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ere to view the standard normal distribution table (page 1) here to view the standard normal distribution table_(page 2). scribe the sampling distribution of p. se the phrase that best describes the shape of the sampling distribution below. Approximately normal becausens0.05N and np(1 - p) < 10. Not normal because ns0.05N and np(1 - p) < 10. Approximately normal becausens0.05N and np(1 - p) 2 10. Not normal because ns0.05N and np(1- p)2 10. mine the mean of the sampling distribution of p. (Round to one decimal place as needed.) mine the standard deviation of the sampling distribution of p. (Round to six decimal places as needed.) hat is the probability of obtaining x = 55 or more individuals with the characteristic? That is, what is P(p20.44)? D.44) =| (Round to four decimal places as needed.) hat is the probability of obtaining x= 40 or fewer individuals with the characteristic? That is, what is P(ps0.32)? D.32) = (Round to four decimal places as needed.)

ere to view the standard normal distribution table (page 1) here to view the standard normal distribution table_(page 2). scribe the sampling distribution of p. se the phrase that best describes the shape of the sampling distribution below. Approximately normal becausens0.05N and np(1 - p) < 10. Not normal because ns0.05N and np(1 - p) < 10. Approximately normal becausens0.05N and np(1 - p) 2 10. Not normal because ns0.05N and np(1- p)2 10. mine the mean of the sampling distribution of p. (Round to one decimal place as needed.) mine the standard deviation of the sampling distribution of p. (Round to six decimal places as needed.) hat is the probability of obtaining x = 55 or more individuals with the characteristic? That is, what is P(p20.44)? D.44) =| (Round to four decimal places as needed.) hat is the probability of obtaining x= 40 or fewer individuals with the characteristic? That is, what is P(ps0.32)? D.32) = (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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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 0.5000 0.5398 0.5793 0.5040 0.5438 0.5832 0.6217 0.6591 0.5080 0.5478 0.5871 0.5120 0.5517 0.5910 0.5160 0.5557 0.5948 0.6331 0.6700 0.5199 0.5596 0.5987 0.5239 0.5636 0.6026 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 0.0 -3.4 -3.3 -3.2 0.0003 0.0005 0.0007 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 0.0005 0.0003 0.0004 0.0005 0.0007 0.0010 0.0002 0.0003 0.0005 0.1 0.2 -3.1 -3.0 0.0010 0.0013 0.0009 0.0013 0.0009 0.0013 0.0009 0.0012 0.0008 0.0012 0.0008 0.0011 0.0008 0.0011 0.0008 0.0011 0.0007 0.0010 0.3 0.4 0.6179 0.6554 0.6255 0.6628 0.6293 0.6664 0.6368 0.6736 0.6406 0.6772 0.6517 0.6879 -29 -2.8 -2.7 0.0018 0.0025 0.0034 0.0018 0.0024 0.0033 0.0017 0.0023 0.0032 0.0016 0.0022 0.0030 0.0015 0.0021 0.0029 0.0015 0.0021 0.0028 0.0038 0.0051 0.5 0.6 0.7 0.6915 0.7257 0.7580 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 0.7054 0.7389 0.7704 0.7995 0.8264 0.7088 0.7422 0.7734 0.7123 0.7454 0.7764 0.7157 0.7486 0.7794 0.8078 0.8340 0.7190 0.7517 0.7823 0.7224 0.7549 0.7852 0.8133 0.8389 0.0019 0.0026 0.0035 0.0047 0.0062 0.0016 0.0023 0.0031 0.0014 0.0020 0.0027 0.0014 0.0019 0.0026 0.7881 0.8159 0.7910 0.8186 0.8023 0.8289 0.8051 0.8315 0.8 0.8106 