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In a random sample of 39 criminals convicted of a certain​ crime, it was determined that the mean length of sentencing was 62 ​months, with a standard deviation of 11 months. Construct and interpret a 95​% confidence interval for the mean length of sentencing for this crime.   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.)   A.) 95​% of the sentences for the crime are between __ and ___ months.   B.)There is a 95​% probability that the mean length of sentencing for the crime is between ___ and ___ months. C.)We can be 95​% confident that the mean length of sentencing for the crime is between _ and _ months

In a random sample of 39 criminals convicted of a certain​ crime, it was determined that the mean length of sentencing was 62 ​months, with a standard deviation of 11 months. Construct and interpret a 95​% confidence interval for the mean length of sentencing for this crime.   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.)   A.) 95​% of the sentences for the crime are between __ and ___ months.   B.)There is a 95​% probability that the mean length of sentencing for the crime is between ___ and ___ months. C.)We can be 95​% confident that the mean length of sentencing for the crime is between _ and _ months

MATLAB: An Introduction with Applications
MATLAB: An Introduction with Applications
6th Edition
ISBN:9781119256830
Author:Amos Gilat
Publisher:Amos Gilat
Chapter1: Starting With Matlab
Section: Chapter Questions
Problem 1P
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Question

In a random sample of

39

criminals convicted of a certain​ crime, it was determined that the mean length of sentencing was

62

​months, with a standard deviation of

11

months. Construct and interpret a

95​%

confidence interval for the mean length of sentencing for this crime.

 

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.)
 
A.) 95​% of the sentences for the crime are between __ and ___ months.
 
