Homework Help is Here – Start Your Trial Now!
Math
Statistics
Suppose a simple random sample of size n= 12 is obtained from a population with p= 68 and o = 19. (a) What must be true regarding the distribution of the population in order to use the normal model to compute probabilities regarding the sample mean? Assuming the normal model can be used, describe the sampling distribution x. (b) Assuming the normal model can be used, determine P(x <71.9). (c) Assuming the normal model can be used, determine P(x2 69.9). Click here to view the standard normal distribution table (page 1). Click here to view the standard normal distribution table (page 2). (a) What must be true regarding the distribution of the population? O A. The population must be normally distributed. O B. There are no requirements on the shape of the distribution of the population. OC. Since the sample size is large enough, the population distribution does not need to be normal. O D. The population must be normally distributed and the sample size must be large. Assuming the normal model can be used, describe the sampling distribution x. O A. Normal, with u; = 68 and o: = 19 19 O B. Normal, with = 68 and o: = V12 12 Oc. Normal, with H, = 68 and o: = V19 (b) P(x<71.9) = (Round to four decimal places as needed.) (c) P(x2 69.9) = (Round to four decimal places as needed.)

Suppose a simple random sample of size n= 12 is obtained from a population with p= 68 and o = 19. (a) What must be true regarding the distribution of the population in order to use the normal model to compute probabilities regarding the sample mean? Assuming the normal model can be used, describe the sampling distribution x. (b) Assuming the normal model can be used, determine P(x <71.9). (c) Assuming the normal model can be used, determine P(x2 69.9). Click here to view the standard normal distribution table (page 1). Click here to view the standard normal distribution table (page 2). (a) What must be true regarding the distribution of the population? O A. The population must be normally distributed. O B. There are no requirements on the shape of the distribution of the population. OC. Since the sample size is large enough, the population distribution does not need to be normal. O D. The population must be normally distributed and the sample size must be large. Assuming the normal model can be used, describe the sampling distribution x. O A. Normal, with u; = 68 and o: = 19 19 O B. Normal, with = 68 and o: = V12 12 Oc. Normal, with H, = 68 and o: = V19 (b) P(x<71.9) = (Round to four decimal places as needed.) (c) P(x2 69.9) = (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
See similar textbooks
icon
Related questions
Question
