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Suppose a simple random sample of size n= 125 is obtained from a population whose size is N= 15,000 and whose population proportion with a specified characteristic is p = 0.8. 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. A. Approximately normal because ns0.05N and np(1 - p) 2 10. B. Approximately normal because ns0.05N and np(1 - p) < 10. C. Not normal because ns0.05N and np(1-p) 2 10. D. Not normal because ns0.05N and np(1-p) < 10. Determine the mean of the sampling distribution of p. HA = 0.8 (Round to one decimal place as needed.) Determine the standard deviation of the sampling distribution of p. = 0.035777 (Round to six decimal places as needed.) (b) What is the probability of obtaining x= 105 or more individuals with the characteristic? That is, what is P(p20.84)? P(p20.84) = | (Round to four decimal places as needed.)

Suppose a simple random sample of size n= 125 is obtained from a population whose size is N= 15,000 and whose population proportion with a specified characteristic is p = 0.8. 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. A. Approximately normal because ns0.05N and np(1 - p) 2 10. B. Approximately normal because ns0.05N and np(1 - p) < 10. C. Not normal because ns0.05N and np(1-p) 2 10. D. Not normal because ns0.05N and np(1-p) < 10. Determine the mean of the sampling distribution of p. HA = 0.8 (Round to one decimal place as needed.) Determine the standard deviation of the sampling distribution of p. = 0.035777 (Round to six decimal places as needed.) (b) What is the probability of obtaining x= 105 or more individuals with the characteristic? That is, what is P(p20.84)? P(p20.84) = | (Round to four decimal places as needed.)

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= 15,000 and whose population proportion with a specified characteristic isp= 0.8. 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. A. Approximately normal because ns0.05N and np(1 - p) 2 10. B. Approximately normal because n<0.05N and np(1 - p) < 10. C. Not normal because n<0.05N and np(1 – p) > 10. D. Not normal because ns0.05N and np(1 - p)< 10. Determine the mean of the sampling distribution of p. HA = 0.8 (Round to one decimal place as needed.) Determine the standard deviation of the sampling distribution of p. On = 0.035777 (Round to six decimal places as needed.) (b) What is the probability of obtaining x= 105 or more individuals with the characteristic? That is, what is P(p20.84)? P(p20.84) = (Round to four decimal places as needed.)
Transcribed Image Text:Suppose a simple random sample of size n = 125 is obtained from a population whose size is N= 15,000 and whose population proportion with a specified characteristic isp= 0.8. 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. A. Approximately normal because ns0.05N and np(1 - p) 2 10. B. Approximately normal because n<0.05N and np(1 - p) < 10. C. Not normal because n<0.05N and np(1 – p) > 10. D. Not normal because ns0.05N and np(1 - p)< 10. Determine the mean of the sampling distribution of p. HA = 0.8 (Round to one decimal place as needed.) Determine the standard deviation of the sampling distribution of p. On = 0.035777 (Round to six decimal places as needed.) (b) What is the probability of obtaining x= 105 or more individuals with the characteristic? That is, what is P(p20.84)? P(p20.84) = (Round to four decimal places as needed.)
