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Suppose a simple random sample of size n= 39 is obtained from a population with p = 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< 65.2). (c) Assuming the normal model can be used, determine P(x2 63.2). 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. The population must be normally distributed and the sample size must be large. Oc. Since the sample size is large enough, the population distribution does not need to be normal. O 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. 39 O A. Approximately normal, with µ; = 62 and o; = V19 19 O B. Approximately normal, with p, = 62 and o; = V39 OC. Approximately normal, with p; = 62 and o; = 19 (b) P(x < 65.2) = (Round to four decimal places as needed.) (c) P(x2 63.2) = (Round to four decimal places as needed.)

Suppose a simple random sample of size n= 39 is obtained from a population with p = 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< 65.2). (c) Assuming the normal model can be used, determine P(x2 63.2). 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. The population must be normally distributed and the sample size must be large. Oc. Since the sample size is large enough, the population distribution does not need to be normal. O 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. 39 O A. Approximately normal, with µ; = 62 and o; = V19 19 O B. Approximately normal, with p, = 62 and o; = V39 OC. Approximately normal, with p; = 62 and o; = 19 (b) P(x < 65.2) = (Round to four decimal places as needed.) (c) P(x2 63.2) = (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) Standard normal distribution table (page 1) 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 0.0 0.1 0.2 0.5000 0.5398 0.5793 0.5040 0.5438 0.5832 0.5080 0.5478 0.5871 0.6255 0.6628 0.5120 0.5517 0.5910 0.5160 0.5557 0.5948 0.5199 0.5596 0.5987 0.6368 0.6736 0.5239 0.5636 0.6026 0.5279 0.5675 0.6064 0.5319 0.5714 0.6103 0.5359 0.5753 0.6141 -3.4 -3.3 -3.2 -3.1 0.0003 0.0005 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 0.0008 0.0011 0.0003 0.0004 0.0006 0.0003 0.0004 0.0005 0.0008 0.0011 0.0003 0.0004 0.0005 0.0007 0.0010 0.0002 0.0003 0.0005 0.3 0.4 0.6179 0.6554 0.6217 0.6591 0.6293 0.6664 0.6331 0.6700 0.6406 0.6772 0.6443 0.6808 0.6480 0.6844 0.6517 0.6879 0.0009 0.0013 0.0009 0.0013 0.0009 0.0012 0.0008 0.0012 0.0008 0.0011 0.0007 0.0010 -3.0 0.6915 0.7257 0.7580 0.6950 0.7291 0.7611 0.6985 0.7324 0.7642 0.7054 0.7389 0.7704 0.7123 0.7454 0.7764 0.7190 0.7517 0.7823 0.5 0.7019 0.7357 0.7673 0.7088 0.7422 0.7734 0.7157 