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The mean incubation time of fertilized eggs is 19 days. Suppose the incubation times are approximately normally distributed with a standard deviation of 1 day. (a) Determine the 20th percentile for incubation times. (b) Determine the incubation times that make up the middle 95%. Click the icon to view a table of areas under the normal curve. (a) The 20th percentile for incubation times is 18 days. (Round to the nearest whole number as needed.) (b) The incubation times that make up the middle 95% are to days. (Round to the nearest whole number as needed. Use ascending order.)

The mean incubation time of fertilized eggs is 19 days. Suppose the incubation times are approximately normally distributed with a standard deviation of 1 day. (a) Determine the 20th percentile for incubation times. (b) Determine the incubation times that make up the middle 95%. Click the icon to view a table of areas under the normal curve. (a) The 20th percentile for incubation times is 18 days. (Round to the nearest whole number as needed.) (b) The incubation times that make up the middle 95% are to days. (Round to the nearest whole number as needed. Use ascending order.)

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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The mean incubation time of fertilized eggs is 19 days. Suppose the incubation times are approximately normally distributed with a standard deviation of 1 day. (a) Determine the 20th percentile for incubation times. (b) Determine the incubation times that make up the middle 95%. Click the icon to view a table of areas under the normal curve. (a) The 20th percentile for incubation times is 18 days. (Round to the nearest whole number as needed.) (b) The incubation times that make up the middle 95% are to days. (Round to the nearest whole number as needed. Use ascending order.)
Transcribed Image Text:The mean incubation time of fertilized eggs is 19 days. Suppose the incubation times are approximately normally distributed with a standard deviation of 1 day. (a) Determine the 20th percentile for incubation times. (b) Determine the incubation times that make up the middle 95%. Click the icon to view a table of areas under the normal curve. (a) The 20th percentile for incubation times is 18 days. (Round to the nearest whole number as needed.) (b) The incubation times that make up the middle 95% are to days. (Round to the nearest whole number as needed. Use ascending order.)
