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(b) P(x < 65.3) = 0.7088 (Round to four decimal places as needed.) (c) P(x2 63.4) =D(Round to four decimal places as needed.)

(b) P(x < 65.3) = 0.7088 (Round to four decimal places as needed.) (c) P(x2 63.4) =D(Round to four decimal places as needed.)

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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Standard Normal Distribution Table (page 2) Area Standard Nomal Distribution 0.00 0.01 0.02 0.03 0.04 0.05 0.06 0.07 0.08 0.09 0.5000 0.5398 0.5793 0.5040 0.5438 0.5832 0.5080 0.5478 0.5871 0.6255 0.6628 0.5160 0.5557 0.5948 0.6331 0.6700 0.5319 0.5714 0.6103 0.6480 0.6844 05120 0.0 0.1 0.2 0.5517 0.5910 0.6293 0.6664 0.5199 0.5596 0.5987 0.5239 0.5636 0.6026 0.6406 0.6772 0.5279 0.5675 0.6064 0.5359 0.5753 0.6141 0.3 0.4 0.6217 0.6591 0.6368 0.6736 0.6443 0.6808 0.6517 0.6879 0.6179 0.6554 0.6950 0.7291 0.7611 0.7910 0.8186 0.6985 0.7324 0.7642 0,7939 0.8212 0.7019 0,7357 0.7673 0.7967 0.8238 0.7054 0.7389 0.7704 0.7995 0.8264 0.7123 0.7454 0.7764 0.8051 0.8315 0.7224 0,7549 0.7852 0.8133 0.8389 0.5 0.6915 0.7257 0.7580 0.7088 0.7422 0.7734 0.7157 0.7486 0.7794 0.8078 0.8340 0.7190 0,7517 0.7823 0.6 0.7 0.8 0.9 0.7881 0.8159 0.8023 0.8289 0.8106 0.8365 0.8413 0.8643 0.8849 0.9032 0.9192 0.8438 0.8665 0.8869 0.9049 0.9207 0.8461 0.8686 0.8888 0.8485 0.8708 0.8907 0.9082 0.9236 0.8508 0.8729 0.8925 0.8531 0.8749 0.8944 0.8577 0.8790 0,8980 0.9147 0.9292 0,8621 0.8830 0,90 15 0.8554 0,8770 0.8599 1.0 1.1 1.2 0.8810 0.8962 0.9131 0.9279 0.8997 1.3 1.4 0.9066 0.9222 0.9099 0.9251 0.9115 0.9265 0.9162 0.9306 0.9177 0.9319 0.9332 0.9452 0.9554 0.9641 0.9713 0.9345 0.9463 0.9564 0.9649 0.9719 0.9382 0.9495 0.9591 0.9671 0.9738 0.9394 0.9505 0.9599 0.9678 0.9744 0.9418 0.9525 0.9616 0.9429 0.9535 0.9625 0.9699 0.9761 0.9441 0.9545 0.9633 0.9706 0.9767 1.5 0.9357 0.9474 0.9573 0.9656 0.9726 0.9370 0.9484 0.9582 0.9664 0.9732 0.9406 0.9515 0.9608 0.9686 0.9750 1.6 1.7 1.8 1.9 0.9693 0.9756 0.9783 0.9830 0.9868 0.9898 0.9922 2.0 2.1 2.2 0.9772 0.9821 0.9861 0.9778 0.9826 0.9864 0,9788 0.9834 0.9871 0.9793 0.9838 0.9875 0.9798 0.9842 0.9878 0.9803 0.9846 0.9808 0.9850 0.9884 0.9812 0.9854 0.9887 0.9913 0.9934 0.9817 0.9857 0.9890 0.9881 2.3 0.9893 0.9896 0.9901 0.9904 0.9906 0.9909 0.9911 0.9932 0.9916 0.9936 2.4 0.9918 0.9920 0.9925 0.9927 0.9929 0.9931 0.9938 0.9953 0.9965 0.9945 0.9959 0.9969 0.9977 2.5 2.6 2.7 2.8 0.9940 0.9955 0.9966 0.9941 0,9956 0.9967 0,9976 0.9982 0.9943 0.9957 0.9968 0.9977 0.9983 0.9946 0.9960 0.9970 0.9978 0.9984 0.9948 0.9961 0.9971 0.9979 0.9985 0.9949 0.9962 0.9972 0.9979 0.9985 0.9951 0.9963 0.9973 0.9980 0.9986 0.9952 0.9964 0.9974 0.9974 0.9981 0.9975 0.9982 0.9981 0.9986 2.9 0.9984 0.9987 0.9991 0.9993 0.9995 0.9997 0.9988 0.9992 0.9994 0.9996 0.9989 0.9992 0.9995 0.9996 0.9990 0.9993 0.9995 0.9997 0.9998 3.0 0.9987 0.9987 0.9991 0.9994 0.9995 0.9997 0.9988 0.9989 0.9992 0.9991 0.9994 0.9996 0.9989 0.9992 0.9994 0.9996 0.9997 0.9990 0.9993 0.9995 0.9996 0,9997 3.1 0.9990 0.9993 0.9995 0.9994 0.9996 0.9997 3.2 3.3 3.4 0.9997 0.9997 0.9997 0.9997 0.00 0.01 0.02 0.03 0.04 0.05 0.06 0,07 0.08 0.09 Print Done
