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Find the area of the shaded region. The graph depicts the standard normal distribution of bone density scores with mean 0 and standard deviation 1.   z= -0.85  and  z= 1.25   The area of the shaded region is __________ (Rounded to four decimal places as needed.)

Find the area of the shaded region. The graph depicts the standard normal distribution of bone density scores with mean 0 and standard deviation 1.   z= -0.85  and  z= 1.25   The area of the shaded region is __________ (Rounded to four decimal places as needed.)

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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Find the area of the shaded region. The graph depicts the standard normal distribution of bone density scores with mean 0 and standard deviation 1.

 

z= -0.85  and  z= 1.25

 

The area of the shaded region is __________ (Rounded to four decimal places as needed.)

00 01 02 03 04 as 06 07 08 09 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 2.9 3.0 3.1 3.2 3.3 3.4 3.50 and up Standard Normal (z) Distribution: .00 5000 5398 5795 5832 6179 6217 6554 659 6950 .7291 7257 7580 7881 8159 01 5040 5438 8413 8643 8849 9032 9049 9192 9207 9332 9345 9452 9463 .9554 9564 9641 9713 9772 9981 9987 9861 9893 9918 9920 9938 9990 9993 9995 9997 9999 7910 8186 8212 8438 8665 9719 9778 9826 9864 .9953 .9955 .9965 9974 1645 0.9500 2.575 0.9950 02 5080 5478 5871 6255 6628 6985 7324 7642 7939 9966 9896 9898 9922 9941 8461 8686 8868 9066 9995 9997 9222 9357 9414 9673 9656 9726 9783 9030 9868 9956 9967 9975 9976 9982 9982 9987 9987 9991 9991 9994 POSITIVE Z Scores 9997 .03 5120 5910 6293 6664 04 S160 $199 .5657 5696 5948 5987 6331 6368 6700 6736 7019 7054 .7088 7357 .7389 7422 3673 .7704 7734 7995 8023 8051 8289 .8315 8631 8749 8238 8485 8708 8907 9082 9236 9370 9484 9582 9664 9732 9788 9834 9871 9901 9925 9943 9957 9968 9977 9983 9988 9991 9994 9996 9997 Cumulative Area from the LEFT 05.06.07 08 5239 5279 .5636 5675 6026 6064 6443 8508 8729 8925 .9099 9251 9382 9495 9591 9671 9738 .9793 .9830 .9875 .9904 9927 9945 .9946 NOTE: For values of z above 3.49, use 0.9999 for the area. "Use these common values that result from interpolation z score 9115 9265 9505 A 9599 9678 9744 .9798 9842 .9959 9960 9909 9970 9977 9978 9984 9988 9992 9994 9996 9997 9984 9909 9992 .6406 6772 9997 7123 3454 .7764 .8554 8770 8962 .9131 .9681 .9906 .9909 9929 9931 9279 9406 9515 .9608 .9686 .9750 .9603 9996 9961 9971 9979 9985 6866 .9992 9994 9666 9997 8099 7157 7486 7794 8078 8340 8577 8790 8900 .9147 9292 9416 9429 9535 9756 .9808 5319 5714 9525 9616 9625 9693 9699 9761 9812 9854 9887 9913 9934 9150 6103 6480 6844 7190 7517 .7823 8106 8365 8599 8810 8997 9162 9306 9972 9979 9985 9989 9992 .9995 9996 9997 -9884 .9911 9932 .9949 ..9951 99629963 9975 9900 9866 9990 9993 9995 9996 9997 09 5359 5753 6141 6517 6879 7224 7549 .7852 8133 8389 8621 8830 9015 9177 9319 9441 9545 9706 9817 9857 9890 9916 .9936 9964 .9974 9901 9866 9990 9993 9997 9998 Common Critical Valux Confidence | Critical Level 0.90 0.95 0.99 1.645 1.96 2.575
