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According to a study published by a group of sociologists at the University of Massachusetts, approximately 49% of the Valium users in the state of Massachusetts are white-collar workers. What is the probability that between 479 and 509, inclusive, of the next 1000 randomly selected Valium users from this state are white-collar workers? Click here to view page 1 of the standard normal distribution table. Click here to view page 2 of the standard normal distribution table. The probability is Round to four decimal places as needed.)

According to a study published by a group of sociologists at the University of Massachusetts, approximately 49% of the Valium users in the state of Massachusetts are white-collar workers. What is the probability that between 479 and 509, inclusive, of the next 1000 randomly selected Valium users from this state are white-collar workers? Click here to view page 1 of the standard normal distribution table. Click here to view page 2 of the standard normal distribution table. The probability is 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
Section10.6: Summarizing Categorical Data
Problem 31PPS
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Areas under the Normal Curve Q Areas under the Normal Curve Z .02 .00 .01 .03 .04 .05 .06 -3.4 0.0003 0.0003 0.0003 0.0003 0.0003 0.0003 0.0003 -3.3 0.0005 0.0005 0.0005 0.0004 0.0004 0.0004 0.0004 -3.2 0.0007 0.0007 0.0006 0.0006 0.0006 0.0006 0.0006 -3.1 0.0010 0.0009 0.0009 0.0009 0.0008 0.0008 0.0008 -3.0 0.0013 0.0013 0.0012 0.0013 0.0012 0.0011 0.0011 -2.9 0.0019 0.0018 0.0018 0.0017 0.0016 0.0016 0.0015 0.0015 0.0014 0.0014 0.0026 0.0025 0.0023 0.0022 -2.8 0.0020 0.0024 0.0019 0.0023 0.0021 0.0021 0.0034 0.0033 0.0031 0.0030 0.0027 -2.7 0.0035 0.0032 0.0029 0.0028 0.0043 0.0041 -2.6 0.0047 0.0039 0.0045 0.0044 0.0040 0.0038 0.0037 -2.5 0.0062 0.0054 0.0059 0.0057 0.0055 0.0060 0.0049 0.0048 0.0052 0.0051 -2.4 0.0082 0.0080 0.0078 0.0075 0.0073 0.0071 0.0069 0.0068 0.0066 0.0064 -2.3 0.0102 0.0096 0.0107 0.0094 0.0104 0.0099 0.0091 0.0089 0.0087 0.0084 -2.2 0.0139 0.0136 0.0113 0.0132 0.0129 0.0125 0.0122 0.0119 0.0116 0.0110 -2.1 0.0179 0.0174 0.0170 0.0166 0.0162 0.0158 0.0154 0.0150 0.0146 0.0143 -2.0 0.0228 0.0222 0.0217 0.0212 0.0207 0.0202 0.0197 0.0192 0.0188 0.0183 -1.9 0.0287 0.0281 0.0274 0.0268 0.0262 0.0256 0.0250 0.0244 0.0239 0.0233 -1.8 0.0359 0.0351 0.0344 0.0336 0.0329 0.0322 0.0314 0.0307 0.0301 0.0294 -1.7 0.0446 0.0436 0.0427 0.0418 0.0409 0.0401 0.0392 0.0384 0.0375 0.0367 -1.6 0.0548 0.0537 0.0526 0.0516 0.0505 0.0495 0.0485 0.0475 0.0465 