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MATLAB: An Introduction with Applications
MATLAB: An Introduction with Applications
6th Edition
ISBN:9781119256830
Author:Amos Gilat
Publisher:Amos Gilat
Chapter1: Starting With Matlab
Section: Chapter Questions
Problem 1P
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Question
100%
Find the area of the shaded region. The graph to the right depicts IQ scores of adults, and those scores are normally distributed with a mean of 100 and a standard deviation of 15.
Standard Normal Table (Page 2) z 0.0 ៩៩៩ ៨៩៤ ៩ ជ ន ៨៩៖ ៖ ន ទ ន 9 8 0.2 0.3 0.4 0.5 0.6 0.7 0.8 21 2.2 2.3 24 2.5 26 2.7 2.8 2.9 3.0 3.1 3.2 3.3 Standard Normal (2) Distribution: Cumulative Area from the LEFT .00 5000 5398 5793 6179 6554 6915 7257 7580 7881 8159 8413 8643 8849 9032 9192 9332 3.4 3.50 and up 9452 9554 9641 9713 9772 9821 01 5040 5438 5832 6217 6591 6950 7291 7611 7910 8186 8438 8665 8869 9049 9207 9345 9463 9564 9649 9861 9893 9918 9938 9953 9965 9974 9981 9987 9990 9993 9995 9997 9999 9719 9778 9826 9864 9896 9920 9940 9955 9966 9975 9982 9987 .02 5080 5478 z score Area 1.645 0.9500 2.575 0.9950 5871 6255 6628 6985 7324 7642 7939 8212 8461 8686 8888 9066 9222 9991 9993 9995 9997 9357 9474 9573 9656 .9726 9783 9830 9868 9898 9922 9941 9956 9967 9976 9982 9987 POSITIVE Z Scores 9991 9994 9995 9997 .03 5120 5517 5910 6293 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 .04 5160 5199 5557 5596 5948 5987 6331 6368 6700 6736 .7054 7088 7389 7422 7734 8023 8289 .8531 8749 8944 9115 9265 9394 9495. 9505 .9599 .9678 9744 7704 7995 8264 .8508 8729 8925 9099 9251 9382 .9591 9671 9738 9793 .9838 .9875 .9904 .9927 9945 9959 9969 .9977 9984 .9988 9992 9994 9996 .9997 NOTE: For values of z above 3.49, use 0.9999 for the area. "Use these common values that result from interpolation: .05 .9798 .9842 9878 .9906 9929 9946 9960 .9970 9978 9984 9989 9992 9994 9996 9997 .06 5239 5636 6026 6406 .6772 .7123 7454 .7764 .8051 .8315 .8554 8770 8962 .9131 .9279 .9406 9515 .9608 .9686 .9750 .9803 .9846 .9881 .9909 .9931 9948 9961 .9971 9979 9985 .9989 .9992 9994 9996 9997 .07 5279 5675 6064 .6443 6808 7157 7486 7794 8078 8340 8577 8790 8980 9147 9292 9418 9525 9616 9693 9756 .9808 9850 .9884 .9911 9932 9949 9972 9979 9985 9989 9992 08 9995 9996 9997 5319 5714 6103 6480 6844 .7190 7517 7823 8106 8365 .8599 8810 8997 9162 9306 9429 9535 .9625 9699 9761 9812 99629963 9854 .9887 9913 9934 9951 9973 9980 9986 9990 9993 9995 9996 9997 09 5359 5753 6141 6517 6879 7224 .7549 .7852 8133 .8389 .8621 8830 9015 9177 .9319 9441 9545 .9633 9706 .9767 9817 .9857 .9890 9916 9936 9952 9964 .9974 9981 9986 9990 9993 9995 9997 9998 Common Critical Value Confidence | Critical Level Value 0.90 1.645 0.95 1.96 80 115
Transcribed Image Text:Standard Normal Table (Page 2) z 0.0 ៩៩៩ ៨៩៤ ៩ ជ ន ៨៩៖ ៖ ន ទ ន 9 8 0.2 0.3 0.4 0.5 0.6 0.7 0.8 21 2.2 2.3 24 2.5 26 2.7 2.8 2.9 3.0 3.1 3.2 3.3 Standard Normal (2) Distribution: Cumulative Area from the LEFT .00 5000 5398 5793 6179 6554 6915 7257 7580 7881 8159 8413 8643 8849 9032 9192 9332 3.4 3.50 and up 9452 9554 9641 9713 9772 9821 01 5040 5438 5832 6217 6591 6950 7291 7611 7910 8186 8438 8665 8869 9049 9207 9345 9463 9564 9649 9861 9893 9918 9938 9953 9965 9974 9981 9987 9990 9993 