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The length of human pregnancies is approximately normal with mean u= 266 days and standard deviation o = 16 days. Complete parts (a) through (f). Click here to view the standard normal distribution table (page 1). Click here to view the standard normal distribution table (page 2).

The length of human pregnancies is approximately normal with mean u= 266 days and standard deviation o = 16 days. Complete parts (a) through (f). Click here to view the standard normal distribution table (page 1). Click here to view the standard normal distribution table (page 2).

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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The length of human pregnancies is approximately normal with mean p = 266 days and standard deviation o = 16 days. Complete parts (a) through (f). Click here to view the standard normal distribution table (page 1). Click here to view the standard normal distribution table (page 2). (d) What is the probability that a random sample of 64 pregnancies has a mean gestation period of 261 days or less? The probability that the mean of a random sample of 64 pregnancies is less than 261 days is (Round to four decimal places as needed.) Interpret this probability. Select the correct choice below and fill in the answer box within your choice. (Round to the nearest integer as needed.) O A. If 100 independent random samples of size n= 64 pregnancies were obtained from this population, we would expect sample(s) to have a sample mean of exactly 261 days. B. If 100 independent random samples of size n= 64 pregnancies were obtained from this population, we would expect sample(s) to have a sample mean of 261 days or less. C. If 100 independent random samples of size n= 64 pregnancies were obtained from this population, we would expect sample(s) to have a sample mean of 261 days or more. (e) What might you conclude if a random sample of 64 pregnancies resulted in a mean gestation period of 261 days or less? This result would be so the sample likely came from a population whose mean gestation period is 266 days. (f) What is the probability a random sample of size 17 will have a mean gestation period within 10 days of the mean? The probability that a random sample of size 17 will have a mean gestation period within 10 days of the mean is. (Round to four decimal places as needed.)
Transcribed Image Text:The length of human pregnancies is approximately normal with mean p = 266 days and standard deviation o = 16 days. Complete parts (a) through (f). Click here to view the standard normal distribution table (page 1). Click here to view the standard normal distribution table (page 2). (d) What is the probability that a random sample of 64 pregnancies has a mean gestation period of 261 days or less? The probability that the mean of a random sample of 64 pregnancies is less than 261 days is (Round to four decimal places as needed.) Interpret this probability. Select the correct choice below and fill in the answer box within your choice. (Round to the nearest integer as needed.) O A. If 100 independent random samples of size n= 64 pregnancies were obtained from this population, we would expect sample(s) to have a sample mean of exactly 261 days. B. If 100 independent random samples of size n= 64 pregnancies were obtained from this population, we would expect sample(s) to have a sample mean of 261 days or less. C. If 100 independent random samples of size n= 64 pregnancies were obtained from this population, we would expect sample(s) to have a sample mean of 261 days or more. (e) What might you conclude if a random sample of 64 pregnancies resulted in a mean gestation period of 261 days or less? This result would be so the sample likely came from a population whose mean gestation period is 266 days. (f) What is the probability a random sample of size 17 will have a mean gestation period within 10 days of the mean? The probability that a random sample of size 17 will have a mean gestation period within 10 days of the mean is. (Round to four decimal places as needed.)
