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In a random sample of 36 criminals convicted of a certain crime, it was determined that the mean length of sentencing was 53 months, with a standard deviation of 12 months. Construct and interpret a 95% confidence interval for the mean length of sentencing for this crime Click here to view the standard normal distribution table (page 1). Click here to view the standard normal distribution table (page 2). Click here to view the table of critical t-values. Select the correct choice below and fill in the answer boxes to complete your choice. (Use ascending order. Round to one decimal place as needed.) O A. We can be 95% confident that the mean length of sentencing for the crime is between and months. OB. There is a 95% probability that the mean length of sentencing for the crime between and months.

In a random sample of 36 criminals convicted of a certain crime, it was determined that the mean length of sentencing was 53 months, with a standard deviation of 12 months. Construct and interpret a 95% confidence interval for the mean length of sentencing for this crime Click here to view the standard normal distribution table (page 1). Click here to view the standard normal distribution table (page 2). Click here to view the table of critical t-values. Select the correct choice below and fill in the answer boxes to complete your choice. (Use ascending order. Round to one decimal place as needed.) O A. We can be 95% confident that the mean length of sentencing for the crime is between and months. OB. There is a 95% probability that the mean length of sentencing for the crime between and months.

A First Course in Probability (10th Edition)
A First Course in Probability (10th Edition)
10th Edition
ISBN:9780134753119
Author:Sheldon Ross
Publisher:Sheldon Ross
Chapter1: Combinatorial Analysis
Section: Chapter Questions
Problem 1.1P: a. How many different 7-place license plates are possible if the first 2 places are for letters and...
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In a random sample of 36 criminals convicted of a certain crime, it was determined that the mean length of sentencing was 53 months, with a standard deviation of 12 months. Construct and interpret a 95% confidence interval for the mean length of sentencing for this crime. Click here to view the standard normal distribution table (page 1). Click here to view the standard normal distribution table (page 2). Click here to view the table of critical t-values. Select the correct choice below and fill in the answer boxes to complete your choice. (Use ascending order. Round to one decimal place as needed.) O A. We can be 95% confident that the mean length of sentencing for the crime is between OB. There is a 95% probability that the mean length of sentencing for the crime is between OC. 95% of the sentences for the crime are between months. and and and == months. months.
Transcribed Image Text:In a random sample of 36 criminals convicted of a certain crime, it was determined that the mean length of sentencing was 53 months, with a standard deviation of 12 months. Construct and interpret a 95% confidence interval for the mean length of sentencing for this crime. Click here to view the standard normal distribution table (page 1). Click here to view the standard normal distribution table (page 2). Click here to view the table of critical t-values. Select the correct choice below and fill in the answer boxes to complete your choice. (Use ascending order. Round to one decimal place as needed.) O A. We can be 95% confident that the mean length of sentencing for the crime is between OB. There is a 95% probability that the mean length of sentencing for the crime is between OC. 95% of the sentences for the crime are between months. and and and == months. months.
