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Suppose a simple random sample of size n = 125 is obtained from a population whose size is N= 25,000 and whose population proportion with a specified characteristic is p= 0.2. 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 ns0.05N and np(1 - p)< 10. OC. Approximately normal because ns0.05N and np(1 - p) 2 10. O D. Not normal because ns0.05N and np(1 - p) 2 10.

Suppose a simple random sample of size n = 125 is obtained from a population whose size is N= 25,000 and whose population proportion with a specified characteristic is p= 0.2. 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 ns0.05N and np(1 - p)< 10. OC. Approximately normal because ns0.05N and np(1 - p) 2 10. O D. Not normal because ns0.05N and np(1 - p) 2 10.

Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018
Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018
18th Edition
ISBN:9780079039897
Author:Carter
Publisher:Carter
Chapter10: Statistics
Section10.4: Distributions Of Data
Problem 19PFA
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Suppose a simple random sample of size n = 125 is obtained from a population whose size is N = 25,000 and whose population proportion with a specified characteristic is p= 0.2. 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 Choose the phrase that best describes the shape of the sampling distribution below. A. Approximately normal because n<0.05N and np(1 - p) < 10. 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. D. Not normal because n<0.05N and np(1 - p) > 10.
Transcribed Image Text:Suppose a simple random sample of size n = 125 is obtained from a population whose size is N = 25,000 and whose population proportion with a specified characteristic is p= 0.2. 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 Choose the phrase that best describes the shape of the sampling distribution below. A. Approximately normal because n<0.05N and np(1 - p) < 10. 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. D. Not normal because n<0.05N and np(1 - p) > 10.
Standard normal distribution table (page 1) Standard normal distribution table (page 2) 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 0.0003 0.0005 0.0007 0.0003 0.0005 0.0006 0.0009 0.0013 0.0003 0.0004 0.0006 0.0003 0.0004 0.0006 0.0003 0.0004 0.0006 0.5160 0.5557 0.5948 0.0003 0.0004 0.0003 0.0004 0.0005 0.0002 0.0003 0.0005 0.5000 0.5398 0.5793 0.5040 0.5438 0.5832 0.5199 0.5239 -3.4 -3.3 -3.2 -3.1 -3.0 0.5319 0.5714 0.6103 0.0003 0.0005 0.0003 0.0004 0.0005 0.0007 0.0010 0.0 0.1 0.2 0.5080 0.5478 0.5120 0.5517 0.5910 0.5279 0.5675 0.6064 0.6443 0.5359 0.5753 0.6141 0.5596 0.5987 0.5636 0.6026 0.0007 0.0006 0.5871 0.0009 0.0012 0.6217 0.6591 0.6255 