Homework Help is Here – Start Your Trial Now!
Math
Statistics
4. Human heights are one of many variables that can be modelled by the normal distribution. Assume the heights of men have a mean of 69 inches with a standard deviation of 3.5 inches. a. What proportion of all men will be taller than 6 feet? (Hint: Convert the measurement to inches)

4. Human heights are one of many variables that can be modelled by the normal distribution. Assume the heights of men have a mean of 69 inches with a standard deviation of 3.5 inches. a. What proportion of all men will be taller than 6 feet? (Hint: Convert the measurement to inches)

Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018
Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018
18th Edition
ISBN:9780079039897
Author:Carter
Publisher:Carter
Chapter10: Statistics
Section10.4: Distributions Of Data
Problem 19PFA
See similar textbooks
icon
Related questions
Question
Table of Standard Normal Probabilities for Negative Z-scores Table of Standard Normal Probabilities for Positive Z-scores 0.09 0.5359 0.5753 0.00 0.01 0,02 0.03 0.04 0.05 0.06 0.07 0.08 0.09 0.00 0.01 0.02 0.03 0.04 0.05 0.06 0.07 0.08 0.0003 0.0004 0.0005 0.0002 0.0003 0.5080 0.5478 0.5871 -3.4 0.5160 0.5279 0.0003 0.0005 0.0007 0.0003 0.0005 0,0003 0,0005 0.0006 0.0003 0.0003 0.0003 0.0004 0.0003 0.0004 0.0003 0.0 0.5000 0.5040 0.5120 0.5517 0.5199 0.5239 0.5636 0.5319 05714 -3.3 0.0004 0.0004 0.0004 0.1 0.5398 0.5438 0.5557 0.5596 0.5675 0.0005 0.0005 0.5832 0.5910 0.5987 0.6103 -3.2 -3.1 0.0007 0.0006 0.0006 0.0006 0.0006 0.2 0.5793 0.5948 0.6026 0.6064 0.6141 0.0010 0.0013 0.0009 0.0009 0.0009 0.0008 0.0008 0.0011 0.0008 0.0008 0.0011 0.0015 0.0021 0.0028 0.0007 0.0010 0.0007 0.3 0.6179 0.6554 0.6217 0.6591 0.6255 0.6628 0.6293 0.6331 0.6700 0.6368 0.6736 0.6406 0.6772 0.6443 0.6808 0.7157 0.7486 0.6480 0.6517 -3.0 0.0013 0.0013 0.0012 0.0012 0.0011 0.0010 0.4 0.6664 0.6844 0.6879 0.0017 0.0023 0.0032 0.0014 0.0020 0.0027 0.7190 0.7517 0.7823 -2.9 0.0019 0.0018 0.0018 0.0016 0.0016 0.0015 0.0014 0.5 0.6915 0.6950 0.6985 0.7019 0.7054 0.7088 0.7123 0.7224 0.0026 0.0035 0.0025 0.0034 0.0024 0.0033 0.0023 0.0031 0.0022 0.0030 0.0019 0.0026 0.7291 0.7611 0.7324 0.7642 0.7357 0.7673 0.7422 0.7734 0.7389 0.7454 0.7549 0.7852 -2.8 0.0021 0.0029 0.6 0.7257 -2.7 0.7 0.7580 0.7704 0.7764 0.7794 0.0045 0.0060 0.0044 0.0059 0.0040 0.0054 0.0038 0.0051 0.7939 0.8212 0.7995 0.8264 0.8106 0.8365 -2.6 0.0047 0.0043 0.0057 0.0041 0.0055 0.0039 0.0037 0.0036 0.8 0.7881 0.7910 0.8186 0.7967 0.8238 0.8023 0.8289 0.8051 0.8315 0.8078 0.8340 