NEGATIVE z Scores 0 TABLE A-2 Standard Normal (z) Distribution: Cumulative Area from the LEFT .06 .07 08 .09 .02 .03 .04 .05 00 .01 -3.50 and ower 0001 .0002 .0003 .0003 .0003 .0003 .0003 0003 .0003 .0003 -3.4 .0003 0004 .0004 0004 0003 -3.3 0005 .0005 .0005 .0004 .0004 004 .0006 0006 .0005 0005 0005 -3.2 0007 .0006 0006 0007 0006 0008 .0008 0007 0007 0010 0009 0009 0009 0008 -3.1 .0011 .0011 .0010 .0010 -3.0 .0013 .0013 .0013 .0012 .0012 .0011 .0016 0014 0016 0015 .0015 .0014 -2.9 .0019 0018 0018 0017 0023 0022 0021 0021 0020 0019 -2.8 0026 0025 0024 0023 .0030 .0029 0028 0027 0026 -2.7 .0035 0034 .0033 0032 0031 0040 .0039 .0038 0037 0036 -2.6 0047 0045 0044 0043 .0041 0049 0048 -2.5 0062 .0060 .0059 0057 0055 .0054 0052 .0051 0069 .0068 0066 0064 -2.4 0082 0080 0078 0075 0073 0071 .0084 0102 0099 0096 .0094 .0091 0089 0087 -2.3 .0107 0104 .0122 .0119 116 .0113 0110 .0139 0136 .0132 0129 0125 -2.2 0154 0150 .0146 0143 0179 0166 .0162 0158 -2.1 0174 .0170 .0202 0197 .0192 0188 0183 -2.0 .0228 0222 .0217 .0212 .0207 244 0239 0233 -1.9 0287 0281 1274 0268 026 1256 .0250 .0314 .0307 0301 .0294 -1.8 0359 0351 .0344 0336 0329 0322 0367 0418 0409 0401 0392 .0384 0375 -1.7 0446 0436 0427 .0537 0526 .0516 .0505 .0495 .0485 .0475 0465 .0455 -1.6 .0548 606 0594 .0582 .0571 0559 -1.5 0655 .0643 0630 .0618 .0668 .0764 .0749 0735 .0721 0708 .0694 0681 -1.4 .0808 .0793 0778 .0885 0869 0853 0838 0823 -1.3 0968 0951 0934 0918 .0901 .1112 .1093 .1075 .1056 .1038 .1020 1003 0985 -1.2 1151 1131 1251 1230 1210 .1190 1170 1292 1271 -1.1 1357 .1335 1314 1401 1379 1587 1562 1539 1515 1492 .1469 .1446 1423 -1.0 .1711 .1685 .1660 .1635 .1611 -0.9 .1841 1814 .1788 .1762 .1736 1894 1867 -0.8 2119 2090 .2061 2033 .2005 1977 1949 .1922 2236 2206 2177 2148 2327 2296 .2266 -0.7 2420 .2389 .2358 2483 2451 .2743 2709 .2676 .2643 2611 2578 2546 .2514 -0.6 3015 2981 294 1912 2877 2843 2810 2776 -0.5 .3085 3050 3336 3300 .3264 3228 .3192 3156 .3121 -0.4 3446 3409 .3372 3483 3745 3707 3669 3632 3594 .3557 3520 -0.3 3821 3783 .4090 .4052 .4013 .3974 .3936 .3897 .3859 -0.2 .4207 4168 .4129 4483 4443 4404 4364 .4325 4286 4247 -0.1 4602 4562 4522 .4761 4721 4681 4641 4880 4801 -0.C 5000 4960 4920 4840 (continued ) NOTE: For values of z below -3.49, use 0.0001 for the area. *Use these common values that result from interpolation: z Score Area -1.645 0.0500 2.575 0.0050POSITIVE z Scores TABLE A-2 (continued) Cumulative Area from the LEFT .04 .05 .06 .07 .08 09 .00 .01 .02 03 5239 5279 .5319 5359 0.0 5000 5040 5080 5120 5160 5199 5596 .5636 5675 .5714 5753 0.1 .5398 .5438 .5478 .5517 .5557 .5987 6026 6064 6103 .6141 0.2 5793 .5832 .5871 5910 5948 6368 6406 6443 .6480 6517 6179 6217 6293 6331 0.3 6255 .6844 6879 .6554 6591 6628 6664 .6700 .6736 6772 6808 0.4 .7019 7054 7088 7123 .7157 .7190 .7224 0.5 6915 6950 6985 7422 7454 7486 7517 7549 0.6 .7257 7291 7324 7357 7389 .7764 .7794 .7823 7852 0.7 .7580 .7611 .7642 7673 .7704 7734 .8133 7910 7939 .7967 7995 8023 .8051 .8078 3106 0.8 .7881 .8289 8315 3340 8365 .8389 0.9 .8159 8186 8212 B238 8264 8621 8438 8461 B485 .8508 8531 8554 8577 8599 1.0 .8413 8830 1.1 8643 8665 8686 8708 8729 8749 8770 3790 3810 8944 8962 8980 8997 9015 1.2 8849 8869 8888 8907 8925 914 .9177 1.3 9049 9066 9082 9099 .9115 9131 .9162 .9032 9319 1.4 .9192 .9207 .9222 .9236 .9251 .9265 9279 .9292 9306 9345 9357 9370 9382 .9394 9406 9418 .9429 .9441 1.5 .9332 9515 9525 9535 9545 1.6 .9452 .9463 .9474 .9484 9495 9505 9608 9616 9625 9633 9582 1.7 .9554 9573 .9591 9599 9564 9664 .9671 9678 9686 9693 9699 9706 1.8 .9641 9649 9656 .9744 9750 9756 .9761 .9767 1.9 9713 9719 9726 9732 9738 9803 9808 9812 9817 2.0 9772 9778 9783 9788 9793 9798 9857 9842 9846 9850 9854 2.1 .9821 9826 .9830 9834 .9838 9875 9878 9881 9884 .9887 9890 2.2 .9861 9864 9868 .9871 991 1 2.3 .9893 9896 9898 9901 9904 9909 9913 9916 9906 .9927 9929 9931 9932 .9934 9936 2.4 .9918 9920 .9922 9925 9948 9949 .9951 .9952 2.5 9938 9940 9941 9943 9945 9946 9960 .9962 9963 .9964 9959 .9961 2.6 9953 9955 9956 .9957 .9969 9970 9971 9972 .9973 .9974 2.7 .9965 .9966 9967 .9968 9978 9979 9980 9981 9977 .9979 2.8 .9974 9975 9976 9977 .9986 9986 2.9 .9981 .9982 9982 .9983 .9984 9984 9985 9985 .9990 .9987 9987 9987 .9988 .9988 .9989 9989 9989 9990 3.0 9992 9992 9992 .9992 .9993 9993 9990 .9991 .9991 .9991 3.1 9995 .9995 9994 9994 9995 3.2 .9993 9993 9994 .9994 .9994 9997 .9995 .9996 .9996 .9996 .9996 .9996 .9996 3.3 .9995 9995 .9997 .9997 9997 9998 34 .9997 9997 .9997 .9997 .9997 9997 3.50 and up .9999 NOTE: For values of z above 3.49, use 0.9999 for the area. Common Critical Values Confidence Critical eve Value *Use these common values that result from interpolation: 0.90 1.645 0.95 1.96 z Score Area 0.99 2.575 1.645 0.9500 2.575 0.9950Distribution Plot Normal, Mean=0, StDev=1 -3 -2 -1 O