Page 1 Aea Page 2 Area Standard Nomal 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 0.5080 0.5478 0.5871 0.5199 0.5596 0.5987 0.5319 0.5714 0.6103 0.0 0.5040 0.5438 0.5832 0.6217 0.6591 0.5120 0.5517 0.5910 0.6293 0.6664 0.5160 0.5557 0.5948 0.5239 0.5636 0.6026 0.6406 0.6772 0.5279 0.5675 0.6064 0.5359 -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 0.0003 0.0004 0.0005 0.0002 0.0003 0.0005 0.0007 0.0010 0.0003 0.0004 0.0003 0.0004 0.0006 0.0003 0.0004 0.0006 0.0003 0.0004 0.0005 0.0007 0.0010 0.5753 0.6141 0.6517 0.6879 0.1 0.2 0.0006 0.0006 0.3 0.4 0.6179 0.6554 0.6255 0.6628 0.6331 0.6700 0.6368 0.6736 0.6443 0.6808 0.6480 0.6844 -3.1 0.0010 0.0013 0.0009 0.0013 0.0009 0.0009 0.0008 0.0008 0.0008 0.0008 -3.0 0,0013 0.0012 0.0012 0.0011 0.0011 0.0011 0.7054 0.7389 0.7704 0.7995 0.8264 0.7088 0.7422 0.7734 0.8023 0.8289 0.7224 0.7549 0.7852 0.5 0,0018 0.0024 0.0033 0.0044 0.0059 0.0017 0.0023 0.0032 0.0043 0.0057 0.0016 0.0023 0.0031 0.0016 0.0022 0.0030 0.0040 0.0054 0.0014 0.0020 0.0027 0.0037 0.0049 0.6915 0.7257 0.7580 0.7881 0.8159 0.6950 0.7291 0.7611 0.7910 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 0.7190 0.7517 0.7823 0.0015 -29 -28 -2.7 0.0019 0.0026 0.0015 0.0021 0.0028 0.0014 0.0019 0.0026 0.0018 0.6 0.0025 0.0034 0.0021 0.7 0.0035 0.0029 0.8078 0.8340 0.8133 0.8389 0.8 0.8106 -2.6 -2.5 0.0047 0,0062 0.0045 0.0041 0,0055 0.0039 0.0038 0.0051 0.0036 0.0048 0.9 0.8186 0.8365 0.0060 0.0052 -2.4 -2.3 -22 0.0082 0.0107 0.0139 0.0179 0.0228 0.0078 0.0102 0.0132 00170 0.0217 0.0075 0.0099 0.0129 0.0166 0.0212 0.0073 0.0096 0.0125 0.0162 0.0069 0.0091 0.0119 0.0154 0.0197 0.0068 0.0089 0.0116 0.0066 0.0087 0.0113 0.0146 0.0188 1.0 1.1 1.2 0.8413 0.8643 0.8849 0,9032 0.9192 0.8438 0.8665 0.8869 0.8461 0.8686 0.8888 0.9066 0.9222 0.8485 0.8708 0.8907 0,0082 0.9236 0.8508 0.8729 0.8925 0.8531 0.8749 0.8944 0.9115 0.9265 0.8554 0.8770 0.8962 09131 0.9279 0.8577 0.8790 0.8980 0.9147 0.9292 0.8599 0.8810 0.8997 0.8621 0.8830 0.90 15 0,9177 0.9319 0.0080 0.0104 0.0136 0.0071 0,0094 0.0122 0.0158 0.0202 0.0064 0.0084 0.0110 00143 0.0183 0.9099 0.9251 1.3 0,9049 0,9162 -2.1 0.0174 0.0150 1.4 0.9207 0.9306 -2.0 0,0222 0.0207 0.0192 0.9382 0.9495 0.9591 0.9671 0.9738 0.9418 0.9525 0.9616 0.9429 0.9535 0.9625 0.9699 0.9761 0.9441 0.9545 0.9633 1.5 0.9332 0,9452 0.0250 0.0314 0.0392 0.0485 0.0594 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 0.9394 0.9505 0.9599 0.9406 0.9515 0.9608 -1.9 -1.8 0.0287 0.0359 0.0446 0.0548 0.0668 0.0281 0.0351 0.0436 0.0537 0.0655 0.0274 0.0344 0.0268 0.0336 0.0418 0.0516 0.0630 0.0262 0.0329 0.0409 0.0505 0.0618 0.0256 0.0322 0.0244 0.0307 0.0384 0.0475 0.0582 0.0239 0.0301 0.0375 0.0465 0.0571 0.0233 0.0204 0.0367 0.0455 0.0559 1.6 0.9554 0.9641 0.9713 1.7 0.0427 0.0526 0.0643 0.0401 0.0495 0.0606 -1.7 0.9678 0.9744 0.9686 0.9750 0.9693 0.9756 0.9706 0.9767 1.8 -1.6 -1.5 1.9 0.0735 0.0885 0.1056 0.1251 2.0 2.1 2.2 0.9772 0.9821 0.9861 0.9778 0.9826 0,9864 0.9896 0,9920 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 0.9909 0.9931 0.9808 0.9850 0.9884 0.9911 0.9932 0.9812 0.9854 0,9887 0.9817 0.9857 0,9890 0.9916 0,9936 -14 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 -13 -1.2 0.9904 0.9927 0.9906 0.9929 0.9913 0,9934 23 -1.1 -10 0.9893 0.9918 0.9901 0.9925 2.4 0.1469 2.5 2.6 2.7 2.8 2.9 0,9938 0,9040 0 9055 0.9941 ,9056 0.9967 0.9976 0.9982 0.9943 0.9957 0.9968 0.9977 