1. Find the Area under the curve that appears LESS THAN z-score Z = -1.96
2. Find the Area under the curve that appears LESS THAN z-score Z = 2.56
3. Find the Area under the curve that appears GREATER THAN z-score Z = -3.05
4. Find the Area under the curve that appears GREATER THAN z-score Z = 0.18
5. Find the Area BETWEEN z-scores Z = -2.75 and Z = -0.75
6. Find the Area BETWEEN z-scores Z = 1.50 and Z = 2.50
Appendix A 753 Tabel A-2 (Inside Back Cover in Text ) POSITIVE z Scores PG Last Dight of E-Score Here 2 Digits of E-Score Here TABLE, A:2 (continued) Cumulative Area from the LEFT .01 .OZ 03 04 .05 06 .07. .08 .09 .5000 .5040 5080 .5120 .5160 .5199 5239 .5279 .5319 .5359 0.0 0.1 .5398 .5438 .5478 .5517 5557 .5596 .5636 5675 .5714 5753 5793 5832 .5871 5910 5948 .5987 .6026 6064 .6141 0.2 .6103 0.3 6179 .6217 6255 .6293 .6331 .6368 .6406 6443 .6480 6517 0.4 .6554 .6591 .6628 .6664 6700 6736 6772 .6808 .6844 6879 0.5 6915 .6950 .6985 .7019 7054 .7088 7123 .7157 .7190 .7224 0.6 7257 7291 7324 7357 7389 .7422 .7454 7486 .7517 .7549 0.7 .7580 7671 7642 7673 7704 7734 7764 7794 .7823 7852 0.8 7881 .7910 7939 7967 .7995 .8023 8051 .8078 .8106 8133 0.9 8159 .8186 .8212 .8238 .8264 .8289 .8315 8340 .8365 8389 1.0 .8413 .8438 .8461 .8485 8508 .8531 8554 .8577 .8599 621 1.1 .8643 8665 .8686 .8708 8729 8749 8770 .8790 8810 3830 1.2 .8849 8869 8888 .8907 8925 .8944 8962 8980 899 9015 1.3 . 9032 .9049 .9066 9082 9099 .9115 .9131 9147 9162 917 1.4 9192 9207 9227 9236 9251 .9265 .9279 9292 .9306 .9319 1.5 9337 9345 9357 9370 9382 .9394 .9406 9418 9429 .9441 1.6 9452 .9463 .9474 .9495 .9505 .9515 9525 .9535 .9545 1.7 9554 9564 .9573 9582 .9591 9599 9608 9616 962 9633 1.8 9641 .9649 9656 .9664 .9671 .9678 968 9693 9699 .9706 1.9 9713 9719 9726 .9732 9738 9744 9750 9756 976 9767 2.0 .9772 9778 .9783 9788 9793 9798 .9803 .9808 9812 9817 2.1 .9821 .9826 .9830 .9834 9838 .9842 9846 9850 9854 .9857 2.2 .9861 .9864 .9868 .9871 .9875 .9878 9881 9884 988 9890 2.3 9893 9896 9898 .9901 9904 9906 9909 :9911 9913 .9916 2.4 9918 .9920 9922 .9925 .9927 9929 9931 9932 9934 9936 2.5 .9938 .9940 994 9943 9945 .9946 .9948 9949 995 9952 2.6 .9953 :9955 9956 .9957 .9959 -9960 9961 .9962 .9963 .9964 2.7 .9965 .9966 .9967 9968 9969 .9970 .9971 9972 :9973 9974 2.8 .9974 .9975 .9976 .9977 .9977 .9978 .9979 .9979 9980 9981 2.9 .9981 .9982 .9982 .9983 .9984 .9984 9985 9985 .9986 9986 3.0 .9987 9987 .9987 9988 .9988 .9989 .9989 9989 .9990 .999 3.1 9990 .9991 .9991 9991 .9992 .9992 9992 9992 9993 9993 3.2 .9993 9993 9994 9994 .9994 .9994 .9994 9995 .9995 .9995 3.3 9995 9995 .9995 3996 9996 9996 .9996 9996 9996 9997 3.4 9997 .9997 .9997 .9997 9997 .9997 .9997 .9997 .9997 .9998 3.50 .9999 