9995 9997 9999 9719 9778 9826 9864 9896 9920 9940 9955 9966 9975 9982 9987 .02 5080 5478 z score Area 1.645 0.9500 2.575 0.9950 5871 6255 6628 6985 7324 7642 7939 8212 8461 8686 8888 9066 9222 9991 9993 9995 9997 9357 9474 9573 9656 .9726 9783 9830 9868 9898 9922 9941 9956 9967 9976 9982 9987 POSITIVE Z Scores 9991 9994 9995 9997 .03 5120 5517 5910 6293 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 .04 5160 5199 5557 5596 5948 5987 6331 6368 6700 6736 .7054 7088 7389 7422 7734 8023 8289 .8531 8749 8944 9115 9265 9394 9495. 9505 .9599 .9678 9744 7704 7995 8264 .8508 8729 8925 9099 9251 9382 .9591 9671 9738 9793 .9838 .9875 .9904 .9927 9945 9959 9969 .9977 9984 .9988 9992 9994 9996 .9997 NOTE: For values of z above 3.49, use 0.9999 for the area. "Use these common values that result from interpolation: .05 .9798 .9842 9878 .9906 9929 9946 9960 .9970 9978 9984 9989 9992 9994 9996 9997 .06 5239 5636 6026 6406 .6772 .7123 7454 .7764 .8051 .8315 .8554 8770 8962 .9131 .9279 .9406 9515 .9608 .9686 .9750 .9803 .9846 .9881 .9909 .9931 9948 9961 .9971 9979 9985 .9989 .9992 9994 9996 9997 .07 5279 5675 6064 .6443 6808 7157 7486 7794 8078 8340 8577 8790 8980 9147 9292 9418 9525 9616 9693 9756 .9808 9850 .9884 .9911 9932 9949 9972 9979 9985 9989 9992 08 9995 9996 9997 5319 5714 6103 6480 6844 .7190 7517 7823 8106 8365 .8599 8810 8997 9162 9306 9429 9535 .9625 9699 9761 9812 99629963 9854 .9887 9913 9934 9951 9973 9980 9986 9990 9993 9995 9996 9997 09 5359 5753 6141 6517 6879 7224 .7549 .7852 8133 .8389 .8621 8830 9015 9177 .9319 9441 9545 .9633 9706 .9767 9817 .9857 .9890 9916 9936 9952 9964 .9974 9981 9986 9990 9993 9995 9997 9998 Common Critical Value Confidence | Critical Level Value 0.90 1.645 0.95 1.96 80 115
Standard Normal Table (Page 1) Z NEVATIVEZ <-3.50 and lower -3.4 <-3.3 -3.2 -3.1 -3.0 -2.9 -2.8 -2.7 -26 -2.5 <-24 <-2.3 -22 -2.1 -20 -1.9 -18 -17 -16 -1.5 -14 -1.3 -1.2 -1.1 -1.0 -0.9 -0.8 -0.7 -0.6 -0.5 -0.4 -0.3 -0.2 -0.1 -0.0 .00 0001 0003 .0005 0007 0010 0013 0019 .0026 .0035 VL 0047 0062 0082 0107 0139 0179 0228 0287 0359 0446 0548 0668 0808 0968 1151 1357 1587 1841 2119 2420 2743 3085 3446 3821 4207 4602 .5000 Standard Normal (z) Distribution: Cumulative Area from the LEFT .01 0003 .0005 0007 0009 0013 0018 0025 0034 0045 0060 0080 0104 0136 0174 0222 0281 0351 0436 0537 0655 0793 0951 1131 1335 1562 1814 z score Area -1.645 0.0500 -2.575 0.0050 2090 2389 2709 3050 3409 3783 4168 4562 4960 2 JU 02 .0003 .0005 .0006 0009 0013 .0018 CUISS 0024 .0033 0044 0059 0078 0102 .0132 0170 0217 0274 .0344 0427 0526 0643 0778 0934 1112 1314 1539 1788 2061 2358 2676 3015 3372 3745 4129 4522 4920 .03 .0003 .0004 .0006 .0009 .0012 0017 .0023 .0032 0043 0057 0075 .0099 0129 .0166 0212 0268 0336 0418 0516 0630 0764 0918 1093 1292 1515 1762 2033 2327 2643 2981 3336 3707 4090 4483 4880 .04 .0003 0004 .0006 0008 0012 0016 0023 0031 0041 0055 0073 0096 0125 0162 0207 0262 0329 0409 0505 0618 0749 0901 1075 .1271 1492 1736 2005 2296 2611 2946 .3300 3669 4052 .4443 4840 NOTE: For values of z below -3.49, use 0.0001 for the area. Use these common values that result from interpolation: .05 .0003 .0004 .0006 .0008 .0011 .0016 .0022 .0030 ,0040 .0054 .0071 .0094 0122 .0158 .0202 .0256 .0322 .0401 * .0495 .0606 .0735 .0885 