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Suppose a simple random sample of size n= 42 is obtained from a population with p = 64 and o = 17. compute probabilities regarding the sample mean? Assuming the normal model can be used, describe the sampling distribution x. (a) What must be true regarding the distribution of the population in order to use the normal model (b) Assuming the normal model can be used, determine P(x< 68.2). (c) Assuming the normal model can be used, determine P(x266.4). 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. The population must be normally distributed. O B. Since the sample size is large enough, the population distribution does not need to be normal. OC. The population must be normally distributed and the sample size must be large. OD. There are no requirements on the shape of the distribution of the population. Assuming the normal model can be used, describe the sampling distribution x. OA Approximately normal, with H; = 64 and o; = 17 42 O B. Approximately normal, with µ; = 64 and o; = V17 17 OC. Approximately normal, with H; = 64 and o; = V42 (b) P(x < 68.2) =O (Round four decimal places as needed.) (c) P(x2 66.4) = (Round to four decimal places as needed.)

Suppose a simple random sample of size n= 42 is obtained from a population with p = 64 and o = 17. compute probabilities regarding the sample mean? Assuming the normal model can be used, describe the sampling distribution x. (a) What must be true regarding the distribution of the population in order to use the normal model (b) Assuming the normal model can be used, determine P(x< 68.2). (c) Assuming the normal model can be used, determine P(x266.4). 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. The population must be normally distributed. O B. Since the sample size is large enough, the population distribution does not need to be normal. OC. The population must be normally distributed and the sample size must be large. OD. There are no requirements on the shape of the distribution of the population. Assuming the normal model can be used, describe the sampling distribution x. OA Approximately normal, with H; = 64 and o; = 17 42 O B. Approximately normal, with µ; = 64 and o; = V17 17 OC. Approximately normal, with H; = 64 and o; = V42 (b) P(x < 68.2) =O (Round four decimal places as needed.) (c) P(x2 66.4) = (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 1) Standard Normal Distribution Table (page 2) Area Area Standard Normal Distribution Standard Normal Distribution 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 0.09 0.0003 0.0004 0.0006 0.0009 0.0012 0.5000 0.5398 0.5793 0.5199 0.5596 0.5987 0.5319 0.5714 0.6103 0.0003 0.0003 0.0003 0.5040 -3.4 -3.3 -3.2 -3.1 -3.0 0.0003 0.0005 0.0007 0.0003 0.0005 0.0007 0.0003 0.0005 0.0006 0.0004 0.0006 0.0008 0.0012 0.0003 0.0004 0.0006 0.0003 0.0004 0.0006 0.0008 0.0011 0.0002 0.0003 0.0005 0.0 0.1 0.2 0.5080 0.5478 0.5871 0.5120 0.5517 0.5910 0.5160 0.5557 0.5948 0.5239 0.5636 0.6026 0.5279 0.5675 0.6064 0.5359 0.5753 0.6141 0.0004 0.0004 0.0005 0.5438 0.0005 0.5832 0.0010 0.0013 0.0009 0.0013 0.0009 