Standard Normal Distribution Table (page 1) Area z -3.4 -3.3 -3.2 -3.1 -3.0 -29 -2.8 -2.7 -2.6 -2.5 -2.4 -2.3 -2.2 -2.1 -2.0 -1.9 -1.8 -1.7 -1.6 -1.5 -1.4 -1.3 -1.2 -1.1 -1.0 -0.9 -0.8 -0.7 -0.6 -0.5 -0.4 -0.3 -0.2 -0.1 -0.0 z 0.00 0.01 0.0003 0.0003 0.0003 0.0003 0.0005 0.0005 0.0005 0.0004 0.0007 0.0007 0.0006 0.0006 0.0009 0.0009 0.0009 0.0013 0.0013 0.0012 0.0010 0.0013 www.w VIOLE 0.0019 0.0026 0.0035 0.0047 0.0062 www.ce 0.0082 0.0107 0.0139 0.0179 0.0228 0.0287 0.0359 0.0446 0.0548 0.0668 wwwwww 0.0808 0.0968 0.1151 0.1357 0.1587 0.1841 0.2119 0.2420 0.2743 0.3085 0.3446 0.3821 0.4207 0.4602 0.5000 0.00 0.0018 0.0025 0.0034 0.0045 0.0060 0.0080 0.0104 0.0136 0.0174 0.0222 0.0281 0.0351 0.0436 0.0537 0.0655 0.0793 0.0951 0.1131 0.1335 0.1562 0.1814 0.2090 0.2389 0.2709 0.3050 0.3409 0.3783 0.4168 0.4562 0.4960 0.01 0.02 0.0018 0.0024 0.0033 0.0044 0.0059 voce 0.0078 0.0274 0.0344 0.0427 0.0526 0.0643 Standard Normal Distribution 0.03 0.04 0.05 0.1314 0.1539 0.0043 0.0041 0.0057 0.0055 wwwer 0.0075 S 0.0073 0.0102 0.0099 0.0096 0.0132 0.0129 0.0125 0.0170 0.0166 0.0162 0.0217 0.0212 0.0207 0.1788 0.2061 0.2358 0.0017 0.0023 0.0032 0.2676 0.3015 vide 0.3372 0.3745 0.4129 0.4522 0.4920 0.02 0.0778 0.0764 0.0934 0.0918 0.1112 0.1093 0.1292 0.1515 VIDEO 0.0268 0.0336 0.0418 0.0516 0.0630 0.1762 0.2033 0.2327 0.2643 0.2981 M 0.3336 0.3707 0.4090 0.4483 0.4880 0.0003 0.0003 0.0004 0.0004 0.0006 0.0006 0.03 0.0008 0.0008 0.0012 0.0011 0.0016 0.0023 0.0031 0.0262 0.0329 0.0409 0.0505 0.0618 0.1271 0.1492 0.1736 0.2005 0.2296 0.0749 0.0735 0.0001 0.0885 0.1075 0.1056 0.1251 0.1469 0.2611 0.2946 0.3300 0.3669 0.4052 0.4443 0.4840 0.04 1 0.0016 0.0022 0.0030 0.0015 0.0021 0.0029 0.0040 0.0039 0.0052 0.0054 w 0.0071 S 0.0069 0.0094 0.0091 0.0122 0.0119 0.0158 0.0154 0.0202 0.0197 0.0256 0.0322 0.0401 0.0495 0.0606 0.1711 0.1977 0.2266 0.06 0.0003 0.0004 0.0006 0.0008 0.0011 0.4404 0.4801 0.05 0.0250 0.0314 0.0392 0.0485 0.0594 0.0721 0.0869 0.1038 0.1230 0.1446 B 0.1685 0.1949 0.2236 0.3264 0.3228 0.3632 0.3594 0.4013 0.3974 0.4364 0.4761 0.06 0.07 0.0003 0.0004 0.0005 0.0008 0.0011 0.0015 0.0021 0.0028 0.0038 0.0051 w 0.0068 0.0089 0.0116 0.0150 0.0192 0.0475 0.0582 0.0708 0.0853 0.1020 0.2578 0.2546 0.2514 0.2912 0.2877 0.2843 0.1210 0.1423 0.0244 0.0239 0.0307 0.0301 0.0384 0.0375 0.0465 