Transcribed Image Text:00 01 02 03 04 as 06 07 08 09 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 2.9 3.0 3.1 3.2 3.3 3.4 3.50 and up Standard Normal (z) Distribution: .00 5000 5398 5795 5832 6179 6217 6554 659 6950 .7291 7257 7580 7881 8159 01 5040 5438 8413 8643 8849 9032 9049 9192 9207 9332 9345 9452 9463 .9554 9564 9641 9713 9772 9981 9987 9861 9893 9918 9920 9938 9990 9993 9995 9997 9999 7910 8186 8212 8438 8665 9719 9778 9826 9864 .9953 .9955 .9965 9974 1645 0.9500 2.575 0.9950 02 5080 5478 5871 6255 6628 6985 7324 7642 7939 9966 9896 9898 9922 9941 8461 8686 8868 9066 9995 9997 9222 9357 9414 9673 9656 9726 9783 9030 9868 9956 9967 9975 9976 9982 9982 9987 9987 9991 9991 9994 POSITIVE Z Scores 9997 .03 5120 5910 6293 6664 04 S160 $199 .5657 5696 5948 5987 6331 6368 6700 6736 7019 7054 .7088 7357 .7389 7422 3673 .7704 7734 7995 8023 8051 8289 .8315 8631 8749 8238 8485 8708 8907 9082 9236 9370 9484 9582 9664 9732 9788 9834 9871 9901 9925 9943 9957 9968 9977 9983 9988 9991 9994 9996 9997 Cumulative Area from the LEFT 05.06.07 08 5239 5279 .5636 5675 6026 6064 6443 8508 8729 8925 .9099 9251 9382 9495 9591 9671 9738 .9793 .9830 .9875 .9904 9927 9945 .9946 NOTE: For values of z above 3.49, use 0.9999 for the area. "Use these common values that result from interpolation z score 9115 9265 9505 A 9599 9678 9744 .9798 9842 .9959 9960 9909 9970 9977 9978 9984 9988 9992 9994 9996 9997 9984 9909 9992 .6406 6772 9997 7123 3454 .7764 .8554 8770 8962 .9131 .9681 .9906 .9909 9929 9931 9279 9406 9515 .9608 .9686 .9750 .9603 9996 9961 9971 9979 9985 6866 .9992 9994 9666 9997 8099 7157 7486 7794 8078 8340 8577 8790 8900 .9147 9292 9416 9429 9535 9756 .9808 5319 5714 9525 9616 9625 9693 9699 9761 9812 9854 9887 9913 9934 9150 6103 6480 6844 7190 7517 .7823 8106 8365 8599 8810 8997 9162 9306 9972 9979 9985 9989 9992 .9995 9996 9997 -9884 .9911 9932 .9949 ..9951 99629963 9975 9900 9866 9990 9993 9995 9996 9997 09 5359 5753 6141 6517 6879 7224 7549 .7852 8133 8389 8621 8830 9015 9177 9319 9441 9545 9706 9817 9857 9890 9916 .9936 9964 .9974 9901 9866 9990 9993 9997 9998 Common Critical Valux Confidence | Critical Level 0.90 0.95 0.99 1.645 1.96 2.575
better print out NEGATIVE Z Scores -3.50 and lower -33 -32 -3.1 -3.0 -2.9 -2.8 -2.7 -2.6 -2.5 -2.4 -2.3 -22 -21 -20 -19 -18 -17 -16 -15 -14 -13 -12 -11 -10 -0.9 -0.8 -07 -0.6 -0.5 -0.4 -0.3 -0.2 -0.1 -0.0 Standard Normal (2) Distribution: Cumulative Area from the LEFT 02 .05 .06 .00 0026 0035 0047 0062 0001 0005 .0003 0003 .0003 .0003 0003 0003 .0003 0005 0005 0004 0004 0004 0007 0007 0006 0006 0006 0006 0008 0010 0009 .0009 .0009 0008 0013 oon 0019 .0016 0022 0021 0030 0029 0082 0107 0139 0179 0228 0287 0359 0446 0548 0668 0808 0968 1151 1357 1587 1841 2119 2420 2743 3085 3666 4207 4602 5000 0080 0104 0136 0174 0222 0281 0351 0436 0537 0655 0793 0951 3131 1335 0013 0013 0012 0018 0018 0016 0025 0024 .0023 0023 0034 0033 0032 0031 0045 0044 0043 0041 0060 0050 0057 .0055 03 0170 0217 0274 0344 0427 0526 0643 0778 0934 1112 0078 .0075 0102 0099 0132 0129 0166 0212 0268 1314 1539 1788 2061 2358 2676 1814 2090 2389 2709 3050 3015 3409 3372 3783 3745 4168 4129 4562 4522 4960 4920 0012 .0017 0336 0418 0516 0630 0764 0918 1093 1292 1515 1762 2033 2327 .04 2981 3707 4090 4483 4680 0040 0054 .0073 .0071 0096 0125 0162 0207 0262 0094 0122 0158 0329 0322 0409 0401 0202 0256 05050495 