0.0013 0.0008 0.0011 0.0008 0.0011 0.0007 0.0010 0.6179 0.6554 0.6255 0.6628 0.6406 0.6772 0.6217 0.0007 0.0010 0.6517 0.6879 0.3 0.6293 0.6664 0.6331 0.6700 0.6368 0.6443 0.6808 0.6480 0.6844 0.4 0.6591 0.6736 0.0017 0.0023 0.0032 0.7190 0.7517 0.7823 0.0015 0.0015 0.0021 0.0028 0.0014 0.0019 0.0026 0.5 0.6915 0.7257 0.7580 0.7881 0.8159 0.7019 0.7054 0.7389 0.7704 0.7123 0.7454 0.7764 0.8051 0.8315 0.7157 -29 -2.8 -2.7 0.0019 0.0026 0.0035 0.0018 0.0025 0.0018 0.0016 0.0023 0.0031 0.0016 0.0022 0.0030 0.0014 0.0020 0.0027 0.6950 0.7291 0.7611 0.6985 0.7324 0.7642 0.7088 0.7422 0.7734 0.7224 0.7549 0.7852 0.8133 0.8389 0.0024 0.0033 0.7357 0.7673 0.7967 0.8238 0.0021 0.7486 0.7794 0.8078 0.6 0.0034 0.0029 0.7 -2.6 -2.5 0.0047 0.0062 0.0044 0.0059 0.0039 0.0052 0.8106 0.8365 0.0045 0.0043 0.0057 0.0041 0.0055 0.0040 0.0054 0.0038 0.0051 0.0037 0.0049 0.0036 0.0048 0.8 0.7910 0.7939 0.8212 0.7995 0.8264 0.8023 0.0060 0.9 0.8186 0.8289 0.8340 -2.4 -2.3 -2.2 0.0082 0.0107 0.0139 0.0080 0.0104 0.0136 0.0078 0.0102 0.0132 0.0075 0.0099 0.0129 0.0073 0.0096 0.0125 0.0071 0.0094 0.0122 0.0158 0.0202 0.0069 0.0091 0.0119 0.8508 0.8729 0.8925 0.8577 0.8790 0.8980 0.0068 0.0089 0.0066 0.0087 0.0113 0.0064 0.0084 0.0110 1.0 1.1 1.2 0.8413 0.8643 0.8849 0.8438 0.8665 0.8869 0.8461 0.8686 0.8888 0.9066 0.9222 0.8485 0.8708 0.8907 0.8531 0.8749 0.8944 0.9115 0.9265 0.8554 0.8770 0.8599 0.8810 0.8997 0.9162 0.9306 0.8621 0.8830 0.9015 0.0116 0.8962 -2.1 -2.0 0.0174 0.0222 0.0150 0.0192 0.0146 0.9032 0.9192 0.9099 0.0179 0.0228 0.9147 0.9292 0.0170 0.0166 0.0212 0.0162 0.0207 0.0154 0.0197 0.0143 1.3 0.9049 0.9082 0.9131 0.9177 0.0217 0.0188 0.0183 1.4 0.9207 0.9236 0.9251 0.9279 0.9319 -1.9 -1.8 -1.7 0.0287 0.0359 0.0446 0.0281 0.0351 0.0436 0.0537 0.0655 0.0268 0.0336 0.0418 0.0233 0.0294 0.0367 0.9370 0.9484 0.9582 0.9664 0.9732 0.9429 0.9535 0.9625 0.9699 0.9761 0.0274 0.0262 0.0329 0.0409 0.0256 0.0322 0.0401 0.0250 0.0244 0.0239 0.0301 0.0375 0.0465 0.0571 1.5 1.6 1.7 0.9332 0.9452 0.9554 0.9345 0.9463 0.9564 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 0.0314 0.0392 0.9406 0.9515 0.9418 0.9525 0.9616 0.9441 0.9545 0.0344 0.0427 0.0526 0.0643 0.0307 0.0384 0.9608 0.9633 -1.6 -1.5 0.0548 0.0668 0.0516 0.0630 0.0505 0.0618 0.0495 0.0606 0.0485 0.0594 0.0475 0.0582 0.0455 0.0559 0.9641 0.9713 0.9649 0.9719 0.9686 0.9750 0.9693 0.9756 1.8 0.9678 0.9706 0.9767 1.9 0.9744 0.0808 0.0968 0.1151 0.0793 0.0951 0.1131 0.0778 0.0934 0.1112 0.0764 0.0918 0.1093 0.0735 0.0885 0.1056 0.0721 0.0869 0.1038 0.0708 0.0853 0.1020 2.0 2.1 2.2 0.9772 0.9821 0.9861 0.9817 0.9857 0.9890 -1.4 0.9793 0.0749 0.0901 0.1075 0.1271 0.1492 0.0694 0.0838 0.0681 0.0823 0.0985 0.9778 -1.3 -1.2 0.9826 0.9864 0.9783 0.9830 0.9868 0.9788 0.9834 0.9798 0.9842 0.9878 0.9803 0.9846 0.9881 0.9808 0.9850 0.9884 0.9812 0.9854 0.9838 0.1003 0.9871 0.9875 0.9887 0.1335 0.1562 0.1314 0.1539 0.1190 0.1401 0.9904 0.9927 0.1292 0.1357 0.1587 0.1251 0.1469 0.1230 0.1446 0.1210 0.1423 0.1170 0.1379 2.3 2.4 0.9893 0.9918 0.9896 0.9920 0.9898 0.9922 0.9901 0.9925 0.9906 0.9929 0.9916 0.9936 0.9909 0.9911 0.9932 0.9913 0.9934 -1.0 0.1515 0.9931 -0.9 0.1841 0.1814 0.1788 0.1762 0.1736 0.1711 0.1685 0.1660 0.1635 0.1611 2.5 0.9938 0.9940 0.9941 0.9943 0.9945 0.9946 0.9948 0.9949 0.9951 0.9952 Print Done Print Done