TABLE V Standard Normal Distribution 00 .01 .02 .03 .04 .05 .06 .07 .08 .09 Area -3.4 -3.3 -3.2 0.0003 0.0003 0.0003 0.0003 0.0003 0.0003 0.0003 0.0003 0.0003 0.0002 0.0004 0.0006 0.0004 0.0005 0.0007 0.0005 0.0007 0.0005 0.0006 0.0004 0.0006 0.0004 0.0004 0.0006 0.0004 0.0006 0.0005 0.0003 0.0005 0.0005 -3.1 -3.0 0.0009 0.0012 0.0010 0.0009 0.0008 0.0012 0.0009 0.0008 0.0008 0.0008 0.0007 0.0007 0.0013 0.0013 0.0013 0.0011 0.0011 0.0011 0.0010 0.0010 -29 -2.8 -27 0.0019 0.0026 0.0035 0,0018 0.0025 0.0034 0.0018 0.0024 0.0033 0.0017 0.0023 0.0032 0.0016 0.0023 0.0031 0.0016 0.0022 0.0030 0.0014 0.0020 0.0027 0.0014 0.0019 0.0026 0.0015 0.0015 0.0021 0.0021 0.0029 0.0028 -2.6 0.0047 0.0045 0.0044 0.0059 0.0040 0.0054 0.0052 0.0039 0.0038 0.0037 0.0036 0.0048 0.0043 0.0041 -2.5 0.0062 0.0060 0.0057 0.0055 0.0051 0.0049 0.0078 0.007s 0.0073 -2.4 -2.3 -2.2 0.0082 0.0107 0.0139 0.0071 0.0094 0.0091 0.0122 0.0119 0.0080 0.0069 0.0068 0.0066 0.0064 0.0104 0.0102 0.0099 0.0096 0.0089 0.0087 0.0084 0.0136 0.0132 0.0129 0.0125 0.0162 0.0207 0.0116 0.0113 0.0110 -2.1 -2.0 0.0179 0.0174 0.0170 0.0166 0.0222 0.0217 0.0158 0.0154 0.0197 0.0150 0.0146 0.0143 0.0192 0.0228 0.0212 0.0202 0.0188 0.0183 0.0287 0.0359 0.0281 0.0351 0.0268 0.0336 0.0262 0.0329 0.0256 0.0322 0.0233 0.0294 0.0367 0.0455 0.0274 -19 -1.8 -1.7 0.0344 0.0446 0.0436 0.0427 0.0418 0.0409 0.0401 0.0526 0.0250 0.0314 0.0392 0.0244 0.0239 0.0307 0.0301 0.0384 0.0375 0.0475 0.0465 -16 0.0548 0.0537 0.0516 0.0505 0.0495 0.0485 -1.5 0.0668 0.0655 0.0643 0.0630 0.0618 0.0606 0.0594 0.0582 0.0571 0.0559 0.0721 0.0869 -1.4 0.0808 0.0968 0.0793 0.0778 0.0764 0.0934 0.0918 0.1093 0.0749 0.0735 0.0708 0.0853 0.1020 0.0694 0.0681 0.0838 -1.3 -1.2 0.0951 0.0901 0.1075 0.0885 0.1056 0.1251 0.1038 0.1230 0.1210 0.1446 0.1423 0.0823 0.0985 0.1151 0.1131 0.1357 0.1335 0.1587 0.1112 0.1314 0.1292 0.1003 0.1190 0.1170 0.1401 0.1379 -1.1 0.1271 -1.0 0.1562 0.1539 0.1515 0.1492 0.1469 0.1711 -0.9 -08 -0.7 0.1841 0.2119 0.2420 0.2743 0.1814 0.1788 0.1762 0.2090 0.2061 0.2358 0.2676 0.3050 0.3015 0.2033 0.2327 0.2643 0.2981 0.1736 0.2005 0.1977 0.2296 0.2611 0.1685 0.1949 0.1922 0.2236 0.2206 0.2546 0.2514 0.1660 0.1635 0.1611 0.1894 02177 0.2483 0.2810 0.1867 0.2148 0.2451 0.2776 0.2389 0.2709 0.2266 0.2578 0.2912 0.2877 0.2843 -0.6 -0.5 0.3085 0.2946 0.3446 0.3821 0.4207 0.4602 0.3336 0.3707 0.4090 0.3156 0.3520 0.3897 0.4286 0.4681 0.5319 05714 0.6103 0.6480 0.6844 0.3409 0.3372 -04 -0.3 -0.2 -0.1 0.3264 0.3300 0.3669 0.3632 0.4052 0.4013 0.3228 0.3192 0.3594 0.3557 0.3936 0.3974 0.4364 0.3121 03483 03859 0.4247 0.3783 0.3745 0.4168 0.4129 0.4562 0.4522 0.4483 0.4443 0.4880 0.4840 0.5120 0.4325 0.4721 0.5279 0.5675 0.4404 0.4920 -0.0 0.0 0.1 