Answer Happy

[5pt] Bonus Question. This question is intended to earn extra points. A lead level of 5 ug/dL is used to represent a level that may not be safe for children. The following data show blood lead levels for a random sample of 10 children aged 4 and 5 at risk of lead poisoning. The data is as follows: Child ID 1 2 3 4 5 6 7 8 9 10 Lead Level (ug/dL) 5.1 5.4 5.3 5.5 5.2 5.5 5.6 5.2 5.5 5.3 Draw a density histogram using the following bins: (5.0,5.2), (5.2, 5.4], (5.4, 5.6). Note that (5.0,5.2] = {2|5.0 < x < 5.2}, (5.2, 5.4] = {2|5.2 < x < 5.4}, and (5.4, 5.6] {x|5.4 < x < 5.6}. You must clarify the values of c-axis and y-axis of the density histogram.

A-6 Appendix Tables Table A.3 Standard Normal Curve Areas Þ(z) = P(Z = z) Standard normal density curve Shaded area = P(z) 1 1 2 .00 .01 .02 .03 .04 .05 .06 .07 .08 .09 -3.4 -3.3 -3.2 .0003 .0005 .0007 .0009 .0013 .0003 .0005 .0006 .0009 .0013 .0003 .0004 .0006 .0009 .0012 .0003 .0004 .0006 .0008 .0011 .0003 .0004 .0006 .0008 .0011 .0003 .0004 .0005 .0008 .0011 .0003 .0004 .0005 .0007 .0010 .0002 .0003 .0005 -3.1 .0007 .0010 .0003 .0005 .0007 .0010 .0013 .0019 .0026 .0035 .0047 .0062 .0003 .0004 .0006 .0008 .0012 .0016 .0023 .0031 .0041 .0055 .0018 .0025 .0034 .0045 .0060 .0017 .0024 .0033 .0044 .0059 .0017 .0023 .0032 .0043 .0057 .0016 .0022 .0030 .0040 .0054 .0015 .0021 .0029 .0039 .0052 .0015 .0021 .0028 .0038 .0051 .0014 .0019 .0026 .0036 .0038 -3.0 -2.9 -2.8 -2.7 -2.6 -2.5 -2.4 -2.3 -2.2 -2.1 -2.0 -1.9 -1.8 -1.7 -1.6 -1.5 .0014 .0020 .0027 .0037 .0049 .0066 .0087 .0113 .0146 .0188 .0078 .0102 .0132 .0170 .0217 .0075 .0099 .0129 .0166 .0212 .0069 .0091 .0119 .0154 .0197 .0082 .0107 .0139 .0179 .0228 .0287 .0359 .0446 .0548 .0668 .0808 .0968 .0068 .0089 .0116 .0150 .0192 .0080 .0104 .0136 .0174 .0222 .0281 .0352 .0436 .0537 .0655 .0071 .0094 .0122 .0158 .0202 .0256 .0322 .0401 .0073 .0096 .0125 .0162 .0207 .0262 .0329 .0409 .0505 .0618 .0064 .0084 .0110 .0143 .0183 .0233 .0294 .0367 .0274 .0344 .0427 .0526 .0643 .0268 0336 .0418 .0516 .0630 .0250 .0314 .0392 .0485 .0594 .0244 .0307 .0384 .0475 .0582 .0239 .0301 .0375 .0465 .0571 .0495 .0455 .0606 .0559 -1.4 -1.3 .0793 .0951 .0778 .0934 .0764 .0918 .0749 .0901 .0735 .0885 .0722 .0869 .0708 .0853 .0694 .0838 .0681 0823

Table A.3 Standard Normal Curve Areas (cont.) P(Z) == P(Z > Z) Z .00 .01 .02 .03 .04 .05 .06 .07 .08 .09 0.0 0.1 0.2 0.3 0.4 .5000 .5398 .5793 .6179 .6554 .5040 .5438 .5832 .6217 .6591 .5080 .5478 .5871 .6255 .6628 .5120 .5517 .5910 .5160 .5557 .5948 .6331 .6700 .5279 .5675 .6064 .6443 .6808 .5319 .5714 .6103 .6480 .6844 .6293 .5199 .5596 .5987 .6368 .6736 .7088 .7422 .7734 .8023 .8289 .5359 .5753 .6141 .6517 .6879 .7224 .7549 .7852 0.5 0.6 0.7 0.8 0.9 .6915 .7257 .7580 .7881 .8159 .5239 .5636 .6026 .6406 .6772 .7123 .7454 .7764 .8051 .8315 .8554 .8770 .8962 .9131 .9278 .7157 .7486 .7794 .8078 .8340 .8133 .6950 .7291 .7611 .7910 .8186 .8438 .8665 .8869 .9049 .9207 .8389 .6985 .7324 .7642 .7939 .8212 .8461 .8686 .8888 .9066 .9222 .7190 .7517 .7823 .8106 .8365 .8599 .8810 .8997 .9162 .9306 1.0 1.1 1.2 1.3 1.4 .8413 .8643 .8849 .9032 .9192 .8531 .8749 .8944 .9115 .9265 .8577 .8790 .8980 .9147 .9292 .7054 .7389 .7704 .7995 .8264 .8508 .8729 .8925 .9099 .9251 .9382 .9495 .9591 .9671 .9738 .9793 .9838 .9875 .9904 .9927 1.5 1.6 1.7 1.8 1.9 .9357 .9474 .9573 .9656 .9726 .6664 .7019 .7357 .7673 .7967 .8238 .8485 .8708 .8907 .9082 .9236 .9370 .9484 .9582 .9664 .9732 .9788 .9834 .9871 .9901 .9925 .9943 9957 .9968 .9977 .9983 .9988 .9991 .9994 .9996 .9997 .9394 .9505 .9599 .9678 .9744 .9406 .9515 .9608 .9686 .9750 .9332 .9452 .9554 .9641 .9713 .9772 .9821 .9861 .9893 .9918 .9938 .9953 .9965 .9974 9981 .9345 .9463 .9564 .9649 .9719 .9778 .9826 .9864 .9896 .9920 .9418 .9525 .9616 .9693 .9756 .9808 .9850 .9884 .9911 .9932 .9429 .9535 .9625 .9699 .9761 .9812 .9854 .9887 .9913 .9934 .8621 .8830 .9015 .9177 .9319 .9441 .9545 .9633 .9706 .9767 .9817 .9857 .9890 .9916 .9936 .9952 .9964 .9974 2.0 2.1 2.2 2.3 2.4 2.5 2.6 2.7 2.8 2.9 .9798 .9842 .9878 .9906 .9929 .9803 .9846 .9881 .9909 .9931 .9948 .9961 .9971 .9979 .9985 .9949 .9962 9783 .9830 .9868 .9898 .9922 .9941 .9956 .9967 .9976 .9982 .9987 .9991 .9994 .9995 .9997 .9972 .9979 .9985 .9951 .9963 .9973 .9980 .9986 .9940 .9955 .9966 .9975 .9982 .9987 .9991 .9993 .9995 .9997 .9981 .9945 .9959 .9969 .9977 .9984 .9988 .9992 .9994 .9996 .9997 .9946 .9960 .9970 9978 .9984 .9989 9992 .9994 .9996 .9997 .9986 .9990 .9993 3.0 3.1 3.2 3.3 3.4 .9987 .9990 .9993 .9995 .9997 .9989 .9992 .9994 .9996 .9997 .9989 .9992 .9995 .9996 .9997 .9990 .9993 .9995 .9996 .9997 .9995 .9997 .9998