0.6628 0.6368 0.6736 0.0010 0.0009 0.0013 0.0008 0.0008 0.0012 0.0008 0.0011 0.0007 0.0010 0.6179 0.6554 0.0008 0.3 0.4 0.6293 0.6664 0.6331 0.6700 0.6406 0.6772 0.6480 0.6844 0.6517 0.6879 0.0013 0.0011 0.0011 0.6808 0.5 -29 -28 -2.7 0.0019 0.0026 0.0035 0.0018 0.0025 0.0034 0.0018 0.0024 0.0033 0.0017 0.0023 0.0032 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 0.6915 0.7257 0.7580 0.6950 0.7291 0.7611 0.6985 0.7324 0.7642 0.7019 0.7357 0.7673 0.7967 0.7054 0.7389 0.7704 0.7190 0.7517 0.7823 0.7224 0.7549 0.7852 0.0016 0.0023 0.0016 0.0022 0.0030 0.0040 0.0054 0.7088 0.7422 0.7734 0.7123 0.7454 0.7764 0.7157 0.7486 0.6 0.0031 0.7 0.7794 -2.6 -2.5 0.0047 0.0062 0.0045 0.0060 0.0044 0.0059 0.0043 0.0057 0.0041 0.0055 0.0039 0.0052 0.0038 0.0051 0.0036 0.0048 0.8 0.9 0.7881 0.8159 0.7939 0.8212 0.7995 0.8264 0.8078 0.8340 0.8133 0.8389 0.7910 0.8023 0.8289 0.8051 0.8315 0.8106 0.8186 0.8238 0.8365 0.0073 -2.4 -2.3 -2.2 0.0082 0.0107 0.0080 0.0104 0.0078 0.0102 0.0132 0.0170 0.0217 0.0075 0.0099 0.0129 0.0071 0.0094 0.0122 0.0069 0.0091 0.0119 0.0068 0.0089 0.0116 0.0150 0.0192 0.0066 0.0087 0.0113 0.0064 0.0084 0.0110 0.0143 0.0183 1.0 1.1 1.2 0.8413 0.8643 0.8849 0.9032 0.9192 0.8438 0.8665 0.8869 0.9049 0.9207 0.8461 0.8686 0.8888 0.8485 0.8708 0.8508 0.8729 0.8577 0.8790 0.8531 0.8749 0.8554 0.8770 0.8962 0.9131 0.9279 0.8599 0.8621 0.8830 0.90 15 0.8810 0.8997 0.9162 0.9306 0.0096 0.0139 0.0136 0.0125 0.8907 0.8925 0.8944 0.8980 -2.1 -2.0 0.0174 0.0222 0.0154 0.0197 0.9082 0.9236 0.9115 0.9265 0.9147 0.9292 0.0179 0.0166 0.0212 0.0162 0.0207 0.0158 0.0202 0.0146 0.0188 1.3 1.4 0.9066 0.9099 0.9251 0.9177 0.9319 0.0228 0.9222 0.0287 0.0359 0.0446 0.0548 0.0668 0.0281 0.0351 0.0436 0.0274 0.0344 0.0427 0.0268 0.0336 0.0418 0.0262 0.0329 0.0409 0.0505 0.0618 0.0256 0.0322 0.0401 0.0250 0.0314 0.0392 0.0485 0.0594 0.0244 0.0307 0.0384 0.0239 0.0301 0.0375 0.0233 0.0294 0.0367 0.9332 0.9452 0.9554 0.9357 0.9474 0.9573 0.9656 0.9726 0.9370 0.9484 0.9582 0.9441 0.9545 0.9633 -1.9 -1.8 1.5 1.6 1.7 0.9345 0.9463 0.9564 0.9382 0.9495 0.9394 0.9505 0.9599 0.9406 0.9515 0.9608 0.9418 0.9525 0.9616 0.9429 0.9535 0.9625 -1.7 0.9591 -1.6 -1.5 0.0537 0.0655 0.0526 0.0643 0.0516 0.0630 0.0495 0.0606 0.0475 0.0582 0.0465 0.0571 0.0455 0.0559 1.8 1.9 0.9641 0.9713 0.9649 0.9719 0.9671 0.9738 0.9678 0.9744 0.9693 0.9756 0.9664 0.9686 0.9750 0.9699 0.9761 0.9706 0.9767 0.9732 -1.4 -13 -1.2 0.0808 0.0968 0.1151 0.0793 0.0951 0.1131 0.1335 0.1562 0.0778 0.0934 0.1112 0.0764 0.0918 0.1093 0.1292 0.1515 0.0749 0.0901 0.1075 0.0735 0.0885 0.1056 0.1251 0.1469 0.0721 0.0869 0.1038 0.1230 0.1446 0.0708 0.0853 0.1020 0.0694 0.0838 0.1003 0.0681 0.0823 0.0985 0.1170 0.1379 2.0 2.1 2.2 2.3 2.4 0.9772 0.9821 0.9861 