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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? Assumin 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? O 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. OC. The population must be normally distributed and the sample size must be large. O D. The population must be normally distributed.

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? Assumin 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? O 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. OC. The population must be normally distributed and the sample size must be large. O D. The population must be normally distributed.

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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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(x 2 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? O 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. OC. The population must be normally distributed and the sample size must be large. O D. The population must be normally distributed. 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 -32 0.0003 0.000S 0.0007 0.0010 0.0013 0.0003 0.0005 0.0007 0.0003 0.0005 0.0006 0.0003 0.0004 0.0006 0.0003 0.0004 0.0006 0.0003 0.0004 0.0006 0.0003 0.0004 0.0006 0.0003 0.0004 0.0003 0.0004 0.0005 0.0002 0.0003 0.0005 ー1 -3.0 0.0009 0.0013 0.0008 0.0011 0.000S 0.0008 0.0011 0.0009 0.0009 0.0008 0.0008 0.0007 0.0007 0.0013 0.0012 0.0012 0.0011 0.0010 0.0010 0.0018 0.0024 0.0033 0.0044 0.0059 -2.7 -2.6 -2.5 ー29 -28 0.0019 0.0026 0.0035 0.0018 0.0025 0.0034 0.0045 0.0060 0.0017 0.0023 0.0032 0.0043 0.0057 0.0016 0.0023 0.0031 0.0041 0.0055 0.0016 0.0022 0.0030 0.0040 0.0054 0.0015 0.0021 0.0029 0.0039 0.0052 0.0015 0.0021 0.0028 0.0038 0.0051 0.0014 0.0020 0.0027 0.0037 0.0049 0.0014 0.0019 0.0026 0.0047 0.0036 0.0048 0.0062 -24 -2.3 0.0075 0.0099 0.0073 0.0096 0.0071 0.0094 0.0064 0.0084 0.0082 0.0107 0.0139 0.0179 0.0228 0.0080 0.0104 0.0136 0.0078 0.0069 0.0068 0.0089 0.0066 0.0087 -22 -2.1 -2.0 0.0102 0.0132 0.0170 0.0217 0.0091 0.0119 0.0154 0.0197 0.0129 0.0125 0.0162 0.0207 0.0062 0.0122 0.0158 0.0202 0.0116 0.0150 0.0192 0.0113 0.0146 0.0188 0.0110 0.0143 0.0183 0.0174 0.0222 0.0166 0.0212 -1.9 -1.8 -1.7 0.0256 0.0322 0.0401 0.0233 0.0294 0.0367 0.0455 0.0559 0.0287 0.0359 0.0281 0.0351 0.0436 0.0274 0.0344 0.0268 0.0336 0.0418 0.0516 0.0630 0.0250 0.0244 0.0329 0.0409 0.0239 0.0301 