0.7486 0.7794 0.7224 0.7549 0.7852 0.8133 0.8389 -29 -2.8 -2.7 -2.6 -2.5 0.0019 0.0026 0.0035 0.0047 0.0062 0.0018 0.0024 0.0033 0.0016 0.0023 0.0031 0.0041 0.0055 0.0016 0.0022 0.0030 0.0040 0.0054 0.0018 0.0017 0.0023 0.0032 0.0043 0.0057 0.0015 0.0021 0.0029 0.0015 0.0021 0.0028 0.0014 0.0020 0.0027 0.0037 0.0049 0.0014 0.0019 0.0026 0.0036 0.0048 0.6 0.0025 0.0034 0.0045 0.0060 0.7 0.7939 0.8212 0.8023 0.8289 0.8078 0.8340 0.7881 0.7910 0.8186 0.7967 0.8238 0.7995 0.8264 0.8051 0.8315 0.8106 0.8365 0.8 0.0044 0.0059 0.0039 0.0052 0.0038 0.0051 0.9 0.8159 1.0 1.1 1.2 0.8413 0.8643 0.8849 0.9032 0.9192 0.8438 0.8665 0.8869 0.8461 0.8686 0.8888 0.8485 0.8708 0.8907 0.8508 0.8729 0.8925 0.8531 0.8749 0.8944 0.9115 0.9265 0.8554 0.8770 0.8962 0.8577 0.8790 0.8980 0.9147 0.9292 0.8599 0.8810 0.8997 0.9162 0.9306 0.8621 0.8830 0.9015 -2.4 -2.3 -2.2 0.0082 0.0107 0.0139 0.0179 0.0228 0.0080 0.0104 0.0136 0.0174 0.0222 0.0078 0.0102 0.0132 0.0170 0.0217 0.0075 0.0099 0.0129 0.0073 0.0096 0.0125 0.0162 0.0207 0.0071 0.0094 0.0122 0.0069 0.0091 0.0119 0.0154 0.0197 0.0068 0.0089 0.0116 0.0150 0.0192 0.0066 0.0087 0.0113 0.0064 0.0084 0.0110 1.3 1.4 0.9049 0.9207 0.9066 0.9222 0.9082 0.9236 0.9177 0.9319 0.9099 0.9131 0.9279 -2.1 -2.0 0.0166 0.0212 0.0158 0.0202 0.0146 0.0143 0.0183 0.9251 0.0188 1.5 1.6 1.7 1.8 0.9332 0.9452 0.9554 0.9345 0.9463 0.9564 0.9357 0.9474 0.9573 0.9656 0.9726 0.9370 0.9484 0.9582 0.9382 0.9495 0.9591 0.9394 0.9505 0.9599 0.9406 0.9515 0.9608 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 -1.9 -1.8 -1.7 0.0287 0.0359 0.0446 0.0281 0.0351 0.0436 0.0537 0.0655 0.0274 0.0344 0.0427 0.0268 0.0336 0.0418 0.0262 0.0329 0.0409 0.0256 0.0322 0.0401 0.0495 0.0606 0.0250 0.0314 0.0392 0.0485 0.0594 0.0244 0.0307 0.0384 0.0475 0.0582 0.0239 0.0301 0.0375 0.0233 0.0294 0.0367 0.9641 0.9713 0.9649 0.9719 0.9664 0.9732 0.9671 0.9738 0.9678 0.9744 0.9693 0.9756 0.9686 -1.6 -1.5 0.0548 0.0668 0.0526 0.0643 0.0516 0.0630 0.0505 0.0618 0.0465 0.0571 0.0455 0.0559 1.9 0.9750 2.0 2.1 2.2 0.9772 0.9821 0.9861 0.9893 0.9918 0.9778 0.9826 0.9864 0.9783 0.9830 0.9868 0.9788 0.9834 0.9871 0.9793 0.9838 0.9875 0.9798 0.9842 0.9878 0.9906 0.9929 0.9803 0.9846 0.9881 0.9808 0.9850 0.9884 0.9911 0.9932 0.9812 0.9854 0.9887 0.9817 0.9857 0.9890 0.0808 0.0968 0.1151 0.1357 0.1587 0.0778 0.0934 0.1112 0.0764 0.0918 0.1093 0.1292 0.1515 0.0749 0.0901 0.1075 0.1271 0.1492 0.0735 0.0885 0.1056 0.0694 0.0838 0.1003 0.1190 0.1401 0.0681 0.0823 0.0985 -1.4 0.0793 0.0951 0.1131 0.0721 0.0869 0.1038 0.1230 0.1446 0.0708 0.0853 0.1020 -1.3 -1.2 2.3 2.4 