Transcribed Image Text:Standard Normal Distribution Table (page 1) Standard Normal Distribution Table (page 2) Area Area Standard Normal Distribution Standard Normal Distribution 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 0.09 0.0003 0.0004 0.0006 0.0009 0.0012 0.5000 0.5398 0.5793 0.5199 0.5596 0.5987 0.5319 0.5714 0.6103 0.0003 0.0003 0.0003 0.5040 -3.4 -3.3 -3.2 -3.1 -3.0 0.0003 0.0005 0.0007 0.0003 0.0005 0.0007 0.0003 0.0005 0.0006 0.0004 0.0006 0.0008 0.0012 0.0003 0.0004 0.0006 0.0003 0.0004 0.0006 0.0008 0.0011 0.0002 0.0003 0.0005 0.0 0.1 0.2 0.5080 0.5478 0.5871 0.5120 0.5517 0.5910 0.5160 0.5557 0.5948 0.5239 0.5636 0.6026 0.5279 0.5675 0.6064 0.5359 0.5753 0.6141 0.0004 0.0004 0.0005 0.5438 0.0005 0.5832 0.0010 0.0013 0.0009 0.0013 0.0009 0.0013 0.0008 0.0011 0.0008 0.0011 0.0007 0.0010 0.6179 0.6554 0.6255 0.6628 0.6406 0.6772 0.6217 0.0007 0.0010 0.6517 0.6879 0.3 0.6293 0.6664 0.6331 0.6700 0.6368 0.6443 0.6808 0.6480 0.6844 0.4 0.6591 0.6736 0.0017 0.0023 0.0032 0.7190 0.7517 0.7823 0.0015 0.0015 0.0021 0.0028 0.0014 0.0019 0.0026 0.5 0.6915 0.7257 0.7580 0.7881 0.8159 0.7019 0.7054 0.7389 0.7704 0.7123 0.7454 0.7764 0.8051 0.8315 0.7157 -29 -2.8 -2.7 0.0019 0.0026 0.0035 0.0018 0.0025 0.0018 0.0016 0.0023 0.0031 0.0016 0.0022 0.0030 0.0014 0.0020 0.0027 0.6950 0.7291 0.7611 0.6985 0.7324 0.7642 0.7088 0.7422 0.7734 0.7224 0.7549 0.7852 0.8133 0.8389 0.0024 0.0033 0.7357 0.7673 0.7967 0.8238 0.0021 0.7486 0.7794 0.8078 0.6 0.0034 0.0029 0.7 -2.6 -2.5 0.0047 0.0062 0.0044 0.0059 0.0039 0.0052 0.8106 0.8365 0.0045 0.0043 0.0057 0.0041 0.0055 0.0040 0.0054 0.0038 0.0051 0.0037 0.0049 0.0036 0.0048 0.8 0.7910 0.7939 0.8212 0.7995 0.8264 0.8023 0.0060 0.9 0.8186 0.8289 0.8340 -2.4 -2.3 -2.2 0.0082 0.0107 0.0139 0.0080 0.0104 0.0136 0.0078 0.0102 0.0132 0.0075 0.0099 0.0129 0.0073 0.0096 0.0125 0.0071 0.0094 0.0122 0.0158 0.0202 0.0069 0.0091 0.0119 0.8508 0.8729 0.8925 0.8577 0.8790 0.8980 0.0068 0.0089 0.0066 0.0087 0.0113 0.0064 0.0084 0.0110 1.0 1.1 1.2 0.8413 0.8643 0.8849 0.8438 0.8665 0.8869 0.8461 0.8686 0.8888 0.9066 0.9222 0.8485 0.8708 0.8907 0.8531 0.8749 0.8944 0.9115 0.9265 0.8554 0.8770 0.8599 0.8810 0.8997 0.9162 0.9306 0.8621 0.8830 0.9015 0.0116 0.8962 -2.1 -2.0 0.0174 0.0222 0.0150 0.0192 0.0146 0.9032 0.9192 0.9099 0.0179 0.0228 0.9147 0.9292 0.0170 0.0166 0.0212 0.0162 0.0207 0.0154 0.0197 0.0143 1.3 0.9049 0.9082 0.9131 0.9177 0.0217 0.0188 0.0183 1.4 0.9207 0.9236 0.9251 0.9279 0.9319 -1.9 -1.8 -1.7 0.0287 0.0359 0.0446 0.0281 0.0351 0.0436 0.0537 0.0655 0.0268 0.0336 0.0418 0.0233 0.0294 0.0367 0.9370 0.9484 0.9582 0.9664 0.9732 0.9429 0.9535 0.9625 0.9699 0.9761 0.0274 0.0262 0.0329 0.0409 0.0256 0.0322 0.0401 0.0250 0.0244 0.0239 0.0301 0.0375 0.0465 0.0571 1.5 1.6 1.7 0.9332 0.9452 0.9554 0.9345 0.9463 0.9564 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 0.0314 0.0392 0.9406 0.9515 0.9418 0.9525 0.9616 0.9441 