0.0045 0.0060 0.0044 0.0059 0.0043 0.0057 -2.6 0.0041 0.0055 0.0040 0.0054 0.0039 0.0052 0.0037 0.0036 0.0048 0.9 0.8365 -2.5 0.0049 -2.4 -2.3 -2.2 0.0082 0.0107 0.0139 0.0078 0.0102 0.0132 0.0170 0.0217 0.0073 0.0096 0.0125 0.0068 0.0089 0.0116 1.0 1.1 1.2 0.8413 0.8643 0.8849 0.8438 0.8665 0.8869 0.9049 0.9207 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 0.9131 0.9279 0.8577 0.8790 0.8980 0.9147 0.9292 0.8599 0.8810 0.8997 0.8621 0.8830 0.9015 0.9177 0.9319 0.0080 0.0104 0.0136 0.0075 0.0099 0.0129 0.0166 0.0212 0.0071 0.0094 0.0122 0.0158 0.0202 0.0069 0.0091 0.0119 0.0066 0.0087 0.0113 0.0146 0.0188 0.0064 0.0084 0.0110 1.3 1.4 0.9066 0.9222 0.9082 0.9236 0.9099 0.9251 0.9162 0.9306 0.9032 0.0154 0.0197 -2.1 0.0179 0.0228 0.0174 0.0222 0.0162 0.0207 0.0150 0.0192 0.0143 0.0183 0.9192 -2.0 -1.9 -1.8 -1.7 -1.6 -1.5 0.0287 0.0359 0.0446 0.0548 0.0668 0.0274 0.0344 0.0427 0.0526 0.0643 0.0256 0.0322 0.0401 0.0495 0.0606 0.0250 0.0314 0.0392 0.0244 0.0307 0.0384 0.0475 0.0582 0.0239 0.0301 0.0375 1.5 1.6 1.7 0.9332 0.9452 0.9554 0.9641 0.9713 0.9345 0.9463 0.9564 0.9357 0.9474 9573 0.9370 0.9484 0.9582 0.9382 0.9495 0.9591 0.9394 0.9505 0.9599 0.9678 0.9744 0.9406 0.9515 0.9608 0.9418 0.9525 0.9616 0.9429 0.9535 0.9625 0.9441 0.9545 0.9633 0.9706 0.9767 0.0281 0.0351 0.0436 0.0268 0.0336 0.0418 0.0262 0.0329 0.0409 0.0233 0.0294 0.0367 1.8 1.9 0.9649 0.9719 0.9656 0.9726 0.9693 0.9756 0.9664 0.0537 0.0655 0.0516 0.0630 0.0505 0.0618 0.0485 0.0594 0.0465 0.0571 0.0455 0.0559 0.9671 0.9738 0.9686 0.9750 0.9699 0.9761 0.9732 0.0808 0.0968 0.1151 0.0735 0.0885 0.1056 0.1251 0.1469 0.0694 0.0838 0.1003 0.1190 0.1401 0.0681 0.0823 0.0985 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 0.9798 0.9842 0.9878 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 -1.4 -1.3 -1.2 0.0793 0.0951 0.1131 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 0.0721 0.0869 0.1038 0.1230 0.1446 0.0708 0.0853 0.1020 0.1210 0.1423 2.3 2.4 0.9893 0.9918 0.9896 0.9920 0.9906 0.9929 0.9913 0.9934 0.9916 0.9936 0.9901 -1.1 -1.0 0.1357 0.1587 0.1335 0.1562 0.1314 0.1539 0.1170 0.1379 0.9904 0.9927 0.9909 0.9931 0.9925 0.1841 0.2119 0.2420 0.2743 0.3085 0.1814 0.2090 0.2389 0.1635 0.1894 0.2177 0.2483 0.2810 2.5 2.6 2.7 0.9938 0.9953 0.9965 0.9940 0.9955 0.9966 0.9941 0.9956 0.9967 0.9943 0.9957 0.9968 0.9977 0.9983 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 0.9980 0.9986 0.9952 0.9964 0.9974 0.9981 0.9986 0.1788 0.2061 0.2358 0.1762 0.2033 0.2327 0.1736 0.2005 0.2296 0.1711 0.1977 0.2266 0.2578 0.2912 0.1685 0.1949 0.2236 0.1611 0.1867 0.2148 -0.9 0.1660 0.1922 0.2206 0.2514 0.2843 -0.8 -0.7 2.8 2.9 0.9974 0.9981 0.9975 0.9982 0.9976 0.9982 0.9977 0.9984 0.9978 0.9984 0.9979 0.9979 0.2676 0.3015 0.2643 0.2981 0.2611 0.2946 0.2546 0.2877 0.2451 0.2776 -0.6 0.2709 0.9985 0.9985 -0.5 0.3050 0.3121 0.3483 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 0.3446 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 -0.3 O AD