0.5000 0.5000 0.5398 0.4960 0.5040 0.5438 0.5832 0.6217 0.4801 0.4761 0.5199 0.5239 0.5596 0.5636 0.4641 0.5359 0.5753 0.5080 0.5160 0.5478 0.5517 0.5557 0.2 0.3 0.4 0.5793 0.6179 0.6554 0.5910 0.6255 0.6293 0.6664 0.5987 0.6368 0.6736 0.6772 0.6026 0.6406 0.6141 0.6517 0.6879 0.5871 0.5948 0.6064 0.6443 0.6331 0.6700 0.6591 0.6628 0.6808 0.7019 0.7054 0.7357 0.7389 0.7422 0.7704 0.6950 0.6985 0.7088 0.7123 0.7454 0.7157 0.7190 0.7224 0.5 0.6 0.6915 0.7257 0.7580 0.7881 0.8159 0,7291 0.7324 0.7642 0.7673 0.7486 0.7517 0.7549 0.7 0.8 0.9 0.7611 0.7910 0.8186 0.7734 0.7764 0.8051 0.8315 0.7794 0.7823 0.8078 0.8106 0.8340 0.8365 0.7852 0.8133 0.8389 0.7939 0.7967 0.7995 0.8023 0.8212 0.8238 0.8264 0.8289 LO 0.8413 0.8643 0.8849 0.8438 0.8461 0.8686 0.8888 0.8485 0.8508 0.8729 0.8925 0.8531 0.8554 0.8749 0.8770 0.8577 0.8708 0.8907 0.8599 0.8790 0.8810 0.8997 0.8621 0.8830 0.9015 1.1 0.8665 1.2 1.3 14 0.8869 0.8944 0.8962 0.8980 0.9032 0.9192 0.9049 0.9066 0.9082 0.9222 0.9236 0.9099 0.9251 0.9115 0.9131 0.9265 0.9279 0.9147 0.9162 0.9306 0.9177 0.9319 0.9207 0.9292 1.5 1.6 1.7 0.9332 0.9452 0.9554 0.9345 0.9357 0.9370 0.9484 0.9495 0.9582 0.9591 0.9382 0.9394 0.9406 0.9505 0.9515 0.9608 0.9418 0.9429 0.9525 0.9535 0.9441 0.9545 0.9463 0.9564 0.9474 0.9573 0.9599 0.9664 0.9671 0.9678 0.9686 0.9616 0.9693 0.9625 0.9633 0.9706 18 0.9641 0.9649 0.9656 0.9699 1.9 0.9713 0.9719 0.9726 0.9732 0.9738 0.9744 0.9750 0.9756 0.9761 0.9767 0.9772 20 21 0.9821 2.2 0.9861 2.3 0.9893 24 0.9918 0.9793 0.9834 0.9838 0.9842 0.9875 0.9817 0.9857 0.9778 0.9783 0.9788 0.9798 0.9803 0.9846 0.9881 0.9808 0.9812 0.9854 0.9887 0.9913 0.9934 0.9826 0.9830 0.9850 0.9878 0.9906 0.9929 0.9864 0.9868 0.9871 0.9884 0.9890 0.9901 0.9916 0.9936 0.9896 0.9898 0.9904 0.9909 0.9911 0.9920 0.9922 0.9925 0.9927 0.9931 0.9932 2.5 2.6 2.7 0.9938 0.9953 0.9965 0.9952 0.9964 0.9974 0.9940 0.9941 0.9943 0.9945 0.9957 0.9959 0.9968 0.9946 0.9948 0.9960 0.9949 0.9962 0.9972 0.9951 0.9963 0.9973 0.9955 0.9956 0.9961 0.9970 0.9971 0.9978 0.9979 0.9985 0.9966 0.9967 0.9969 28 29 0.9974 0.9975 0.9976 0.9977 0.9977 0.9979 0.9980 0.9981 0.9981 0.9982 0.9982 0.9983 0.9984 0.9984 0.9985 0.9986 0.9986 3.0 3.1 3.2 0.9987 0.9990 0.9993 0.9987 0.9991 0.9993 0.9987 0.9991 0.9994 0.9988 0.9992 0.9994 0.9994 0.9994 0.9989 0.9992 0.9989 0.9992 0.9993 0.9995 0.9995 0.9995 0.9988 0.9989 0.9992 0.9994 0.9990 0.9990 0.9993 0.9991 33 34 0.9995 0.9997 0.9997 0.9995 0.9995 0.9996 0.9997 0.9996 0.9997 0.9997 0.9997 0.9997 0.9996 0.9996 0.9996 0.9996 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 -3.4 -3.3 -3.2 0.0003 0.0003 0.0003 0.0003 0.0003 