Transcribed Image Text:Standard Normal Distribution Table (page 2) Area Standard Nomal Distribution 0.00 0.01 0.02 0.03 0.04 0.05 0.06 0.07 0.08 0.09 0.5000 0.5398 0.5793 0.5040 0.5438 0.5832 0.5080 0.5478 0.5871 0.6255 0.6628 0.5160 0.5557 0.5948 0.6331 0.6700 0.5319 0.5714 0.6103 0.6480 0.6844 05120 0.0 0.1 0.2 0.5517 0.5910 0.6293 0.6664 0.5199 0.5596 0.5987 0.5239 0.5636 0.6026 0.6406 0.6772 0.5279 0.5675 0.6064 0.5359 0.5753 0.6141 0.3 0.4 0.6217 0.6591 0.6368 0.6736 0.6443 0.6808 0.6517 0.6879 0.6179 0.6554 0.6950 0.7291 0.7611 0.7910 0.8186 0.6985 0.7324 0.7642 0,7939 0.8212 0.7019 0,7357 0.7673 0.7967 0.8238 0.7054 0.7389 0.7704 0.7995 0.8264 0.7123 0.7454 0.7764 0.8051 0.8315 0.7224 0,7549 0.7852 0.8133 0.8389 0.5 0.6915 0.7257 0.7580 0.7088 0.7422 0.7734 0.7157 0.7486 0.7794 0.8078 0.8340 0.7190 0,7517 0.7823 0.6 0.7 0.8 0.9 0.7881 0.8159 0.8023 0.8289 0.8106 0.8365 0.8413 0.8643 0.8849 0.9032 0.9192 0.8438 0.8665 0.8869 0.9049 0.9207 0.8461 0.8686 0.8888 0.8485 0.8708 0.8907 0.9082 0.9236 0.8508 0.8729 0.8925 0.8531 0.8749 0.8944 0.8577 0.8790 0,8980 0.9147 0.9292 0,8621 0.8830 0,90 15 0.8554 0,8770 0.8599 1.0 1.1 1.2 0.8810 0.8962 0.9131 0.9279 0.8997 1.3 1.4 0.9066 0.9222 0.9099 0.9251 0.9115 0.9265 0.9162 0.9306 0.9177 0.9319 0.9332 0.9452 0.9554 0.9641 0.9713 0.9345 0.9463 0.9564 0.9649 0.9719 0.9382 0.9495 0.9591 0.9671 0.9738 0.9394 0.9505 0.9599 0.9678 0.9744 0.9418 0.9525 0.9616 0.9429 0.9535 0.9625 0.9699 0.9761 0.9441 0.9545 0.9633 0.9706 0.9767 1.5 0.9357 0.9474 0.9573 0.9656 0.9726 0.9370 0.9484 0.9582 0.9664 0.9732 0.9406 0.9515 0.9608 0.9686 0.9750 1.6 1.7 1.8 1.9 0.9693 0.9756 0.9783 0.9830 0.9868 0.9898 0.9922 2.0 2.1 2.2 0.9772 0.9821 0.9861 0.9778 0.9826 0.9864 0,9788 0.9834 0.9871 0.9793 0.9838 0.9875 0.9798 0.9842 0.9878 0.9803 0.9846 0.9808 0.9850 0.9884 0.9812 0.9854 0.9887 0.9913 0.9934 0.9817 0.9857 0.9890 0.9881 2.3 0.9893 0.9896 0.9901 0.9904 0.9906 0.9909 0.9911 0.9932 0.9916 0.9936 2.4 0.9918 0.9920 0.9925 0.9927 0.9929 0.9931 0.9938 0.9953 0.9965 0.9945 0.9959 0.9969 0.9977 2.5 2.6 2.7 2.8 0.9940 0.9955 0.9966 0.9941 0,9956 0.9967 0,9976 0.9982 0.9943 0.9957 0.9968 0.9977 0.9983 0.9946 0.9960 0.9970 0.9978 0.9984 0.9948 0.9961 0.9971 0.9979 0.9985 0.9949 0.9962 0.9972 0.9979 0.9985 0.9951 0.9963 0.9973 0.9980 0.9986 0.9952 0.9964 0.9974 0.9974 0.9981 0.9975 0.9982 0.9981 0.9986 2.9 0.9984 0.9987 0.9991 0.9993 0.9995 0.9997 0.9988 0.9992 0.9994 0.9996 0.9989 0.9992 0.9995 0.9996 0.9990 0.9993 0.9995 0.9997 0.9998 3.0 0.9987 0.9987 0.9991 0.9994 0.9995 0.9997 0.9988 0.9989 0.9992 0.9991 0.9994 0.9996 0.9989 0.9992 0.9994 0.9996 0.9997 0.9990 0.9993 0.9995 0.9996 0,9997 3.1 0.9990 0.9993 0.9995 0.9994 0.9996 0.9997 3.2 3.3 3.4 0.9997 0.9997 0.9997 0.9997 0.00 0.01 0.02 0.03 0.04 0.05 0.06 0,07 0.08 0.09 Print Done