0.0455 -1.5 0.0668 0.0655 0.0643 0.0630 0.0618 0.0606 0.0594 0.0582 0.0571 0.0559 -1.4 0.0808 0.0793 0.0778 0.0764 0.0694 0.0749 0.0735 0.0721 0.0708 0.0681 -1.3 0.0968 0.0951 0.0934 0.0918 0.0901 0.0885 0.0869 0.0853 0.0838 0.0823 -1.2 0.1151 0.1131 0.1112 0.1093 0.1075 0.1056 0.1038 0.1020 0.1003 0.0985 -1.1 0.1357 0.1335 0.1314 0.1292 0.1271 0.1251 0.1230 0.1210 0.1190 0.1170 -1.0 0.1587 0.1562 0.1539 0.1515 0.1492 0.1469 0.1446 0.1423 0.1401 0.1379 -0.9 0.1814 0.1841 0.1788 0.1736 0.1762 0.1685 0.1711 0.1660 0.1611 0.1635 -0.8 0.2119 0.2090 0.2061 0.2033 0.2005 0.1977 0.1949 0.1922 0.1894 0.1867 -0.7 0.2420 0.2389 0.2358 0.2327 0.2296 0.2266 0.2236 0.2206 0.2177 0.2148 -0.6 0.2743 0.2709 0.2676 0.2643 0.2611 0.2578 0.2546 0.2514 0.2483 -0.5 0.3085 0.3050 0.3015 0.2981 0.2946 0.2912 0.2877 0.2843 0.2810 0.2776 -0.4 0.3446 0.3409 0.3336 0.3300 0.3264 0.3228 0.3192 0.3156 0.3372 0.3121 -0.3 0.3821 0.3783 0.3745 0.3707 0.3669 0.3632 0.3594 0.3557 0.3520 0.3483 -0.2 0.4207 0.4168 0.4129 0.4090 0.4052 0.4013 0.3974 0.3936 0.3897 0.3859 -0.1 0.4602 0.4562 0.4522 0.4483 0.4443 0.4404 0.4364 0.4325 0.4286 0.4247 -0.0 0.5000 0.4960 0.4920 0.4880 0.4840 0.4801 .07 .08 0.0003 0.0003 0.0002 0.0004 0.0004 0.0003 0.0005 0.0005 0.0005 0.0008 0.0007 0.0007 0.0011 0.0010 0.0010 .09 z .00 0.0026 0.7 0.0036 0.8 1 k 1 円 0.2451 0.9929 0.9931 0.9932 0.9934 0.9925 0.9927 2.5 0.9938 0.9940 0.9941 0.9943 0.9945 0.9946 0.9948 0.9949 0.9951 2.6 0.9953 0.9955 0.9956 0.9957 0.9959 0.9960 0.9961 0.9962 0.9963 2.7 0.9965 0.9966 0.9967 0.9968 0.9969 0.9970 0.9971 0.9972 0.9973 0.5 0.6915 0.6950 0.6985 0.7019 0.7054 0.7088 0.6 0.7257 0.7291 0.7324 0.7357 0.7389 0.7642 0.7673 0.7580 0.7611 0.7704 0.7967 0.8051 0.7910 0.7939 0.7881 0.8023 0.7995 0.9 0.8159 0.8186 0.8212 0.8238 0.8264 0.8289 0.8315 1.0 0.8485 0.8508 0.8413 0.8438 0.8461 0.8531 0.8554 0.8621 1.1 0.8643 0.8665 0.8686 0.8749 0.8830 0.8708 0.8729 0.8770 1.2 0.8849 0.8869 0.8888 0.8907 0.8925 0.8944 0.8962 0.8980 0.8997 0.9015 1.3 0.9032 0.9049 0.9066 0.9082 0.9099 0.9115 0.9131 0.9147 0.9162 0.9177 1.4 0.9192 0.9207 0.9222 0.9236 0.9251 0.9265 0.9279 0.9292 0.9306 0.9319 1.5 0.9332 0.9345 0.9357 0.9370 0.9382 0.9394 0.9406 0.9418 0.9429 0.9441 1.6 0.9452 0.9463 0.9474 0.9484 0.9495 0.9505 0.9515 0.9525 0.9535 0.9545 1.7 0.9554 0.9564 0.9573 0.9582 0.9591 0.9599 0.9608 0.9616 0.9625 0.9633 1.8 0.9641 0.9649 0.9656 0.9664 0.9671 0.9678 0.9686 0.9693 0.9699 0.9706 1.9 0.9713 0.9719 0.9726 0.9732 0.9738 0.9744 0.9750 0.9756 0.9761 0.9767 2.0 0.9772 0.9778 0.9783 0.9788 0.9793 0.9798 0.9803 0.9808 0.9812 0.9817 2.1 0.9821 0.9826 0.9830 0.9834 0.9838 0.9842 0.9846 