0.0571 0.1660 0.1922 0.2206 0.3192 0.3557 0.3936 0.08 0.0003 0.0004 0.0005 0.4325 0.4721 0.07 0.0007 0.0010 0.0014 0.0020 0.0027 0.0037 0.0049 Pove 0.0066 0.0087 0.0113 0.0146 0.0188 0.0694 0.0838 0.1003 0.1190 0.1401 0.1635 0.1894 0.2177 0.2483 0.2810 0.3156 0.3520 0.3897 0.4286 0.4681 0.08 0.09 0.0002 0.0003 0.0005 0.0007 0.0010 0.0014 0.0019 0.0026 0.0036 0.0048 m 0.0064 0.0084 0.0110 0.0143 0.0183 0.0233 0.0294 0.0367 0.0455 0.0559 0.0681 0.0823 0.0985 0.1170 0.1379 0.1611 0.1867 0,2148 0.2451 0.2776 0.3121 0.3483 0.3859 0.4247 0.4641 0.09 standard normal distribution tablStandard Normal Distribution Table (page 2) z 0.0 0.1 0.2 0.3 0.4 0.5 0.6 0,7 0.8 0.9 1.0 1.1 1.2 1.3 1.4 1.5 1.6 1.7 1.8 1.9 2.0 2.1 2.2 2.3 2.4 2.5 2.6 2.7 2.9 3.0 3.1 3.2 3.4 Z Area 0.00 0.5000 0.5398 0.5793 0.6179 0.6554 www.w 0.6915 0.7257 0.7580 0.7881 0.8159 0.01 0.5040 0.5438 0.5832 0.6217 0.6591 www 0.6950 0.7291 0.7611 0.7910 0.8186 0.8438 0.8413 0.8643 0.8849 0.9032 0.9192 0.8665 0.8686 0.8708 0.8869 0.8888 0.9049 0.9066 0.9207 0.9222 0.8907 0.9082 0.9236 0.9332 0.9345 0.9357 0.9370 0.9452 0.9463 0.9474 0.9554 0.9564 0.9573 0.9641 0.9649 0.9656 0.9713 0.9719 0.9726 0.9772 0.9821 0.9826 0.9830 0.9861 0.9864 0.9868 0.9896 0.9898 0.9920 0.9922 0.9940 0.9941 0.9955 0.9966 0.9967 0.9975 0.9976 0.9982 0.9982 0.9956 03302 0.9893 0.9918 Standard Normal Distribution 0.03 0.04 0.05 0.02 0.5080 0.5120 0.5478 0.5871 0.6255 0.6628 0.5517 0.5910 0.6293 0.6664 Power 0.5160 0.5557 0.5948 0.6331 0.6700 viduee vieree 0.6985 0.7019 0.7054 0.7324 0.7357 0.7389 0.7642 0.7673 0.7704 0.7939 0.7967 0.7995 0.8212 0.8238 0.8264 0.8461 0.8485 0.8508 0.8729 0.8925 0.9099 0.9251 0.9938 0.9953 0.9965 0.9974 0.9981 www. 0.9987 0.9987 0.9987 0.9990 0.9991 0.9991 0.9993 0.9993 0.9994 0.9995 0.9997 0.9995 0.9997 0.02 0.00 0.9995 0.9997 0.01 0.9778 0.9783 0.9788 0.9793 0.9834 0.9871 0.9901 0.9925 0.7123 0.7157 0.7190 0.7517 0.7823 0.8106 0.8365 0.8599 0.8810 0.8997 0.9147 0.9162 0.9306 0.9382 0.9394 0.9406 0.9292 0.9418 0.9429 0.9484 0.9495 0.9505 0.9515 0.9525 0.9535 0.9582 0.9591 0.9599 0.9608 0.9616 0.9664 0.9671 0.9678 0.9686 0.9693 0.9738 0.9744 0.9732 0.9756 0.9750 0.9625 0.9798 0.9803 0.9808 0.9846 0.9850 0.9881 0.9884 0.9911 0.9932 0.9943 0.9957 0.9968 0.9969 0.9977 0.9977 0.9983 0.9984 0.9988 0.9991 0.9994 0.9996 0.9997 0.03 0.06 