0.0375 0.0314 0.0392 0.0485 0.0594 0.0307 0.0384 -1.6 -1.5 0.0446 0.0548 0.0668 0.0537 0.0655 0.0427 0.0526 0.0643 0.0505 0.0618 0.0495 0.0606 0.0475 0.0582 0.0465 0.0571 0.0735 0.0885 0.1056 0.1251 0.1469 -14 0.0808 0.0968 0.0793 0.0951 0.1131 0.1335 0.1562 0.0778 0.0934 0.1112 0.1314 0.1539 0.0764 0.0918 0.1093 0.1292 0.1515 0.0749 0.0721 0.0869 0.1038 0.1230 0.1446 0.0708 0.0853 0.0694 0.0838 0.0681 0.0823 0.0985 0.1170 0.1379 -1.3 -1.2 0.1151 0.1357 0.1587 0.0901 0.1075 0.1271 0.1020 0.1210 0.1423 0.1003 -1.1 -1.0 0.1190 0.1401 0.1492 0.1841 02119 0.2420 02743 0.3085 0.1814 0.2090 0.2389 0.1788 0.2061 0.2358 0.2676 0.1762 0.2033 0.2327 0.2643 0.2981 0.1635 0.1894 0.2177 0.1736 0.1711 -0,9 -08 一0,7 0.2005 0.2296 0.1977 0.2266 0.1685 0.1949 0.2236 0.1660 0.1922 0.2206 0.1611 0.1867 02148 -06 -0.5 0.2578 0.2912 0.2546 0.2877 02514 02843 0.2483 0.2810 0.2709 0.2611 0.2946 0.2451 0.2776 0.3050 0.3015 0.3409 0.3783 04168 0.3336 0.3446 0.3821 0.4207 0.3372 0.3745 0.4129 0.4522 0.4920 0.3300 0.3669 0.4052 0.4443 0.4840 0.3264 0.3632 0.4013 0.3228 0.3594 0.3974 0.3192 0.3557 0.3936 0.4325 0.4721 03156 0.3520 0.3897 0.3121 0.3483 0.3859 -04 -0.3 0.3707 0.4090 -0.2 -0.1 -0.0 0.4602 0.5000 0.4562 0.4960 0.4483 0.4880 0.4404 0.4801 0.4364 0.4761 0.4247 0.4641 0.4286 0.4681 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(x 2 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? O 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. OC. The population must be normally distributed and the sample size must be large. O D. The population must be normally distributed. 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 -32 0.0003 0.000S 0.0007 0.0010 0.0013 0.0003 0.0005 0.0007 0.0003 0.0005 0.0006 0.0003 0.0004 0.0006 0.0003 0.0004 0.0006 0.0003 0.0004 0.0006 0.0003 0.0004 0.0006 0.0003 0.0004 0.0003 0.0004 0.0005 0.0002 0.0003 0.0005 ー1 -3.0 0.0009 0.0013 0.0008 0.0011 0.000S 0.0008 0.0011 0.0009 0.0009 0.0008 0.0008 0.0007 0.0007 0.0013 0.0012 0.0012 0.0011 0.0010 0.0010 0.0018 0.0024 0.0033 0.0044 0.0059 -2.7 -2.6 -2.5 ー29 -28 0.0019 0.0026 0.0035 0.0018 0.0025 0.0034 0.0045 0.0060 0.0017 0.0023 0.0032 0.0043 0.0057 0.0016 0.0023 0.0031 0.0041 0.0055 0.0016 0.0022 0.0030 0.0040 0.0054 0.0015 0.0021 0.0029 0.0039 0.0052 0.0015 0.0021 0.0028 0.0038 0.0051 0.0014 0.0020 0.0027 0.0037 0.0049 0.0014 0.0019 0.0026 0.0047 0.0036 0.0048 0.0062 -24 -2.3 0.0075 0.0099 0.0073 0.0096 0.0071 0.0094 0.0064 0.0084 