0.9850 0.9854 0.9857 2.2 0.9861 0.9864 0.9868 0.9871 0.9875 0.9878 0.9881 0.9884 0.9887 2.3 0.9893 0.9896 0.9898 0.9901 0.9904 0.9906 0.9909 0.9911 0.9913 2.4 0.9918 0.9920 0.9922 .01 .02 .03 .04 .05 .06 .07 .08 .09 0.0 0.5000 0.5040 0.5080 0.5120 0.5160 0.5199 0.5239 0.5279 0.5319 0.5359 0.1 0.5398 0.5438 0.5478 0.5517 0.5557 0.5596 0.5675 0.5714 0.5753 0.5636 0.2 0.5793 0.5832 0.5871 0.5910 0.5948 0.5987 0.6026 0.6064 0.6103 0.6141 0.3 0.6179 0.6217 0.6368 0.6255 0.6293 0.6331 0.6406 0.6443 0.6480 0.6517 0.4 0.6554 0.6591 0.6628 0.6664 0.6700 0.6736 0.6772 0.6808 0.6844 0.6879 0.7123 0.7157 0.7422 0.7454 0.7486 0.7224 0.7190 0.7517 0.7549 0.7734 0.7764 0.7794 0.8078 0.7823 0.8106 0.7852 0.8133 0.8340 0.8365 0.8389 0.8577 0.8790 0.8599 0.8810 0.9890 0.9916 0.9936 0.9952 0.4761 0.4721 0.4681 0.4641 < > U o 2.8 2.9 3.0 Dr 0.9974 0.9975 0.9976 0.9977 0.9977 0.9978 0.9982 0.9981 0.9982 0.9983 0.9984 0.9984 0.9987 0.9987 0.9987 0.9988 0.9988 0.9989 0.9989 0.9989 0.9990 0.9990 3.1 0.9990 0.9991 0.9991 0.9991 0.9992 0.9992 0.9992 0.9992 0.9993 0.9993 3.2 0.9993 0.9993 0.9994 0.9994 0.9994 0.9994 0.9994 0.9995 0.9995 0.9995 3.3 0.9995 0.9995 0.9995 0.9996 0.9996 0.9996 0.9996 0.9996 0.9996 0.9997 3.4 0.9997 0.9997 0.9997 0.9997 0.9997 0.9997 0.9997 0.9997 0.9997 0.9998 0.9979 0.9985 0.9985 0.9964 0.9974 0.9979 0.9980 0.9981 0.9986 0.9986
Transcribed Image Text:Areas under the Normal Curve Q Areas under the Normal Curve Z .02 .00 .01 .03 .04 .05 .06 -3.4 0.0003 0.0003 0.0003 0.0003 0.0003 0.0003 0.0003 -3.3 0.0005 0.0005 0.0005 0.0004 0.0004 0.0004 0.0004 -3.2 0.0007 0.0007 0.0006 0.0006 0.0006 0.0006 0.0006 -3.1 0.0010 0.0009 0.0009 0.0009 0.0008 0.0008 0.0008 -3.0 0.0013 0.0013 0.0012 0.0013 0.0012 0.0011 0.0011 -2.9 0.0019 0.0018 0.0018 0.0017 0.0016 0.0016 0.0015 0.0015 0.0014 0.0014 0.0026 0.0025 0.0023 0.0022 -2.8 0.0020 0.0024 0.0019 0.0023 0.0021 0.0021 0.0034 0.0033 0.0031 0.0030 0.0027 -2.7 0.0035 0.0032 0.0029 0.0028 0.0043 0.0041 -2.6 0.0047 0.0039 0.0045 0.0044 0.0040 0.0038 0.0037 -2.5 0.0062 0.0054 0.0059 0.0057 0.0055 0.0060 0.0049 0.0048 0.0052 0.0051 -2.4 0.0082 0.0080 0.0078 0.0075 0.0073 0.0071 0.0069 0.0068 0.0066 0.0064 -2.3 0.0102 0.0096 0.0107 0.0094 0.0104 0.0099 0.0091 0.0089 0.0087 0.0084 -2.2 0.0139 0.0136 0.0113 0.0132 0.0129 0.0125 0.0122 0.0119 0.0116 0.0110 -2.1 0.0179 0.0174 0.0170 0.0166 0.0162 0.0158 0.0154 0.0150 0.0146 0.0143 -2.0 0.0228 0.0222 0.0217 0.0212 0.0207 0.0202 0.0197 0.0192 0.0188 0.0183 -1.9 0.0287 0.0281 0.0274 0.0268 0.0262 0.0256 0.0250 0.0244 0.0239 0.0233 -1.8 0.0359 0.0351 0.0344 0.0336 0.0329 0.0322 0.0314 0.0307 0.0301 0.0294 -1.7 0.0446 