B.)There is a 95​% probability that the mean length of sentencing for the crime is between ___ and ___
months.
C.)We can be 95​% confident that the mean length of sentencing for the crime is between _ and _
months
Z For z va;ues greater than 3.49, use 1.000 to approximate the area 0 0.1 0.2 0.3 0.4 0.5 0.6 0.7 0.8 0.9 1 1.1 1.2 1.3 1.4 1.5 1.6 1.7 1.8 1.9 2 2.1 2.2 2.3 2.4 2.5 2.6 2.7 2.8 2.9 3 3.1 3.2 3.3 3.4 0 0.5 0.5398 0.5793 0.6179 0.6554 0.6915 0.7257 0.758 0.7881 0.8159 0.8413 0.8643 0.8849 0.9032 0.9192 0.9332 0.9452 0.9554 0.9641 0.9713 0.9772 0.9821 0.9861 0.9893 0.9918 0.9938 0.9953 0.9965 0.9974 0.9981 0.9987 0.999 0.9993 0.9995 0.9997 0.06 0.09 0.5359 0.01 0.504 0.5438 0.5832 0.02 0.508 0.5478 0.5871 0.5753 0.6141 0.6217 0.6517 0.6879 0.7224 0.03 0.04 0.05 0.07 0.08 0.512 0.516 0.5199 0.5239 0.5279 0.5319 0.5517 0.5557 0.5596 0.5636 0.5675 0.5714 0.591 0.5948 0.5987 0.6026 0.6064 0.6103 0.6255 0.6293 0.6331 0.6368 0.6406 0.6443 0.648 0.6591 0.6628 0.6664 0.67 0.6736 0.6772 0.6808 0.6844 0.695 0.6985 0.7019 0.7054 0.7088 0.7123 0.7157 0.719 0.7291 0.7324 0.7357 0.7389 0.7422 0.7454 0.7486 0.7517 0.7549 0.7611 0.7642 0.7673 0.7704 0.7734 0.7764 0.7794 0.7823 0.7852 0.791 0.7939 0.7967 0.7995 0.8032 0.8051 0.8186 0.8212 0.8238 0.8264 0.8289 0.8315 0.8438 0.8461 0.8485 0.8508 0.8531 0.8599 0.8621 0.8665 0.8686 0.8708 0.8729 0.8749 0.877 0.881 0.8869 0.8888 0.8907 0.8925 0.8944 0.8962 0.898 0.8997 0.9049 0.9082 0.9099 0.9115 0.9131 0.9147 0.9162 0.9177 0.9236 0.9251 0.9265 0.9279 0.9292 0.9306 0.9319 0.937 0.9382 0.9394 0.9406 0.9418 0.9429 0.9441 0.9484 0.9495 0.9505 0.9515 0.9525 0.9535 0.9545 0.9582 0.9591 0.9599 0.9608 0.9616 0.9625 0.9633 0.9664 0.9671 0.9678 0.9686 0.9693 0.9699 0.9706 0.9744 0.975 0.9756 0.9761 0.9767 0.9798 0.9803 0.9808 0.9812 0.9817 0.9846 0.985 0.9884 0.8078 0.8106 0.8133 0.834 0.8365 0.8389 0.8577 0.879 0.8554 0.883 0.9015 0.9066 0.9207 0.9222 0.9345 0.9357 0.9463 0.9474 0.9564 0.9573 0.9649 0.9656 0.9719 0.9726 0.9778 0.9783 0.9826 0.983 0.9868 0.9732 0.9738 0.9788 0.9793 0.9834 0.9838 0.9842 0.9854 0.9857 0.9864 0.9871 0.9875 0.9878 0.9887 0.989 0.9881 0.9909 0.9896 0.9898 0.9901 0.9904 0.9906 0.9911 0.9913 0.9916 0.992 0.9922 0.9925 0.9927 0.9929 0.9931 0.9932 0.9934 0.9936 0.994 0.9941 0.9943 0.9945 0.9952 0.9955 0.9957 0.9959 0.9964 0.9956 0.9967 0.9976 0.9966 0.9948 0.9949 0.9951 0.9961 0.9962 0.9963 0.9971 0.9972 0.9973 0.9979 0.9979 0.9946 0.996 0.997 0.9978 0.9984 0.9968 0.9969 0.9974 0.9975 0.9981 0.998 0.9986 0.9982 0.9982 0.9985 0.9986 0.9985 0.9989 0.9987 0.9989 0.9989 0.999 0.9977 0.9977 0.9983 0.9984 0.9987 0.9988 0.9988 0.9991 0.9991 0.9992 0.9992 0.9994 0.9994 0.9994 0.9995 0.9996 0.999 0.9993 0.9991 0.9992 0.9993 0.9992 0.9994 0.9993 0.9994 0.9995 0.9995 0.9995 0.9995 0.9996 0.9996 0.9996 0.9996 0.9996 0.9997 0.9997 0.9997 0.9997 0.9997 0.9997 0.9997 0.9997 0.9997 0.9998
