726 APPENDIX B STATISTICAL TABLES (A) (B) (C) (D) (A (B) Proportion (C) Proportion (D) Proportion Proportion in Body Proportion in Tail Proportion Between Mean and z in Body in Tail Between Mean and z 0.50 6915 3085 .1915 0.51 1.00 .8413 6950 . 1587 3050 .3413 .1950 0.52 1.01 .8438 6985 .3015 . 1562 .3438 1985 1.02 0.53 .8461 .7019 1539 2981 .3461 2019 1.03 0.54 .8485 7054 1515 2946 .3485 2054 1.04 .8508 .1492 0.55 .3508 7088 2912 2088 1.05 0.56 .8531 .7123 .1469 2877 .2123 3531 1.06 0.57 .7157 .8554 .2843 .1446 .2157 .3554 1.07 0.58 .7190 .8577 2810 1423 2190 .3577 1.08 0.59 .8590 .7224 . 1401 .2776 .3599 .2224 1.09 .8621 1379 0.60 .7257 .3621 274 2257 1.10 0.61 8643 .7291 2709 1357 3643 .2291 1.11 .8665 0.62 7324 .1335 .2676 3665 .2324 1.12 0.63 .7357 8686 .2643 1314 2357 3686 1.13 8708 0.64 .7389 1292 .2611 .370 .2389 1.14 .8729 1271 0.65 .7422 .3729 .2578 .2422 1.15 .8749 0.66 .7454 .2546 . 1251 2454 .3749 1.16 0.67 .8770 .7486 1230 .2514 .2486 .3770 1.17 0.68 .7517 2483 .8790 .2517 .1210 .3790 1.18 0.69 8810 7549 1190 2451 .3810 .2549 1. 19 8830 1170 0.70 3830 .7580 2420 .2580 1.20 .8849 0.71 .7611 2389 .1151 3849 .2611 1.21 8869 0.72 .7642 .1131 .2358 3869 .2642 0.73 1.22 7673 .8888 2327 .1112 .2673 3888 1.23 0.74 .8907 .7704 .1093 2296 .390 .2704 1.24 .8925 1075 0.75 7734 3925 .2266 .2734 0.76 1.25 .8944 .7764 .2236 . 1056 2764 3944 1.26 0.77 8962 .7794 1038 .2206 .3962 .2794 0.78 1.27 .7823 .8980 2177 1020 2823 .3980 0.79 1.28 .8997 .7852 2148 1003 3997 2852 1.29 9015 0985 4015 0.80 .788 2119 .2881 1.30 0.81 .9032 .7910 2090 0968 4032 .2910 1.31 .9049 0.82 .0951 7939 2061 4049 .2939 0.83 1.32 .9066 7967 .2033 0934 4066 296 1.33 9082 0.84 7995 0918 2005 4082 .2995 1.34 .9099 0901 .4099 0.85 8023 .1977 .3023 1.35 0.86 8051 .9115 1949 0885 3051 .41 15 1.36 0.87 9131 0869 .8078 192 4131 .3078 0.88 1.37 9147 8106 0853 .1894 .4147 3106 1.38 0.89 9162 .8133 1867 0838 .3133 4162 1.3 9177 0823 0.90 .4177 .8159 184 .3159 1.40 0.91 .9192 8186 .0808 1814 4192 .3186 1.41 9207 0.92 8212 0793 1788 4207 .3212 1.42 0.93 9222 8238 0778 .1762 4222 .3238 1.43 0.94 .9236 8264 0764 .1736 4236 3264 1.44 9251 0749 4251 0.95 8289 171 3289 1.45 0.96 .9265 8315 0735 1685 .3315 4265 1.46 9279 0.9 8340 .1660 0721 .3340 4279 1.47 9292 0.98 0708 .8365 .1635 .4292 .3365 1.48 0.99 .8389 .9306 .1611 0694 .3389 4306 1.49 .9319 0681 4319728 APPENDIX B STATISTICAL TABLES (A (B) (C) (D) (A) (B) (C) (D) Proportion Proportion Proportion Proportion Proportion Proportion in Body in Tai Between Mean and z in Body in Tail Between Mean and z 2.50 .9938 0062 938 2.95 .9984 0016 .4984 2.51 9940 0060 940 2.96 9985 0015 4985 2.52 9941 0059 .4941 2.97 .9985 .0015 4985 2.53 9943 0057 4943 298 986 .0014 4986 2.54 9945 0055 4945 2.99 9986 .0014 4986 2.55 