0015 | .0008 | .9992 |
3.18 | .0015 | .0007 | .9993 |
3.19 | .0014 | .0007 | .9993 |
3.20 | .0014 | .0007 | .9993 |
3.21 | .0013 | .0007 | .9993 |
3.22 | .0013 | .0006 | .9994 |
3.23 | .0012 | .0006 | .9994 |
3.24 | .0012 | .0006 | .9994 |
3.25 | .0012 | .0006 | .9994 |
3.26 | .0011 | .0006 | .9994 |
3.27 | .0011 | .0005 | .9995 |
3.28 | .0010 | .0005 | .9995 |
3.29 | .0010 | .0005 | .9995 |
3.30 | .0010 | .0005 | .9995 |
3.31 | .0009 | .0005 | .9995 |
3.32 | .0009 | .0005 | .9995 |
3.33 | .0009 | .0004 | .9996 |
3.34 | .0008 | .0004 | .9996 |
3.35 | .0008 | .0004 | .9996 |
3.36 | .0008 | .0004 | .9996 |
3.37 | .0008 | .0004 | .9996 |
3.38 | .0007 | .0004 | .9996 |
3.39 | .0007 | .0003 | .9997 |
3.40 | .0007 | .0003 | .9997 |
3.41 | .0006 | .0003 | .9997 |
3.42 | .0006 | .0003 | .9997 |
3.43 | .0006 | .0003 | .9997 |
3.44 | .0006 | .0003 | .9997 |
3.45 | .0006 | .0003 | .9997 |
3.46 | .0005 | .0003 | .9997 |
3.47 | .0005 | .0003 | .9997 |
3.48 | .0005 | .0003 | .9997 |
3.49 | .0005 | .0002 | .9998 |
3.50 | .0005 | .0002 | .9998 |
3.51 | .0004 | .0002 | .9998 |
3.52 | .0004 | .0002 | .9998 |
3.53 | .0004 | .0002 | .9998 |
3.54 | .0004 | .0002 | .9998 |
3.55 | .0004 | .0002 | .9998 |
3.56 | .0004 | .0002 | .9998 |
3.57 | .0004 | .0002 | .9998 |
3.58 | .0003 | .0002 | .9998 |
3.59 | .0003 | .0002 | .9998 |
3.60 | .0003 | .0002 | .9998 |
3.61 | .0003 | .0002 | .9998 |
3.62 | .0003 | .0001 | .9999 |
3.63 | .0003 | .0001 | .9999 |
3.64 | .0003 | .0001 | .9999 |
3.65 | .0003 | .0001 | .9999 |
3.66 | .0003 | .0001 | .9999 |
3.67 | .0002 | .0001 | .9999 |
3.68 | .0002 | .0001 | .9999 |
3.69 | .0002 | .0001 | .9999 |
3.70 | .0002 | .0001 | .9999 |
3.71 | .0002 | .0001 | .9999 |
3.72 | .0002 | .0001 | .9999 |
3.73 | .0002 | .0001 | .9999 |
3.74 | .0002 | .0001 | .9999 |
3.75 | .0002 | .0001 | .9999 |
3.76 | .0002 | .0001 | .9999 |
3.77 | .0002 | .0001 | .9999 |
3.78 | .0002 | .0001 | .9999 |
3.79 | .0002 | .0001 | .9999 |
The fourth column is the N(0, 1) percentile for the percent given in column one. It is also the upper one-sided N(0, 1) critical value and two-sided N(0, 1) critical value for the significance levels given in columns two and three, respectively. |
Percent | 1-sided | 2-sided | ![]() |
50 | .50 | 1.00 | 0.00 |
55 | .45 | .90 | 0.13 |
60 | .40 | .80 | 0.25 |
