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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). %3D Click here to view the standard normal distribution table (page 1). Click here to view the standard normal distribution table (page 2). (a) What is the probability that a randomly selected pregnancy lasts less than 261 days? The probability that a randomly selected pregnancy lasts less than 261 days is approximately (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 pregnant individuals were selected independently from this population, we would expect pregnancies to last less than 261 days. O B. If 100 pregnant individuals were selected independently from this population, we would expect pregnancies to last exactly 261 days. O C. If 100 pregnant individuals were selected independently from this population, we would expect pregnancies to last more than 261 days. (b) Suppose a random sample of 30 human pregnancies is obtained. Describe the sampling distribution of the sample mean length of pregnancies. The sampling distribution of x is with H; = and o; =- (Round to four decimal places as needed.)

The length of human pregnancies is approximately normal with mean u = 266 days and standard deviation o= 16 days. Complete parts (a) through (f). %3D Click here to view the standard normal distribution table (page 1). Click here to view the standard normal distribution table (page 2). (a) What is the probability that a randomly selected pregnancy lasts less than 261 days? The probability that a randomly selected pregnancy lasts less than 261 days is approximately (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 pregnant individuals were selected independently from this population, we would expect pregnancies to last less than 261 days. O B. If 100 pregnant individuals were selected independently from this population, we would expect pregnancies to last exactly 261 days. O C. If 100 pregnant individuals were selected independently from this population, we would expect pregnancies to last more than 261 days. (b) Suppose a random sample of 30 human pregnancies is obtained. Describe the sampling distribution of the sample mean length of pregnancies. The sampling distribution of x is with H; = and o; =- (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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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). (a) What is the probability that a randomly selected pregnancy lasts less than 261 days? The probability that a randomly selected pregnancy lasts less than 261 days is approximately (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.) A. If 100 pregnant individuals were selected independently from this population, we would expect pregnancies to last less than 261 days. O B. If 100 pregnant individuals were selected independently from this population, we would expect pregnancies to last exactly 261 days. C. If 100 pregnant individuals were selected independently from this population, we would expect pregnancies to last more than 261 days. (b) Suppose a random sample of 30 human pregnancies is obtained. Describe the sampling distribution of the sample mean length of pregnancies. The sampling distribution of x is with Hx and o; = (Round to four decimal places as needed.) (c) What is the probability that a random sample of 30 pregnancies has a mean gestation period of 261 days or less? The probability that the mean of a random sample of 30 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= 30 pregnancies were obtained from this population, we would expect sample(s) to have a sample mean of 261 days or less. B. If 100 independent random samples of size n= 30 pregnancies were obtained from this population, we would expect sample(s) to have a sample mean of 261 days or more. O C. If 100 independent random samples of size n= 30 pregnancies were obtained from this population, we would expect sample(s) to have a sample mean of exactly 261 days.
Transcribed Image Text: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). (a) What is the probability that a randomly selected pregnancy lasts less than 261 days? The probability that a randomly selected pregnancy lasts less than 261 days is approximately (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.) A. If 100 pregnant individuals were selected independently from this population, we would expect pregnancies to last less than 261 days. O B. If 100 pregnant individuals were selected independently from this population, we would expect pregnancies to last exactly 261 days. C. If 100 pregnant individuals were selected independently from this population, we would expect pregnancies to last more than 261 days. (b) Suppose a random sample of 30 human pregnancies is obtained. Describe the sampling distribution of the sample mean length of pregnancies. The sampling distribution of x is with Hx and o; = (Round to four decimal places as needed.) (c) What is the probability that a random sample of 30 pregnancies has a mean gestation period of 261 days or less? The probability that the mean of a random sample of 30 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= 30 pregnancies were obtained from this population, we would expect sample(s) to have a sample mean of 261 days or less. B. If 100 independent random samples of size n= 30 pregnancies were obtained from this population, we would expect sample(s) to have a sample mean of 261 days or more. O C. If 100 independent random samples of size n= 30 pregnancies were obtained from this population, we would expect sample(s) to have a sample mean of exactly 261 days.
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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