Transcribed Image Text:Z For z va;ues greater than 3.49, use 1.000 to approximate the area 0 0.1 0.2 0.3 0.4 0.5 0.6 0.7 0.8 0.9 1 1.1 1.2 1.3 1.4 1.5 1.6 1.7 1.8 1.9 2 2.1 2.2 2.3 2.4 2.5 2.6 2.7 2.8 2.9 3 3.1 3.2 3.3 3.4 0 0.5 0.5398 0.5793 0.6179 0.6554 0.6915 0.7257 0.758 0.7881 0.8159 0.8413 0.8643 0.8849 0.9032 0.9192 0.9332 0.9452 0.9554 0.9641 0.9713 0.9772 0.9821 0.9861 0.9893 0.9918 0.9938 0.9953 0.9965 0.9974 0.9981 0.9987 0.999 0.9993 0.9995 0.9997 0.06 0.09 0.5359 0.01 0.504 0.5438 0.5832 0.02 0.508 0.5478 0.5871 0.5753 0.6141 0.6217 0.6517 0.6879 0.7224 0.03 0.04 0.05 0.07 0.08 0.512 0.516 0.5199 0.5239 0.5279 0.5319 0.5517 0.5557 0.5596 0.5636 0.5675 0.5714 0.591 0.5948 0.5987 0.6026 0.6064 0.6103 0.6255 0.6293 0.6331 0.6368 0.6406 0.6443 0.648 0.6591 0.6628 0.6664 0.67 0.6736 0.6772 0.6808 0.6844 0.695 0.6985 0.7019 0.7054 0.7088 0.7123 0.7157 0.719 0.7291 0.7324 0.7357 0.7389 0.7422 0.7454 0.7486 0.7517 0.7549 0.7611 0.7642 0.7673 0.7704 0.7734 0.7764 0.7794 0.7823 0.7852 0.791 0.7939 0.7967 0.7995 0.8032 0.8051 0.8186 0.8212 0.8238 0.8264 0.8289 0.8315 0.8438 0.8461 0.8485 0.8508 0.8531 0.8599 0.8621 0.8665 0.8686 0.8708 0.8729 0.8749 0.877 0.881 0.8869 0.8888 0.8907 0.8925 0.8944 0.8962 0.898 0.8997 0.9049 0.9082 0.9099 0.9115 0.9131 0.9147 0.9162 0.9177 0.9236 0.9251 0.9265 0.9279 0.9292 0.9306 0.9319 0.937 0.9382 0.9394 0.9406 0.9418 0.9429 0.9441 0.9484 0.9495 0.9505 0.9515 0.9525 0.9535 0.9545 0.9582 0.9591 0.9599 0.9608 0.9616 0.9625 0.9633 0.9664 0.9671 0.9678 0.9686 0.9693 0.9699 0.9706 0.9744 0.975 0.9756 0.9761 0.9767 0.9798 0.9803 0.9808 0.9812 0.9817 0.9846 0.985 0.9884 0.8078 0.8106 0.8133 0.834 0.8365 0.8389 0.8577 0.879 0.8554 0.883 0.9015 0.9066 0.9207 0.9222 0.9345 0.9357 0.9463 0.9474 0.9564 0.9573 0.9649 0.9656 0.9719 0.9726 0.9778 0.9783 0.9826 0.983 0.9868 0.9732 0.9738 0.9788 0.9793 0.9834 0.9838 0.9842 0.9854 0.9857 0.9864 0.9871 0.9875 0.9878 0.9887 0.989 0.9881 0.9909 0.9896 0.9898 0.9901 0.9904 0.9906 0.9911 0.9913 0.9916 0.992 0.9922 0.9925 0.9927 0.9929 0.9931 0.9932 0.9934 0.9936 0.994 0.9941 0.9943 0.9945 0.9952 0.9955 0.9957 0.9959 0.9964 0.9956 0.9967 0.9976 0.9966 0.9948 0.9949 0.9951 0.9961 0.9962 0.9963 0.9971 0.9972 0.9973 0.9979 0.9979 0.9946 0.996 0.997 0.9978 0.9984 0.9968 0.9969 0.9974 0.9975 0.9981 0.998 0.9986 0.9982 0.9982 0.9985 0.9986 0.9985 0.9989 0.9987 0.9989 0.9989 0.999 0.9977 0.9977 0.9983 0.9984 0.9987 0.9988 0.9988 0.9991 0.9991 0.9992 0.9992 0.9994 0.9994 0.9994 0.9995 0.9996 0.999 0.9993 0.9991 0.9992 0.9993 0.9992 0.9994 0.9993 0.9994 0.9995 0.9995 0.9995 0.9995 0.9996 0.9996 0.9996 0.9996 0.9996 0.9997 0.9997 0.9997 0.9997 0.9997 0.9997 0.9997 0.9997 0.9997 0.9998