0.0003 0.0003 0.0003 0.0003 0.0002 0.0004 0.0006 0.0004 0.0005 0.0007 0.0005 0.0007 0.0005 0.0006 0.0004 0.0006 0.0004 0.0004 0.0006 0.0004 0.0006 0.0005 0.0003 0.0005 0.0005 -3.1 -3.0 0.0009 0.0012 0.0010 0.0009 0.0008 0.0012 0.0009 0.0008 0.0008 0.0008 0.0007 0.0007 0.0013 0.0013 0.0013 0.0011 0.0011 0.0011 0.0010 0.0010 -29 -2.8 -27 0.0019 0.0026 0.0035 0,0018 0.0025 0.0034 0.0018 0.0024 0.0033 0.0017 0.0023 0.0032 0.0016 0.0023 0.0031 0.0016 0.0022 0.0030 0.0014 0.0020 0.0027 0.0014 0.0019 0.0026 0.0015 0.0015 0.0021 0.0021 0.0029 0.0028 -2.6 0.0047 0.0045 0.0044 0.0059 0.0040 0.0054 0.0052 0.0039 0.0038 0.0037 0.0036 0.0048 0.0043 0.0041 -2.5 0.0062 0.0060 0.0057 0.0055 0.0051 0.0049 0.0078 0.007s 0.0073 -2.4 -2.3 -2.2 0.0082 0.0107 0.0139 0.0071 0.0094 0.0091 0.0122 0.0119 0.0080 0.0069 0.0068 0.0066 0.0064 0.0104 0.0102 0.0099 0.0096 0.0089 0.0087 0.0084 0.0136 0.0132 0.0129 0.0125 0.0162 0.0207 0.0116 0.0113 0.0110 -2.1 -2.0 0.0179 0.0174 0.0170 0.0166 0.0222 0.0217 0.0158 0.0154 0.0197 0.0150 0.0146 0.0143 0.0192 0.0228 0.0212 0.0202 0.0188 0.0183 0.0287 0.0359 0.0281 0.0351 0.0268 0.0336 0.0262 0.0329 0.0256 0.0322 0.0233 0.0294 0.0367 0.0455 0.0274 -19 -1.8 -1.7 0.0344 0.0446 0.0436 0.0427 0.0418 0.0409 0.0401 0.0526 0.0250 0.0314 0.0392 0.0244 0.0239 0.0307 0.0301 0.0384 0.0375 0.0475 0.0465 -16 0.0548 0.0537 0.0516 0.0505 0.0495 0.0485 -1.5 0.0668 0.0655 0.0643 0.0630 0.0618 0.0606 0.0594 0.0582 0.0571 0.0559 0.0721 0.0869 -1.4 0.0808 0.0968 0.0793 0.0778 0.0764 0.0934 0.0918 0.1093 0.0749 0.0735 0.0708 0.0853 0.1020 0.0694 0.0681 0.0838 -1.3 -1.2 0.0951 0.0901 0.1075 0.0885 0.1056 0.1251 0.1038 0.1230 0.1210 0.1446 0.1423 0.0823 0.0985 0.1151 0.1131 0.1357 0.1335 0.1587 0.1112 0.1314 0.1292 0.1003 0.1190 0.1170 0.1401 0.1379 -1.1 0.1271 -1.0 0.1562 0.1539 0.1515 0.1492 0.1469 0.1711 -0.9 -08 -0.7 0.1841 0.2119 0.2420 0.2743 0.1814 0.1788 0.1762 0.2090 0.2061 0.2358 0.2676 0.3050 0.3015 0.2033 0.2327 0.2643 0.2981 0.1736 0.2005 0.1977 0.2296 0.2611 0.1685 0.1949 0.1922 0.2236 0.2206 0.2546 0.2514 0.1660 0.1635 0.1611 0.1894 02177 0.2483 0.2810 0.1867 0.2148 0.2451 0.2776 0.2389 0.2709 0.2266 0.2578 0.2912 0.2877 0.2843 -0.6 -0.5 0.3085 0.2946 0.3446 0.3821 0.4207 0.4602 0.3336 0.3707 0.4090 0.3156 0.3520 0.3897 0.4286 0.4681 0.5319 05714 0.6103 0.6480 0.6844 0.3409 0.3372 -04 -0.3 -0.2 -0.1 0.3264 0.3300 0.3669 0.3632 0.4052 0.4013 0.3228 0.3192 0.3594 0.3557 0.3936 0.3974 0.4364 0.3121 03483 03859 0.4247 0.3783 0.3745 0.4168 0.4129 0.4562 0.4522 0.4483 0.4443 0.4880 0.4840 0.5120 0.4325 0.4721 0.5279 0.5675 0.4404 0.4920 -0.0 0.0 0.1 0.5000 0.5000 0.5398 