Area Page 1 Page 2 Area- Table V (continued) Table V Standard Normal Distribution Standard Normal Distribution 0,04 0,00 0,01 0.02 0.03 0.04 0,05 0,06 0.07 0.08 0.09 0,00 0,01 0,03 0,05 0,06 0,08 0,09 0.5120 0.5517 0.5910 0.6293 0,6664 0.5160 0.5557 0.5948 0.6331 0.6700 0.5199 0.5596 0.5000 0.5398 0.5793 0.6179 0.6554 0.5040 0.5438 0,5832 0,6217 0.6591 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 0,6480 0.6844 0.5359 0.5753 0.6141 0.6517 0.6879 0.0 0.5080 0.0003 0,0005 0.0003 0,0004 0.0006 0.0008 -3.4 -3.3 0.0003 0.0005 0.0007 0.0010 0.0003 0.0005 0.0003 0.0004 0,0003 0.0004 0.0005 0.0007 0,0010 0,0003 0.0003 0.0004 0,0003 0.0002 0.0003 0.0005 0,0007 0.0010 0.5478 0.5871 0.6255 0,6628 0.0004 0.0004 0.1 0.5987 0.6368 0.6736 0,2 -3.2 -3.1 -3,0 0.0007 0.0009 0.0013 0.0006 0.0009 0.0012 0.0005 0.0008 0.0006 0.0006 0.0006 0,0009 0.0013 0.3 0.4 0.0008 0.0008 0.0013 0.0012 0.0011 0,0011 0.0011 0.5 0.6 0.7 0.6915 0.7257 0.7580 0.7881 0.8159 0,6950 0.7291 0.7611 0,6985 0.7324 0.7642 0.7939 0.8212 0.7019 0.7357 0.7673 0.7967 0.8238 0.7123 0.7454 0.7764 0.8051 0.8315 0.7157 0.7486 0.7794 0.8078 0.8340 0.7054 -2.9 -2.8 -2.7 -2.6 -2.5 0.0019 0.0026 0,0035 0.0047 0.0062 0,0018 0.0025 0.0034 0.0045 0.0060 0,0018 0.0024 0.0033 0.0044 0.0017 0,0023 0.0032 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 0.0014 0,0020 0.0027 0.0037 0,0014 0,0019 0.0026 0.0036 0.0048 0.7088 0.7422 0.7734 0.8023 0.8289 0.7190 0.7517 0,7823 0.7224 0.7549 0.7852 0.8133 0.8389 0.7389 0.7704 0.0043 0.0057 0.8 0.7910 0.7995 0.8106 0.0059 0.0051 0,0049 0.9 0.8186 0.8264 0.8365 0.8413 0.8643 0.8849 0.9032 0.9192 0,8438 0.8665 0.8508 0.8729 0.8925 0.9099 0.8554 0.8770 0.8962 0.9131 0.9279 1.0 0.8461 0.8485 0.8531 0.8577 0,8599 0.8621 0.8830 0.0082 0.0107 0,0139 0.0078 0.0102 0.0132 0.0170 0.0217 0.0071 0.0094 0.0122 0.0158 0.0202 0.0075 0.0073 0.0064 -2.4 -2.3 0.0080 0.0104 0.0136 0.0069 0.0091 0.0068 0.0089 0.0066 0.0087 0.8708 0.8907 0.9082 0.9236 0.8790 0.8980 0.9147 0.9292 0.8810 0.8997 0.9162 0,9306 1.1 0.8686 0.8749 0.8944 0.9115 0.9265 0,0099 0.0096 0.0084 -2,2 -2.1 -2.0 0.0129 0.0166 0.0212 0.0125 0.0162 0,0207 0,0119 0,0154 0.0113 0.0146 0.0188 1.2 1.3 1.4 0.9015 0.9177 0.9319 0,8869 0.8888 0.0179 0.0228 0.0174 0.0222 0,0116 0,0150 0.0192 0.0110 0.0143 0.0183 0.9049 0.9207 0,9066 0.0197 0.9222 0.9251 0.0256 0.0322 0.0401 0.0495 0.0244 0.0307 0.0384 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 0.9370 0.9484 0.9582 0.9664 0.9732 0.9418 0.9525 0.9616 0.9693 0.9756 0.9429 0,9535 0.9625 0.9699 0.9761 0.9441 0.9545 0.9633 0.9706 0.9767 0.9382 0.9495 -1.9 -1.8 -1.7 0,0287 0,0359 0,0446 0.0548 