0.9778 0.9826 0.9864 0.9783 0.9830 0.9868 0.9788 0.9834 0.9871 0.9901 0.9925 0.9793 0.9838 0.9875 0.9798 0.9842 0.9878 0.9808 0.9850 0.9884 0.9817 0.9857 0.9890 0.9916 0.9936 0.9803 0.9846 0.9812 0.9854 0.9887 0.9881 -1.1 -1.0 0.1357 0.1587 0.1314 0.1539 0.1271 0.1492 0.1210 0.1423 0.1190 0.1401 0.9893 0.9918 0.9896 0.9920 0.9898 0.9922 0.9904 0.9927 0.9906 0.9929 0.9909 0.9911 0.9932 0.9913 0.9934 0.9931 0.1788 0.2061 0.2358 0.1635 0.1894 0.2177 0.9938 0.9953 0.9965 0.0074 0.9946 0.9960 0.9970 0.9952 0.9964 0.9974 -0.9 -08 -0.7 0.1841 0.2119 0.2420 0.1814 0.2090 0.2389 0.1736 0.2005 0.1685 0.1949 0.1611 0.1867 0.2148 0.2451 2.5 2.6 2.7 0.9940 0.9955 0.9966 0.9941 0.9956 0.9967 0.9943 0.9957 0.9968 0.9948 0.9961 0.9971 0.9951 0.9963 0.9973 0.1762 0.2033 0.1711 0.1977 0.2266 0.1660 0.1922 0.2206 0.9945 0.9959 0.9969 0.9949 0.9962 0.9972 0.2327 0.2296 0.2236 -0.6 0.2743 0.2709 0.2676 0.2643 0.2611 0.2578 0.2546 0.2514 0.2483 2.8 0.0075 0.0076 0.0077 0.0077 0.09978 0.0070 0.0079 0.0080 0.0081
Transcribed Image Text:Standard normal distribution table (page 1) Standard normal distribution table (page 2) 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 0.0003 0.0005 0.0007 0.0003 0.0005 0.0006 0.0009 0.0013 0.0003 0.0004 0.0006 0.0003 0.0004 0.0006 0.0003 0.0004 0.0006 0.5160 0.5557 0.5948 0.0003 0.0004 0.0003 0.0004 0.0005 0.0002 0.0003 0.0005 0.5000 0.5398 0.5793 0.5040 0.5438 0.5832 0.5199 0.5239 -3.4 -3.3 -3.2 -3.1 -3.0 0.5319 0.5714 0.6103 0.0003 0.0005 0.0003 0.0004 0.0005 0.0007 0.0010 0.0 0.1 0.2 0.5080 0.5478 0.5120 0.5517 0.5910 0.5279 0.5675 0.6064 0.6443 0.5359 0.5753 0.6141 0.5596 0.5987 0.5636 0.6026 0.0007 0.0006 0.5871 0.0009 0.0012 0.6217 0.6591 0.6255 0.6628 0.6368 0.6736 0.0010 0.0009 0.0013 0.0008 0.0008 0.0012 0.0008 0.0011 0.0007 0.0010 0.6179 0.6554 0.0008 0.3 0.4 0.6293 0.6664 0.6331 0.6700 0.6406 0.6772 0.6480 0.6844 0.6517 0.6879 0.0013 0.0011 0.0011 0.6808 0.5 -29 -28 -2.7 0.0019 0.0026 0.0035 0.0018 0.0025 0.0034 0.0018 0.0024 0.0033 0.0017 0.0023 0.0032 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 0.6915 0.7257 0.7580 0.6950 0.7291 0.7611 0.6985 0.7324 0.7642 0.7019 0.7357 0.7673 0.7967 0.7054 0.7389 0.7704 0.7190 0.7517 0.7823 0.7224 0.7549 0.7852 0.0016 0.0023 0.0016 0.0022 0.0030 0.0040 0.0054 0.7088 0.7422 0.7734 0.7123 0.7454 0.7764 0.7157 0.7486 0.6 0.0031 0.7 0.7794 -2.6 -2.5 0.0047 0.0062 0.0045 0.0060 0.0044 0.0059 0.0043 0.0057 0.0041 0.0055 0.0039 0.0052 0.0038 0.0051 0.0036 0.0048 0.8 0.9 0.7881 0.8159 0.7939 0.8212 0.7995 0.8264 0.8078 0.8340 0.8133 0.8389 0.7910 0.8023 0.8289 0.8051 0.8315 0.8106 0.8186 0.8238 0.8365 0.0073 -2.4 -2.3 -2.2 0.0082 0.0107 0.0080 0.0104 0.0078 0.0102 0.0132 0.0170 0.0217 0.0075 0.0099 0.0129 0.0071 0.0094 0.0122 0.0069 