0.9545 0.0344 0.0427 0.0526 0.0643 0.0307 0.0384 0.9608 0.9633 -1.6 -1.5 0.0548 0.0668 0.0516 0.0630 0.0505 0.0618 0.0495 0.0606 0.0485 0.0594 0.0475 0.0582 0.0455 0.0559 0.9641 0.9713 0.9649 0.9719 0.9686 0.9750 0.9693 0.9756 1.8 0.9678 0.9706 0.9767 1.9 0.9744 0.0808 0.0968 0.1151 0.0793 0.0951 0.1131 0.0778 0.0934 0.1112 0.0764 0.0918 0.1093 0.0735 0.0885 0.1056 0.0721 0.0869 0.1038 0.0708 0.0853 0.1020 2.0 2.1 2.2 0.9772 0.9821 0.9861 0.9817 0.9857 0.9890 -1.4 0.9793 0.0749 0.0901 0.1075 0.1271 0.1492 0.0694 0.0838 0.0681 0.0823 0.0985 0.9778 -1.3 -1.2 0.9826 0.9864 0.9783 0.9830 0.9868 0.9788 0.9834 0.9798 0.9842 0.9878 0.9803 0.9846 0.9881 0.9808 0.9850 0.9884 0.9812 0.9854 0.9838 0.1003 0.9871 0.9875 0.9887 0.1335 0.1562 0.1314 0.1539 0.1190 0.1401 0.9904 0.9927 0.1292 0.1357 0.1587 0.1251 0.1469 0.1230 0.1446 0.1210 0.1423 0.1170 0.1379 2.3 2.4 0.9893 0.9918 0.9896 0.9920 0.9898 0.9922 0.9901 0.9925 0.9906 0.9929 0.9916 0.9936 0.9909 0.9911 0.9932 0.9913 0.9934 -1.0 0.1515 0.9931 -0.9 0.1841 0.1814 0.1788 0.1762 0.1736 0.1711 0.1685 0.1660 0.1635 0.1611 2.5 0.9938 0.9940 0.9941 0.9943 0.9945 0.9946 0.9948 0.9949 0.9951 0.9952 Print Done Print Done
Suppose a simple random sample of size n= 42 is obtained from a population with u = 64 and o = 17. (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< 68.2). (c) Assuming the normal model can be used, determine P(x2 66.4). 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. The population must be normally distributed. O B. Since the sample size is large enough, the population distribution does not need to be normal. C. The population must be normally distributed and the sample size must be large. D. There are no requirements on the shape of the distribution of the population. Assuming the normal model can be used, describe the sampling distribution x. O A. Approximately normal, with = 64 and o, = 17 42 B. Approximately normal, with µ; = 64 and V17 17 C. Approximately normal, with µ; = 64 and %3D V42 (b) P(x< 68.2) = (Round to four decimal places as needed.) (c) P(x2 66.4) = (Round to four decimal places as needed.)
Transcribed Image Text:Suppose a simple random sample of size n= 42 is obtained from a population with u = 64 and o = 17. (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< 68.2). (c) Assuming the normal model can be used, determine P(x2 66.4). 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. The population must be normally distributed. O B. Since the sample size is large enough, the population distribution does not need to be normal. C. The population must be normally distributed and the sample size must be large. D. There are no requirements on the shape of the distribution of the population. Assuming the normal model can be used, describe the sampling distribution x. O A. Approximately normal, with = 64 and o, = 17 42 B. Approximately normal, with µ; = 64 and V17 17 C. Approximately normal, with µ; = 64 and %3D V42 (b) P(x< 68.2) = (Round to four decimal places as needed.) (c) P(x2 66.4) = (Round to four decimal places as needed.)
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