0.5199 0.5239 0.5636 0.6026 0.6406 0.6772 Sporte 0.5596 0.5987 0.6368 0.6736 www.00 0.9838 0.9842 0.9875 0.9878 0.9904 0.9906 0.9929 vezes 0.9927 M 0.9945 0.9959 0.9960 0.9970 0.9978 0.9984 VS30T 0.9989 0.9992 0.9994 0.9996 0.9997 0.9997 0.9996 0.04 0.05 0.9988 0.9992 0.9994 0.7088 0.7422 0.7454 0.7486 0.7734 0.7764 0.7794 0.8023 0.8051 0.8289 0.8315 0.8531 0.8554 0.8749 0.8770 0.8944 0.8962 0.9115 0.9131 0.9279 0.9265 0.9909 0.9931 0.9946 0.9948 0.9961 0.9971 0.9979 0.9985 0.07 0.5279 0.5675 0.6064 0.6443 0.6808 wwwwww 0.9989 0.9992 0.9994 0.9996 0.9997 0.06 0.08 0.5319 0.5714 0.6103 0.6480 0.6844 www 0.8078 0.8340 norte 0.8577 0.8790 0.8980 0.9699 0.9761 0.9812 0.9854 0.9887 0.9913 0.9934 0.9949 0.9951 0.9962 0.9972 0.9963 0.9973 0.9979 0.9985 0.9989 0.9992 0.9995 0.9996 0.9997 0.07 0.9980 0.9986 0.9990 0.9993 0.9995 0.9996 0.9997 0.08 0.09 0.5359 0.5753 0.6141 0.6517 0.6879 aware 0.7224 0.7549 0.7852 0.8133 0.8389 0.8621 0.8830 0.9015 0.9177 0.9319 0.9441 0.9545 0.9633 0.9706 0.9767 0.9817 0.9857 0.9890 0.9916 0.9936 www 0.9952 0.9964 0.9974 0.9981 0.9986 caree 0.9990 0.9993 0.9995 0.9997 0.9998 0.09 D
Transcribed Image Text:Standard Normal Distribution Table (page 1) Area z -3.4 -3.3 -3.2 -3.1 -3.0 -29 -2.8 -2.7 -2.6 -2.5 -2.4 -2.3 -2.2 -2.1 -2.0 -1.9 -1.8 -1.7 -1.6 -1.5 -1.4 -1.3 -1.2 -1.1 -1.0 -0.9 -0.8 -0.7 -0.6 -0.5 -0.4 -0.3 -0.2 -0.1 -0.0 z 0.00 0.01 0.0003 0.0003 0.0003 0.0003 0.0005 0.0005 0.0005 0.0004 0.0007 0.0007 0.0006 0.0006 0.0009 0.0009 0.0009 0.0013 0.0013 0.0012 0.0010 0.0013 www.w VIOLE 0.0019 0.0026 0.0035 0.0047 0.0062 www.ce 0.0082 0.0107 0.0139 0.0179 0.0228 0.0287 0.0359 0.0446 0.0548 0.0668 wwwwww 0.0808 0.0968 0.1151 0.1357 0.1587 0.1841 0.2119 0.2420 0.2743 0.3085 0.3446 0.3821 0.4207 0.4602 0.5000 0.00 0.0018 0.0025 0.0034 0.0045 0.0060 0.0080 0.0104 0.0136 0.0174 0.0222 0.0281 0.0351 0.0436 0.0537 0.0655 0.0793 0.0951 0.1131 0.1335 0.1562 0.1814 0.2090 0.2389 0.2709 0.3050 0.3409 0.3783 0.4168 0.4562 0.4960 0.01 0.02 0.0018 0.0024 0.0033 0.0044 0.0059 voce 0.0078 0.0274 0.0344 0.0427 0.0526 0.0643 Standard Normal Distribution 0.03 0.04 0.05 0.1314 0.1539 0.0043 0.0041 0.0057 0.0055 wwwer 0.0075 S 0.0073 0.0102 0.0099 0.0096 0.0132 0.0129 0.0125 0.0170 0.0166 0.0162 0.0217 0.0212 0.0207 0.1788 0.2061 0.2358 0.0017 0.0023 0.0032 0.2676 0.3015 vide 0.3372 