0.9983 0.9945 0.9050 0.9946 0,9060 0.9970 0.9978 0.9984 0.9948 0.9961 0.9971 0.9979 0.9985 0.9949 0.9951 0.9963 0,9952 0.1788 0.2061 0,2358 0.2676 0.3015 0.3372 0.3745 0.4129 0.4522 0.4920 0.1841 0.2119 0.2420 0,2743 0.3085 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 0.1685 0.1949 0.2236 0.1635 0.1894 0.2177 0.9964 0.9974 0,9981 0.9986 0.1660 0.1922 0.1611 0.1867 0.2148 0,2451 0.2776 -0.9 0.1814 0.2090 0.2389 0,2709 0.3050 0.9953 0.9965 0.9962 0.9972 0.9979 0.9985 -08 0.9966 0.9969 0.9977 0.9984 0.9973 -0.7 02206 0.9974 0.9981 0.9975 0.9982 0.9980 -0,6 02514 0,2578 0.2912 0.2546 0.2483 0.2810 0.9986 -0,5 0.2877 0.2843 0.3264 0.3632 0.4013 0.4404 0.4801 0.3192 0.3557 0.3936 0.4325 0.4721 3.0 3.1 3.2 33 3.4 0.9987 0.9990 0,9993 0.9987 0.9991 0.9993 0.9995 0.9997 0.9987 0.9991 0.9994 0.9995 0.9997 0.9988 0.9991 0.9994 0.9996 0.9997 0.9988 0.9902 0.9994 0.9996 0.9997 0.9989 0.9992 0.9904 0.9996 0.9997 0,9989 0.9992 0.9994 0.9996 0.9997 0.9989 0.9992 0.9995 0.9990 0.9993 0,9995 0.9990 0.9993 0.9995 0.9997 0.9998 -04 -0.3 -0.2 -0.1 -0.0 0.3446 0.3821 0.4207 0.4602 0.5000 0.3409 0.3783 0.4168 0.3336 0.3707 0.4090 0.4483 0.4880 0.3300 0.3669 0.4052 0.4443 0.4840 0.3228 0.3594 0.3974 0.4364 04761 0.3156 0.3520 0.3897 0.3121 0.3483 0.3859 0.4562 0.4960 0.4247 0.4641 0.9995 0.9997 0.9996 0.9997 0.9996 0,9997 0.4286 0.4681 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 Aea Page 2 Area Standard Nomal 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 0.5080 0.5478 0.5871 0.5199 0.5596 0.5987 0.5319 0.5714 0.6103 0.0 0.5040 0.5438 0.5832 0.6217 0.6591 0.5120 0.5517 0.5910 0.6293 0.6664 0.5160 0.5557 0.5948 0.5239 0.5636 0.6026 0.6406 0.6772 0.5279 0.5675 0.6064 0.5359 -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 0.0003 0.0004 0.0005 0.0002 0.0003 0.0005 0.0007 0.0010 0.0003 0.0004 0.0003 0.0004 0.0006 0.0003 0.0004 0.0006 0.0003 0.0004 0.0005 0.0007 0.0010 0.5753 0.6141 0.6517 0.6879 0.1 0.2 0.0006 0.0006 0.3 0.4 0.6179 0.6554 0.6255 0.6628 0.6331 0.6700 0.6368 0.6736 0.6443 0.6808 0.6480 0.6844 -3.1 0.0010 0.0013 0.0009 0.0013 0.0009 0.0009 0.0008 0.0008 0.0008 0.0008 -3.0 0,0013 0.0012 0.0012 0.0011 0.0011 0.0011 0.7054 0.7389 0.7704 0.7995 0.8264 0.7088 0.7422 0.7734 0.8023 0.8289 0.7224 0.7549 0.7852 0.5 0,0018 0.0024 0.0033 0.0044 0.0059 0.0017 0.0023 0.0032 0.0043 0.0057 0.0016 0.0023 0.0031 0.0016 0.0022 0.0030 0.0040 0.0054 0.0014 0.0020 0.0027 0.0037 0.0049 0.6915 0.7257 0.7580 0.7881 0.8159 0.6950 0.7291 0.7611 0.7910 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 0.7190 0.7517 0.7823 0.0015 -29 -28 -2.7 0.0019 0.0026 0.0015 0.0021 0.0028 0.0014 0.0019 0.0026 0.0018 0.6 0.0025 0.0034 0.0021 0.7 0.0035 0.0029 0.8078 0.8340 0.8133 0.8389 0.8 0.8106 -2.6 -2.5 0.0047 0,0062 0.0045 0.0041 0,0055 0.0039 0.0038 0.0051 0.0036 0.0048 0.9 0.8186 0.8365 0.0060 0.0052 -2.4 -2.3 -22 0.0082 0.0107 0.0139 0.0179 0.0228 0.0078 0.0102 0.0132 00170 0.0217 0.0075 0.0099 0.0129 0.0166 0.0212 0.0073 0.0096 0.0125 0.0162 0.0069 0.0091 0.0119 0.0154 0.0197 0.0068 0.0089 0.0116 0.0066 0.0087 