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Find the Z-score such that the area under the standard normal curve to the right is 0.45.

Find the Z-score such that the area under the standard normal curve to the right is 0.45.

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 Z-score such that the area under the standard normal curve to the right is 0.45. Click the icon to view a table of areas under the normal curve. The approximate Z-score that corresponds to a right tail area of 0.45 is (Round to two decimal places as needed.)
Transcribed Image Text:Find the Z-score such that the area under the standard normal curve to the right is 0.45. Click the icon to view a table of areas under the normal curve. The approximate Z-score that corresponds to a right tail area of 0.45 is (Round to two decimal places as needed.)
TABLE V Standard Normal Distribution .00 .01 .02 .03 .04 .05 .06 07 .08 .09 Area -34 -33 -3.2 0.0003 0.0003 0.0003 0.0003 0.0003 0.0003 0.0003 0.0003 0.0003 0.0002 0.0004 0.0005 0.0005 0.0005 0.0004 0.0004 0.0004 0.0004 0.0004 0.0003 0.0006 0.0006 0.0006 0.0008 0.0012 0.0007 0.0007 0.0006 0.0006 0.0005 0.0005 0.0005 -3.1 -3.0 0.0010 0.0009 0.0009 0.0013 0.0008 0.0008 0.0011 0.0011 0.0007 0.0010 0.0007 0.0010 0.0009 0.0008 0.0013 0.0013 0.0012 0.0011 -29 2.8 -2.7 -2.6 -2.5 0.0018 0.0024 0.0023 0.0023 0.0033 0.0016 0.0022 0.0030 0.0015 0.0015 0.0014 0.0021 0.0021 0.0029 0.0028 0.0039 0.0038 0.0051 0.0019 0.0018 0.0017 0.0016 0.0014 0.0026 0.0025 0.0035 0.0034 0.0020 0.0027 0.0019 0.0032 0.0031 0.0041 0.0026 0.0036 0.0048 0.0047 0.0045 0.0060 0.0044 0.0043 0.0040 0.0037 0.0062 0.0059 0.0057 0.0055 0.0054 0.0052 0.0049 0.0082 0.0107 0.0139 0.0136 0.0132 0.0129 0.0125 0.0122 0.0119 00179 0.0228 -2.4 -2.3 0.0080 0.0104 0.0078 0.0075 0.0073 0.0096 0.0064 0.0084 0.0110 0.0071 0.0069 0.0068 0,0066 0.0094 0.0091 0.0089 0.0087 0.0113 0.0102 0.0099 -2.2 0.0116 0.0174 0.0170 0.0166 0.0162 0.0158 0.0154 0.0212 -2.1 0.0150 0.0146 0.0143 -20 0.0222 0.0217 0.0207 0.0202 0.0197 0.0192 0.0188 0.0183 0.0268 0,0336 0.0239 0.0233 0,0301 0.0294 0.0375 0.0367 -19 0.0287 0.0359 0.0446 0.0281 0.0351 0.0274 0.0344 0.0436 0.0427 0.0418 0.0526 0.0516 0.0262 0.0329 0.0409 0.0256 0.0322 0.0250 0.0244 0.0314 0.0307 0.0392 0.0384 0.0485 0.0475 -1.8 -1.7 -16 0.0401 0.0495 0.0548 0.0537 0.0505 0.0465 0.0455 -1. 