Homework Help is Here – Start Your Trial Now!
Math
Statistics
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
See similar textbooks
icon
Related questions
Question
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
Expert Solution
trending now

Trending now

This is a popular solution!

steps

Step by step

Solved in 2 steps

SEE SOLUTIONCheck out a sample Q&A here
Blurred answer
Knowledge Booster
Point Estimation, Limit Theorems, Approximations, and Bounds
Learn more about
Need a deep-dive on the concept behind this application? Look no further. Learn more about this topic, statistics and related others by exploring similar questions and additional content below.
Recommended textbooks for you
MATLAB: An Introduction with Applications
MATLAB: An Introduction with Applications
Statistics
ISBN:
9781119256830
Author:
Amos Gilat
Publisher:
John Wiley & Sons Inc
Probability and Statistics for Engineering and th…
Probability and Statistics for Engineering and th…
Statistics
ISBN:
9781305251809
Author:
Jay L. Devore
Publisher:
Cengage Learning
Statistics for The Behavioral Sciences (MindTap C…
Statistics for The Behavioral Sciences (MindTap C…
Statistics
ISBN:
9781305504912
Author:
Frederick J Gravetter, Larry B. Wallnau
Publisher:
Cengage Learning
Elementary Statistics: Picturing the World (7th E…
Elementary Statistics: Picturing the World (7th E…
Statistics
ISBN:
9780134683416
Author:
Ron Larson, Betsy Farber
Publisher:
PEARSON
The Basic Practice of Statistics
The Basic Practice of Statistics
Statistics
ISBN:
9781319042578
Author:
David S. Moore, William I. Notz, Michael A. Fligner
Publisher:
W. H. Freeman
Introduction to the Practice of Statistics
Introduction to the Practice of Statistics
Statistics
ISBN:
9781319013387
Author:
David S. Moore, George P. McCabe, Bruce A. Craig
Publisher:
W. H. Freeman
SEE MORE TEXTBOOKS