Suppose a simple random sample of size n= 10 is obtained from a population with u = 62 and o = 19. (a) What must be true regarding the distribution of the population in order to use the normal model to compute probabilities regarding the sample mean? Assuming the normal model can be used, describe the sampling distribution x. (b) Assuming the normal model can be used, determine P(x< 65.3). (c) Assuming the normal model can be used, determine P(x2 63.4). Click here to view the standard normal distribution table (page 1). Click here to view the standard normal distribution table (page 2). (a) What must be true regarding the distribution of the population? A. Since the sample size is large enough, the population distribution does not need to be normal. O B. There are no requirements on the shape of the distribution of the population. O C. The population must be normally distributed and the sample size must be large. D. The population must be normally distributed. Assuming the normal model can be used, describe the sampling distribution x. 10 O A. Normal, with u; = 62 and o; = V19 19 *B. Normal, with u; = 62 and o; = V10 Xc. Normal, with u; = 62 and o; = 19 (b) P(x< 65.3) = 0.7088 (Round to four decimal places as needed.) (c) P(x2 63.4) = (Round to four decimal places as needed.) A Standard Normal Distribution Table (page 1) Area Standard Normal Distribution 0.00 0.01 0.02 0.03 0.04 0,05 0.06 0.07 0,08 0,09 -34 -33 -3.2 0.0003 0.0005 0.0007 0.0003 0.0005 0.0006 0.0003 0.0004 0.0006 0.0003 0.0004 0.0003 0.0004 0.0003 0,0004 0.0006 0.0003 0.0004 0.0005 0.0003 0.0004 0.0005 0.0002 0.0003 0.000S 0.0007 0.0010 0.0003 0.0005 0.0007 0.0010 0.0013 0.0006 0.0008 0.0012 0.0006 0.0008 0.0011 0.0008 0.0011 0.0007 0.0010 0.0009 0.0009 0.0013 0.0009 0.0012 0.0008 0.0011 -30 0.0013 -29 -28 -2.7 -26 -2.5 0.0019 0.0026 0.0035 0.0047 0.0062 0.0018 0.0025 0.0034 0.0018 0.0024 0.0033 0.0017 0.0023 0.0032 0.0016 0.0023 0.0031 0.0016 0.0022 0.0030 0.0015 0.0021 0.0029 0.0015 0.0021 0.0028 0.0014 0.0020 0.0027 0.0014 0.0019 0.0026 0.0045 0.0060 0.0044 0.0059 0.0043 0.0057 0.0040 0.0054 0.0039 0.0052 0.0038 0.0051 0.0041 0.0037 0.0049 0.0036 0.0055 0.0048 -24 -2.3 -2.2 0.0078 0.0102 0.0132 0.0170 0.0075 0.0099 0.0129 0.0166 0.0073 0.0096 0.0125 0.0082 0.0107 0.0139 0.0080 0.0104 0.0136 0.0071 0.0094 0.0069 0.0091 0.0119 0.0068 0.0089 0.0116 0.0066 0.0087 0.0113 0.0064 0.0084 0.0110 0.0122 0.0154 0.0197 -2.1 0.0179 0.0174 0.0162 0.0158 0.0150 0.0146 0.0143 -20 0.0228 0.0222 0.0217 0.0212 0.0207 0.0202 0.0192 0.0188 