0.0113 0.0146 0.0188 1.0 1.1 1.2 0.8413 0.8643 0.8849 0,9032 0.9192 0.8438 0.8665 0.8869 0.8461 0.8686 0.8888 0.9066 0.9222 0.8485 0.8708 0.8907 0,0082 0.9236 0.8508 0.8729 0.8925 0.8531 0.8749 0.8944 0.9115 0.9265 0.8554 0.8770 0.8962 09131 0.9279 0.8577 0.8790 0.8980 0.9147 0.9292 0.8599 0.8810 0.8997 0.8621 0.8830 0.90 15 0,9177 0.9319 0.0080 0.0104 0.0136 0.0071 0,0094 0.0122 0.0158 0.0202 0.0064 0.0084 0.0110 00143 0.0183 0.9099 0.9251 1.3 0,9049 0,9162 -2.1 0.0174 0.0150 1.4 0.9207 0.9306 -2.0 0,0222 0.0207 0.0192 0.9382 0.9495 0.9591 0.9671 0.9738 0.9418 0.9525 0.9616 0.9429 0.9535 0.9625 0.9699 0.9761 0.9441 0.9545 0.9633 1.5 0.9332 0,9452 0.0250 0.0314 0.0392 0.0485 0.0594 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 0.9394 0.9505 0.9599 0.9406 0.9515 0.9608 -1.9 -1.8 0.0287 0.0359 0.0446 0.0548 0.0668 0.0281 0.0351 0.0436 0.0537 0.0655 0.0274 0.0344 0.0268 0.0336 0.0418 0.0516 0.0630 0.0262 0.0329 0.0409 0.0505 0.0618 0.0256 0.0322 0.0244 0.0307 0.0384 0.0475 0.0582 0.0239 0.0301 0.0375 0.0465 0.0571 0.0233 0.0204 0.0367 0.0455 0.0559 1.6 0.9554 0.9641 0.9713 1.7 0.0427 0.0526 0.0643 0.0401 0.0495 0.0606 -1.7 0.9678 0.9744 0.9686 0.9750 0.9693 0.9756 0.9706 0.9767 1.8 -1.6 -1.5 1.9 0.0735 0.0885 0.1056 0.1251 2.0 2.1 2.2 0.9772 0.9821 0.9861 0.9778 0.9826 0,9864 0.9896 0,9920 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 0.9909 0.9931 0.9808 0.9850 0.9884 0.9911 0.9932 0.9812 0.9854 0,9887 0.9817 0.9857 0,9890 0.9916 0,9936 -14 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 -13 -1.2 0.9904 0.9927 0.9906 0.9929 0.9913 0,9934 23 -1.1 -10 0.9893 0.9918 0.9901 0.9925 2.4 0.1469 2.5 2.6 2.7 2.8 2.9 0,9938 0,9040 0 9055 0.9941 ,9056 0.9967 0.9976 0.9982 0.9943 0.9957 0.9968 0.9977 0.9983 0.9945 0.9050 0.9946 0,9060 0.9970 0.9978 0.9984 0.9948 0.9961 0.9971 0.9979 0.9985 0.9949 0.9951 0.9963 0,9952 0.1788 0.2061 0,2358 0.2676 0.3015 0.3372 0.3745 0.4129 0.4522 0.4920 0.1841 0.2119 0.2420 0,2743 0.3085 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 0.1685 0.1949 0.2236 0.1635 0.1894 0.2177 0.9964 0.9974 0,9981 0.9986 0.1660 0.1922 0.1611 0.1867 0.2148 0,2451 0.2776 -0.9 0.1814 0.2090 0.2389 0,2709 0.3050 0.9953 0.9965 0.9962 0.9972 0.9979 0.9985 -08 0.9966 0.9969 0.9977 0.9984 0.9973 -0.7 02206 0.9974 0.9981 0.9975 0.9982 0.9980 -0,6 02514 0,2578 0.2912 0.2546 0.2483 0.2810 0.9986 -0,5 0.2877 0.2843 0.3264 0.3632 0.4013 0.4404 0.4801 0.3192 0.3557 0.3936 0.4325 0.4721 3.0 3.1 3.2 33 3.4 0.9987 0.9990 0,9993 0.9987 0.9991 0.9993 0.9995 0.9997 0.9987 0.9991 0.9994 0.9995 0.9997 0.9988 0.9991 0.9994 0.9996 0.9997 0.9988 0.9902 0.9994 0.9996 0.9997 0.9989 0.9992 0.9904 0.9996 0.9997 0,9989 0.9992 0.9994 0.9996 0.9997 0.9989 0.9992 0.9995 0.9990 0.9993 0,9995 0.9990 0.9993 0.9995 0.9997 0.9998 -04 -0.3 -0.2 -0.1 -0.0 0.3446 0.3821 0.4207 0.4602 0.5000 0.3409 0.3783 0.4168 0.3336 0.3707 0.4090 0.4483 0.4880 0.3300 0.3669 0.4052 0.4443 0.4840 0.3228 0.3594 0.3974 0.4364 04761 0.3156 0.3520 0.3897 0.3121 0.3483 0.3859 0.4562 0.4960 0.4247 0.4641 0.9995 0.9997 0.9996 0.9997 0.9996 0,9997 0.4286 0.4681 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