and up VOTE: For values of z above 3.49, use 0.9999 for the area. Common Critical Values "Use these common values that result from interpolation: Confidence | Critical z score "Area . Leve Value 1645 0.9500 0.90 .64 2.575 0.9950 0.95 1.96 0.99 2.575752 Appendix A NEGATIVE z Scores TABLE A:2 Standard Normal (z) Distribution: Cumulative Area from the LEFT 00 .01 .02 .03 04 .05 .06 .07 .08 .09 -3.50 and lower OOO1 . -3.4 .0003 0003 .0003 0003 0003 0003 .0003 .0003 0003 .0002 -3.3 0005 40005 0004 0004 .0004 .0004 -0004 . .0004 .0003 -3.2 .0007 .0007 0006 .0006 .0006 0006 .0006 0005 0005 .OOOS -3.1 .0010 .0009 10009 .0009 .0008 :0008 .0008 .0008 .0007 0907 -3.0 .0013 .0013 .0013 .0012 .0011 .0011 .0010 .0010 -2.9 0019 0018 0018 .0017 0016 .C016 .0015 .0015 .0014 : 10014 -2.8 .0026 0025 .0024 .0023 0023 .0022 :0021 .0021 0020 0019 -2.7 0035 0034 0033 .0032 0031 0030 .0029 DO28 .0027 0026 -2.6 .0047 0045 0044 .0043 004 .0040 .0039 .0038 .0037 .0036 -2.5 .0062 .0060 .0059 .0057 005S .0054 .0052 .0051 .0049 0048 -2.4 0082 .0080 :0078 0075 0073 0071 .0069 .0068 .0056 0064 -2:3 0107 0104 .0102 0099 .0096 .0094 .0091 .0089 .0087 .0084 -2.2 .0139 )136 .0132 0129 .0125 0122 0119 0716 .0113 OTTO .0179 0174 -. .0170 0166 .0162 .0158 .0154 0150 .0146 .0143 -2.0 .0228 .0222 0217 0212 0207 0202 0197 0192 0186 0183 -1.9 0287 0281 .0274 .0268 .0262 0256 0250 0244 .0239 0233 . -1.8 .0359 0351 .0344 0336 . .0329 .0322 0314 0307 .0301 .0294 -1.7 . :0446 0436 0427 -0418 0409 0401 .0392 .0384 :0375 . 0367 -1.6 .0548 .0537 .0526 :0516 0505 $ .0495 .0485 .0475 .0465 0455 -1.5 -0668 0655 .0643 .0630 0618 .0606 .0594 .0582 .0571 0559 -1.4 .0808 .0793 .0778 0764 0749 0735 0721 0708 0694 0681 -1.3 .0968 095 .0934 .0918 .0901 .0885 .0869 .0853 .0838 0823 -1.2 3151 .1131 .1712 1093 1075 1056 038 .1020 .1003 .0985 - -1.I 1357 .1335 .1314 .1292 1271 1251 1230 1210 .1190 . . .1170 -1.0 1587 .1562 .1539 .1515 .1492 1469 1446 .1423 .1401 1379 -0.9 184 1814 1788 .1762 1736 1711 1685 1660 635 .1611 -O.B .2119 2090 2061 .2033 .2005 .1977 1949 .1922 .1894 1867 -0.7 .2420 389 2358 .2327 2296 2256 .2236 2206 2177 .2148 -0.6 .2743 .2709 2676 2643 .2611 .2578 .2546 .2514 2483 2451 -0.5.. 3085 .3050 3015 2981 2946 .2912 .2877 .2843 :2810 2776 -0.4 3446 .3409 .3372 3336 3300 3264 3228 .3192 3156 .3121 -0.3 .3821 3783 3745 .3707 .3669 . .3632 3594 3557 .3520 3483 -0.2 4207 4168 4129 4090 4052 4013 5974 3936 .3897 3859 -0.1 :4602 4562. 4522. 4483 . . ..4443 4404 4364 4325 . .4286 4247 -0.0 .5000 .4960 .4920 .4880 4840 .4801 4761 4721 4681 .4641 NOTE For values of z below -1.49, use 0.0001/for the area. "Use these common values that result from interpolation: z score Area -1.645 0.0500 -2.575 0.0050