0.0436 0.0427 0.0418 0.0409 0.0401 0.0392 0.0384 0.0375 0.0367 -1.6 0.0548 0.0537 0.0526 0.0516 0.0505 0.0495 0.0485 0.0475 0.0465 0.0455 -1.5 0.0668 0.0655 0.0643 0.0630 0.0618 0.0606 0.0594 0.0582 0.0571 0.0559 -1.4 0.0808 0.0793 0.0778 0.0764 0.0694 0.0749 0.0735 0.0721 0.0708 0.0681 -1.3 0.0968 0.0951 0.0934 0.0918 0.0901 0.0885 0.0869 0.0853 0.0838 0.0823 -1.2 0.1151 0.1131 0.1112 0.1093 0.1075 0.1056 0.1038 0.1020 0.1003 0.0985 -1.1 0.1357 0.1335 0.1314 0.1292 0.1271 0.1251 0.1230 0.1210 0.1190 0.1170 -1.0 0.1587 0.1562 0.1539 0.1515 0.1492 0.1469 0.1446 0.1423 0.1401 0.1379 -0.9 0.1814 0.1841 0.1788 0.1736 0.1762 0.1685 0.1711 0.1660 0.1611 0.1635 -0.8 0.2119 0.2090 0.2061 0.2033 0.2005 0.1977 0.1949 0.1922 0.1894 0.1867 -0.7 0.2420 0.2389 0.2358 0.2327 0.2296 0.2266 0.2236 0.2206 0.2177 0.2148 -0.6 0.2743 0.2709 0.2676 0.2643 0.2611 0.2578 0.2546 0.2514 0.2483 -0.5 0.3085 0.3050 0.3015 0.2981 0.2946 0.2912 0.2877 0.2843 0.2810 0.2776 -0.4 0.3446 0.3409 0.3336 0.3300 0.3264 0.3228 0.3192 0.3156 0.3372 0.3121 -0.3 0.3821 0.3783 0.3745 0.3707 0.3669 0.3632 0.3594 0.3557 0.3520 0.3483 -0.2 0.4207 0.4168 0.4129 0.4090 0.4052 0.4013 0.3974 0.3936 0.3897 0.3859 -0.1 0.4602 0.4562 0.4522 0.4483 0.4443 0.4404 0.4364 0.4325 0.4286 0.4247 -0.0 0.5000 0.4960 0.4920 0.4880 0.4840 0.4801 .07 .08 0.0003 0.0003 0.0002 0.0004 0.0004 0.0003 0.0005 0.0005 0.0005 0.0008 0.0007 0.0007 0.0011 0.0010 0.0010 .09 z .00 0.0026 0.7 0.0036 0.8 1 k 1 円 0.2451 0.9929 0.9931 0.9932 0.9934 0.9925 0.9927 2.5 0.9938 0.9940 0.9941 0.9943 0.9945 0.9946 0.9948 0.9949 0.9951 2.6 0.9953 0.9955 0.9956 0.9957 0.9959 0.9960 0.9961 0.9962 0.9963 2.7 0.9965 0.9966 0.9967 0.9968 0.9969 0.9970 0.9971 0.9972 0.9973 0.5 0.6915 0.6950 0.6985 0.7019 0.7054 0.7088 0.6 0.7257 0.7291 0.7324 0.7357 0.7389 0.7642 0.7673 0.7580 0.7611 0.7704 0.7967 0.8051 0.7910 0.7939 0.7881 0.8023 0.7995 0.9 0.8159 0.8186 0.8212 0.8238 0.8264 0.8289 0.8315 1.0 0.8485 0.8508 0.8413 0.8438 0.8461 0.8531 0.8554 0.8621 1.1 0.8643 0.8665 0.8686 0.8749 0.8830 0.8708 0.8729 0.8770 1.2 0.8849 0.8869 0.8888 0.8907 0.8925 0.8944 0.8962 0.8980 0.8997 0.9015 1.3 0.9032 0.9049 0.9066 0.9082 0.9099 0.9115 0.9131 0.9147 0.9162 0.9177 1.4 0.9192 0.9207 0.9222 0.9236 0.9251 0.9265 0.9279 0.9292 0.9306 0.9319 1.5 0.9332 0.9345 0.9357 0.9370 0.9382 0.9394 0.9406 0.9418 0.9429 0.9441 1.6 0.9452 0.9463 0.9474 0.9484 0.9495 0.9505 0.9515 0.9525 0.9535 0.9545 1.7 0.9554 0.9564 0.9573 0.9582 0.9591 0.9599 0.9608 0.9616 0.9625 0.9633 1.8 0.9641 0.9649 0.9656 0.9664 0.9671 0.9678 0.9686 0.9693 0.9699 0.9706 1.9 0.9713 0.9719 0.9726 0.9732 0.9738 0.9744 0.9750 0.9756 0.9761 