Page 1 Page 2 Aca Area Standard Normal Distribution Standard Nomal 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 0.0004 0.0006 0.0009 0.0012 0.0003 0.0004 0.0006 0.0003 0.0004 -3.4 -3.3 -3.2 0.0003 0.0004 0.0005 0.0008 0.0011 0.0003 0.0004 0.0005 0,0007 0.0010 0.0002 0.0003 0.0005 0.5040 0.5438 0.5832 0.6217 0.6591 0.5080 0.5478 0.5871 0.6255 0.6628 0.5120 0.5517 0.5910 0.5160 0.5557 0.5948 0.6331 0.6700 0,5199 0.5596 0.5987 0.6368 0.6736 0.5239 0.5636 0.6026 0.6406 0.6772 0.5319 0.5714 0.6103 0.6480 0.6844 0.5359 0.5753 0,6141 0.0003 0.0005 0.0003 0.0005 0.0003 0.0004 0.0006 0.0 0.1 0.2 0.3 0.4 0.5000 0.5398 0.5793 0,6179 0.6554 0.5279 0.5675 0.6064 0.0007 0.0006 0.0006 -3.1 -30 0.0010 0.0013 0.0009 0.0013 0,0009 0.0013 0.0008 0.0012 0.0008 0.0011 0.6293 0.6664 0.6443 0.6808 0,6517 0.6879 0.0008 0.0007 0.0011 0.0010 0.0015 0.0021 0.0029 0.0039 0.0052 0.6915 0.7257 0.7580 0.7881 08159 0.6950 0.7291 0.7611 0.7910 0.8186 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 0.8023 0.8289 0.7123 0.7454 0.7764 0.8051 0.8315 0.7190 0,7517 0.7823 0.8106 0.8365 0.7224 0.7549 0.7852 0.8133 0.8389 0.5 0.7157 0.7486 0.7794 0.8078 0.8340 -29 0.0019 0.0026 0.0018 0.0025 0.0018 0.0024 0.0017 0.0023 0.0032 0.0043 0.0057 0.0016 0.0023 0.0016 0,0022 0.0030 0.0040 0.0054 0.0015 0.0021 0.0028 0.0038 0.0051 0.0014 0,0020 0.0014 0.0019 0.0026 -28 0.6 0.0035 0.0047 0.0062 0,0031 0.0041 0.0055 0.0027 0.0037 0.0049 -2.7 0.7 0.0033 0.0044 0.0059 0.0034 0.0036 0.0048 0.8 0.0045 0.0060 -26 -2.5 0.9 0.8485 0.8708 0.8438 0.8665 0.8869 0.9049 0.9207 0.8461 0.8686 0.8888 0.9066 0.9222 0.8508 0.8729 0.8925 0.9099 0.9251 0.8531 08749 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 0,9162 0.9306 0.8621 0.8830 0.90 15 0.9177 1.0 0.8413 0.8643 0.8849 09032 0,9192 -2.4 0.0082 0.0107 0.0139 0.0179 0.0228 0.0080 0.0104 0.0136 0.0174 0.0222 0.0078 0.0102 0,0132 0.0170 0.0217 0.0075 0.0099 0.0129 0.0166 0.0212 0.0073 0.0096 0.0125 0.0162 0.0207 0.0071 0.0094 0.0122 0.0158 0.0202 0.0069 0.0091 0.0119 0.0154 0.0197 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 1.1 1.2 1.3 1.4 0.8907 -2.2 -2.1 -2.0 0.0146 0.0188 0.9082 0.9236 0,9319 0.0287 0.0359 0.0446 0.0548 0.0668 0.0281 0.0351 0.0436 0.0256 0.0322 0.0401 0.0495 0.0606 0.0735 0.0885 0.1056 1.5 1.6 1.7 0.9332 09452 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 0.9370 0.9484 0.9582 0.9664 0.9732 0.9382 0.9495 0.9591 0.9671 0.9738 0.9394 0.9505 0.9599 0.9678 0.9744 0.9406 0.9515 0.9608 0.9686 0.9750 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 -1.9 -1.8 -1.7 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 0.0485 0.0594 0.0244 0.0307 0.0384 0.0475 0.0582 0.0239 0.0301 0.0375 0.0465 0.0571 0.0233 0.0294 0.0367 0.0274 0.0344 0.0427 0.0526 0.0643 0.0537 0.0655 1.8 1.9 -1.6 0.0455 -1.5 0.0559 2.0 2.1 2.2 2.3 2.4 09772 0.9821 0.9861 0.9893 0.9918 0.9778 0.9826 0,9864 0,9806 0,9783 0.9830 0,9868 0.9898 0.9922 0.9788 0.9834 0.9871 0.9901 0.9925 0.9793 0.9838 0.9875 0.9904 0.9927 0.9812 0.9854 0,9887 0.9913 0.9934 0.9817 0.9857 0.9890 0.9916 0,9936 0.9798 0.9803 0.9846 0.9881 0.9909 0.9931 0.9808 0.0808 0.0968 0.1151 0.1357 0.1587 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 0.0901 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 