0.9896 0.9920 0.9898 0.9922 0.9901 0.9925 0.9904 0.9927 0.9909 0.9931 0.9913 0.9934 0.9916 0.9936 -1.1 -1.0 0.1335 0.1562 0.1314 0.1539 0.1251 0.1469 0.1210 0.1423 0.1170 0.1379 2.5 2.6 2.7 0.9938 0.9953 0.9965 0.9974 0.9981 0.9952 0.9964 0.9974 0.9981 0.9986 0.9940 0.9955 0.9966 0.9975 0.9982 0.9941 0.9956 0.9967 0.9943 0.9957 0.9968 0.9945 0.9959 0.9969 0.9946 0.9960 0.9970 0.9948 0.9961 0.9971 0.9949 0.9962 0.9972 0.9951 0.9963 0.9973 -0.9 -0.8 -0.7 -0.6 -0.5 0.1841 0.2119 0.2420 0.1814 0.2090 0.2389 0.1788 0.2061 0.2358 0.1762 0.2033 0.2327 0.1736 0.2005 0.2296 0.1711 0.1977 0.2266 0.1685 0.1949 0.2236 0.1660 0.1922 0.2206 0.1635 0.1894 0.2177 0.1611 0.1867 0.2148 2.8 2.9 0.9976 0.9982 0.9979 0.9985 0.9977 0.9977 0.9984 0.9978 0.9984 0.9979 0.9985 0.9980 0.9986 0.2743 0.3085 0.2709 0.3050 0.2676 0.3015 0.2643 0.2981 0.2611 0.2946 0.2578 0.2912 0.2546 0.2877 0.2514 0.2843 0.2483 0.2810 0.2451 0.2776 0.9983 3.0 3.1 0.9987 0.9990 0.9987 0.9991 0.9987 0.9991 0.9988 0.9991 0.9988 0.9992 0.9989 0.9992 0.9989 0.9992 0.9989 0.9992 0.9990 0.9993 0.9990 0.9993 -0.4 -0.3 0.3446 0.3821 0.3409 0.3783 0.3372 0.3745 0.3336 0.3707 0.3300 0.3669 0.3264 0.3632 0.3228 0.3594 0.3192 0.3557 0.3156 0.3520 0.3121 0.3483 A0002 A0002 A0004 A0004 03000
Transcribed Image Text:Standard normal distribution table (page 2) Standard normal distribution table (page 1) 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 0.0 0.1 0.2 0.5000 0.5398 0.5793 0.5040 0.5438 0.5832 0.5080 0.5478 0.5871 0.6255 0.6628 0.5120 0.5517 0.5910 0.5160 0.5557 0.5948 0.5199 0.5596 0.5987 0.6368 0.6736 0.5239 0.5636 0.6026 0.5279 0.5675 0.6064 0.5319 0.5714 0.6103 0.5359 0.5753 0.6141 -3.4 -3.3 -3.2 -3.1 0.0003 0.0005 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 0.0008 0.0011 0.0003 0.0004 0.0006 0.0003 0.0004 0.0005 0.0008 0.0011 0.0003 0.0004 0.0005 0.0007 0.0010 0.0002 0.0003 0.0005 0.3 0.4 0.6179 0.6554 0.6217 0.6591 0.6293 0.6664 0.6331 0.6700 0.6406 0.6772 0.6443 0.6808 0.6480 0.6844 0.6517 0.6879 0.0009 0.0013 0.0009 0.0013 0.0009 0.0012 0.0008 0.0012 0.0008 0.0011 0.0007 0.0010 -3.0 0.6915 0.7257 0.7580 0.6950 0.7291 0.7611 0.6985 0.7324 0.7642 0.7054 0.7389 0.7704 0.7123 0.7454 0.7764 0.7190 0.7517 0.7823 0.5 0.7019 0.7357 0.7673 0.7088 0.7422 0.7734 0.7157 0.7486 0.7794 0.7224 0.7549 0.7852 0.8133 0.8389 -29 -2.8 -2.7 -2.6 -2.5 0.0019 0.0026 0.0035 0.0047 0.0062 0.0018 0.0024 0.0033 0.0016 0.0023 0.0031 0.0041 0.0055 0.0016 0.0022 0.0030 0.0040 0.0054 0.0018 0.0017 0.0023 0.0032 0.0043 0.0057 0.0015 0.0021 0.0029 0.0015 0.0021 0.0028 0.0014 0.0020 0.0027 0.0037 0.0049 0.0014 