0.0082 0.0107 0.0139 0.0179 0.0228 0.0080 0.0104 0.0136 0.0078 0.0069 0.0068 0.0089 0.0066 0.0087 -22 -2.1 -2.0 0.0102 0.0132 0.0170 0.0217 0.0091 0.0119 0.0154 0.0197 0.0129 0.0125 0.0162 0.0207 0.0062 0.0122 0.0158 0.0202 0.0116 0.0150 0.0192 0.0113 0.0146 0.0188 0.0110 0.0143 0.0183 0.0174 0.0222 0.0166 0.0212 -1.9 -1.8 -1.7 0.0256 0.0322 0.0401 0.0233 0.0294 0.0367 0.0455 0.0559 0.0287 0.0359 0.0281 0.0351 0.0436 0.0274 0.0344 0.0268 0.0336 0.0418 0.0516 0.0630 0.0250 0.0244 0.0329 0.0409 0.0239 0.0301 0.0375 0.0314 0.0392 0.0485 0.0594 0.0307 0.0384 -1.6 -1.5 0.0446 0.0548 0.0668 0.0537 0.0655 0.0427 0.0526 0.0643 0.0505 0.0618 0.0495 0.0606 0.0475 0.0582 0.0465 0.0571 0.0735 0.0885 0.1056 0.1251 0.1469 -14 0.0808 0.0968 0.0793 0.0951 0.1131 0.1335 0.1562 0.0778 0.0934 0.1112 0.1314 0.1539 0.0764 0.0918 0.1093 0.1292 0.1515 0.0749 0.0721 0.0869 0.1038 0.1230 0.1446 0.0708 0.0853 0.0694 0.0838 0.0681 0.0823 0.0985 0.1170 0.1379 -1.3 -1.2 0.1151 0.1357 0.1587 0.0901 0.1075 0.1271 0.1020 0.1210 0.1423 0.1003 -1.1 -1.0 0.1190 0.1401 0.1492 0.1841 02119 0.2420 02743 0.3085 0.1814 0.2090 0.2389 0.1788 0.2061 0.2358 0.2676 0.1762 0.2033 0.2327 0.2643 0.2981 0.1635 0.1894 0.2177 0.1736 0.1711 -0,9 -08 一0,7 0.2005 0.2296 0.1977 0.2266 0.1685 0.1949 0.2236 0.1660 0.1922 0.2206 0.1611 0.1867 02148 -06 -0.5 0.2578 0.2912 0.2546 0.2877 02514 02843 0.2483 0.2810 0.2709 0.2611 0.2946 0.2451 0.2776 0.3050 0.3015 0.3409 0.3783 04168 0.3336 0.3446 0.3821 0.4207 0.3372 0.3745 0.4129 0.4522 0.4920 0.3300 0.3669 0.4052 0.4443 0.4840 0.3264 0.3632 0.4013 0.3228 0.3594 0.3974 0.3192 0.3557 0.3936 0.4325 0.4721 03156 0.3520 0.3897 0.3121 0.3483 0.3859 -04 -0.3 0.3707 0.4090 -0.2 -0.1 -0.0 0.4602 0.5000 0.4562 0.4960 0.4483 0.4880 0.4404 0.4801 0.4364 0.4761 0.4247 0.4641 0.4286 0.4681 0.00 0.01 0.02 0.03 0.04 0.05 0.06 0.07 0.08 0.09
Standard Normal Distribution Table (page 2) Asea Standard Nomal Distribution 0,00 0.01 0.02 0.03 0.04 0.05 0,06 0.07 0.08 0.09 0.0 0.1 0.2 0.5000 0.5398 0.5793 0.6179 0.6554 0.5040 0.5438 0.5832 0.5080 0.5478 0.5871 0.6255 0.6628 0,5120 0.5517 0.5910 0.6293 0.6664 0.5160 0.5557 0.5948 0.5199 0.5596 0.5987 0.6368 0.6736 0.5239 0.5636 0.6026 0.6406 0.6772 0,5279 0.5675 0.6064 0.6443 0.6808 0.5319 0.5714 0.6103 0.5359 0.5753 0.6141 0.6517 0,6879 0.6217 0.6591 0.3 0.6331 0,6700 0.6480 0.4 0.6844 0.6950 0.7291 0.7611 0.7054 0.7389 0.7704 0.7995 0.8264 0.7123 0.7454 0.7764 0.8051 0.8315 0.7157 