0.0668 0.0655 0.0643 0.0630 0.0618 0.0606 0.0594 0.0582 0.0571 0.0559 -1.4 -1.3 -1.2 -11 0.0681 0.0823 0.0985 0.1251 0.1230 0.1210 0.1190 0.1170 0.0808 0.0793 0.0778 0.0764 0.0749 0.0735 0.0721 0.0708 0.0885 0.0869 0.0853 0.1038 0.1020 0.0694 0.0838 0.1003 0.0968 0.0951 0.0934 0.0918 0.0901 0.1131 0.1112 0.1093 0.1075 0.1056 0.1292 0.1271 0.1587 0.1562 0.1539 0.1515 0.1492 0.1469 0.1446 0.1151 0.1357 1.1 -1.0 0.1335 0.1314 0.1423 0.1401 0.1379 0.1611 0.1867 0.2148 0.2451 -0.9 0.1841 0.1814 0.1788 0.1762 0.1736 0.2119 0.2420 0.2389 0.2743 0.2709 0.2676 0.2643 0.1711 0.1977 0.1949 0.1922 0.1685 0.1660 0.1635 -0.8 0.2090 0.2061 0.2033 0.1894 -0.7 -06 0.2358 0.2327 0.2296 0.2266 0.2236 0.2206 0.2611 0.2177 0.2483 0.2578 0.2546 0.2514 -0,5 0.3085 0.3050 0.2981 0.3015 0.2946 0.2877 0.2843 0.2810 0.2776 0.2912 -04 -0.3 -0.2 0.3446 0.3821 0.4207 0,4602 0.5000 0.5000 .1 0.3409 0.3372 0.3336 0.3783 03745 0.3707 0.4168 0.4129 0.4090 0.4052 0.4562 0.4960 0.4840 0.5040 0.5438 0.5478 0.3300 0.3264 0.3228 0.3192 0.3156 0.3121 0.3483 0.4013 0.3974 0.3936 0.3897 0.3859 0.4247 0.4641 0.5359 0.5753 0.6141 0.6517 0.6879 0.3669 0.3632 0.3594 0.3557 0.3520 -0.1 0.4522 0.4483 0.4443 0.4325 0.4404 0.4364 0.4801 0.4761 0.4721 0.5199 05239 0.5636 0.4286 0.4681 0.5319 0.5714 0.6103 0.6480 0.6844 0.4920 0.5080 -0.0 0.4880 0.5120 0.5160 0.5557 0.5948 0.6331 0.6700 0.5279 0.5675 0.6064 0,6443 0.0 0.1 0.2 0.3 04 0.5398 0.5793 0.5832 0.5871 0.6179 0.6217 0.6255 0.6293 0.6554 0.5517 0.5910 0.5596 0.5987 0,6026 0.6368 0.6406 0.6772 0.6591 0.6628 0.6664 0.6736 0.6808 0.5 0.6915 0.6950 0.6985 0.7257 0.7291 0.7324 0.7580 0.7611 0.7642 0.7881 0.7910 0.7967 0.7019 0.7054 0.7088 0.7123 0.7157 0.7190 0.7224 0.7549 0.7357 0.7389 0.7422 0.7454 0,7734 0.7995 0.8023 0.8051 0.8289 0.7486 0.7517 0.7794 0.8078 0,8315 0,8340 0.8365 0.6 0.7704 0.7823 0.7852 0.8133 0.8389 0.7 0.7673 0.7764 0.7939 0.8212 0.8 0.8106 0.9 0.8159 0.8186 0.8238 0.8264 1.0 1.1 0.8413 0.8438 0.8461 0.8485 08508 08729 0.8925 0.9099 0.9251 0.8531 0.8554 O8749 0.8770 0.8577 0.8599 0.8790 0.8810 0.8997 0.9162 0.8621 0.8830 0.9015 0.9177 0.9319 0.8643 0.8665 0.8686 0.8708 0.8962 0.8980 0.9131 0.9265 0.9279 0.9292 1.2 0.8849 0.8869 0.8888 0.8907 0.8944 0.9032 0.9192 1.3 0.9049 0.9066 0.9082 0.9115 0.9147 1.4 