0.0019 0.0026 0.0036 0.0048 0.6 0.0025 0.0034 0.0045 0.0060 0.7 0.7939 0.8212 0.8023 0.8289 0.8078 0.8340 0.7881 0.7910 0.8186 0.7967 0.8238 0.7995 0.8264 0.8051 0.8315 0.8106 0.8365 0.8 0.0044 0.0059 0.0039 0.0052 0.0038 0.0051 0.9 0.8159 1.0 1.1 1.2 0.8413 0.8643 0.8849 0.9032 0.9192 0.8438 0.8665 0.8869 0.8461 0.8686 0.8888 0.8485 0.8708 0.8907 0.8508 0.8729 0.8925 0.8531 0.8749 0.8944 0.9115 0.9265 0.8554 0.8770 0.8962 0.8577 0.8790 0.8980 0.9147 0.9292 0.8599 0.8810 0.8997 0.9162 0.9306 0.8621 0.8830 0.9015 -2.4 -2.3 -2.2 0.0082 0.0107 0.0139 0.0179 0.0228 0.0080 0.0104 0.0136 0.0174 0.0222 0.0078 0.0102 0.0132 0.0170 0.0217 0.0075 0.0099 0.0129 0.0073 0.0096 0.0125 0.0162 0.0207 0.0071 0.0094 0.0122 0.0069 0.0091 0.0119 0.0154 0.0197 0.0068 0.0089 0.0116 0.0150 0.0192 0.0066 0.0087 0.0113 0.0064 0.0084 0.0110 1.3 1.4 0.9049 0.9207 0.9066 0.9222 0.9082 0.9236 0.9177 0.9319 0.9099 0.9131 0.9279 -2.1 -2.0 0.0166 0.0212 0.0158 0.0202 0.0146 0.0143 0.0183 0.9251 0.0188 1.5 1.6 1.7 1.8 0.9332 0.9452 0.9554 0.9345 0.9463 0.9564 0.9357 0.9474 0.9573 0.9656 0.9726 0.9370 0.9484 0.9582 0.9382 0.9495 0.9591 0.9394 0.9505 0.9599 0.9406 0.9515 0.9608 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 -1.9 -1.8 -1.7 0.0287 0.0359 0.0446 0.0281 0.0351 0.0436 0.0537 0.0655 0.0274 0.0344 0.0427 0.0268 0.0336 0.0418 0.0262 0.0329 0.0409 0.0256 0.0322 0.0401 0.0495 0.0606 0.0250 0.0314 0.0392 0.0485 0.0594 0.0244 0.0307 0.0384 0.0475 0.0582 0.0239 0.0301 0.0375 0.0233 0.0294 0.0367 0.9641 0.9713 0.9649 0.9719 0.9664 0.9732 0.9671 0.9738 0.9678 0.9744 0.9693 0.9756 0.9686 -1.6 -1.5 0.0548 0.0668 0.0526 0.0643 0.0516 0.0630 0.0505 0.0618 0.0465 0.0571 0.0455 0.0559 1.9 0.9750 2.0 2.1 2.2 0.9772 0.9821 0.9861 0.9893 0.9918 0.9778 0.9826 0.9864 0.9783 0.9830 0.9868 0.9788 0.9834 0.9871 0.9793 0.9838 0.9875 0.9798 0.9842 0.9878 0.9906 0.9929 0.9803 0.9846 0.9881 0.9808 0.9850 0.9884 0.9911 0.9932 0.9812 0.9854 0.9887 0.9817 0.9857 0.9890 0.0808 0.0968 0.1151 0.1357 0.1587 0.0778 0.0934 0.1112 0.0764 0.0918 0.1093 0.1292 0.1515 0.0749 0.0901 0.1075 0.1271 0.1492 0.0735 0.0885 0.1056 0.0694 0.0838 0.1003 0.1190 0.1401 0.0681 0.0823 0.0985 -1.4 0.0793 0.0951 0.1131 0.0721 0.0869 0.1038 0.1230 0.1446 0.0708 0.0853 0.1020 -1.3 -1.2 2.3 2.4 0.9896 0.9920 0.9898 0.9922 0.9901 0.9925 0.9904 0.9927 0.9909 0.9931 0.9913 0.9934 0.9916 0.9936 -1.1 -1.0 0.1335 0.1562 0.1314 0.1539 0.1251 0.1469 0.1210 0.1423 0.1170 0.1379 2.5 2.6 2.7 0.9938 0.9953 0.9965 0.9974 0.9981 0.9952 0.9964 0.9974 0.9981 0.9986 0.9940 0.9955 0.9966 0.9975 0.9982 0.9941 0.9956 0.9967 0.9943 