Homework Help is Here – Start Your Trial Now!
Math
Statistics
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

Mathematics For Machine Technology
Mathematics For Machine Technology
8th Edition
ISBN:9781337798310
Author:Peterson, John.
Publisher:Peterson, John.
Chapter65: Achievement Review—section Six
Section: Chapter Questions
Problem 33AR: Compute the cross-sectional area of the grooved block shown. Round the answer to 1 decimal place.
See similar textbooks
icon
Related questions
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
Expert Solution
trending now

Trending now

This is a popular solution!

steps

Step by step

Solved in 2 steps with 2 images

SEE SOLUTIONCheck out a sample Q&A here
Blurred answer
Recommended textbooks for you
Mathematics For Machine Technology
Mathematics For Machine Technology
Advanced Math
ISBN:
9781337798310
Author:
Peterson, John.
Publisher:
Cengage Learning,
Algebra: Structure And Method, Book 1
Algebra: Structure And Method, Book 1
Algebra
ISBN:
9780395977224
Author:
Richard G. Brown, Mary P. Dolciani, Robert H. Sorgenfrey, William L. Cole
Publisher:
McDougal Littell
SEE MORE TEXTBOOKS