0.9207 0.9222 0.9236 0.9306 0.9332 0.9345 0.9357 0.9370 0,9382 0,9452 0.9554 0.9641 0.9713 0.9441 0.9545 0.9429 1.5 16 1.7 18 0.9394 0.9406 0.9418 0.9505 0.9515 0.9463 0.9564 0.9573 0.9649 0.9719 0.9484 0.9582 0.9656 0.9664 0.9726 0.9732 0.9525 0.9535 0.9599 0.9608 0.9616 0.9625 0.9633 0.9693 0,9756 0.9474 0.9495 0.9591 0.9671 0.9738 0.9678 0.9686 0.9706 0.9767 0.9699 1.9 0.9744 0.9750 0.9761 0.9793 0.9838 0.9875 0.9808 2.0 2.1 2.2 0.9772 0.9821 0.9861 0.9778 0.9783 0.9826 0.9830 0.9834 0.9864 0.9868 0.9898 0.9922 0.9803 0.9842 0.9846 0,9850 0.9854 0.9881 0.9788 0.9798 0.9812 0.9817 0.9857 0.9887 0.9890 0.9871 0.9878 0.9884 2.3 0.9893 0.9896 0.9901 0.9925 0.9904 0.9906 0.9909 0.9911 0.9932 0.9913 0.9934 0.9916 0.9936 24 0.9918 0.9920 0.9927 0.9929 0.9931 0.9938 0.9953 0.9955 0.9966 0,9974 0.9975 0.9981 0.9943 0.9957 0.9968 0.9977 0.9982 0.9983 0.9945 0.9959 0,9969 0.9977 0.9984 0.9952 0.9964 0.9974 2.5 0.9940 0.9941 0.9946 0.9948 0.9949 0.9951 0.9961 0.9971 26 0.9956 0.9960 0.9962 0.9963 0.9967 0.9976 2.7 0.9970 0.9978 0.9984 0.9985 0.9972 0.9973 0.9979 0.9980 0.9985 0.9986 0.9965 28 0.9979 0.9981 29 0.9982 0.9986 0.9987 0.9987 0.9990 0.9991 0.9993 0.9988 0.9991 0.9993 0.9994 0.9994 0.9988 0.9992 0.9992 0.9992 0.9994 0.9994 0.9994 0.9989 3.0 3.1 0.9987 0.9991 0.9989 0.9989 0.9992 0.9993 0.9990 0.9990 0.9993 0.9995 3.2 0.9995 0.9995 33 34 0.9995 0.9997 0.9997 0.9997 0.9997 09995 0.9995 0.9996 0.9996 0.9996 0.9996 0.9997 0.9996 0.9996 0.9997 0.9997 0.9997 0.9997 0.9997 0.9998 00 .01 .02 .03 .04 .05 .06 .07 .08 09
Transcribed Image Text:TABLE V Standard Normal Distribution .00 .01 .02 .03 .04 .05 .06 07 .08 .09 Area -34 -33 -3.2 0.0003 0.0003 0.0003 0.0003 0.0003 0.0003 0.0003 0.0003 0.0003 0.0002 0.0004 0.0005 0.0005 0.0005 0.0004 0.0004 0.0004 0.0004 0.0004 0.0003 0.0006 0.0006 0.0006 0.0008 0.0012 0.0007 0.0007 0.0006 0.0006 0.0005 0.0005 0.0005 -3.1 -3.0 0.0010 0.0009 0.0009 0.0013 0.0008 0.0008 0.0011 0.0011 0.0007 0.0010 0.0007 0.0010 0.0009 0.0008 0.0013 0.0013 0.0012 0.0011 -29 2.8 -2.7 -2.6 -2.5 0.0018 0.0024 0.0023 0.0023 0.0033 0.0016 0.0022 0.0030 0.0015 0.0015 0.0014 0.0021 0.0021 0.0029 0.0028 0.0039 0.0038 0.0051 0.0019 0.0018 0.0017 0.0016 0.0014 0.0026 0.0025 0.0035 0.0034 0.0020 0.0027 0.0019 0.0032 0.0031 0.0041 0.0026 0.0036 0.0048 0.0047 0.0045 0.0060 