0.9957 0.9968 0.9945 0.9959 0.9969 0.9946 0.9960 0.9970 0.9948 0.9961 0.9971 0.9949 0.9962 0.9972 0.9951 0.9963 0.9973 -0.9 -0.8 -0.7 -0.6 -0.5 0.1841 0.2119 0.2420 0.1814 0.2090 0.2389 0.1788 0.2061 0.2358 0.1762 0.2033 0.2327 0.1736 0.2005 0.2296 0.1711 0.1977 0.2266 0.1685 0.1949 0.2236 0.1660 0.1922 0.2206 0.1635 0.1894 0.2177 0.1611 0.1867 0.2148 2.8 2.9 0.9976 0.9982 0.9979 0.9985 0.9977 0.9977 0.9984 0.9978 0.9984 0.9979 0.9985 0.9980 0.9986 0.2743 0.3085 0.2709 0.3050 0.2676 0.3015 0.2643 0.2981 0.2611 0.2946 0.2578 0.2912 0.2546 0.2877 0.2514 0.2843 0.2483 0.2810 0.2451 0.2776 0.9983 3.0 3.1 0.9987 0.9990 0.9987 0.9991 0.9987 0.9991 0.9988 0.9991 0.9988 0.9992 0.9989 0.9992 0.9989 0.9992 0.9989 0.9992 0.9990 0.9993 0.9990 0.9993 -0.4 -0.3 0.3446 0.3821 0.3409 0.3783 0.3372 0.3745 0.3336 0.3707 0.3300 0.3669 0.3264 0.3632 0.3228 0.3594 0.3192 0.3557 0.3156 0.3520 0.3121 0.3483 A0002 A0002 A0004 A0004 03000
Suppose a simple random sample of size n= 39 is obtained from a population with µ = 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<65.2). (c) Assuming the normal model can be used, determine P(x2 63.2). 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. The population must be normally distributed and the sample size must be large. O C. Since the sample size is large enough, the population distribution does not need to be normal. O 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. 39 O A. Approximately normal, with µ, 62 and o %3D %3D V 19 19 O B. Approximately normal, with µ; = 62 and o; = 39 Oc. Approximately normal, with µ, = 62 and o; = 19 %D °x (b) P(x< 65.2) : (Round to four decimal places as needed.) (c) P(x2 63.2) = (Round to four decimal places as needed.)
Transcribed Image Text:Suppose a simple random sample of size n= 39 is obtained from a population with µ = 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<65.2). (c) Assuming the normal model can be used, determine P(x2 63.2). 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. The population must be normally distributed and the sample size must be large. O C. Since the sample size is large enough, the population distribution does not need to be normal. O 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. 39 O A. Approximately normal, with µ, 62 and o %3D %3D V 19 19 O B. Approximately normal, with µ; = 62 and o; = 39 Oc. Approximately normal, with µ, = 62 and o; = 19 %D °x (b) P(x< 65.2) : (Round to four decimal places as needed.) (c) P(x2 63.2) = (Round to four decimal places as needed.)
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