Transcribed Image Text: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 0.5000 0.5398 0.5793 0.5040 0.5438 0.5832 0.6217 0.6591 0.5080 0.5478 0.5871 0.5120 0.5517 0.5910 0.5160 0.5557 0.5948 0.6331 0.6700 0.5199 0.5596 0.5987 0.5239 0.5636 0.6026 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 0.0 -3.4 -3.3 -3.2 0.0003 0.0005 0.0007 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 0.0005 0.0003 0.0004 0.0005 0.0007 0.0010 0.0002 0.0003 0.0005 0.1 0.2 -3.1 -3.0 0.0010 0.0013 0.0009 0.0013 0.0009 0.0013 0.0009 0.0012 0.0008 0.0012 0.0008 0.0011 0.0008 0.0011 0.0008 0.0011 0.0007 0.0010 0.3 0.4 0.6179 0.6554 0.6255 0.6628 0.6293 0.6664 0.6368 0.6736 0.6406 0.6772 0.6517 0.6879 -29 -2.8 -2.7 0.0018 0.0025 0.0034 0.0018 0.0024 0.0033 0.0017 0.0023 0.0032 0.0016 0.0022 0.0030 0.0015 0.0021 0.0029 0.0015 0.0021 0.0028 0.0038 0.0051 0.5 0.6 0.7 0.6915 0.7257 0.7580 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 0.7054 0.7389 0.7704 0.7995 0.8264 0.7088 0.7422 0.7734 0.7123 0.7454 0.7764 0.7157 0.7486 0.7794 0.8078 0.8340 0.7190 0.7517 0.7823 0.7224 0.7549 0.7852 0.8133 0.8389 0.0019 0.0026 0.0035 0.0047 0.0062 0.0016 0.0023 0.0031 0.0014 0.0020 0.0027 0.0014 0.0019 0.0026 0.7881 0.8159 0.7910 0.8186 0.8023 0.8289 0.8051 0.8315 0.8 0.8106 0.0045 0.0060 0.0044 0.0059 0.0043 0.0057 -2.6 0.0041 0.0055 0.0040 0.0054 0.0039 0.0052 0.0037 0.0036 0.0048 0.9 0.8365 -2.5 0.0049 -2.4 -2.3 -2.2 0.0082 0.0107 0.0139 0.0078 0.0102 0.0132 0.0170 0.0217 0.0073 0.0096 0.0125 0.0068 0.0089 0.0116 1.0 1.1 1.2 0.8413 0.8643 0.8849 0.8438 0.8665 0.8869 0.9049 0.9207 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 0.9131 0.9279 0.8577 0.8790 0.8980 0.9147 0.9292 0.8599 0.8810 0.8997 0.8621 0.8830 0.9015 0.9177 0.9319 0.0080 0.0104 0.0136 0.0075 0.0099 0.0129 0.0166 0.0212 0.0071 0.0094 0.0122 0.0158 0.0202 0.0069 0.0091 0.0119 0.0066 0.0087 0.0113 0.0146 0.0188 0.0064 0.0084 0.0110 1.3 1.4 0.9066 0.9222 0.9082 0.9236 0.9099 0.9251 0.9162 0.9306 0.9032 0.0154 0.0197 -2.1 0.0179 0.0228 0.0174 0.0222 0.0162 0.0207 0.0150 0.0192 0.0143 0.0183 0.9192 -2.0 -1.9 -1.8 -1.7 -1.6 -1.5 0.0287 0.0359 0.0446 0.0548 0.0668 0.0274 0.0344 0.0427 0.0526 0.0643 0.0256 0.0322 0.0401 0.0495 0.0606 0.0250 0.0314 0.0392 0.0244 0.0307 0.0384 0.0475 0.0582 0.0239 0.0301 0.0375 1.5 1.6 1.7 0.9332 0.9452 0.9554 0.9641 0.9713 0.9345 0.9463 0.9564 0.9357 0.9474 9573 0.9370 0.9484 0.9582 0.9382 0.9495 0.9591 0.9394 0.9505 0.9599 0.9678 0.9744 0.9406 0.9515 0.9608 0.9418 0.9525 0.9616 0.9429 0.9535 0.9625 0.9441 0.9545 0.9633 0.9706 0.9767 0.0281 0.0351 0.0436 0.0268 0.0336 0.0418 0.0262 0.0329 0.0409 0.0233 0.0294 0.0367 1.8 1.9 0.9649 0.9719 0.9656 0.9726 0.9693 0.9756 0.9664 0.0537 0.0655 0.0516 0.0630 0.0505 0.0618 0.0485 0.0594 0.0465 0.0571 0.0455 0.0559 0.9671 0.9738 0.9686 0.9750 0.9699 0.9761 0.9732 0.0808 0.0968 0.1151 0.0735 0.0885 0.1056 0.1251 0.1469 0.0694 0.0838 0.1003 0.1190 0.1401 0.0681 0.0823 0.0985 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 0.9798 0.9842 0.9878 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 -1.4 -1.3 -1.2 0.0793 0.0951 0.1131 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 0.0721 0.0869 0.1038 0.1230 0.1446 0.0708 0.0853 0.1020 0.1210 0.1423 2.3 2.4 0.9893 0.9918 0.9896 0.9920 0.9906 0.9929 0.9913 0.9934 0.9916 0.9936 0.9901 -1.1 -1.0 0.1357 0.1587 0.1335 0.1562 0.1314 0.1539 0.1170 0.1379 0.9904 0.9927 0.9909 0.9931 0.9925 0.1841 0.2119 0.2420 0.2743 0.3085 0.1814 0.2090 0.2389 0.1635 0.1894 0.2177 0.2483 0.2810 2.5 2.6 2.7 0.9938 0.9953 0.9965 0.9940 0.9955 0.9966 0.9941 0.9956 0.9967 0.9943 0.9957 0.9968 0.9977 0.9983 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 