Z For values of z less than -3.49 use 0.000 to approximate the area 0 0.01 0.02 0.03 0.04 0.05 0.06 0.08 0.0003 0.09 0.0002 -3.4 0.0003 0.0003 0.0003 0.0003 0.0004 0.0004 0.0003 -3.3 -3.2 -3.1 0.0005 0.0006 0.0006 0.07 0.0003 0.0003 0.0003 0.0003 0.0004 0.0004 0.0004 0.0004 0.0006 0.0006 0.0006 0.0005 0.0008 0.0008 0.0008 0.0008 0.0012 0.0011 0.0011 0.0011 0.0005 0.0005 0.0005 0.0007 0.0009 0.0013 0.0009 0.0005 0.0007 0.001 -3 0.0013 -2.9 0.0019 -2.8 0.0026 0.0007 0.0007 0.0013 0.0009 0.0012 0.0017 0.001 0.0018 0.0018 0.0016 0.0016 0.0022 0.0015 0.0021 0.001 0.0014 0.002 0.0027 0.0024 0.0023 0.0023 0.0032 0.0014 0.0019 0.0026 0.0031 0.0037 0.0036 0.0025 0.0035 0.0034 0.0033 0.0047 0.0045 0.0044 0.0062 0.006 0.0059 0.0082 0.008 0.0078 0.0107 0.0104 0.0102 0.0139 0.0136 0.0043 0.0041 0.0057 0.0055 0.0075 0.0073 0.0049 0.0096 -2.7 -2.6 -2.5 -2.4 -2.3 -2.2 -2.1 0.0174 -2 0.0228 0.0222 -1.9 0.0287 0.0281 -1.8 0.0359 0.0351 -1.7 0.0446 0.0436 -1.6 0.0548 0.0537 0.0048 0.0066 0.0064 0.0087 0.0084 0.0113 0.011 0.0146 0.0143 0.0188 0.0239 0.0015 0.0021 0.003 0.0029 0.0028 0.004 0.0039 0.0038 0.0054 0.0052 0.0051 0.0071 0.0069 0.0068 0.0099 0.0094 0.0091 0.0089 0.0132 0.0129 0.0125 0.0122 0.0119 0.0116 0.017 0.0166 0.0162 0.0158 0.0154 0.015 0.0217 0.0212 0.0207 0.0202 0.0197 0.0192 0.0274 0.0268 0.0262 0.0256 0.025 0.0244 0.0344 0.0336 0.0329 0.0322 0.0314 0.0307 0.0301 0.0427 0.0418 0.0409 0.0401 0.0392 0.0384 0.0375 0.0526 0.0516 0.0505 0.0495 0.0485 0.0475 0.0465 0.063 0.0618 0.0606 0.0594 0.0582 0.0571 0.0749 0.0735 0.0721 0.0708 0.0694 0.0885 0.0869 0.0853 30838 0.1038 0.102 0.1003 0.123 0.121 0.119 0.0179 0.0182 0.0233 0.0294 0.0367 0.0455 0.0559 0.0668 0.0655 0.0643 0.0808 0.0793 0.0778 0.0764 0.0681 0.0968 0.0951 0.0934 0.0918 0.0701 0.0823 0.1151 0.1131 0.1112 0.1093 0.1075 0.1056 0.0985 -1.5 -1.4 -1.3 -1.2 -1.1 -1 -0.9 -0.8 0.1357 0.1335 0.1314 0.1292 0.1271 0.1251 0.117 0.1562 0.1539 0.1515 0.1492 0.1469 0.1446 0.1423 0.1401 0.1379 0.1587 0.1841 0.1814 0.1788 0.1762 0.1736 0.1711 0.1685 0.166 0.1635 0.1611 0.2119 0.2094 0.2061 0.2033 0.2005 0.1922 0.1894 0.1867 -0.7 0.2389 0.2358 0.2327 0.2296 0.2148 0.242 0.2743 -0.6 0.2709 0.2676 0.2643 0.2451 0.3085 0.305 0.3015 0.2776 0.281 0.3156 0.3446 0.3372 0.1977 0.1949 0.2266 0.2236 0.2206 0.2177 0.2611 0.2578 0.2546 0.2514 0.2483 0.2947 0.2912 0.2877 0.2843 0.33 0.3264 0.3228 0.3669 0.3632 0.4052 0.4013 0.4443 0.4404 0.484 0.4801 0.3192 0.3121 0.3557 0.352 -0.5 -0.4 -0.3 0.3821 -0.2 0.4207 -0.1 0.4602 0 0.5 0.3483 0.2981 0.3409 0.3336 0.3783 0.3745 0.3707 0.4168 0.4129 0.409 0.4562 0.4522 0.4483 0.496 0.492 0.488 0.3859 0.3594 0.3974 0.4364 0.4761 0.3936 0.3897 0.4325 0.4286 0.4247 0.4721 0.4681 0.4641