0.9767 2.0 0.9772 0.9778 0.9783 0.9788 0.9793 0.9798 0.9803 0.9808 0.9812 0.9817 2.1 0.9821 0.9826 0.9830 0.9834 0.9838 0.9842 0.9846 0.9850 0.9854 0.9857 2.2 0.9861 0.9864 0.9868 0.9871 0.9875 0.9878 0.9881 0.9884 0.9887 2.3 0.9893 0.9896 0.9898 0.9901 0.9904 0.9906 0.9909 0.9911 0.9913 2.4 0.9918 0.9920 0.9922 .01 .02 .03 .04 .05 .06 .07 .08 .09 0.0 0.5000 0.5040 0.5080 0.5120 0.5160 0.5199 0.5239 0.5279 0.5319 0.5359 0.1 0.5398 0.5438 0.5478 0.5517 0.5557 0.5596 0.5675 0.5714 0.5753 0.5636 0.2 0.5793 0.5832 0.5871 0.5910 0.5948 0.5987 0.6026 0.6064 0.6103 0.6141 0.3 0.6179 0.6217 0.6368 0.6255 0.6293 0.6331 0.6406 0.6443 0.6480 0.6517 0.4 0.6554 0.6591 0.6628 0.6664 0.6700 0.6736 0.6772 0.6808 0.6844 0.6879 0.7123 0.7157 0.7422 0.7454 0.7486 0.7224 0.7190 0.7517 0.7549 0.7734 0.7764 0.7794 0.8078 0.7823 0.8106 0.7852 0.8133 0.8340 0.8365 0.8389 0.8577 0.8790 0.8599 0.8810 0.9890 0.9916 0.9936 0.9952 0.4761 0.4721 0.4681 0.4641 < > U o 2.8 2.9 3.0 Dr 0.9974 0.9975 0.9976 0.9977 0.9977 0.9978 0.9982 0.9981 0.9982 0.9983 0.9984 0.9984 0.9987 0.9987 0.9987 0.9988 0.9988 0.9989 0.9989 0.9989 0.9990 0.9990 3.1 0.9990 0.9991 0.9991 0.9991 0.9992 0.9992 0.9992 0.9992 0.9993 0.9993 3.2 0.9993 0.9993 0.9994 0.9994 0.9994 0.9994 0.9994 0.9995 0.9995 0.9995 3.3 0.9995 0.9995 0.9995 0.9996 0.9996 0.9996 0.9996 0.9996 0.9996 0.9997 3.4 0.9997 0.9997 0.9997 0.9997 0.9997 0.9997 0.9997 0.9997 0.9997 0.9998 0.9979 0.9985 0.9985 0.9964 0.9974 0.9979 0.9980 0.9981 0.9986 0.9986
According to a study published by a group of sociologists at the University of Massachusetts, approximately 49% of the Valium users in the state of Massachusetts are white-collar workers. What is the probability that between 479 and 509, inclusive, of the next 1000 randomly selected Valium users from this state are white-collar workers? Click here to view page 1 of the standard normal distribution table. Click here to view page 2 of the standard normal distribution table. The probability is (Round to four decimal places as needed.)
Transcribed Image Text:According to a study published by a group of sociologists at the University of Massachusetts, approximately 49% of the Valium users in the state of Massachusetts are white-collar workers. What is the probability that between 479 and 509, inclusive, of the next 1000 randomly selected Valium users from this state are white-collar workers? Click here to view page 1 of the standard normal distribution table. Click here to view page 2 of the standard normal distribution table. The probability is (Round to four decimal places as needed.)
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