Using the same information as for number 6 above, Find P 5 the 5 th percentile. This is the bone density score separating the bottom 5% from the top 95%. PLEASE SHOW ALL WORK!!! This is number 6: In...

Using the same information as for number 6 above, Find P₅
the 5^th
percentile. This is the bone density score separating the bottom 5% from the top 95%.

PLEASE SHOW ALL WORK!!!

This is number 6:

In the following two problems assume that a randomly selected subject is given a bone density test. The test scores are normally distributed with a mean of 0 and a standard deviation of 1. In each case, draw a graph and find the probability of the given scores. Use table A-2

a) Less than -0.19

b) Between 1.23 and 2.37

Extracted text: 684 APPENDIX A Tables A XI NEGATIVE z Scores TABLE A- TABLE A-2 Standard Normal (z) Distribution: Cumulative Area from the LEFT 0.0 .00 .01 .02 .03 .04 .05 .06 .07 .08 .09 0.1 -3.50 and 0.2 lower .0001 .0003 .0003 .0002 0.3 -3.4 .0003 .0003 .0003 .0003 .0003 .0003 .0003 .0005 .0005 .0005 .0004 .0004 .0004 .0004 .0004 .0004 .0003 0.4 -3.3 -3.2 .0007 .0007 .0006 .0006 .0006 .0006 .0006 .0005 .0005 .0005 0.5 -3.1 .0010 .0009 .0009 .0009 .0008 .0008 .0008 .0008 .0007 .0007 0.6 -3.0 .0013 .0013 .0013 .0012 .0012 .0011 .0011 .0011 .0010 .0010 0.7 -2.9 .0019 .0018 .0018 .0017 .0016 .0016 .0015 .0015 .0014 .0014 0.8 -2.8 .0026 .0025 .0024 .0023 .0023 .0022 .0021 .0021 .0020 .0019 0.9 -2.7 .0035 .0034 .0033 .0032 .0031 .0030 .0029 .0028 .0027 .0026 1.0 -2.6 .0047 .0045 .0044 .0043 .0041 .0040 .0039 .0038 .0037 .0036 1.1 -2.5 .0062 .0060 .0059 .0057 .0055 .0054 .0052 .0051 .0049 .0048 1.2 -2.4 .0082 .0080 .0078 .0075 .0073 .0071 .0069 .0068 .0066 .0064 1.3 -2.3 .0107 .0104 .0102 .0099 .0096 .0094 .0091 .0089 .0087 .0084 1.4 -2.2 .0139 .0136 .0132 .0129 .0125 .0122 .0119 .0116 .0113 .0110 1. -2.1 .0179 .0174 .0170 .0166 .0162 .0158 .0154 .0150 .0146 .0143 -2.0 .0228 .0222 .0217 .0212 .0207 .0202 .0197 .0192 .0188 .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 .0951 .0934 .0918 .0901 .0885 .0869 .0853 .0838 .0823 -1.2 .1151 .1131 .1112 .1093 .1075 .1056 .1038 .1020 .1003 .0985 -1.1 .1357 .1335 .1314 .1292 .1271 .1251 .1230 .1210 .1190 .1170 -1.0 .1587 .1562 .1539 .1515 .1492 .1469 .1446 .1423 .1401 .1379 -0.9 .1841 .1814 .1788 .1762 .1736 .1711 .1685 .1660 .1635 .1611 -0.8 .2119 .2090 .2061 .2033 .2005 .1977 .1949 .1922 .1894 .1867 -0.7 .2420 .2389 .2358 .2327 .2296 .2266 .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 .3974 .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-3.49, use 0.0001 for the area. (continued) *Use these common values that result from interpolation: z Score Area -1.645 0.0500 -2.575 0.0050


Extracted text: APPENDIX A Tables 685 HA ABJBAT POSITIVE Zz Scores TABLE A-2 (continued) Cumulative Area from the LEFT .00 .01 09 .02 0.0 .5000 .03 .5040 .04 .5080 .05 .06 .07 .08 .09 0.1 .5398 .5438 .5120 .5160 .5478 .5199 .5239 .5279 .5319 .5359 0.2 .5793 .5517 .5832 .5557 .5871 .5596 .5636 .5675 .5714 .5753 0.3 .6179 .5910 .6217 .6255 .5948 .5987 .6026 .6064 .6103 .6141 0.4 .6554 .6591 .6293 .6331 .6628 .6368 .6406 .6443 .6480 .6517 0.5 .6915 .6664 .6700 .6950 .6985 .6736 .6772 .6808 .6844 .6879 .7019 0.6 .7257 .7291 .7054 .7088 .7324 .7123 .7157 .7190 .7224 .7357 0.7 .7580 .7611 .7389 .7422 .7454 .7486 .7517 .7642 .7549 .7673 0.8 .7881 .7910 .7704 .7734 .7764 .7794 .7823 .7939 .7852 .7967 0.9 .8159 .8186 .7995 .8023 .8051 .8078 .8106 .8133 .8212 .8238 1.0 .8413 .8438 .8264 .8289 .8315 .8340 .8365 .8389 .8461 .8485 .8508 1.1 .8643 .8665 .8531 .8554 .8577 .8599 .8621 .8686 .8708 .8729 .8749 .8770 .8790 .8810 .8830 1.2 .8849 .8869 .8888 .8907 .8925 .8944 .8962 .8980 .8997 .9015 1.3 .9032 .9049 .9066 .9082 .9099 .9115 .9131 .9147 .9162 .9177 1.4 .9192 .9207 .9222 .9236 .9251 .9265 .9279 .9292 .9306 .9319 1.5 .9332 .9345 .9357 .9370 .9382 .9394 .9406 .9418 .9429 .9441 1.6 .9452 .9463 .9474 .9484 .9495 .9505 .9515 .9525 .9535 .9545 1.7 .9554 .9564 .9573 .9582 .9591 .9599 .9608 .9616 .9625 .9633 1.8 .9641 .9649 .9656 .9664 .9671 .9678 .9686 .9693 .9699 .9706 1.9 .9713 .9719 .9726 .9732 .9738 .9744 .9750 .9756 .9761 .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 .9887 .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 .9941 .9943 .9945 .9946 .9948 .9949 .9951 .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 .9982 .9983 .9984 .9984 .9985 .9985 .9986 .9986 2.9 .9981 .9982 .9987 .9988 .9988 .9989 .9989 .9989 .9990 .9990 3.0 .9987 .9987 .9991 .9992 .9992 .9992 .9992 .9993 .9993 3.1 .9990 .9991 .9991 .9994 .9994 .9994 .9994 .9995 .9995 .9995 3.2 .9993 .9993 .9994 .9996 .9996 .9996 .9996 .9996 .9996 .9997 3.3 .9995 .9995 .9995 .9997 ,9997 .9997 .9997 .9997 .9997 .9998 3.4 .9997 .9997 .9997 3.50 and up ,9999 Common Critical Values NOTE: For values of z above 3.49, use 0.9999 for the area. Confidence Critical Level Value 0.90 1.645 Ude these common values that result from interpolation: 0.95 1.96 z Score Area 0.99 2.575 1.645 0.9500 2.575 0.9950