Transcribed Image Text:Z For values of z less than -3.49 use 0.000 to approximate the area 0 0.01 0.02 0.03 0.04 0.05 0.06 0.08 0.0003 0.09 0.0002 -3.4 0.0003 0.0003 0.0003 0.0003 0.0004 0.0004 0.0003 -3.3 -3.2 -3.1 0.0005 0.0006 0.0006 0.07 0.0003 0.0003 0.0003 0.0003 0.0004 0.0004 0.0004 0.0004 0.0006 0.0006 0.0006 0.0005 0.0008 0.0008 0.0008 0.0008 0.0012 0.0011 0.0011 0.0011 0.0005 0.0005 0.0005 0.0007 0.0009 0.0013 0.0009 0.0005 0.0007 0.001 -3 0.0013 -2.9 0.0019 -2.8 0.0026 0.0007 0.0007 0.0013 0.0009 0.0012 0.0017 0.001 0.0018 0.0018 0.0016 0.0016 0.0022 0.0015 0.0021 0.001 0.0014 0.002 0.0027 0.0024 0.0023 0.0023 0.0032 0.0014 0.0019 0.0026 0.0031 0.0037 0.0036 0.0025 0.0035 0.0034 0.0033 0.0047 0.0045 0.0044 0.0062 0.006 0.0059 0.0082 0.008 0.0078 0.0107 0.0104 0.0102 0.0139 0.0136 0.0043 0.0041 0.0057 0.0055 0.0075 0.0073 0.0049 0.0096 -2.7 -2.6 -2.5 -2.4 -2.3 -2.2 -2.1 0.0174 -2 0.0228 0.0222 -1.9 0.0287 0.0281 -1.8 0.0359 0.0351 -1.7 0.0446 0.0436 -1.6 0.0548 0.0537 0.0048 0.0066 0.0064 0.0087 0.0084 0.0113 0.011 0.0146 0.0143 0.0188 0.0239 0.0015 0.0021 0.003 0.0029 0.0028 0.004 0.0039 0.0038 0.0054 0.0052 0.0051 0.0071 0.0069 0.0068 0.0099 0.0094 0.0091 0.0089 0.0132 0.0129 0.0125 0.0122 0.0119 0.0116 0.017 0.0166 0.0162 0.0158 0.0154 0.015 0.0217 0.0212 0.0207 0.0202 0.0197 0.0192 0.0274 0.0268 0.0262 0.0256 0.025 0.0244 0.0344 0.0336 0.0329 0.0322 0.0314 0.0307 0.0301 0.0427 0.0418 0.0409 0.0401 0.0392 0.0384 0.0375 0.0526 0.0516 0.0505 0.0495 0.0485 0.0475 0.0465 0.063 0.0618 0.0606 0.0594 0.0582 0.0571 0.0749 0.0735 0.0721 0.0708 0.0694 0.0885 0.0869 0.0853 30838 0.1038 0.102 0.1003 0.123 0.121 0.119 0.0179 0.0182 0.0233 0.0294 0.0367 0.0455 0.0559 0.0668 0.0655 0.0643 0.0808 0.0793 0.0778 0.0764 0.0681 0.0968 0.0951 0.0934 0.0918 0.0701 0.0823 0.1151 0.1131 0.1112 0.1093 0.1075 0.1056 0.0985 -1.5 -1.4 -1.3 -1.2 -1.1 -1 -0.9 -0.8 0.1357 0.1335 0.1314 0.1292 0.1271 0.1251 0.117 0.1562 0.1539 0.1515 0.1492 0.1469 0.1446 0.1423 0.1401 0.1379 0.1587 0.1841 0.1814 0.1788 0.1762 0.1736 0.1711 0.1685 0.166 0.1635 0.1611 0.2119 0.2094 0.2061 0.2033 0.2005 0.1922 0.1894 0.1867 -0.7 0.2389 0.2358 0.2327 0.2296 0.2148 0.242 0.2743 -0.6 0.2709 0.2676 0.2643 0.2451 0.3085 0.305 0.3015 0.2776 0.281 0.3156 0.3446 0.3372 0.1977 0.1949 0.2266 0.2236 0.2206 0.2177 0.2611 0.2578 0.2546 0.2514 0.2483 0.2947 0.2912 0.2877 0.2843 0.33 0.3264 0.3228 0.3669 0.3632 0.4052 0.4013 0.4443 0.4404 0.484 0.4801 0.3192 0.3121 0.3557 0.352 -0.5 -0.4 -0.3 0.3821 -0.2 0.4207 -0.1 0.4602 0 0.5 0.3483 0.2981 0.3409 0.3336 0.3783 0.3745 0.3707 0.4168 0.4129 0.409 0.4562 0.4522 0.4483 0.496 0.492 0.488 0.3859 0.3594 0.3974 0.4364 0.4761 0.3936 0.3897 0.4325 0.4286 0.4247 0.4721 0.4681 0.4641
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