0.0694 0.0838 0.1003 0.1190 0.1401 0,0681 0.0823 0.0985 0.1170 0.1379 -14 0.9842 0.9878 -1.3 -12 -1.1 -1.0 0.9850 0.9884 0.9911 0.9932 0.1251 0.1469 0.9906 0.9929 0.9920 0.9945 0.9959 0.9969 0.9977 0.9984 2.5 2.6 0,9938 0.9953 0,9065 0.9974 0.9981 0,9940 0,9055 0,9941 0,9056 0,9043 0.1788 0.2061 0.2358 0.2676 0.3015 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 0.1635 0.1894 0,2177 0.2483 0.2810 0,9946 0.9960 0.9970 0.9978 0.9984 0.9948 0.9961 0.9971 0.9979 0.9985 0.9949 0.9962 0.9972 0,9951 0.9963 0.9973 0.9980 0,9952 0.9964 0.9974 0.9981 -0.9 -08 0.1841 0.2119 0.2420 0.2743 0.3085 0.1814 0.2090 0.2389 0.1762 0.2033 0.2327 0.2643 0.2981 0.1660 0.1922 0.2206 0,2514 0.2843 0.1611 0.1867 0.2148 0.2451 0.2776 0.9967 0.9976 0.9982 0.9957 0.9968 0.9977 0.9983 2.7 0.9966 -0.7 -0.6 -0.5 0.2709 0.3050 2.8 2.9 0,9975 0.9982 0.9979 0.9985 0.9986 0.9986 0.9987 0.9990 0.9993 0.9995 0.9997 0.9987 0.9991 0.9993 0.9987 0.9991 0.9994 0.9995 0.9997 0.9988 0.9991 0.9994 0.9996 0.9997 0.9988 0.9992 0.9994 0.9996 0.9997 0.9989 0.9992 0.9994 0.9996 0.9997 0.9989 0.9992 0.9994 0.9996 0.9989 0.9992 0.9995 0.9996 0.9997 0.9990 0.9993 0.9995 0.9996 0.9997 0.9990 0.9993 0.9995 0.9997 0.9998 3.0 -0,4 -0.3 -0.2 -0.1 -0.0 0.3446 0.3821 0.4207 0.4602 0.5000 0,3400 0.3783 0.4168 0.4562 0.4960 0.3372 0.3745 0.4129 0.4522 0.4920 0.3336 0.3707 0.4090 0,4483 0.4880 0.3300 0.3669 0.4052 0.4443 0.4840 0.3264 0.3632 0.4013 0.3228 0.3594 0.3974 0.4364 0.4761 0.3192 0.3557 0.3936 0.4325 0.4721 0.3156 0.3520 0.3897 0,3121 0.3483 0.3859 3.1 3.2 3.3 3.4 0.9995 0.9997 0.4404 0.4801 0.4286 0.4681 0.4247 0.4641 0.9997 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
Transcribed Image Text:Page 1 Page 2 Aca Area Standard Normal Distribution Standard Nomal 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 0.0004 0.0006 0.0009 0.0012 0.0003 0.0004 0.0006 0.0003 0.0004 -3.4 -3.3 -3.2 0.0003 0.0004 0.0005 0.0008 0.0011 0.0003 0.0004 0.0005 0,0007 0.0010 0.0002 0.0003 0.0005 0.5040 0.5438 0.5832 0.6217 0.6591 0.5080 0.5478 0.5871 0.6255 0.6628 0.5120 0.5517 0.5910 0.5160 0.5557 0.5948 0.6331 0.6700 0,5199 0.5596 0.5987 0.6368 0.6736 0.5239 0.5636 0.6026 0.6406 0.6772 0.5319 0.5714 0.6103 0.6480 0.6844 0.5359 0.5753 0,6141 0.0003 0.0005 0.0003 0.0005 0.0003 0.0004 0.0006 0.0 0.1 0.2 0.3 0.4 0.5000 0.5398 0.5793 0,6179 0.6554 0.5279 0.5675 0.6064 0.0007 0.0006 0.0006 -3.1 -30 0.0010 0.0013 0.0009 0.0013 0,0009 0.0013 0.0008 0.0012 0.0008 0.0011 0.6293 0.6664 0.6443 0.6808 0,6517 0.6879 0.0008 0.0007 0.0011 0.0010 0.0015 0.0021 0.0029 0.0039 0.0052 0.6915 0.7257 0.7580 0.7881 08159 0.6950 0.7291 0.7611 0.7910 0.8186 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 0.8023 0.8289 0.7123 0.7454 0.7764 0.8051 0.8315 0.7190 0,7517 0.7823 0.8106 0.8365 0.7224 0.7549 0.7852 0.8133 0.8389 0.5 0.7157 0.7486 0.7794 0.8078 0.8340 -29 0.0019 0.0026 0.0018 0.0025 0.0018 0.0024 0.0017 0.0023 0.0032 0.0043 0.0057 0.0016 0.0023 0.0016 0,0022 0.0030 0.0040 0.0054 0.0015 0.0021 0.0028 0.0038 0.0051 0.0014 0,0020 0.0014 0.0019 0.0026 -28 0.6 0.0035 0.0047 0.0062 0,0031 0.0041 0.0055 0.0027 0.0037 0.0049 -2.7 0.7 0.0033 0.0044 0.0059 0.0034 0.0036 0.0048 0.8 0.0045 0.0060 -26 -2.5 0.9 0.8485 0.8708 0.8438 0.8665 0.8869 0.9049 0.9207 0.8461 0.8686 0.8888 0.9066 0.9222 0.8508 0.8729 0.8925 0.9099 0.9251 0.8531 