0.8133 0.8389 -2.5 0.0062 0.0052 0.0049 0.0048 0.9 0.8159 -2.4 0.0082 0.0080 0.0078 0.0075 0.0073 0.0071 0.0069 0.0068 0.0066 0.0064 1.0 0.8413 0.8438 0.8461 0.8485 0.8508 0.8531 0.8554 0.8577 0.8599 0.8621 -2.3 -2.2 0.0107 0.0139 0.0104 0.0136 0.0102 0.0132 0.0170 0.0099 0.0129 1.1 1.2 0.0096 0.0094 0.0091 0.0119 0.0089 0.0116 0.0087 0.0113 0.0084 0.8643 0.8849 0.9032 0.8665 0.8869 0.9049 0.8686 0.8888 0.8708 0.8907 0.9082 0.8729 0.8925 0.8749 0.8770 0.8790 0.8980 0.8810 0.8997 0.8830 0.9015 0.0125 0.0122 0.0110 0.8944 0.9115 0.8962 -2.1 0.0179 0.0174 0.0166 0.0162 0.0158 0.0154 0.0150 0.0146 0.0143 1.3 0.9066 0.9099 0.9131 0.9147 0.9162 0.9177 -2.0 0.0228 0.0222 0.0281 0.0217 0.0274 0.0212 0.0268 0.0207 0.0202 0.0256 0.0197 0.0192 0.0244 0.0307 0.0188 0.0239 0.0183 0.0233 1.4 1.5 0.9192 0.9332 0.9207 0.9222 0.9357 0.9236 0.9370 0.9251 0.9382 0.9265 0.9279 0.9292 0.9418 0.9306 0.9429 0.9319 0.9441 0.9545 0.9633 0.9706 -1.9 0.0287 0.0262 0.0250 0.9345 0.9394 0.9406 0.033 0.0418 0.0301 0.0375 0.0465 0.9452 0.9554 0.9641 -1.8 0.0359 0.0322 0.0351 0.0436 0.0344 0.0329 0.0314 0.0294 1.6 0.9463 0.9474 0.9484 0.9495 0.9505 0.9515 0.9525 0.9535 -1.7 -1.6 0.0427 0.0526 0.9591 0.9671 0.9616 0.9693 0.9625 0.9699 0.0446 0.0409 0.0505 0.0401 0.0392 0.0384 0.0367 1.7 1.8 0.9564 0.9649 0.9573 0.9656 0.9582 0.9664 0.9599 0.9678 0.9608 0.0548 0.0537 0.0516 0.0495 0.0485 0.0475 0.0455 0.9686 -1.5 0.0668 0.0655 0.0643 0.0630 0.0618 0.0606 0.0594 0.0582 0.0571 0.0559 1.9 0.9713 0.9719 0.9726 0.9732 0.9738 0.9744 0.9750 0.9756 0.9761 0.9767 -1.4 -1.3 0.0764 0.0918 0.0721 0.0869 0.0708 0.0853 0.9798 0.9842 0.0808 0.0793 0.0951 0.0778 0.0934 0.0749 0.0901 0.1075 0.1271 0.0735 0.0885 0.0694 0.0681 0.0823 2.0 2.1 0.9772 0.9821 0.9778 0.9826 0.9864 0.9896 0.9920 0.9783 0.9830 0.9788 0.9834 0.9793 0.9838 0.9803 0.9808 0.9812 0.9854 0.9817 0.9857 0.0968 0.0838 0.9846 0.9850 0.1038 0,1230 -1.2 0.1151 0.1357 0.1131 0.1335 0.1112 0,1314 0.1093 0.1056 0.1251 0.1020 0.1003 0.1190 0.0985 0.1170 2.2 2.3 0.9861 0.9893 0.9868 0.9871 0.9875 0.9878 0.9906 0.9881 0.9909 0.9884 0.9911 0.9887 0.9913 0.9890 0.9916 -1.1 0.1292 0.1515 0.1210 0.1423 0.9898 0.9901 0.9904 -1.0 0.1587 0.1562 0.1539 0.1492 0.1469 0.1446 0.1401 0.1379 2.4 0.9918 0.9922 0.9925 0.9927 0.9929 0.9931 0.9932 0.9934 0.9936 -0.9 -0.8 0.1841 0.2119 0.1814 0.2090 0.1788 0.2061 0.1762 0.2033 0.1736 0.2005 0.1711 0.1977 0.1685 0.1949 0.1660 0.1922 0.1635 0.1894 0.1611 0.1867 2.5 2.6 0.9938 0.9953 0.9940 0.9955 0.9966 0.9941 0.9956 0.9943 0.9957 0.9945 0.9959 0.9946 0.9948 0.9949 0.9951 0.9963 0.9952 0.9964 0.9960 