0.0183 0.0287 0.0359 0.0446 0.0281 0.0351 0.0436 0.0274 0.0344 0.0268 0.0336 0.0418 0.0516 0.0630 0.0262 0.0329 0.0409 0.0256 0.0322 0.0401 0.0495 0.0250 0.0314 0.0392 0.0244 0.0307 0.0384 -1.9 -1.8 -1.7 -1.6 0.0239 0.0301 0.0233 0.0294 0.0367 0.0548 0.0668 0.0427 0.0526 0.0643 0.0375 0.0465 0.0537 0.0505 0.0485 0.0594 0.0475 0.0582 0.0455 0.0559 -1.5 0.0655 0.0618 0.0606 0.0571 -14 -13 -1.2 0.0735 0.0885 0.1056 0.1251 0.1460 0.0808 0.0968 0.0793 0.0951 0.1131 0.0778 0.0764 0.0749 0.0721 0.0869 0.1038 0.0708 0.0694 0.0681 0.0934 0.1112 0.0918 0.1093 0.1292 0.1515 0.0901 0.1075 0.1271 0.1492 0.1151 0.1357 0.0853 0.1020 0.0838 0.1003 0.0823 0.0985 0.1170 -1.1 0.1335 0.1314 0.1230 0.1210 0.1423 0.1190 -10 0.1587 0.1562 0.1539 0.1446 0.1401 0.1370 0.1685 0.1949 0.1660 0.1922 -0.9 0.1841 0.1814 0.1788 0.2061 0.2358 0.2676 0.3015 0.1762 0.2033 0.1736 0.1711 0.1635 0.1894 02177 0.2483 0.2810 0.1611 0.1867 02119 0.2420 0.2090 0.2389 0.2709 0.3050 0.2005 0.2296 0.2611 0.2946 0.1977 0.2266 0.2578 0.2912 -0.7 0.2743 0.3085 0.2327 0.2643 0.2981 0.2236 0.2546 0.2877 02206 0.2514 02843 02148 0.2451 0.2776 -06 -0.5 -04 -0.3 0.3446 0.3409 0.3372 0.3745 0.4129 0.4522 0.4920 0.336 0.3707 0.4090 0.3300 0.3669 0.3264 0.3632 0.3228 0.3594 0.3974 0.3192 0.3557 0.3936 0.4325 0.4721 03156 0.3821 0.4207 0.4602 0.5000 03783 0.4168 04562 0.3520 0.3897 0.4286 0.4681 0.3121 0.3483 0.3859 0.4247 0.4641 -0.2 -0.1 0.4483 0.4880 0.4052 0.4443 0.4840 0.4013 0.4404 0.4801 0.4364 0.4761 -00 0.4960 0.00 0.01 0.02 0.03 0.04 0.05 0.06 0.07 0,08 0.09
Transcribed Image Text:Suppose a simple random sample of size n= 10 is obtained from a population with u = 62 and o = 19. (a) What must be true regarding the distribution of the population in order to use the normal model to compute probabilities regarding the sample mean? Assuming the normal model can be used, describe the sampling distribution x. (b) Assuming the normal model can be used, determine P(x< 65.3). (c) Assuming the normal model can be used, determine P(x2 63.4). Click here to view the standard normal distribution table (page 1). Click here to view the standard normal distribution table (page 2). (a) What must be true regarding the distribution of the population? A. Since the sample size is large enough, the population distribution does not need to be normal. O B. There are no requirements on the shape of the distribution of the population. O C. The population must be normally distributed and the sample size must be large. D. The population must be normally distributed. Assuming the normal model can be used, describe the sampling distribution x. 10 O A. Normal, with u; = 62 and o; = V19 19 *B. Normal, with u; = 62 and o; = V10 Xc. Normal, with u; = 62 and o; = 19 (b) P(x< 65.3) = 0.7088 (Round to four decimal places as needed.) (c) P(x2 63.4) = (Round to four decimal