08749 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 0,9162 0.9306 0.8621 0.8830 0.90 15 0.9177 1.0 0.8413 0.8643 0.8849 09032 0,9192 -2.4 0.0082 0.0107 0.0139 0.0179 0.0228 0.0080 0.0104 0.0136 0.0174 0.0222 0.0078 0.0102 0,0132 0.0170 0.0217 0.0075 0.0099 0.0129 0.0166 0.0212 0.0073 0.0096 0.0125 0.0162 0.0207 0.0071 0.0094 0.0122 0.0158 0.0202 0.0069 0.0091 0.0119 0.0154 0.0197 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 1.1 1.2 1.3 1.4 0.8907 -2.2 -2.1 -2.0 0.0146 0.0188 0.9082 0.9236 0,9319 0.0287 0.0359 0.0446 0.0548 0.0668 0.0281 0.0351 0.0436 0.0256 0.0322 0.0401 0.0495 0.0606 0.0735 0.0885 0.1056 1.5 1.6 1.7 0.9332 09452 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 0.9370 0.9484 0.9582 0.9664 0.9732 0.9382 0.9495 0.9591 0.9671 0.9738 0.9394 0.9505 0.9599 0.9678 0.9744 0.9406 0.9515 0.9608 0.9686 0.9750 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 -1.9 -1.8 -1.7 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 0.0485 0.0594 0.0244 0.0307 0.0384 0.0475 0.0582 0.0239 0.0301 0.0375 0.0465 0.0571 0.0233 0.0294 0.0367 0.0274 0.0344 0.0427 0.0526 0.0643 0.0537 0.0655 1.8 1.9 -1.6 0.0455 -1.5 0.0559 2.0 2.1 2.2 2.3 2.4 09772 0.9821 0.9861 0.9893 0.9918 0.9778 0.9826 0,9864 0,9806 0,9783 0.9830 0,9868 0.9898 0.9922 0.9788 0.9834 0.9871 0.9901 0.9925 0.9793 0.9838 0.9875 0.9904 0.9927 0.9812 0.9854 0,9887 0.9913 0.9934 0.9817 0.9857 0.9890 0.9916 0,9936 0.9798 0.9803 0.9846 0.9881 0.9909 0.9931 0.9808 0.0808 0.0968 0.1151 0.1357 0.1587 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 0.0901 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 0.0694 0.0838 0.1003 0.1190 0.1401 0,0681 0.0823 0.0985 0.1170 0.1379 -14 0.9842 0.9878 -1.3 -12 -1.1 -1.0 0.9850 0.9884 0.9911 0.9932 0.1251 0.1469 0.9906 0.9929 0.9920 0.9945 0.9959 0.9969 0.9977 0.9984 2.5 2.6 0,9938 0.9953 0,9065 0.9974 0.9981 0,9940 0,9055 0,9941 0,9056 0,9043 0.1788 0.2061 0.2358 0.2676 0.3015 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 0.1635 0.1894 0,2177 0.2483 0.2810 0,9946 0.9960 0.9970 0.9978 0.9984 0.9948 0.9961 0.9971 0.9979 0.9985 0.9949 0.9962 0.9972 0,9951 0.9963 0.9973 0.9980 0,9952 0.9964 0.9974 0.9981 -0.9 -08 0.1841 0.2119 0.2420 0.2743 0.3085 0.1814 0.2090 0.2389 0.1762 0.2033 0.2327 0.2643 0.2981 0.1660 0.1922 0.2206 0,2514 0.2843 0.1611 0.1867 0.2148 0.2451 0.2776 0.9967 0.9976 0.9982 0.9957 0.9968 0.9977 0.9983 2.7 0.9966 -0.7 -0.6 -0.5 0.2709 0.3050 2.8 2.9 0,9975 0.9982 0.9979 0.9985 0.9986 0.9986 0.9987 0.9990 0.9993 0.9995 0.9997 0.9987 0.9991 0.9993 0.9987 0.9991 0.9994 0.9995 0.9997 0.9988 0.9991 0.9994 0.9996 0.9997 0.9988 0.9992 0.9994 0.9996 0.9997 0.9989 0.9992 0.9994 0.9996 0.9997 0.9989 0.9992 0.9994 0.9996 0.9989 0.9992 0.9995 0.9996 0.9997 0.9990 0.9993 0.9995 0.9996 0.9997 0.9990 0.9993 0.9995 0.9997 0.9998 3.0 -0,4 -0.3 -0.2 -0.1 -0.0 0.3446 0.3821 0.4207 0.4602 0.5000 0,3400 0.3783 0.4168 0.4562 0.4960 0.3372 0.3745 0.4129 0.4522 0.4920 0.3336 0.3707 0.4090 0,4483 0.4880 0.3300 0.3669 0.4052 0.4443 0.4840 0.3264 0.3632 0.4013 0.3228 0.3594 0.3974 0.4364 0.4761 0.3192 0.3557 0.3936 0.4325 0.4721 0.3156 0.3520 0.3897 0,3121 0.3483 0.3859 3.1 3.2 3.3 3.4 0.9995 0.9997 0.4404 0.4801 0.4286 0.4681 0.4247 0.4641 0.9997 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
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