0.9961 0.9962 0.9972 0.2420 0.2743 0.3085 0.2358 0.2676 0.3015 0.2327 0.2643 0.2981 0.2266 0.2578 0.2912 0.9970 0.9978 0.9984 0.2389 0.2206 0.2177 0.2483 0.2810 0.2148 0.2451 0.2776 -0.7 0.2296 0.2236 2.7 0.9965 0.9967 0.9968 0.9973 0.9969 0.9977 0.9971 0.9974 0.2709 0.3050 0.2611 0.2946 0.2546 0.2877 0.2514 0.2843 0.9974 0.9981 0.9975 0.9982 0.9977 0.9983 0.9979 0.9985 0.9979 -0.6 -0.5 2.8 2.9 0.9980 0.9986 0.9976 0.9981 0.9982 0.9984 0.9985 0.9986 0.3192 0.3557 0.3936 0.9987 0.9991 0.9993 0.3372 0.3228 0.3594 0.3974 -0.4 0.3446 0.3409 0.3336 0.3300 0.3264 0,3156 0,3121 3.0 0.9987 0.9987 0.9988 0.9988 0.9989 0.9989 0.9989 0.9990 0.9990 0.3783 0.4168 0.3707 0.4090 0.3632 0.4013 0.3520 0.3897 0.9991 0.9994 0.9992 0.9994 0.9992 -0.3 -0.2 0.3821 0.4207 0.3745 0.4129 0.3669 0.4052 0.3483 0.3859 3.1 3.2 0.9990 0.9993 0.9991 0.9994 0.9992 0.9992 0.9995 0.9993 0.9995 0.9993 0.9995 0.9994 0.9994 -0.1 -0.0 0.4602 0.5000 0.4562 0.4960 0.4522 0.4920 0.4483 0.4880 0.4443 0.4840 0.4404 0.4801 0.4364 0.4761 0.4325 0.4721 0.4286 0.4681 0.4247 0.4641 3.3 3.4 0.9995 0.9995 0.9997 0.9997 0.9995 0.9997 0.9996 0.9997 0.9996 0.9997 0.9996 0.9997 0.9996 0.9997 0.9996 0.9997 0.9996 0.9997 0.9997 0.9998
Transcribed Image Text:Table of Standard Normal Probabilities for Negative Z-scores Table of Standard Normal Probabilities for Positive Z-scores 0.09 0.5359 0.5753 0.00 0.01 0,02 0.03 0.04 0.05 0.06 0.07 0.08 0.09 0.00 0.01 0.02 0.03 0.04 0.05 0.06 0.07 0.08 0.0003 0.0004 0.0005 0.0002 0.0003 0.5080 0.5478 0.5871 -3.4 0.5160 0.5279 0.0003 0.0005 0.0007 0.0003 0.0005 0,0003 0,0005 0.0006 0.0003 0.0003 0.0003 0.0004 0.0003 0.0004 0.0003 0.0 0.5000 0.5040 0.5120 0.5517 0.5199 0.5239 0.5636 0.5319 05714 -3.3 0.0004 0.0004 0.0004 0.1 0.5398 0.5438 0.5557 0.5596 0.5675 0.0005 0.0005 0.5832 0.5910 0.5987 0.6103 -3.2 -3.1 0.0007 0.0006 0.0006 0.0006 0.0006 0.2 0.5793 0.5948 0.6026 0.6064 0.6141 0.0010 0.0013 0.0009 0.0009 0.0009 0.0008 0.0008 0.0011 0.0008 0.0008 0.0011 0.0015 0.0021 0.0028 0.0007 0.0010 0.0007 0.3 0.6179 0.6554 0.6217 0.6591 0.6255 0.6628 0.6293 0.6331 0.6700 0.6368 0.6736 0.6406 0.6772 0.6443 0.6808 0.7157 0.7486 0.6480 0.6517 -3.0 0.0013 0.0013 0.0012 0.0012 0.0011 0.0010 0.4 0.6664 0.6844 0.6879 0.0017 0.0023 0.0032 0.0014 0.0020 0.0027 0.7190 0.7517 0.7823 -2.9 0.0019 0.0018 0.0018 0.0016 0.0016 0.0015 0.0014 0.5 0.6915 0.6950 0.6985 0.7019 0.7054 0.7088 0.7123 0.7224 0.0026 0.0035 0.0025 0.0034 0.0024 0.0033 0.0023 0.0031 0.0022 0.0030 0.0019 0.0026 0.7291 0.7611 0.7324 0.7642 0.7357 0.7673 0.7422 0.7734 0.7389 0.7454 0.7549 0.7852 -2.8 0.0021 