0618 0606 0749 0735 0901 0885 3075 3056 3251 2946 3300 1271 3492 1469 1736 3711 2005 1977 2296 2266 2611 2578 2912 3264 3632 4052 4013 4443 4404 4840 4801 NOTE: For values of z below-3.49, use 0.0001 for the area. "Use these common values that result from interpolation z score Area -1645 0.0500 -2.575 0.0050 0006 .0008 .com .0015 0004 0004 0039 0052 .0069 0091 019 0154 0197 0250 0314 0392 0485 0594 0721 0869 3038 1230 3446 1685 1949 2236 2546 2877 .07 3594 3974 4364 0003 0003 0005 0008 08 0007 .com 0010 0015 0014 0021 0020 0028 0027 0038 0037 0051 . 0049 00680066 0307 0384 0475 0582 0708 0853 3020 1210 3423 1660 1922 2206 2514 2843 0089 0087 0116 0113 0150 0146 0192 0108 0244 0239 3557 3936 0004 0005 4721 0301 0375 0465 0571 0694 0838 3003 3156 3520 09 3897 4206 A6 0002 0003 DO05 0007 0010 0014 0019 0026 0036 _0048 0064 0064 סום 1190 1170 3401 1635 1894 2177 2483 2810 0143 0183 0233 0294 0367 0455 0559 0681 0823 0985 3379 3611 1867 2148 2451 2776 3121 3483 3859 A247 A641
Transcribed Image Text:better print out NEGATIVE Z Scores -3.50 and lower -33 -32 -3.1 -3.0 -2.9 -2.8 -2.7 -2.6 -2.5 -2.4 -2.3 -22 -21 -20 -19 -18 -17 -16 -15 -14 -13 -12 -11 -10 -0.9 -0.8 -07 -0.6 -0.5 -0.4 -0.3 -0.2 -0.1 -0.0 Standard Normal (2) Distribution: Cumulative Area from the LEFT 02 .05 .06 .00 0026 0035 0047 0062 0001 0005 .0003 0003 .0003 .0003 0003 0003 .0003 0005 0005 0004 0004 0004 0007 0007 0006 0006 0006 0006 0008 0010 0009 .0009 .0009 0008 0013 oon 0019 .0016 0022 0021 0030 0029 0082 0107 0139 0179 0228 0287 0359 0446 0548 0668 0808 0968 1151 1357 1587 1841 2119 2420 2743 3085 3666 4207 4602 5000 0080 0104 0136 0174 0222 0281 0351 0436 0537 0655 0793 0951 3131 1335 0013 0013 0012 0018 0018 0016 0025 0024 .0023 0023 0034 0033 0032 0031 0045 0044 0043 0041 0060 0050 0057 .0055 03 0170 0217 0274 0344 0427 0526 0643 0778 0934 1112 0078 .0075 0102 0099 0132 0129 0166 0212 0268 1314 1539 1788 2061 2358 2676 1814 2090 2389 2709 3050 3015 3409 3372 3783 3745 4168 4129 4562 4522 4960 4920 0012 .0017 0336 0418 0516 0630 0764 0918 1093 1292 1515 1762 2033 2327 .04 2981 3707 4090 4483 4680 0040 0054 .0073 .0071 0096 0125 0162 0207 0262 0094 0122 0158 0329 0322 0409 0401 0202 0256 05050495 0618 0606 0749 0735 0901 0885 3075 3056 3251 2946 3300 1271 3492 1469 1736 3711 2005 1977 2296 2266 2611 2578 2912 3264 3632 4052 4013 4443 4404 4840 4801 NOTE: For values of z below-3.49, use 0.0001 for the area. "Use these common values that result from interpolation z score Area -1645 0.0500 -2.575 0.0050 0006 .0008 .com .0015 0004 0004 0039 0052 .0069 0091 019 0154 0197 0250 0314 0392 0485 0594 0721 0869 3038 1230 3446 1685 1949 2236 2546 2877 .07 3594 3974 4364 0003 0003 0005 0008 08 0007 .com 0010 0015 0014 0021 0020 0028 0027 0038 0037 0051 . 0049 00680066 0307 0384 0475 0582 0708 0853 3020 1210 3423 1660 1922 2206 2514 2843 0089 0087 0116 0113 0150 0146 0192 0108 0244 0239 3557 3936 0004 0005 4721 0301 0375 0465 0571 0694 0838 3003 3156 3520 09 3897 4206 A6 0002 0003 DO05 0007 0010 0014 0019 0026 0036 _0048 0064 0064 סום 1190 1170 3401 1635 1894 2177 2483 2810 0143 0183 0233 0294 0367 0455 0559 0681 0823 0985 3379 3611 1867 2148 2451 2776 3121 3483 3859 A247 A641
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