0.3745 0.4129 0.4522 0.4920 0.02 0.0778 0.0764 0.0934 0.0918 0.1112 0.1093 0.1292 0.1515 VIDEO 0.0268 0.0336 0.0418 0.0516 0.0630 0.1762 0.2033 0.2327 0.2643 0.2981 M 0.3336 0.3707 0.4090 0.4483 0.4880 0.0003 0.0003 0.0004 0.0004 0.0006 0.0006 0.03 0.0008 0.0008 0.0012 0.0011 0.0016 0.0023 0.0031 0.0262 0.0329 0.0409 0.0505 0.0618 0.1271 0.1492 0.1736 0.2005 0.2296 0.0749 0.0735 0.0001 0.0885 0.1075 0.1056 0.1251 0.1469 0.2611 0.2946 0.3300 0.3669 0.4052 0.4443 0.4840 0.04 1 0.0016 0.0022 0.0030 0.0015 0.0021 0.0029 0.0040 0.0039 0.0052 0.0054 w 0.0071 S 0.0069 0.0094 0.0091 0.0122 0.0119 0.0158 0.0154 0.0202 0.0197 0.0256 0.0322 0.0401 0.0495 0.0606 0.1711 0.1977 0.2266 0.06 0.0003 0.0004 0.0006 0.0008 0.0011 0.4404 0.4801 0.05 0.0250 0.0314 0.0392 0.0485 0.0594 0.0721 0.0869 0.1038 0.1230 0.1446 B 0.1685 0.1949 0.2236 0.3264 0.3228 0.3632 0.3594 0.4013 0.3974 0.4364 0.4761 0.06 0.07 0.0003 0.0004 0.0005 0.0008 0.0011 0.0015 0.0021 0.0028 0.0038 0.0051 w 0.0068 0.0089 0.0116 0.0150 0.0192 0.0475 0.0582 0.0708 0.0853 0.1020 0.2578 0.2546 0.2514 0.2912 0.2877 0.2843 0.1210 0.1423 0.0244 0.0239 0.0307 0.0301 0.0384 0.0375 0.0465 0.0571 0.1660 0.1922 0.2206 0.3192 0.3557 0.3936 0.08 0.0003 0.0004 0.0005 0.4325 0.4721 0.07 0.0007 0.0010 0.0014 0.0020 0.0027 0.0037 0.0049 Pove 0.0066 0.0087 0.0113 0.0146 0.0188 0.0694 0.0838 0.1003 0.1190 0.1401 0.1635 0.1894 0.2177 0.2483 0.2810 0.3156 0.3520 0.3897 0.4286 0.4681 0.08 0.09 0.0002 0.0003 0.0005 0.0007 0.0010 0.0014 0.0019 0.0026 0.0036 0.0048 m 0.0064 0.0084 0.0110 0.0143 0.0183 0.0233 0.0294 0.0367 0.0455 0.0559 0.0681 0.0823 0.0985 0.1170 0.1379 0.1611 0.1867 0,2148 0.2451 0.2776 0.3121 0.3483 0.3859 0.4247 0.4641 0.09 standard normal distribution tablStandard Normal Distribution Table (page 2) z 0.0 0.1 0.2 0.3 0.4 0.5 0.6 0,7 0.8 0.9 1.0 1.1 1.2 1.3 1.4 1.5 1.6 1.7 1.8 1.9 2.0 2.1 2.2 2.3 2.4 2.5 2.6 2.7 2.9 3.0 3.1 3.2 3.4 Z Area 0.00 0.5000 0.5398 0.5793 0.6179 0.6554 www.w 0.6915 0.7257 0.7580 0.7881 0.8159 0.01 0.5040 0.5438 0.5832 0.6217 0.6591 www 0.6950 0.7291 0.7611 0.7910 0.8186 0.8438 0.8413 0.8643 0.8849 0.9032 0.9192 0.8665 0.8686 0.8708 0.8869 0.8888 0.9049 0.9066 0.9207 0.9222 0.8907 0.9082 0.9236 0.9332 0.9345 0.9357 0.9370 0.9452 0.9463 0.9474 0.9554 0.9564 0.9573 0.9641 0.9649 0.9656 0.9713 0.9719 0.9726 0.9772 0.9821 