0.7190 0.7517 0.7823 0.5 0.6915 0.7257 0.7580 0.7881 0.8159 0.6985 0.7324 0.7642 0.7019 0.7357 0.7673 0.7967 0.8238 0.7088 0.7422 0.7734 0.8023 0.8289 0.7486 0.7794 0.8078 0.8340 0.7224 0.7549 0.7852 0.6 0,7 0.8 0.9 0.7910 0.8186 0.7939 0.8212 0.8106 0.8365 0.8133 0.8389 0.8413 0.8643 0.8849 0.9032 0.9192 0.8438 0.8665 0.8869 0.9049 0.9207 0.8485 0.8708 0.8907 0.9082 0.9236 0.8508 0.8729 0.8925 0.9099 0.9251 0.8531 0.8749 0,8944 0.8577 0.8790 0.8980 0,8554 1.0 1.1 1.2 1.3 1.4 0.8461 0.8686 0.8888 0.9066 0.9222 0.8770 0.8962 0.9131 0.9279 0.8599 0.8810 0.8997 0.8621 0,8830 0.90 15 0.9177 0.9319 0.9115 0.9265 0.9147 0.9292 0.9162 0.9306 1.5 1.6 1.7 0.9332 0.9452 0.9554 0.9641 0.9713 0.9345 0.9463 0.9564 0.9649 0.9719 0.9357 0.9474 0.9573 0.9656 0.9726 0.9382 0.9495 0.9591 0.9671 0.9738 0.9394 0.9505 0.9599 0.9406 0.9515 0.9608 0.9686 0.9750 0.9429 0.9535 0.9625 0.9699 0.9761 0.9370 0.9484 0.9582 0.9664 0.9732 0.9418 0.9525 0.9616 0.9693 0.9756 0.9441 0.9545 0.9633 0.9706 0.9767 1.8 1.9 0.9678 0.9744 2.0 2.1 2.2 0.9772 0.9821 0.9861 0.9778 0.9826 0.9864 0.9783 0,9830 0.9868 0.9898 0.9922 0.9788 0.9834 0.9871 0.9793 0.9838 0.9875 0.9904 0.9927 0.9798 0.9842 0.9878 0.9812 0.9854 0.9887 0.9913 0.9934 0.9803 0.9846 0.9808 0.9850 0.9884 0.9911 0.9932 0.9817 0.9857 0.9890 0.9881 2.3 2.4 0.9893 0.9918 0,9916 0.9936 0.9896 0.9901 0.9906 0.9909 0.9920 0.9925 0.9929 0.9931 0.9941 0.9956 0.9967 0.9976 0.9982 0.9943 0.9957 0.9968 0.9977 0.9983 0.9948 0.9961 0.9971 0.9979 0.9985 2.5 2.6 2.7 2.8 2.9 0.9938 0.9953 0.9965 0.9974 0.9981 0.9940 0.9955 0.9966 0.9945 0.9959 0.9969 0.9977 0.9984 0.9946 0.9960 0.9970 0.9978 0.9984 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 0.9981 0.9986 0.9975 0.9982 0.9987 0.9990 0.9993 0.9987 0.9991 0.9994 0.9989 0.9992 0.9994 0.9996 0.9997 0.9990 0.9993 0.9995 0.9997 0.9998 3.0 3.1 0.9987 0.9991 0.9993 0.9988 0.9991 0.9994 0.9988 0.9992 0.9994 0.9996 0.9997 0.9989 0.9992 0.9994 0.9996 0.9997 0.9989 0.9992 0.9995 0.9990 0.9993 0.9995 0.9996 0.9997 3.2 3.3 0.9995 0.9997 0.9995 0.9997 0.9995 0.9997 0.9996 0.9997 0.9996 0.9997 3.4 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) Asea Standard Nomal Distribution 0,00 0.01 0.02 0.03 0.04 0.05 0,06 0.07 0.08 0.09 0.0 0.1 0.2 0.5000 0.5398 0.5793 0.6179 0.6554 0.5040 0.5438 0.5832 0.5080 0.5478 0.5871 0.6255 0.6628 0,5120 0.5517 0.5910 0.6293 0.6664 0.5160 0.5557 0.5948 0.5199 0.5596 0.5987 0.6368 0.6736 0.5239 0.5636 0.6026 0.6406 