65 | .35 | .70 | 0.39 |
70 | .30 | .60 | 0.52 |
75 | .25 | .50 | 0.67 |
80 | .20 | .40 | 0.84 |
85 | .15 | .30 | 1.04 |
90 | .10 | .20 | 1.28 |
91 | .09 | .18 | 1.34 |
92 | .08 | .16 | 1.41 |
93 | .07 | .14 | 1.48 |
94 | .06 | .12 | 1.55 |
95 | .05 | .10 | 1.64 |
95.5 | .045 | .090 | 1.70 |
96.0 | .040 | .080 | 1.75 |
96.5 | .035 | .070 | 1.81 |
97.0 | .030 | .060 | 1.88 |
97.5 | .025 | .050 | 1.96 |
98.0 | .020 | .040 | 2.05 |
98.5 | .015 | .030 | 2.17 |
99.0 | .010 | .020 | 2.33 |
99.05 | .0095 | .0190 | 2.35 |
99.10 | .0090 | .0180 | 2.37 |
99.15 | .0085 | .0170 | 2.39 |
99.20 | .0080 | .0160 | 2.41 |
99.25 | .0075 | .0150 | 2.43 |
99.30 | .0070 | .0140 | 2.46 |
99.35 | .0065 | .0130 | 2.48 |
99.40 | .0060 | .0120 | 2.51 |
99.45 | .0055 | .0110 | 2.54 |
99.50 | .0050 | .0100 | 2.58 |
99.51 | .0049 | .0098 | 2.58 |
99.52 | .0048 | .0096 | 2.59 |
99.53 | .0047 | .0094 | 2.60 |
99.54 | .0046 | .0092 | 2.60 |
99.55 | .0045 | .0090 | 2.61 |
99.56 | .0044 | .0088 | 2.62 |
99.57 | .0043 | .0086 | 2.63 |
99.58 | .0042 | .0084 | 2.64 |
99.59 | .0041 | .0082 | 2.64 |
99.60 | .0040 | .0080 | 2.65 |
99.61 | .0039 | .0078 | 2.66 |
99.62 | .0038 | .0076 | 2.67 |
99.63 | .0037 | .0074 | 2.68 |
99.64 | .0036 | .0072 | 2.69 |
99.65 | .0035 | .0070 | 2.70 |
99.66 | .0034 | .0068 | 2.71 |
99.67 | .0033 | .0066 | 2.72 |
99.68 | .0032 | .0064 | 2.73 |
99.69 | .0031 | .0062 | 2.74 |
99.70 | .0030 | .0060 | 2.75 |
99.71 | .0029 | .0058 | 2.76 |
99.72 | .0028 | .0056 | 2.77 |
99.73 | .0027 | .0054 | 2.78 |
99.74 | .0026 | .0052 | 2.79 |
99.75 | .0025 | .0050 | 2.81 |
99.76 | .0024 | .0048 | 2.82 |
99.77 | .0023 | .0046 | 2.83 |
99.78 | .0022 | .0044 | 2.85 |
99.79 | .0021 | .0042 | 2.86 |
99.80 | .0020 | .0040 | 2.88 |
99.81 | .0019 | .0038 | 2.89 |
99.82 | .0018 | .0036 | 2.91 |
99.83 | .0017 | .0034 | 2.93 |
99.84 | .0016 | .0032 | 2.95 |
99.85 | .0015 | .0030 | 2.97 |
99.86 | .0014 | .0028 | 2.99 |
99.87 | .0013 | .0026 | 3.01 |
99.88 | .0012 | .0024 | 3.04 |
99.89 | .0011 | .0022 | 3.06 |
99.90 | .0010 | .0020 | 3.09 |
99.91 | .0009 | .0018 | 3.12 |
99.92 | .0008 | .0016 | 3.16 |
99.93 | .0007 | .0014 | 3.19 |
99.94 | .0006 | .0012 | 3.24 |
99.95 | .0005 | .0010 | 3.29 |
99.96 | .0004 | .0008 | 3.35 |
99.97 | .0003 | .0006 | 3.43 |
99.98 | .0002 | .0004 | 3.54 |
99.99 | .0001 | .0002 | 3.72 |