9946 0054 4946 3.00 9987 0013 4987 2.56 .9948 0052 4948 3.01 9987 .0013 .4987 2.57 9949 0051 4949 3.02 9987 .0013 498 2.58 9951 0049 .4951 3.03 9988 0012 4988 2.59 .9952 048 4952 3.04 988 0012 .4988 2.60 9953 0047 .4953 3.05 9989 .0011 4989 2.61 9955 1045 4955 3.06 989 0011 4989 2.62 .9956 0044 4956 3.07 .9989 .0011 .4989 2.63 9957 0043 4957 3.08 9990 0010 499 2.64 .9959 0041 4959 3.09 9990 .0010 .4990 2.65 9960 0040 4960 3.10 9990 .0010 .4990 2.66 9961 0039 4961 3.11 .9991 .0009 4991 2.67 9962 0038 4962 3.12 9991 0009 1991 2.68 9963 0037 4963 3.13 .9991 .0009 4991 2.69 9964 0036 4964 3.14 9992 .0008 4992 2.70 9965 0035 .4965 3.15 .9992 0008 .4992 2.71 9966 034 4966 3.16 9992 0008 4992 2.72 9967 0033 4967 3.17 9992 .0008 4992 2.73 9968 0032 4968 3.18 .9993 0007 .4993 2.74 .9969 0031 .4969 3.19 9993 .0007 .4993 2.75 9970 030 4970 3.20 9993 0007 .4993 2.76 9971 0029 4971 3.21 9993 .0007 .4993 2.77 9972 0028 4972 3.22 9994 0006 499 2.78 9973 0027 4973 3.23 9994 .0006 .4994 2.79 9974 0026 4974 3.24 9994 0006 2.80 9974 0026 4974 3.30 .9995 .0005 4995 2.81 9975 0025 4975 3.40 9997 0003 .4997 2.82 9976 0024 4976 3.50 9998 .0002 4998 2.83 9977 0023 4977 3.60 998 0002 4998 2.84 9977 0023 4977 3.70 .9999 .0001 .4999 2.85 9978 0022 4978 3.80 .99993 .00007 49993 2.86 9979 0021 4979 3.90 99995 .00005 49995 2.87 9979 0021 4979 4.00 99997 .00003 49997 2.88 .9980 0020 4980 2.89 9981 0019 498 2.90 .9981 .0019 .4981 2.91 9982 0018 982 2.92 9982 0018 .4982 2.93 9983 0017 4983 2.94 .9984 .0016 .4984APPENDIX B STATISTICAL TABLES 727 (A) (B) (C) (D) (A) (B) (C) (D) Proportion Proportion Proportion Proportion Proportion Proportion in Body in Tail Between Mean and z in Body in Tail Between Mean and z 1.50 9332 0668 4332 2.00 9772 .0228 477 1.51 9345 .0655 4345 2.01 9778 0222 4778 1.52 9357 0643 4357 2.02 9783 .0217 .4783 1.53 .9370 .0630 4370 2.03 9788 .0212 4788 1.54 9382 0618 4382 2.04 9793 0207 4793 1.55 9394 .0606 4394 2.05 .9798 .0202 4798 1.56 9406 .0594 4406 2.06 .9803 .0197 4803 1.57 9418 0582 4418 2.07 .9808 4808 1.58 9429 0571 .4429 2.08 9812 .0188 4812 1.59 .9441 .0559 4441 2.09 9817 .0183 4817 1.60 9452 .0548 4452 2.10 9821 0179 4821 1.61 .9463 .0537 4463 2.11 9826 4826 1.62 9474 .0526 1474 2.12 9830 0170 4830 1.63 .9484 0516 .4484 2.13 .9834 0166 4834 1.64 9495 0505 .4495 2.14 9838 .0162 4838 1.65 9505 .0495 4505 2.15 .9842 .0158 .4842 1.66 .9515 0485 4515 2.16 .9846 .0154 4846 1.67 9525 047 4525 2.17 .9850 .0150 4850 1.68 .9535 .0465 4535 2.18 .9854 .0146 4854 1.69 9545 0455 4545 2.19 9857 .0143 4857 1.70 .9554 0446 .4554 2.20 .9861 .0139 4861 1.71 9564 .0436 4564 2.21 9864 .0136 4864 1.72 9573 0427 4573 2.22 9868 .0132 4868 1.73 9582 0418 4582 2.23 .9871 .0129 4871 1.74 .9591 .0409 4591 2.24 .9875 0125 4875 1.75 .9599 