0.0044 0.0043 0.0040 0.0037 0.0062 0.0059 0.0057 0.0055 0.0054 0.0052 0.0049 0.0082 0.0107 0.0139 0.0136 0.0132 0.0129 0.0125 0.0122 0.0119 00179 0.0228 -2.4 -2.3 0.0080 0.0104 0.0078 0.0075 0.0073 0.0096 0.0064 0.0084 0.0110 0.0071 0.0069 0.0068 0,0066 0.0094 0.0091 0.0089 0.0087 0.0113 0.0102 0.0099 -2.2 0.0116 0.0174 0.0170 0.0166 0.0162 0.0158 0.0154 0.0212 -2.1 0.0150 0.0146 0.0143 -20 0.0222 0.0217 0.0207 0.0202 0.0197 0.0192 0.0188 0.0183 0.0268 0,0336 0.0239 0.0233 0,0301 0.0294 0.0375 0.0367 -19 0.0287 0.0359 0.0446 0.0281 0.0351 0.0274 0.0344 0.0436 0.0427 0.0418 0.0526 0.0516 0.0262 0.0329 0.0409 0.0256 0.0322 0.0250 0.0244 0.0314 0.0307 0.0392 0.0384 0.0485 0.0475 -1.8 -1.7 -16 0.0401 0.0495 0.0548 0.0537 0.0505 0.0465 0.0455 -1. 0.0668 0.0655 0.0643 0.0630 0.0618 0.0606 0.0594 0.0582 0.0571 0.0559 -1.4 -1.3 -1.2 -11 0.0681 0.0823 0.0985 0.1251 0.1230 0.1210 0.1190 0.1170 0.0808 0.0793 0.0778 0.0764 0.0749 0.0735 0.0721 0.0708 0.0885 0.0869 0.0853 0.1038 0.1020 0.0694 0.0838 0.1003 0.0968 0.0951 0.0934 0.0918 0.0901 0.1131 0.1112 0.1093 0.1075 0.1056 0.1292 0.1271 0.1587 0.1562 0.1539 0.1515 0.1492 0.1469 0.1446 0.1151 0.1357 1.1 -1.0 0.1335 0.1314 0.1423 0.1401 0.1379 0.1611 0.1867 0.2148 0.2451 -0.9 0.1841 0.1814 0.1788 0.1762 0.1736 0.2119 0.2420 0.2389 0.2743 0.2709 0.2676 0.2643 0.1711 0.1977 0.1949 0.1922 0.1685 0.1660 0.1635 -0.8 0.2090 0.2061 0.2033 0.1894 -0.7 -06 0.2358 0.2327 0.2296 0.2266 0.2236 0.2206 0.2611 0.2177 0.2483 0.2578 0.2546 0.2514 -0,5 0.3085 0.3050 0.2981 0.3015 0.2946 0.2877 0.2843 0.2810 0.2776 0.2912 -04 -0.3 -0.2 0.3446 0.3821 0.4207 0,4602 0.5000 0.5000 .1 0.3409 0.3372 0.3336 0.3783 03745 0.3707 0.4168 0.4129 0.4090 0.4052 0.4562 0.4960 0.4840 0.5040 0.5438 0.5478 0.3300 0.3264 0.3228 0.3192 0.3156 0.3121 0.3483 0.4013 0.3974 0.3936 0.3897 0.3859 0.4247 0.4641 0.5359 0.5753 0.6141 0.6517 0.6879 0.3669 0.3632 0.3594 0.3557 0.3520 -0.1 0.4522 0.4483 0.4443 0.4325 0.4404 0.4364 0.4801 0.4761 0.4721 0.5199 05239 0.5636 0.4286 0.4681 0.5319 0.5714 0.6103 0.6480 0.6844 0.4920 0.5080 -0.0 0.4880 0.5120 0.5160 0.5557 0.5948 0.6331 0.6700 0.5279 0.5675 0.6064 0,6443 0.0 0.1 0.2 0.3 04 0.5398 0.5793 0.5832 0.5871 0.6179 0.6217 0.6255 0.6293 0.6554 0.5517 0.5910 0.5596 0.5987 0,6026 0.6368 0.6406 0.6772 0.6591 0.6628 0.6664 0.6736 