0.0281 0.0351 0.0436 0.0537 0.0655 0.0268 0.0336 0.0418 0.0516 0.0630 0.0262 0.0329 0.0409 0.0505 0.0618 0.0250 0.0314 0,0392 0.9394 0.9505 0.9599 0.9678 0.9744 0.9406 0.9515 0.9608 0.0274 0.0344 0.0233 0.0294 0.0367 0.0455 0.0559 0.9591 0.0427 0.0526 -1.6 -1.5 0.0485 0.0594 0.0475 0.0582 1.8 1.9 0.9641 0.9713 0.9671 0.9738 0.9649 0.9686 0.0668 0.0643 0.0606 0.9719 0.9750 0.0778 0.0934 0.1112 0.1314 0.1539 0.0749 0.0901 0.0808 0,0968 0.1151 0.1357 0.1587 0.0793 0.0951 0.1131 0.1335 0.1562 0.0721 0,0869 0.1038 0.1230 0.1446 0.9778 0.9826 0.9864 0.9896 0.9920 0.9783 0.9830 0.9868 0.9898 0.9922 0.9808 0.9850 0.9884 0.9911 0.9932 0.0764 0.0918 0.0735 0.0885 0.0708 0.0681 0.0823 0,0985 0.1170 0.1379 0.9788 0.9834 0.9871 0.9901 0.9925 0.9798 0.9842 0.9878 0.9906 0.9803 0.9817 -1.4 -1.3 -1.2 -1.1 0.0694 0,0838 0,1003 0,1190 0.1401 2.0 0.9772 0.9793 0.9812 0,0853 0.1020 0.1210 0,1423 0.9838 0.9875 0.9904 0.9927 0.9854 0.9887 0.9913 0.9934 2.1 0.9821 0.9846 0.9857 0.1093 0.1292 0.1515 0.1075 0.1271 0.1492 0.9861 0.9893 0.9918 0.1056 0.9881 0.9909 0.9931 0.9890 0.9916 0.9936 2.2 0.1251 0.1469 2.3 -1.0 2.4 0.9929 -0,9 -0,8 -0.7 -0,6 -0.5 0.1841 02119 02420 0,2743 0.3085 0.1814 0,2090 0.2389 0.2709 0.3050 0.1788 0.2061 0,2358 0.2676 0.1762 0,2033 0,2327 0.2643 0.2981 0.1736 0,2005 0.2296 0,2611 0,2946 0.1711 0.1977 0.2266 0,2578 0.2912 0.1685 0.1949 0.2236 0,2546 0.2877 0.1660 0.1922 0.2206 0.2514 0.2843 0.1635 0.1894 0.2177 0,2483 0.1611 0.1867 0.2148 0.2451 0,2776 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 0.9975 0,9982 0.9941 0.9956 0.9967 0.9976 0,9982 0.9943 0.9957 0.9968 0.9945 0.9959 0.9969 0.9946 0.9960 0.9970 0.9978 0.9984 0.9948 0.9961 0.9971 0.9979 0.9985 0.9951 0.9963 0.9952 0.9964 0.9974 0.9981 0,9986 0.9949 0.9962 0.9972 0.9979 0,9985 0.9973 0.9980 0.9977 0.9983 0.9977 0.9984 0.3015 0.2810 0.9986 0.3372 0.3745 0.3446 0,3821 0.4207 0.4602 0,5000 0.3228 0.3594 0.3156 0.3520 0,3897 0,4286 0,4681 0.3121 0.3483 0.3859 0.4247 0.4641 -0,4 0.3409 0.3783 0.3336 0.3707 0.3300 0.3669 0.4052 0.3264 0.3632 0.4013 0,4404 0.4801 0.3192 0.3557 0.3936 0.9987 0,9990 0,9993 0,9995 0.9997 0.9987 0.9991 0,9993 0,9995 0.9997 3,0 0.9987 0,9988 0.9988 0.9992 0.9994 0.9996 0.9997 0.9989 0.9989 0.9989 0.9990 0.9990 -0.3 0,9992 0.9994 0.9996 0.9992 0.9995 0.9996 0.9997 0.9993 0.9995 0.4129 0.4522 0.4920 0.4090 0.4483 0.4880 0.3974 0.4364 0.4761 3.1 3.2 3.3 0.9991 0,9994 0,9995 0.9997 0,9991 0.9994 0,9996 0.9992 0.9994 0.9996 0.9997 0.9993 0.9995 0.9996 0.9997 -0,2 0.4168 0.4562 0.4960 0.4443 0.4840 0,4325 0.4721 -0.1 0.9997 0.9998 -0,0 3.4 0.9997 0.9997