0.0029 0.6 0.7257 -2.7 0.7 0.7580 0.7704 0.7764 0.7794 0.0045 0.0060 0.0044 0.0059 0.0040 0.0054 0.0038 0.0051 0.7939 0.8212 0.7995 0.8264 0.8106 0.8365 -2.6 0.0047 0.0043 0.0057 0.0041 0.0055 0.0039 0.0037 0.0036 0.8 0.7881 0.7910 0.8186 0.7967 0.8238 0.8023 0.8289 0.8051 0.8315 0.8078 0.8340 0.8133 0.8389 -2.5 0.0062 0.0052 0.0049 0.0048 0.9 0.8159 -2.4 0.0082 0.0080 0.0078 0.0075 0.0073 0.0071 0.0069 0.0068 0.0066 0.0064 1.0 0.8413 0.8438 0.8461 0.8485 0.8508 0.8531 0.8554 0.8577 0.8599 0.8621 -2.3 -2.2 0.0107 0.0139 0.0104 0.0136 0.0102 0.0132 0.0170 0.0099 0.0129 1.1 1.2 0.0096 0.0094 0.0091 0.0119 0.0089 0.0116 0.0087 0.0113 0.0084 0.8643 0.8849 0.9032 0.8665 0.8869 0.9049 0.8686 0.8888 0.8708 0.8907 0.9082 0.8729 0.8925 0.8749 0.8770 0.8790 0.8980 0.8810 0.8997 0.8830 0.9015 0.0125 0.0122 0.0110 0.8944 0.9115 0.8962 -2.1 0.0179 0.0174 0.0166 0.0162 0.0158 0.0154 0.0150 0.0146 0.0143 1.3 0.9066 0.9099 0.9131 0.9147 0.9162 0.9177 -2.0 0.0228 0.0222 0.0281 0.0217 0.0274 0.0212 0.0268 0.0207 0.0202 0.0256 0.0197 0.0192 0.0244 0.0307 0.0188 0.0239 0.0183 0.0233 1.4 1.5 0.9192 0.9332 0.9207 0.9222 0.9357 0.9236 0.9370 0.9251 0.9382 0.9265 0.9279 0.9292 0.9418 0.9306 0.9429 0.9319 0.9441 0.9545 0.9633 0.9706 -1.9 0.0287 0.0262 0.0250 0.9345 0.9394 0.9406 0.033 0.0418 0.0301 0.0375 0.0465 0.9452 0.9554 0.9641 -1.8 0.0359 0.0322 0.0351 0.0436 0.0344 0.0329 0.0314 0.0294 1.6 0.9463 0.9474 0.9484 0.9495 0.9505 0.9515 0.9525 0.9535 -1.7 -1.6 0.0427 0.0526 0.9591 0.9671 0.9616 0.9693 0.9625 0.9699 0.0446 0.0409 0.0505 0.0401 0.0392 0.0384 0.0367 1.7 1.8 0.9564 0.9649 0.9573 0.9656 0.9582 0.9664 0.9599 0.9678 0.9608 0.0548 0.0537 0.0516 0.0495 0.0485 0.0475 0.0455 0.9686 -1.5 0.0668 0.0655 0.0643 0.0630 0.0618 0.0606 0.0594 0.0582 0.0571 0.0559 1.9 0.9713 0.9719 0.9726 0.9732 0.9738 0.9744 0.9750 0.9756 0.9761 0.9767 -1.4 -1.3 0.0764 0.0918 0.0721 0.0869 0.0708 0.0853 0.9798 0.9842 0.0808 0.0793 0.0951 0.0778 0.0934 0.0749 0.0901 0.1075 0.1271 0.0735 0.0885 0.0694 0.0681 0.0823 2.0 2.1 0.9772 0.9821 0.9778 0.9826 0.9864 0.9896 0.9920 0.9783 0.9830 0.9788 0.9834 0.9793 0.9838 0.9803 0.9808 0.9812 0.9854 0.9817 0.9857 0.0968 0.0838 0.9846 0.9850 0.1038 0,1230 -1.2 0.1151 0.1357 0.1131 0.1335 0.1112 0,1314 0.1093 0.1056 0.1251 0.1020 0.1003 0.1190 0.0985 0.1170 2.2 2.3 0.9861 0.9893 0.9868 0.9871 0.9875 0.9878 0.9906 0.9881 0.9909 0.9884 0.9911 0.9887 0.9913 0.9890 0.9916 -1.1 0.1292 0.1515 0.1210 0.1423 0.9898 0.9901 0.9904 -1.0 0.1587 0.1562 0.1539 0.1492 0.1469 0.1446 0.1401 0.1379 2.4 0.9918 0.9922 0.9925 0.9927 0.9929 0.9931 0.9932 0.9934 0.9936 -0.9 -0.8 0.1841 0.2119 0.1814 0.2090 0.1788 0.2061 0.1762 0.2033 0.1736 0.2005 0.1711 0.1977 0.1685 0.1949 0.1660 0.1922 0.1635 0.1894 0.1611 0.1867 2.5 2.6 0.9938 0.9953 0.9940 0.9955 0.9966 0.9941 0.9956 0.9943 0.9957 0.9945 0.9959 0.9946 0.9948 0.9949 0.9951 0.9963 0.9952 0.9964 0.9960 0.9961 0.9962 0.9972 0.2420 0.2743 0.3085 0.2358 0.2676 0.3015 0.2327 0.2643 0.2981 0.2266 0.2578 0.2912 0.9970 0.9978 0.9984 0.2389 0.2206 0.2177 0.2483 0.2810 0.2148 0.2451 0.2776 -0.7 0.2296 0.2236 2.7 0.9965 0.9967 0.9968 0.9973 0.9969 0.9977 0.9971 0.9974 0.2709 0.3050 0.2611 0.2946 0.2546 0.2877 0.2514 0.2843 0.9974 0.9981 0.9975 0.9982 0.9977 0.9983 0.9979 0.9985 0.9979 -0.6 -0.5 2.8 2.9 0.9980 0.9986 0.9976 0.9981 0.9982 0.9984 0.9985 0.9986 0.3192 0.3557 0.3936 0.9987 0.9991 0.9993 0.3372 0.3228 0.3594 0.3974 -0.4 0.3446 0.3409 0.3336 0.3300 0.3264 0,3156 0,3121 3.0 0.9987 0.9987 0.9988 0.9988 0.9989 0.9989 0.9989 0.9990 0.9990 0.3783 0.4168 0.3707 0.4090 0.3632 0.4013 0.3520 0.3897 0.9991 0.9994 0.9992 0.9994 0.9992 -0.3 -0.2 0.3821 0.4207 0.3745 0.4129 0.3669 0.4052 0.3483 0.3859 3.1 3.2 0.9990 0.9993 0.9991 0.9994 0.9992 0.9992 0.9995 0.9993 0.9995 0.9993 0.9995 0.9994 0.9994 -0.1 -0.0 0.4602 0.5000 0.4562 0.4960 0.4522 0.4920 0.4483 0.4880 0.4443 0.4840 0.4404 0.4801 0.4364 0.4761 0.4325 0.4721 0.4286 0.4681 0.4247 0.4641 3.3 3.4 0.9995 0.9995 0.9997 0.9997 0.9995 0.9997 0.9996 0.9997 0.9996 0.9997 0.9996 0.9997 0.9996 0.9997 0.9996 0.9997 0.9996 0.9997 0.9997 0.9998
4. Human heights are one of many variables that can be modelled by the normal distribution. Assume the heights of men have a mean of 69 inches with a standard deviation of 3.5 inches. a. What proportion of all men will be taller than 6 feet? (Hint: Convert the measurement to inches) b. What is the probability that selected man will be between 5'8" and 6'1' tall?
Transcribed Image Text:4. Human heights are one of many variables that can be modelled by the normal distribution. Assume the heights of men have a mean of 69 inches with a standard deviation of 3.5 inches. a. What proportion of all men will be taller than 6 feet? (Hint: Convert the measurement to inches) b. What is the probability that selected man will be between 5'8" and 6'1' tall?
Expert Solution
steps

Step by step

Solved in 2 steps with 2 images

SEE SOLUTIONCheck out a sample Q&A here
Blurred answer
Recommended textbooks for you
Glencoe Algebra 1, Student Edition, 9780079039897…
Glencoe Algebra 1, Student Edition, 9780079039897…
Algebra
ISBN:
9780079039897
Author:
Carter
Publisher:
McGraw Hill
SEE MORE TEXTBOOKS