0.6772 0,5279 0.5675 0.6064 0.6443 0.6808 0.5319 0.5714 0.6103 0.5359 0.5753 0.6141 0.6517 0,6879 0.6217 0.6591 0.3 0.6331 0,6700 0.6480 0.4 0.6844 0.6950 0.7291 0.7611 0.7054 0.7389 0.7704 0.7995 0.8264 0.7123 0.7454 0.7764 0.8051 0.8315 0.7157 0.7190 0.7517 0.7823 0.5 0.6915 0.7257 0.7580 0.7881 0.8159 0.6985 0.7324 0.7642 0.7019 0.7357 0.7673 0.7967 0.8238 0.7088 0.7422 0.7734 0.8023 0.8289 0.7486 0.7794 0.8078 0.8340 0.7224 0.7549 0.7852 0.6 0,7 0.8 0.9 0.7910 0.8186 0.7939 0.8212 0.8106 0.8365 0.8133 0.8389 0.8413 0.8643 0.8849 0.9032 0.9192 0.8438 0.8665 0.8869 0.9049 0.9207 0.8485 0.8708 0.8907 0.9082 0.9236 0.8508 0.8729 0.8925 0.9099 0.9251 0.8531 0.8749 0,8944 0.8577 0.8790 0.8980 0,8554 1.0 1.1 1.2 1.3 1.4 0.8461 0.8686 0.8888 0.9066 0.9222 0.8770 0.8962 0.9131 0.9279 0.8599 0.8810 0.8997 0.8621 0,8830 0.90 15 0.9177 0.9319 0.9115 0.9265 0.9147 0.9292 0.9162 0.9306 1.5 1.6 1.7 0.9332 0.9452 0.9554 0.9641 0.9713 0.9345 0.9463 0.9564 0.9649 0.9719 0.9357 0.9474 0.9573 0.9656 0.9726 0.9382 0.9495 0.9591 0.9671 0.9738 0.9394 0.9505 0.9599 0.9406 0.9515 0.9608 0.9686 0.9750 0.9429 0.9535 0.9625 0.9699 0.9761 0.9370 0.9484 0.9582 0.9664 0.9732 0.9418 0.9525 0.9616 0.9693 0.9756 0.9441 0.9545 0.9633 0.9706 0.9767 1.8 1.9 0.9678 0.9744 2.0 2.1 2.2 0.9772 0.9821 0.9861 0.9778 0.9826 0.9864 0.9783 0,9830 0.9868 0.9898 0.9922 0.9788 0.9834 0.9871 0.9793 0.9838 0.9875 0.9904 0.9927 0.9798 0.9842 0.9878 0.9812 0.9854 0.9887 0.9913 0.9934 0.9803 0.9846 0.9808 0.9850 0.9884 0.9911 0.9932 0.9817 0.9857 0.9890 0.9881 2.3 2.4 0.9893 0.9918 0,9916 0.9936 0.9896 0.9901 0.9906 0.9909 0.9920 0.9925 0.9929 0.9931 0.9941 0.9956 0.9967 0.9976 0.9982 0.9943 0.9957 0.9968 0.9977 0.9983 0.9948 0.9961 0.9971 0.9979 0.9985 2.5 2.6 2.7 2.8 2.9 0.9938 0.9953 0.9965 0.9974 0.9981 0.9940 0.9955 0.9966 0.9945 0.9959 0.9969 0.9977 0.9984 0.9946 0.9960 0.9970 0.9978 0.9984 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 0.9981 0.9986 0.9975 0.9982 0.9987 0.9990 0.9993 0.9987 0.9991 0.9994 0.9989 0.9992 0.9994 0.9996 0.9997 0.9990 0.9993 0.9995 0.9997 0.9998 3.0 3.1 0.9987 0.9991 0.9993 0.9988 0.9991 0.9994 0.9988 0.9992 0.9994 0.9996 0.9997 0.9989 0.9992 0.9994 0.9996 0.9997 0.9989 0.9992 0.9995 0.9990 0.9993 0.9995 0.9996 0.9997 3.2 3.3 0.9995 0.9997 0.9995 0.9997 0.9995 0.9997 0.9996 0.9997 0.9996 0.9997 3.4 0.00 0,01 0.02 0.03 0.04 0.05 0.06 0,07 0.08 0.09 Print Done
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