0.9826 0.9830 0.9861 0.9864 0.9868 0.9896 0.9898 0.9920 0.9922 0.9940 0.9941 0.9955 0.9966 0.9967 0.9975 0.9976 0.9982 0.9982 0.9956 03302 0.9893 0.9918 Standard Normal Distribution 0.03 0.04 0.05 0.02 0.5080 0.5120 0.5478 0.5871 0.6255 0.6628 0.5517 0.5910 0.6293 0.6664 Power 0.5160 0.5557 0.5948 0.6331 0.6700 viduee vieree 0.6985 0.7019 0.7054 0.7324 0.7357 0.7389 0.7642 0.7673 0.7704 0.7939 0.7967 0.7995 0.8212 0.8238 0.8264 0.8461 0.8485 0.8508 0.8729 0.8925 0.9099 0.9251 0.9938 0.9953 0.9965 0.9974 0.9981 www. 0.9987 0.9987 0.9987 0.9990 0.9991 0.9991 0.9993 0.9993 0.9994 0.9995 0.9997 0.9995 0.9997 0.02 0.00 0.9995 0.9997 0.01 0.9778 0.9783 0.9788 0.9793 0.9834 0.9871 0.9901 0.9925 0.7123 0.7157 0.7190 0.7517 0.7823 0.8106 0.8365 0.8599 0.8810 0.8997 0.9147 0.9162 0.9306 0.9382 0.9394 0.9406 0.9292 0.9418 0.9429 0.9484 0.9495 0.9505 0.9515 0.9525 0.9535 0.9582 0.9591 0.9599 0.9608 0.9616 0.9664 0.9671 0.9678 0.9686 0.9693 0.9738 0.9744 0.9732 0.9756 0.9750 0.9625 0.9798 0.9803 0.9808 0.9846 0.9850 0.9881 0.9884 0.9911 0.9932 0.9943 0.9957 0.9968 0.9969 0.9977 0.9977 0.9983 0.9984 0.9988 0.9991 0.9994 0.9996 0.9997 0.03 0.06 0.5199 0.5239 0.5636 0.6026 0.6406 0.6772 Sporte 0.5596 0.5987 0.6368 0.6736 www.00 0.9838 0.9842 0.9875 0.9878 0.9904 0.9906 0.9929 vezes 0.9927 M 0.9945 0.9959 0.9960 0.9970 0.9978 0.9984 VS30T 0.9989 0.9992 0.9994 0.9996 0.9997 0.9997 0.9996 0.04 0.05 0.9988 0.9992 0.9994 0.7088 0.7422 0.7454 0.7486 0.7734 0.7764 0.7794 0.8023 0.8051 0.8289 0.8315 0.8531 0.8554 0.8749 0.8770 0.8944 0.8962 0.9115 0.9131 0.9279 0.9265 0.9909 0.9931 0.9946 0.9948 0.9961 0.9971 0.9979 0.9985 0.07 0.5279 0.5675 0.6064 0.6443 0.6808 wwwwww 0.9989 0.9992 0.9994 0.9996 0.9997 0.06 0.08 0.5319 0.5714 0.6103 0.6480 0.6844 www 0.8078 0.8340 norte 0.8577 0.8790 0.8980 0.9699 0.9761 0.9812 0.9854 0.9887 0.9913 0.9934 0.9949 0.9951 0.9962 0.9972 0.9963 0.9973 0.9979 0.9985 0.9989 0.9992 0.9995 0.9996 0.9997 0.07 0.9980 0.9986 0.9990 0.9993 0.9995 0.9996 0.9997 0.08 0.09 0.5359 0.5753 0.6141 0.6517 0.6879 aware 0.7224 0.7549 0.7852 0.8133 0.8389 0.8621 0.8830 0.9015 0.9177 0.9319 0.9441 0.9545 0.9633 0.9706 0.9767 0.9817 0.9857 0.9890 0.9916 0.9936 www 0.9952 0.9964 0.9974 0.9981 0.9986 caree 0.9990 0.9993 0.9995 0.9997 0.9998 0.09 D
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