0.6808 0.5 0.6915 0.6950 0.6985 0.7257 0.7291 0.7324 0.7580 0.7611 0.7642 0.7881 0.7910 0.7967 0.7019 0.7054 0.7088 0.7123 0.7157 0.7190 0.7224 0.7549 0.7357 0.7389 0.7422 0.7454 0,7734 0.7995 0.8023 0.8051 0.8289 0.7486 0.7517 0.7794 0.8078 0,8315 0,8340 0.8365 0.6 0.7704 0.7823 0.7852 0.8133 0.8389 0.7 0.7673 0.7764 0.7939 0.8212 0.8 0.8106 0.9 0.8159 0.8186 0.8238 0.8264 1.0 1.1 0.8413 0.8438 0.8461 0.8485 08508 08729 0.8925 0.9099 0.9251 0.8531 0.8554 O8749 0.8770 0.8577 0.8599 0.8790 0.8810 0.8997 0.9162 0.8621 0.8830 0.9015 0.9177 0.9319 0.8643 0.8665 0.8686 0.8708 0.8962 0.8980 0.9131 0.9265 0.9279 0.9292 1.2 0.8849 0.8869 0.8888 0.8907 0.8944 0.9032 0.9192 1.3 0.9049 0.9066 0.9082 0.9115 0.9147 1.4 0.9207 0.9222 0.9236 0.9306 0.9332 0.9345 0.9357 0.9370 0,9382 0,9452 0.9554 0.9641 0.9713 0.9441 0.9545 0.9429 1.5 16 1.7 18 0.9394 0.9406 0.9418 0.9505 0.9515 0.9463 0.9564 0.9573 0.9649 0.9719 0.9484 0.9582 0.9656 0.9664 0.9726 0.9732 0.9525 0.9535 0.9599 0.9608 0.9616 0.9625 0.9633 0.9693 0,9756 0.9474 0.9495 0.9591 0.9671 0.9738 0.9678 0.9686 0.9706 0.9767 0.9699 1.9 0.9744 0.9750 0.9761 0.9793 0.9838 0.9875 0.9808 2.0 2.1 2.2 0.9772 0.9821 0.9861 0.9778 0.9783 0.9826 0.9830 0.9834 0.9864 0.9868 0.9898 0.9922 0.9803 0.9842 0.9846 0,9850 0.9854 0.9881 0.9788 0.9798 0.9812 0.9817 0.9857 0.9887 0.9890 0.9871 0.9878 0.9884 2.3 0.9893 0.9896 0.9901 0.9925 0.9904 0.9906 0.9909 0.9911 0.9932 0.9913 0.9934 0.9916 0.9936 24 0.9918 0.9920 0.9927 0.9929 0.9931 0.9938 0.9953 0.9955 0.9966 0,9974 0.9975 0.9981 0.9943 0.9957 0.9968 0.9977 0.9982 0.9983 0.9945 0.9959 0,9969 0.9977 0.9984 0.9952 0.9964 0.9974 2.5 0.9940 0.9941 0.9946 0.9948 0.9949 0.9951 0.9961 0.9971 26 0.9956 0.9960 0.9962 0.9963 0.9967 0.9976 2.7 0.9970 0.9978 0.9984 0.9985 0.9972 0.9973 0.9979 0.9980 0.9985 0.9986 0.9965 28 0.9979 0.9981 29 0.9982 0.9986 0.9987 0.9987 0.9990 0.9991 0.9993 0.9988 0.9991 0.9993 0.9994 0.9994 0.9988 0.9992 0.9992 0.9992 0.9994 0.9994 0.9994 0.9989 3.0 3.1 0.9987 0.9991 0.9989 0.9989 0.9992 0.9993 0.9990 0.9990 0.9993 0.9995 3.2 0.9995 0.9995 33 34 0.9995 0.9997 0.9997 0.9997 0.9997 09995 0.9995 0.9996 0.9996 0.9996 0.9996 0.9997 0.9996 0.9996 0.9997 0.9997 0.9997 0.9997 0.9997 0.9998 00 .01 .02 .03 .04 .05 .06 .07 .08 09
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