0.4960 0.5040 0.5438 0.5832 0.6217 0.4801 0.4761 0.5199 0.5239 0.5596 0.5636 0.4641 0.5359 0.5753 0.5080 0.5160 0.5478 0.5517 0.5557 0.2 0.3 0.4 0.5793 0.6179 0.6554 0.5910 0.6255 0.6293 0.6664 0.5987 0.6368 0.6736 0.6772 0.6026 0.6406 0.6141 0.6517 0.6879 0.5871 0.5948 0.6064 0.6443 0.6331 0.6700 0.6591 0.6628 0.6808 0.7019 0.7054 0.7357 0.7389 0.7422 0.7704 0.6950 0.6985 0.7088 0.7123 0.7454 0.7157 0.7190 0.7224 0.5 0.6 0.6915 0.7257 0.7580 0.7881 0.8159 0,7291 0.7324 0.7642 0.7673 0.7486 0.7517 0.7549 0.7 0.8 0.9 0.7611 0.7910 0.8186 0.7734 0.7764 0.8051 0.8315 0.7794 0.7823 0.8078 0.8106 0.8340 0.8365 0.7852 0.8133 0.8389 0.7939 0.7967 0.7995 0.8023 0.8212 0.8238 0.8264 0.8289 LO 0.8413 0.8643 0.8849 0.8438 0.8461 0.8686 0.8888 0.8485 0.8508 0.8729 0.8925 0.8531 0.8554 0.8749 0.8770 0.8577 0.8708 0.8907 0.8599 0.8790 0.8810 0.8997 0.8621 0.8830 0.9015 1.1 0.8665 1.2 1.3 14 0.8869 0.8944 0.8962 0.8980 0.9032 0.9192 0.9049 0.9066 0.9082 0.9222 0.9236 0.9099 0.9251 0.9115 0.9131 0.9265 0.9279 0.9147 0.9162 0.9306 0.9177 0.9319 0.9207 0.9292 1.5 1.6 1.7 0.9332 0.9452 0.9554 0.9345 0.9357 0.9370 0.9484 0.9495 0.9582 0.9591 0.9382 0.9394 0.9406 0.9505 0.9515 0.9608 0.9418 0.9429 0.9525 0.9535 0.9441 0.9545 0.9463 0.9564 0.9474 0.9573 0.9599 0.9664 0.9671 0.9678 0.9686 0.9616 0.9693 0.9625 0.9633 0.9706 18 0.9641 0.9649 0.9656 0.9699 1.9 0.9713 0.9719 0.9726 0.9732 0.9738 0.9744 0.9750 0.9756 0.9761 0.9767 0.9772 20 21 0.9821 2.2 0.9861 2.3 0.9893 24 0.9918 0.9793 0.9834 0.9838 0.9842 0.9875 0.9817 0.9857 0.9778 0.9783 0.9788 0.9798 0.9803 0.9846 0.9881 0.9808 0.9812 0.9854 0.9887 0.9913 0.9934 0.9826 0.9830 0.9850 0.9878 0.9906 0.9929 0.9864 0.9868 0.9871 0.9884 0.9890 0.9901 0.9916 0.9936 0.9896 0.9898 0.9904 0.9909 0.9911 0.9920 0.9922 0.9925 0.9927 0.9931 0.9932 2.5 2.6 2.7 0.9938 0.9953 0.9965 0.9952 0.9964 0.9974 0.9940 0.9941 0.9943 0.9945 0.9957 0.9959 0.9968 0.9946 0.9948 0.9960 0.9949 0.9962 0.9972 0.9951 0.9963 0.9973 0.9955 0.9956 0.9961 0.9970 0.9971 0.9978 0.9979 0.9985 0.9966 0.9967 0.9969 28 29 0.9974 0.9975 0.9976 0.9977 0.9977 0.9979 0.9980 0.9981 0.9981 0.9982 0.9982 0.9983 0.9984 0.9984 0.9985 0.9986 0.9986 3.0 3.1 3.2 0.9987 0.9990 0.9993 0.9987 0.9991 0.9993 0.9987 0.9991 0.9994 0.9988 0.9992 0.9994 0.9994 0.9994 0.9989 0.9992 0.9989 0.9992 0.9993 0.9995 0.9995 0.9995 0.9988 0.9989 0.9992 0.9994 0.9990 0.9990 0.9993 0.9991 33 34 0.9995 0.9997 0.9997 0.9995 0.9995 0.9996 0.9997 0.9996 0.9997 0.9997 0.9997 0.9997 0.9996 0.9996 0.9996 0.9996 0.9997 0.9997 0.9997 0.9998 00 .01 .02 .03 .04 .05 .06 .07 .08 .09
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