1056 1251 .1469 1711 1977 2266 2578 2912 3264 .3632 4013 .4404 4801 .06 0003 0004 0006 0008 0011 .0015 0021 .0029 0039 0052 0069 0091 0119 0154 0197 .0250 0314 0392 0485 0594 0721 0869 1038 1230 1446 1685 1949 2236 2546 2877 Z 3228 3594 3974 4364 4761 .07 0003 .0004 .0005 .0008 .0011 .0015 .0021 .0028 0038 .0051 .0068 .0089 .0116 .0150 0192 .0244 .0307 .0384 .0475 0582 .0708 0853 1020 1210 1423 1660 1922 2206 2514 2843 0 3192 .3557 .3936 4325 .4721 .08 0003 0004 .0005 0007 0010 .0014 .0020 0027 .0037 . 0049 .0066 0087 0113 0146 .0188 0239 .0301 .0375 0465 .0571 0694 0838 1003 1190 1401 1635 1894 2177 2483 2810 3156 3520 3897 4286 4681 .09 .0002 .0003 0005 0007 0010 .0014 0019 .0026 .0036 .0048 .0064 0084 0110 .0143 .0183 0233 0294 0367 0455 0559 0681 0823 0985 1170 1379 1611 1867 2148 2451 2776 3121 3483 3859 ,4247 4641
Transcribed Image Text:Standard Normal Table (Page 1) Z NEVATIVEZ <-3.50 and lower -3.4 <-3.3 -3.2 -3.1 -3.0 -2.9 -2.8 -2.7 -26 -2.5 <-24 <-2.3 -22 -2.1 -20 -1.9 -18 -17 -16 -1.5 -14 -1.3 -1.2 -1.1 -1.0 -0.9 -0.8 -0.7 -0.6 -0.5 -0.4 -0.3 -0.2 -0.1 -0.0 .00 0001 0003 .0005 0007 0010 0013 0019 .0026 .0035 VL 0047 0062 0082 0107 0139 0179 0228 0287 0359 0446 0548 0668 0808 0968 1151 1357 1587 1841 2119 2420 2743 3085 3446 3821 4207 4602 .5000 Standard Normal (z) Distribution: Cumulative Area from the LEFT .01 0003 .0005 0007 0009 0013 0018 0025 0034 0045 0060 0080 0104 0136 0174 0222 0281 0351 0436 0537 0655 0793 0951 1131 1335 1562 1814 z score Area -1.645 0.0500 -2.575 0.0050 2090 2389 2709 3050 3409 3783 4168 4562 4960 2 JU 02 .0003 .0005 .0006 0009 0013 .0018 CUISS 0024 .0033 0044 0059 0078 0102 .0132 0170 0217 0274 .0344 0427 0526 0643 0778 0934 1112 1314 1539 1788 2061 2358 2676 3015 3372 3745 4129 4522 4920 .03 .0003 .0004 .0006 .0009 .0012 0017 .0023 .0032 0043 0057 0075 .0099 0129 .0166 0212 0268 0336 0418 0516 0630 0764 0918 1093 1292 1515 1762 2033 2327 2643 2981 3336 3707 4090 4483 4880 .04 .0003 0004 .0006 0008 0012 0016 0023 0031 0041 0055 0073 0096 0125 0162 0207 0262 0329 0409 0505 0618 0749 0901 1075 .1271 1492 1736 2005 2296 2611 2946 .3300 3669 4052 .4443 4840 NOTE: For values of z below -3.49, use 0.0001 for the area. Use these common values that result from interpolation: .05 .0003 .0004 .0006 .0008 .0011 .0016 .0022 .0030 ,0040 .0054 .0071 .0094 0122 .0158 .0202 .0256 .0322 .0401 * .0495 .0606 .0735 .0885 1056 1251 .1469 1711 1977 2266 2578 2912 3264 .3632 4013 .4404 4801 .06 0003 0004 0006 0008 0011 .0015 0021 .0029 0039 0052 0069 0091 0119 0154 0197 .0250 0314 0392 0485 0594 0721 0869 1038 1230 1446 1685 1949 2236 2546 2877 Z 3228 3594 3974 4364 4761 .07 0003 .0004 .0005 .0008 .0011 .0015 .0021 .0028 0038 .0051 .0068 .0089 .0116 .0150 0192 .0244 .0307 .0384 .0475 0582 .0708 0853 1020 1210 1423 1660 1922 2206 2514 2843 0 3192 .3557 .3936 4325 .4721 .08 0003 0004 .0005 0007 0010 .0014 .0020 0027 .0037 . 0049 .0066 0087 0113 0146 .0188 0239 .0301 .0375 0465 .0571 0694 0838 1003 1190 1401 1635 1894 2177 2483 2810 3156 3520 3897 4286 4681 .09 .0002 .0003 0005 0007 0010 .0014 0019 .0026 .0036 .0048 .0064 0084 0110 .0143 .0183 0233 0294 0367 0455 0559 0681 0823 0985 1170 1379 1611 1867 2148 2451 2776 3121 3483 3859 ,4247 4641
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