The mean incubation time of fertilized eggs is 23 days. Suppose the incubation times are approximately normally distributed with a standard deviation of 1 day. (a) Determine the 17th 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 17th percentile for incubation times is 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.)

Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter1: Fundamental Concepts Of Algebra
Section1.4: Fractional Expressions
Problem 66E
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The mean incubation time of fertilized eggs is 23 days. Suppose the incubation times are approximately normally distributed with a standard deviation of 1 day.
(a) Determine the 17th 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 17th percentile for incubation times is
(Round to the nearest whole number as needed.)
days.
(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 23 days. Suppose the incubation times are approximately normally distributed with a standard deviation of 1 day. (a) Determine the 17th 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 17th percentile for incubation times is (Round to the nearest whole number as needed.) days. (b) The incubation times that make up the middle 95% are to days. (Round to the nearest whole number as needed. Use ascending order.)
7/8/22, 3:04 PM
Area
z
TABLE V
z
78877 99737 77238 23927 328797 97979 777738=283 09898 30003 99999 33233 38539 22
-3.4
-2.5
-0.5
0.0010
0.0013
.00
.01
.02
.06
.07 .08 .09
0.0007
0.0003 0.0003 0.0003 0.0003 0.0003 0.0003 0.0003 0.0003 0.0003 0.0002
0.0005 0.0005 0.0005 0.0004 0.0004 0.0004 0.0004 0.0004 0.0004 0.0003
0.0007 0.0006 0.0006 0.0006 0.0006 0.0006 0.0005 0.0005 0.0005
0.0009 0.0009 0.0009 0.0008 0.0008 0.0008 0.0008 0.0007 0.0007
0.0013 0.0013 0.0012 0.0012 0.0011 0.0011 0.0011 0.0010 0.0010
0.0019 0.0018 0.0018 0.0017 0.0016 0.0016 0.0015 0.0015 0.0014 0.0014
0.0026 0.0025 0.0024 0.0023 0.0023 0.0022 0.0021 0.0021 0.0020 0.0019
0.0035 0.0034 0.0033 0.0032 0.0031
0.0030 0.0029 0.0028 0.0027 0.0026
0.0047 0.0045 0.0044 0.0043 0.0041 0.0040 0.0039 0.0038 0.0037 0.0036
0.0062 0.0060 0.0059 0.0057 0.0055 0.0054 0.0052 0.0051 0.0049 0.0048
0.0082 0.0080 0.0078 0.0075 0.0073 0.0071 0.0069 0.0068 0.0066 0.0064
0.0107 0.0104 0.0102 0.0099 0.0096 0.0094 0.0091 0.0089 0.0087 0.0084
0.0139 0.0136 0.0132 0.0129 0.0125 0.0122 0.0119 0.0116 0.0113 0.0110
0.0179 0.0174 0.0170 0.0166 0.0162 0.0158 0.0154 0.0150 0.0146 0.0143
0.0228 0.0222 0.0217 0.0212 0.0207 0.0202 0.0197 0.0192 0.0188
0.0188 0.0183
0.0274 0.0268 0.0262 0.0256 0.0250 0.0244 0.0239 0.0233
0.0344 0.0336 0.0329 0.0322 0.0314 0.0307 0.0301 0.0294