places as needed.) A Standard Normal Distribution Table (page 1) Area Standard Normal Distribution 0.00 0.01 0.02 0.03 0.04 0,05 0.06 0.07 0,08 0,09 -34 -33 -3.2 0.0003 0.0005 0.0007 0.0003 0.0005 0.0006 0.0003 0.0004 0.0006 0.0003 0.0004 0.0003 0.0004 0.0003 0,0004 0.0006 0.0003 0.0004 0.0005 0.0003 0.0004 0.0005 0.0002 0.0003 0.000S 0.0007 0.0010 0.0003 0.0005 0.0007 0.0010 0.0013 0.0006 0.0008 0.0012 0.0006 0.0008 0.0011 0.0008 0.0011 0.0007 0.0010 0.0009 0.0009 0.0013 0.0009 0.0012 0.0008 0.0011 -30 0.0013 -29 -28 -2.7 -26 -2.5 0.0019 0.0026 0.0035 0.0047 0.0062 0.0018 0.0025 0.0034 0.0018 0.0024 0.0033 0.0017 0.0023 0.0032 0.0016 0.0023 0.0031 0.0016 0.0022 0.0030 0.0015 0.0021 0.0029 0.0015 0.0021 0.0028 0.0014 0.0020 0.0027 0.0014 0.0019 0.0026 0.0045 0.0060 0.0044 0.0059 0.0043 0.0057 0.0040 0.0054 0.0039 0.0052 0.0038 0.0051 0.0041 0.0037 0.0049 0.0036 0.0055 0.0048 -24 -2.3 -2.2 0.0078 0.0102 0.0132 0.0170 0.0075 0.0099 0.0129 0.0166 0.0073 0.0096 0.0125 0.0082 0.0107 0.0139 0.0080 0.0104 0.0136 0.0071 0.0094 0.0069 0.0091 0.0119 0.0068 0.0089 0.0116 0.0066 0.0087 0.0113 0.0064 0.0084 0.0110 0.0122 0.0154 0.0197 -2.1 0.0179 0.0174 0.0162 0.0158 0.0150 0.0146 0.0143 -20 0.0228 0.0222 0.0217 0.0212 0.0207 0.0202 0.0192 0.0188 0.0183 0.0287 0.0359 0.0446 0.0281 0.0351 0.0436 0.0274 0.0344 0.0268 0.0336 0.0418 0.0516 0.0630 0.0262 0.0329 0.0409 0.0256 0.0322 0.0401 0.0495 0.0250 0.0314 0.0392 0.0244 0.0307 0.0384 -1.9 -1.8 -1.7 -1.6 0.0239 0.0301 0.0233 0.0294 0.0367 0.0548 0.0668 0.0427 0.0526 0.0643 0.0375 0.0465 0.0537 0.0505 0.0485 0.0594 0.0475 0.0582 0.0455 0.0559 -1.5 0.0655 0.0618 0.0606 0.0571 -14 -13 -1.2 0.0735 0.0885 0.1056 0.1251 0.1460 0.0808 0.0968 0.0793 0.0951 0.1131 0.0778 0.0764 0.0749 0.0721 0.0869 0.1038 0.0708 0.0694 0.0681 0.0934 0.1112 0.0918 0.1093 0.1292 0.1515 0.0901 0.1075 0.1271 0.1492 0.1151 0.1357 0.0853 0.1020 0.0838 0.1003 0.0823 0.0985 0.1170 -1.1 0.1335 0.1314 0.1230 0.1210 0.1423 0.1190 -10 0.1587 0.1562 0.1539 0.1446 0.1401 0.1370 0.1685 0.1949 0.1660 0.1922 -0.9 0.1841 0.1814 0.1788 0.2061 0.2358 0.2676 0.3015 0.1762 0.2033 0.1736 0.1711 0.1635 0.1894 02177 0.2483 0.2810 0.1611 0.1867 02119 0.2420 0.2090 0.2389 0.2709 0.3050 0.2005 0.2296 0.2611 0.2946 0.1977 0.2266 0.2578 0.2912 -0.7 0.2743 0.3085 0.2327 0.2643 0.2981 0.2236 0.2546 0.2877 02206 0.2514 02843 02148 0.2451 0.2776 -06 -0.5 -04 -0.3 0.3446 0.3409 0.3372 0.3745 0.4129 0.4522 0.4920 0.336 0.3707 0.4090 0.3300 0.3669 0.3264 0.3632 0.3228 0.3594 0.3974 0.3192 0.3557 0.3936 0.4325 0.4721 03156 0.3821 0.4207 0.4602 0.5000 03783 0.4168 04562 0.3520 0.3897 0.4286 0.4681 0.3121 0.3483 0.3859 0.4247 0.4641 -0.2 -0.1 0.4483 0.4880 0.4052 0.4443 0.4840 0.4013 0.4404 0.4801 0.4364 0.4761 -00 0.4960 0.00 0.01 0.02 0.03 0.04 0.05 0.06 0.07 0,08 0.09
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