0401 4599 2.25 9878 .0122 4878 1.76 9608 0392 4608 2.26 .9881 01 19 4881 1.77 9616 038 .4616 2.27 .9884 .0116 4884 1.78 9625 0375 4625 2.28 .9887 .01 13 4887 1.79 .9633 0367 4633 2.29 .9890 01 10 4890 1.80 9641 0359 4641 2.30 9893 .0107 4893 1.81 9649 .0351 4649 2.31 .9896 0104 4896 1.82 9656 0344 4656 2.32 .9898 .0102 4898 1.83 9664 .0336 4664 2.33 .9901 .0099 4901 1.84 9671 .0329 4671 2.34 .9904 0096 4904 1.85 3496 0322 4678 2.35 .9906 0094 4906 1.86 9686 0314 4686 2.36 9909 0091 4909 1.87 9693 .0307 4693 2.37 991 .0089 491 1 1.88 9699 0301 4699 2.38 .9913 0087 4913 1.89 9706 0294 4706 2.39 9916 .0084 4916 1.90 9713 0287 4713 2.40 9918 .0082 .4918 1.91 9719 0281 4719 2.41 .9920 .0080 4920 1.92 9726 .0274 4726 2.42 .9922 0078 4922 1.93 9732 0268 4732 2.43 .9925 0075 4925 1.94 9738 0262 4738 2.44 .9927 0073 4927 1.95 .9744 .0256 4744 2.45 .9929 .0071 4929 1.96 .9750 0250 4750 2.46 9931 .0069 4931 1.97 9756 .0244 4756 2.47 9932 0068 4932 1.98 9761 0239 .4761 2.48 .9934 .0066 4934 1.99 .9767 0233 4767 2.49 9936 .0064 4936APPENDIX B Statistical Tables TABLE B.1 THE UNIT NORMAL TABLE* *Column A lias z-score values. A vertical line drawn through a normal distribution at a escore location divides the distribution into two sections. Column B identifies the proportion in the larger section, called the body. Column C identies the proportion in the smaller section, called the tail. Column D identies the proportion between the mean and the zscore. Note: (.4: 0,00 00 1 0.02 0.03 0.04 0.05 0.06 0.07 0.08 0.09 0.10 0.11 0.12 0.13 0.14 0.15 0.16 0.17 0.18 0.19 0.20 0.2 1 0.22 0.23 0.24 Because the normal distribution is symmetrical, the proportions for negative zscores are the same as those for positive z-scm'es. Body Body B B 1011 Toll C C 0 +1 z 0 0 1 Bi Proportion in Bud) .5000 .5040 .5080 .5120 .5160 .5199 .5239 .5279 .5319 .5359 .5398 .5438 .5478 .5517 .5557 .5596 .5636 .5675 .5714 .5753 .5793 .5832 .5871 .5910 .5948 (0 Proportion in Tail .5000 .4960 .4920 .4880 .4840 .4801 .4761 .4721 .4681 .4641 .4602 .4562 .4522 .4443 .4364 .4325 .4286 .4247 .4207 .4 1 611 .4 129 .405 2 1D! Proportion Between Mean and z .0080 .01 20 .0160 .0 [99 .0239 .0279 .03 1 9 .0359 .0398 .0438 .0478 .05 1 7 .0557 .0596 .0636 .0675 .07 14 .0753 .0793 .0832 .087 1 .09 10 (A) 0.25 0.26 0.27 0.28 0.29 0.30 0.31 0.32 0.33 0.34 0.35 0.36 0.37 0.38 0.39 0.40 0.4 l 0.42 0.43 0.44 0,45 0.46 0.47 0.48 0.49 [C 7 Proportion in 'l'.til .4013 .3974 .3936 .3897 .3859 .3821 .3783 .3745 .3707 .3669 .3632 .3594 .3557 .3520 .3483 .3372 .3336 .33\") .3264 .3228 .3192 .3156 .3121 CD1 Proponion Between Mem and .- .0987 .1026 .1064 .1103 .1141 .1179 .1217 .1255 .1293 .1331 .1368 .1406 .1443 .1480 .1517 .1554 .1591 .1628 .1664 .1700 .1736 .1772 .1808 .1844 .1879 775