Suppose a simple random sample of size n= 12 is obtained from a population with u = 68 and o = 19. (a) What must be true regarding the distribution of the population in order to use the normal model to compute probabilities regarding the sample mean? Assuming the normal model can be used, describe the sampling distribution x. (b) Assuming the normal model can be used, determine P(x< 71.9). (c) Assuming the normal model can be used, determine P(x2 69.9). Click here to view the standard normal distribution table (page 1). Click here to view the standard normal distribution table (page 2). (a) What must be true regarding the distribution of the population? O A. The population must be normally distributed. B. There are no requirements on the shape of the distribution of the population. C. Since the sample size is large enough, the population distribution does not need to be normal. D. The population must be normally distributed and the sample size must be large. Assuming the normal model can be used, describe the sampling distribution x. Normal, with = 68 and o, = 19 A. 19 = 68 and o- = V12 B. Normal, with 12 = 68 and o- = V19 O c. Normal, with (b) P(x<71.9) = (Round to four decimal places as needed.) (c) P(x2 69.9) = (Round to four decimal places as needed.) %3D
Transcribed Image Text:Suppose a simple random sample of size n= 12 is obtained from a population with u = 68 and o = 19. (a) What must be true regarding the distribution of the population in order to use the normal model to compute probabilities regarding the sample mean? Assuming the normal model can be used, describe the sampling distribution x. (b) Assuming the normal model can be used, determine P(x< 71.9). (c) Assuming the normal model can be used, determine P(x2 69.9). Click here to view the standard normal distribution table (page 1). Click here to view the standard normal distribution table (page 2). (a) What must be true regarding the distribution of the population? O A. The population must be normally distributed. B. There are no requirements on the shape of the distribution of the population. C. Since the sample size is large enough, the population distribution does not need to be normal. D. The population must be normally distributed and the sample size must be large. Assuming the normal model can be used, describe the sampling distribution x. Normal, with = 68 and o, = 19 A. 19 = 68 and o- = V12 B. Normal, with 12 = 68 and o- = V19 O c. Normal, with (b) P(x<71.9) = (Round to four decimal places as needed.) (c) P(x2 69.9) = (Round to four decimal places as needed.) %3D
Expert Solution
trending now

Trending now

This is a popular solution!

steps

Step by step

Solved in 2 steps with 1 images

SEE SOLUTIONCheck out a sample Q&A here
Blurred answer
Recommended textbooks for you
Glencoe Algebra 1, Student Edition, 9780079039897…
Glencoe Algebra 1, Student Edition, 9780079039897…
Algebra
ISBN:
9780079039897
Author:
Carter
Publisher:
McGraw Hill
SEE MORE TEXTBOOKS