Transcribed Image Text:Area Page 1 Page 2 Area- Table V (continued) Table V Standard Normal Distribution Standard Normal Distribution 0,04 0,00 0,01 0.02 0.03 0.04 0,05 0,06 0.07 0.08 0.09 0,00 0,01 0,03 0,05 0,06 0,08 0,09 0.5120 0.5517 0.5910 0.6293 0,6664 0.5160 0.5557 0.5948 0.6331 0.6700 0.5199 0.5596 0.5000 0.5398 0.5793 0.6179 0.6554 0.5040 0.5438 0,5832 0,6217 0.6591 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 0,6480 0.6844 0.5359 0.5753 0.6141 0.6517 0.6879 0.0 0.5080 0.0003 0,0005 0.0003 0,0004 0.0006 0.0008 -3.4 -3.3 0.0003 0.0005 0.0007 0.0010 0.0003 0.0005 0.0003 0.0004 0,0003 0.0004 0.0005 0.0007 0,0010 0,0003 0.0003 0.0004 0,0003 0.0002 0.0003 0.0005 0,0007 0.0010 0.5478 0.5871 0.6255 0,6628 0.0004 0.0004 0.1 0.5987 0.6368 0.6736 0,2 -3.2 -3.1 -3,0 0.0007 0.0009 0.0013 0.0006 0.0009 0.0012 0.0005 0.0008 0.0006 0.0006 0.0006 0,0009 0.0013 0.3 0.4 0.0008 0.0008 0.0013 0.0012 0.0011 0,0011 0.0011 0.5 0.6 0.7 0.6915 0.7257 0.7580 0.7881 0.8159 0,6950 0.7291 0.7611 0,6985 0.7324 0.7642 0.7939 0.8212 0.7019 0.7357 0.7673 0.7967 0.8238 0.7123 0.7454 0.7764 0.8051 0.8315 0.7157 0.7486 0.7794 0.8078 0.8340 0.7054 -2.9 -2.8 -2.7 -2.6 -2.5 0.0019 0.0026 0,0035 0.0047 0.0062 0,0018 0.0025 0.0034 0.0045 0.0060 0,0018 0.0024 0.0033 0.0044 0.0017 0,0023 0.0032 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 0.0014 0,0020 0.0027 0.0037 0,0014 0,0019 0.0026 0.0036 0.0048 0.7088 0.7422 0.7734 0.8023 0.8289 0.7190 0.7517 0,7823 0.7224 0.7549 0.7852 0.8133 0.8389 0.7389 0.7704 0.0043 0.0057 0.8 0.7910 0.7995 0.8106 0.0059 0.0051 0,0049 0.9 0.8186 0.8264 0.8365 0.8413 0.8643 0.8849 0.9032 0.9192 0,8438 0.8665 0.8508 0.8729 0.8925 0.9099 0.8554 0.8770 0.8962 0.9131 0.9279 1.0 0.8461 0.8485 0.8531 0.8577 0,8599 0.8621 0.8830 0.0082 0.0107 0,0139 0.0078 0.0102 0.0132 0.0170 0.0217 0.0071 0.0094 0.0122 0.0158 0.0202 0.0075 0.0073 0.0064 -2.4 -2.3 0.0080 0.0104 0.0136 0.0069 0.0091 0.0068 0.0089 0.0066 0.0087 0.8708 0.8907 0.9082 0.9236 0.8790 0.8980 0.9147 0.9292 0.8810 0.8997 0.9162 0,9306 1.1 0.8686 0.8749 0.8944 0.9115 0.9265 0,0099 0.0096 0.0084 -2,2 -2.1 -2.0 0.0129 0.0166 0.0212 0.0125 0.0162 0,0207 0,0119 0,0154 0.0113 0.0146 0.0188 1.2 1.3 1.4 0.9015 0.9177 0.9319 0,8869 0.8888 0.0179 0.0228 0.0174 0.0222 0,0116 0,0150 0.0192 0.0110 0.0143 0.0183 0.9049 0.9207 0,9066 0.0197 0.9222 0.9251 0.0256 0.0322 0.0401 0.0495 0.0244 0.0307 0.0384 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 0.9370 0.9484 0.9582 0.9664 0.9732 0.9418 0.9525 0.9616 0.9693 0.9756 0.9429 0,9535 0.9625 0.9699 0.9761 0.9441 0.9545 0.9633 0.9706 0.9767 0.9382 0.9495 -1.9 -1.8 -1.7 0,0287 0,0359 0,0446 0.0548 0.0281 0.0351 