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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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TABLE A Standard Normal probabilities .00 .01 .02 .03 .04 .05 .06 .07 .08 .09 -3.4 .0003 .0003 .0003 .0003 .0003 .0003 .0003 .0003 .0003 .0002 .0004 .0005 .0007 -3.3 .0005 .0005 .0004 .0004 .0004 .0004 .0004 .0003 -3.2 .0007 .0006 .0006 .0006 .0006 .0006 .0005 .0005 .0005 .0007 .0010 -3.1 .0010 .0009 .0009 .0009 .0008 .0008 .0008 .0008 .0007 -3.0 .0013 .0013 .0013 .0012 .0012 .0011 .0011 .0011 .0010 -2.9 .0019 .0018 .0018 .0017 .0016 .0016 .0015 .0015 .0014 .0014 .0025 .0034 -2.8 .0026 .0024 .0023 .0023 .0022 .0021 .0021 .0020 .0019 -2.7 .0035 .0033 .0032 .0031 .0030 .0029 .0028 .0027 .0026 -2.6 .0047 .0045 .0044 .0043 .0041 .0040 .0039 .0038 .0037 .0036 -2.5 .0062 .0060 .0059 .0057 .0055 .0052 .0069 .0054 .0051 .0049 .0048 -2.4 .0082 .0080 .0078 .0075 .0073 .0071 .0068 .0066 .0064 -2.3 .0107 .0104 .0102 .0099 .0096 .0094 .0091 .0089 .0087 .0084 .0132 .0170 -2.2 .0139 .0136 .0129 .0125 .0122 .0119 .0116 .0113 .0110 .0154 .0197 -2.1 .0179 .0174 .0166 .0162 .0158 .0150 .0146 .0143 -2.0 .0228 .0222 .0217 .0212 .0207 .0202 .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 .4013 .4404 .4207 .4168 .4129 .4090 .4052 .3974 .3936 .3859 .4247 -0.2 .3897 -0.1 .4602 .4562 .4522 .4483 .4443 .4364 .4325 .4286 .4960 .4880 .4840 .4801 .5199 -0.0 .5000 .4920 .4761 .4721 .4681 .4641 0.0 .5000 .5040 .5080 .5120 .5160 .5239 .5279 .5319 .5359 0.1 .5398 .5438 .5478 .5517 .5557 .5596 .5636 .5675 .5714 .5753 0.2 .5793 .5832 .5871 .5910 .5948 .5987 .6026 .6064 .6103 .6141 .6217 .6368 .6179 .6554 0.3 .6255 .6293 .6331 .6406 .6443 .6480 .6517 0.4 .6591 .6628 .6664 .6700 .6736 .6772 .6808 .6844 .6879 0.5 .6915 .6950 .6985 .7019 .7054 .7088 .7123 .7157 .7190 .7224 0.6 .7257 .7291 .7324 .7357 .7389 .7422 .7454 .7486 .7517 .7549 0.7 .7580 .7611 .7642 .7673 .7704 .7734 .7764 .7794 .7823 .7852 0.8 .7881 .7910 .7939 .7967 .7995 .8023 .8051 .8078 .8106 .8133 0.9 .8159 .8186 .8212 .8238 .8264 .8289 .8315 .8340 .8365 .8389 1.0 .8413 .8438 .8461 .8485 .8508 .8531 .8554 .8577 .8599 .8621 .8643 .8686 .8729 .8708 .8907 1.1 .8665 .8749 .8770 .8790 .8810 .8830 1.2 .8849 .8869 .8888 .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 .9817 .9857 2.0 .9772 .9778 .9783 .9788 .9793 .9798 .9803 .9808 .9812 2.1 .9821 .9826 .9830 .9834 .9838 .9842 .9846 .9850 .9854 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 .9960 .9970 2.6 .9953 .9955 .9956 .9957 .9959 .9961 .9962 .9963 .9964 2.7 .9965 .9966 .9967 .9968 .9969 .9971 .9972 .9973 .9974 2.8 .9974 .9975 .9976 .9977 .9977 .9978 .9979 .9979 .9980 .9981 2.9 .9981 .9982 .9982 .9983 .9984 .9984 .9985 .9985 .9986 .9986 .9988 .9989 .9992 3.0 .9987 .9987 .9987 .9988 .9989 .9989 .9990 .9990 .9990 .9991 .9992 .9993 .9995 .9993 .9995 3.1 .9991 .9991 .9992 .9992 3.2 .9993 .9993 .9994 .9994 .9994 .9994 .9994 .9995 .9996 .9995 .9997 3.3 .9995 .9995 .9996 .9996 .9996 .9996 .9996 .9997 3.4 .9997 .9997 .9997 .9997 .9997 .9997 .9997 .9997 .9998
Transcribed Image Text:TABLE A Standard Normal probabilities .00 .01 .02 .03 .04 .05 .06 .07 .08 .09 -3.4 .0003 .0003 .0003 .0003 .0003 .0003 .0003 .0003 .0003 .0002 .0004 .0005 .0007 -3.3 .0005 .0005 .0004 .0004 .0004 .0004 .0004 .0003 -3.2 .0007 .0006 .0006 .0006 .0006 .0006 .0005 .0005 .0005 .0007 .0010 -3.1 .0010 .0009 .0009 .0009 .0008 .0008 .0008 .0008 .0007 -3.0 .0013 .0013 .0013 .0012 .0012 .0011 .0011 .0011 .0010 -2.9 .0019 .0018 .0018 .0017 .0016 .0016 .0015 .0015 .0014 .0014 .0025 .0034 -2.8 .0026 .0024 .0023 .0023 .0022 .0021 .0021 .0020 .0019 -2.7 .0035 .0033 .0032 .0031 .0030 .0029 .0028 .0027 .0026 -2.6 .0047 .0045 .0044 .0043 .0041 .0040 .0039 .0038 .0037 .0036 -2.5 .0062 .0060 .0059 .0057 .0055 .0052 .0069 .0054 .0051 .0049 .0048 -2.4 .0082 .0080 .0078 .0075 .0073 .0071 .0068 .0066 .0064 -2.3 .0107 .0104 .0102 .0099 .0096 .0094 .0091 .0089 .0087 .0084 .0132 .0170 -2.2 .0139 .0136 .0129 .0125 .0122 .0119 .0116 .0113 .0110 .0154 .0197 -2.1 .0179 .0174 .0166 .0162 .0158 .0150 .0146 .0143 -2.0 .0228 .0222 .0217 .0212 .0207 .0202 .