0.9980 0.9986 0.9952 0.9964 0.9974 0.9981 0.9986 0.1788 0.2061 0.2358 0.1762 0.2033 0.2327 0.1736 0.2005 0.2296 0.1711 0.1977 0.2266 0.2578 0.2912 0.1685 0.1949 0.2236 0.1611 0.1867 0.2148 -0.9 0.1660 0.1922 0.2206 0.2514 0.2843 -0.8 -0.7 2.8 2.9 0.9974 0.9981 0.9975 0.9982 0.9976 0.9982 0.9977 0.9984 0.9978 0.9984 0.9979 0.9979 0.2676 0.3015 0.2643 0.2981 0.2611 0.2946 0.2546 0.2877 0.2451 0.2776 -0.6 0.2709 0.9985 0.9985 -0.5 0.3050 0.3121 0.3483 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 0.3446 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 -0.3 O AD
Suppose a simple random sample of size n = 125 is obtained from a population whose size is N= 30,000 and whose population proportion with a specified characteristic is p= 0.4. Click here to view the standard normal distribution table (page 1) Click here to view the standard normal distribution table (page 2). ..... (a) Describe the sampling distribution of p. Choose the phrase that best describes the shape of the sampling distribution below. O A. Approximately normal because ns0.05N and np(1 - p) < 10. O B. Not normal because n <0.05N and np(1 - p)< 10. C. Approximately normal because n<0.05N and np(1 - p) 2 10. O D. Not normal because ns0.05N and np(1 - p) > 10. Determine the mean of the sampling distribution of p. HA = (Round to one decimal place as needed.) Determine the standard deviation of the sampling distribution of p. On = (Round to six decimal places as needed.) (b) What is the probability of obtaining x = 55 or more individuals with the characteristic? That is, what is P(p20.44)? P(p20.44) =| (Round to four decimal places as needed.) (c) What is the probability of obtaining x = 40 or fewer individuals with the characteristic? That is, what is P(ps0.32)? P(ps0.32) = (Round to four decimal places as needed.) %3D
Transcribed Image Text:Suppose a simple random sample of size n = 125 is obtained from a population whose size is N= 30,000 and whose population proportion with a specified characteristic is p= 0.4. Click here to view the standard normal distribution table (page 1) Click here to view the standard normal distribution table (page 2). ..... (a) Describe the sampling distribution of p. Choose the phrase that best describes the shape of the sampling distribution below. O A. Approximately normal because ns0.05N and np(1 - p) < 10. O B. Not normal because n <0.05N and np(1 - p)< 10. C. Approximately normal because n<0.05N and np(1 - p) 2 10. O D. Not normal because ns0.05N and np(1 - p) > 10. Determine the mean of the sampling distribution of p. HA = (Round to one decimal place as needed.) Determine the standard deviation of the sampling distribution of p. On = (Round to six decimal places as needed.) (b) What is the probability of obtaining x = 55 or more individuals with the characteristic? That is, what is P(p20.44)? P(p20.44) =| (Round to four decimal places as needed.) (c) What is the probability of obtaining x = 40 or fewer individuals with the characteristic? That is, what is P(ps0.32)? P(ps0.32) = (Round to four decimal places as needed.) %3D
Expert Solution
Step 1

We have given that 

Sample size n=125 

Population proportion p= 0.4

Sample proportion p^=x/n 

Population size N= 30,000

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