0.0091 0.0119 0.0068 0.0089 0.0116 0.0150 0.0192 0.0066 0.0087 0.0113 0.0064 0.0084 0.0110 0.0143 0.0183 1.0 1.1 1.2 0.8413 0.8643 0.8849 0.9032 0.9192 0.8438 0.8665 0.8869 0.9049 0.9207 0.8461 0.8686 0.8888 0.8485 0.8708 0.8508 0.8729 0.8577 0.8790 0.8531 0.8749 0.8554 0.8770 0.8962 0.9131 0.9279 0.8599 0.8621 0.8830 0.90 15 0.8810 0.8997 0.9162 0.9306 0.0096 0.0139 0.0136 0.0125 0.8907 0.8925 0.8944 0.8980 -2.1 -2.0 0.0174 0.0222 0.0154 0.0197 0.9082 0.9236 0.9115 0.9265 0.9147 0.9292 0.0179 0.0166 0.0212 0.0162 0.0207 0.0158 0.0202 0.0146 0.0188 1.3 1.4 0.9066 0.9099 0.9251 0.9177 0.9319 0.0228 0.9222 0.0287 0.0359 0.0446 0.0548 0.0668 0.0281 0.0351 0.0436 0.0274 0.0344 0.0427 0.0268 0.0336 0.0418 0.0262 0.0329 0.0409 0.0505 0.0618 0.0256 0.0322 0.0401 0.0250 0.0314 0.0392 0.0485 0.0594 0.0244 0.0307 0.0384 0.0239 0.0301 0.0375 0.0233 0.0294 0.0367 0.9332 0.9452 0.9554 0.9357 0.9474 0.9573 0.9656 0.9726 0.9370 0.9484 0.9582 0.9441 0.9545 0.9633 -1.9 -1.8 1.5 1.6 1.7 0.9345 0.9463 0.9564 0.9382 0.9495 0.9394 0.9505 0.9599 0.9406 0.9515 0.9608 0.9418 0.9525 0.9616 0.9429 0.9535 0.9625 -1.7 0.9591 -1.6 -1.5 0.0537 0.0655 0.0526 0.0643 0.0516 0.0630 0.0495 0.0606 0.0475 0.0582 0.0465 0.0571 0.0455 0.0559 1.8 1.9 0.9641 0.9713 0.9649 0.9719 0.9671 0.9738 0.9678 0.9744 0.9693 0.9756 0.9664 0.9686 0.9750 0.9699 0.9761 0.9706 0.9767 0.9732 -1.4 -13 -1.2 0.0808 0.0968 0.1151 0.0793 0.0951 0.1131 0.1335 0.1562 0.0778 0.0934 0.1112 0.0764 0.0918 0.1093 0.1292 0.1515 0.0749 0.0901 0.1075 0.0735 0.0885 0.1056 0.1251 0.1469 0.0721 0.0869 0.1038 0.1230 0.1446 0.0708 0.0853 0.1020 0.0694 0.0838 0.1003 0.0681 0.0823 0.0985 0.1170 0.1379 2.0 2.1 2.2 2.3 2.4 0.9772 0.9821 0.9861 0.9778 0.9826 0.9864 0.9783 0.9830 0.9868 0.9788 0.9834 0.9871 0.9901 0.9925 0.9793 0.9838 0.9875 0.9798 0.9842 0.9878 0.9808 0.9850 0.9884 0.9817 0.9857 0.9890 0.9916 0.9936 0.9803 0.9846 0.9812 0.9854 0.9887 0.9881 -1.1 -1.0 0.1357 0.1587 0.1314 0.1539 0.1271 0.1492 0.1210 0.1423 0.1190 0.1401 0.9893 0.9918 0.9896 0.9920 0.9898 0.9922 0.9904 0.9927 0.9906 0.9929 0.9909 0.9911 0.9932 0.9913 0.9934 0.9931 0.1788 0.2061 0.2358 0.1635 0.1894 0.2177 0.9938 0.9953 0.9965 0.0074 0.9946 0.9960 0.9970 0.9952 0.9964 0.9974 -0.9 -08 -0.7 0.1841 0.2119 0.2420 0.1814 0.2090 0.2389 0.1736 0.2005 0.1685 0.1949 0.1611 0.1867 0.2148 0.2451 2.5 2.6 2.7 0.9940 0.9955 0.9966 0.9941 0.9956 0.9967 0.9943 0.9957 0.9968 0.9948 0.9961 0.9971 0.9951 0.9963 0.9973 0.1762 0.2033 0.1711 0.1977 0.2266 0.1660 0.1922 0.2206 0.9945 0.9959 0.9969 0.9949 0.9962 0.9972 0.2327 0.2296 0.2236 -0.6 0.2743 0.2709 0.2676 0.2643 0.2611 0.2578 0.2546 0.2514 0.2483 2.8 0.0075 0.0076 0.0077 0.0077 0.09978 0.0070 0.0079 0.0080 0.0081
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