0.0436 0.0537 0.0655 0.0268 0.0336 0.0418 0.0516 0.0630 0.0262 0.0329 0.0409 0.0505 0.0618 0.0250 0.0314 0,0392 0.9394 0.9505 0.9599 0.9678 0.9744 0.9406 0.9515 0.9608 0.0274 0.0344 0.0233 0.0294 0.0367 0.0455 0.0559 0.9591 0.0427 0.0526 -1.6 -1.5 0.0485 0.0594 0.0475 0.0582 1.8 1.9 0.9641 0.9713 0.9671 0.9738 0.9649 0.9686 0.0668 0.0643 0.0606 0.9719 0.9750 0.0778 0.0934 0.1112 0.1314 0.1539 0.0749 0.0901 0.0808 0,0968 0.1151 0.1357 0.1587 0.0793 0.0951 0.1131 0.1335 0.1562 0.0721 0,0869 0.1038 0.1230 0.1446 0.9778 0.9826 0.9864 0.9896 0.9920 0.9783 0.9830 0.9868 0.9898 0.9922 0.9808 0.9850 0.9884 0.9911 0.9932 0.0764 0.0918 0.0735 0.0885 0.0708 0.0681 0.0823 0,0985 0.1170 0.1379 0.9788 0.9834 0.9871 0.9901 0.9925 0.9798 0.9842 0.9878 0.9906 0.9803 0.9817 -1.4 -1.3 -1.2 -1.1 0.0694 0,0838 0,1003 0,1190 0.1401 2.0 0.9772 0.9793 0.9812 0,0853 0.1020 0.1210 0,1423 0.9838 0.9875 0.9904 0.9927 0.9854 0.9887 0.9913 0.9934 2.1 0.9821 0.9846 0.9857 0.1093 0.1292 0.1515 0.1075 0.1271 0.1492 0.9861 0.9893 0.9918 0.1056 0.9881 0.9909 0.9931 0.9890 0.9916 0.9936 2.2 0.1251 0.1469 2.3 -1.0 2.4 0.9929 -0,9 -0,8 -0.7 -0,6 -0.5 0.1841 02119 02420 0,2743 0.3085 0.1814 0,2090 0.2389 0.2709 0.3050 0.1788 0.2061 0,2358 0.2676 0.1762 0,2033 0,2327 0.2643 0.2981 0.1736 0,2005 0.2296 0,2611 0,2946 0.1711 0.1977 0.2266 0,2578 0.2912 0.1685 0.1949 0.2236 0,2546 0.2877 0.1660 0.1922 0.2206 0.2514 0.2843 0.1635 0.1894 0.2177 0,2483 0.1611 0.1867 0.2148 0.2451 0,2776 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 0.9975 0,9982 0.9941 0.9956 0.9967 0.9976 0,9982 0.9943 0.9957 0.9968 0.9945 0.9959 0.9969 0.9946 0.9960 0.9970 0.9978 0.9984 0.9948 0.9961 0.9971 0.9979 0.9985 0.9951 0.9963 0.9952 0.9964 0.9974 0.9981 0,9986 0.9949 0.9962 0.9972 0.9979 0,9985 0.9973 0.9980 0.9977 0.9983 0.9977 0.9984 0.3015 0.2810 0.9986 0.3372 0.3745 0.3446 0,3821 0.4207 0.4602 0,5000 0.3228 0.3594 0.3156 0.3520 0,3897 0,4286 0,4681 0.3121 0.3483 0.3859 0.4247 0.4641 -0,4 0.3409 0.3783 0.3336 0.3707 0.3300 0.3669 0.4052 0.3264 0.3632 0.4013 0,4404 0.4801 0.3192 0.3557 0.3936 0.9987 0,9990 0,9993 0,9995 0.9997 0.9987 0.9991 0,9993 0,9995 0.9997 3,0 0.9987 0,9988 0.9988 0.9992 0.9994 0.9996 0.9997 0.9989 0.9989 0.9989 0.9990 0.9990 -0.3 0,9992 0.9994 0.9996 0.9992 0.9995 0.9996 0.9997 0.9993 0.9995 0.4129 0.4522 0.4920 0.4090 0.4483 0.4880 0.3974 0.4364 0.4761 3.1 3.2 3.3 0.9991 0,9994 0,9995 0.9997 0,9991 0.9994 0,9996 0.9992 0.9994 0.9996 0.9997 0.9993 0.9995 0.9996 0.9997 -0,2 0.4168 0.4562 0.4960 0.4443 0.4840 0,4325 0.4721 -0.1 0.9997 0.9998 -0,0 3.4 0.9997 0.9997
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