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 .4013 .4404 .4207 .4168 .4129 .4090 .4052 .3974 .3936 .3859 .4247 -0.2 .3897 -0.1 .4602 .4562 .4522 .4483 .4443 .4364 .4325 .4286 .4960 .4880 .4840 .4801 .5199 -0.0 .5000 .4920 .4761 .4721 .4681 .4641 0.0 .5000 .5040 .5080 .5120 .5160 .5239 .5279 .5319 .5359 0.1 .5398 .5438 .5478 .5517 .5557 .5596 .5636 .5675 .5714 .5753 0.2 .5793 .5832 .5871 .5910 .5948 .5987 .6026 .6064 .6103 .6141 .6217 .6368 .6179 .6554 0.3 .6255 .6293 .6331 .6406 .6443 .6480 .6517 0.4 .6591 .6628 .6664 .6700 .6736 .6772 .6808 .6844 .6879 0.5 .6915 .6950 .6985 .7019 .7054 .7088 .7123 .7157 .7190 .7224 0.6 .7257 .7291 .7324 .7357 .7389 .7422 .7454 .7486 .7517 .7549 0.7 .7580 .7611 .7642 .7673 .7704 .7734 .7764 .7794 .7823 .7852 0.8 .7881 .7910 .7939 .7967 .7995 .8023 .8051 .8078 .8106 .8133 0.9 .8159 .8186 .8212 .8238 .8264 .8289 .8315 .8340 .8365 .8389 1.0 .8413 .8438 .8461 .8485 .8508 .8531 .8554 .8577 .8599 .8621 .8643 .8686 .8729 .8708 .8907 1.1 .8665 .8749 .8770 .8790 .8810 .8830 1.2 .8849 .8869 .8888 .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 .9817 .9857 2.0 .9772 .9778 .9783 .9788 .9793 .9798 .9803 .9808 .9812 2.1 .9821 .9826 .9830 .9834 .9838 .9842 .9846 .9850 .9854 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 .9960 .9970 2.6 .9953 .9955 .9956 .9957 .9959 .9961 .9962 .9963 .9964 2.7 .9965 .9966 .9967 .9968 .9969 .9971 .9972 .9973 .9974 2.8 .9974 .9975 .9976 .9977 .9977 .9978 .9979 .9979 .9980 .9981 2.9 .9981 .9982 .9982 .9983 .9984 .9984 .9985 .9985 .9986 .9986 .9988 .9989 .9992 3.0 .9987 .9987 .9987 .9988 .9989 .9989 .9990 .9990 .9990 .9991 .9992 .9993 .9995 .9993 .9995 3.1 .9991 .9991 .9992 .9992 3.2 .9993 .9993 .9994 .9994 .9994 .9994 .9994 .9995 .9996 .9995 .9997 3.3 .9995 .9995 .9996 .9996 .9996 .9996 .9996 .9997 3.4 .9997 .9997 .9997 .9997 .9997 .9997 .9997 .9997 .9998
6. (19.05) A government sample survey plans to measure the blood cholesterol level of an SRS of men aged 20 to 34. Suppose that in fact the blood cholesterol level of all men aged 20 to 34 follows the Normal distribution with mean u = 186 milligrams per deciliter (mg/dl) and standard deviation s = 41 mg/dl. Use Table A for the following questions, where necessary. eBook Step 1: Choose an SRS of 100 men from this population. What is the sampling distribution of x? (Use the units of mg/dl.) The N(186, 0.41) distribution. O The N(186, 41) distribution. O The N(1.86, 0.41) distribution. O The N(186, 4.1) distribution. Step 2: What is the probability that x takes a value between 183 and 189 mg/dl? This is the probability that x estimates u within +3 mg/dl. O 0.6800 O 0.5346 0.2327 O 0.4654 Step 3: Choose an SRS of 1000 men from this population. Now what is the probability that x falls within ±3 mg/dl of p? Use Table A and give your answer to 3 decimal places.
Transcribed Image Text:6. (19.05) A government sample survey plans to measure the blood cholesterol level of an SRS of men aged 20 to 34. Suppose that in fact the blood cholesterol level of all men aged 20 to 34 follows the Normal distribution with mean u = 186 milligrams per deciliter (mg/dl) and standard deviation s = 41 mg/dl. Use Table A for the following questions, where necessary. eBook Step 1: Choose an SRS of 100 men from this population. What is the sampling distribution of x? (Use the units of mg/dl.) The N(186, 0.41) distribution. O The N(186, 41) distribution. O The N(1.86, 0.41) distribution. O The N(186, 4.1) distribution. Step 2: What is the probability that x takes a value between 183 and 189 mg/dl? This is the probability that x estimates u within +3 mg/dl. O 0.6800 O 0.5346 0.2327 O 0.4654 Step 3: Choose an SRS of 1000 men from this population. Now what is the probability that x falls within ±3 mg/dl of p? Use Table A and give your answer to 3 decimal places.
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