0.0427 0.0418 0.0409 0.0401
0.0392 0.0384 0.0375 0.0367
0.0526 0.0516 0.0505 0.0495 0.0485 0.0475 0.0465 0.0455
0.0643 0.0630 0.0618 0.0606 0.0594 0.0582 0.0571 0.0559
0.0778 0.0764 0.0749 0.0735 0.0721 0.0708 0.0694 0.0681
0.0934 0.0918 0.0901 0.0885 0,0869 0.0853 0.0838 0.0823
0.1112 0.1093 0.1075 0.1056 0.1038 0.1020 0.1003 0.0985
0.1314 0.1292 0.1271 0.1251 0.1230 0.1210 0.1190 0.1170
0.1539 0.1515 0.1492 0.1469 0.1446 0.1423 0.1401 0.1379
0.1788 0.1762 0.1736 0.1711 0.1685 0.1660 0.1635 0.1611
0.2061 0.2033 0.2005 0.1977 0.1949 0.1922 0.1894 0.1867
0.2358 0.2327 0.2296 0.2266 0.2236 0.2206 0.2177 0.2148
0.2676 0.2643 0.2611 0.2578 0.2546 0.2514 0.2483 0.2451
0.3015 0.2981 0.2946 0.2912 0.2877 0.2843 0.2810 0.2776
0.3372 0.3336 0.3300 0.3264 0.3228 0.3192 0.3156 0.3121
03745 0.3707 0.3669 0.3632 0.3594 0.3557 0.3520 0.3483
0.4129 0.4090 0.4052 0.4013 0.3974 0.3936 0.3897 0.3859
0.4522 0.4483 0.4443 0.4404 0.4364 0.4325 0.4286 0.4247
0.4920 0.4880 0.4840 0.4801 0.4761 0.4721 0.4681 0.4641
0.5080 0.5120 0.5160 0.5199 0.5239 0.5279 0.5319 0.5359
0.5478 0.5517 0.5557 0.5596 0.5636 0.5675 05714 0.5753
0.5871 0.5910 0.5948 0.5987 0.6026 0.6064 0.6103 0.6141
0.6255 0.6293 0.6331 0.6368 0.6406 0.6443 0.6480 0.6517
0.6628 0.6664 0.6700 0.6736 0.6772 0.6808 0.6844 0.6879
0.6985 0.7019 0.7054 0.7088 0.7123 0.7157 0.7190 0.7224
0.7324 0.7357 0.7389 0.7422 0.7454 0.7486 0.7517 0.7549
0.7642 0.7673 0.7704 0.7734 0.7764 0.7794 0.7823 0.7852
0.7939 0.7967 0.7995 0.8023 0.8051 0.8078 0.8106 0.8133
0.8212 0.8238 0.8264 0.8289 0.8315 0.8340 0.8365 0.8389
0.8461 0.8485 0.8508 0.8531 0.8554 0.8577 0.8599 0,8621
0.8686 0.8708 0.8729 0.8749 0.8770 0.8790 0.8810 0.8830
0.8888 0.8907 0.8925 0.8944 0.8962 0.8980 0.8997 0.9015
0.9066 0.9082 0.9099 0.9115 0.9131 0.9147 0.9162 0.9177
0.9222 0.9236 0.9251 0.9265 0.9279 0.9292 0.9306 0.9319
0.9357 0.9370 0.9382 0.9394 0.9406 0.9418 0.9429 0.9441
0.9474 0.9484 0.9495 0.9505 0.9515 0.9525 0.9535 0.9545
0.9554 0.9564 0.9573 0.9582 0.9591 0.9599 0.9608 0.9616 0.9625 0.9633
0.9641 0.9649 0.9656 0.9664 0.9671 0.9678 0.9686 0.9693 0.9699 0.9706
0.9726 0.9732 0.9738 0.9744 0.9750 0.9756 0.9761 0.9767
0.9783 0.9788 0.9793 0.9798 0.9803 0.9808 0.9812 0.9817
0.9830 0.9834 0.9838 0.9842 0.9846 0.9850 0.9854 0.9857
0.9868 0.9871 0.9875 0.9878 0.9881 0.9884 0.9887 0.9890
0.9901 0.9904 0.9906 0.9909 0.9911 0.9913 0.9916
0.9922 0.9925 0.9927 0.9929 0.9931 0.9932 0.9934 0.9936
0.9941 0.9943 0.9945 0.9946 0.9948 0.9949 0.9951 0.9952
0.9956 0.9957 0.9959 0.9960 0.9961 0.9962 0.9963 0.9964
0.9967 0.9968 0.9969 0.9970 0.9971 0.9972 0.9973 0.9974
0.9976 0.9977 0.9977 0.9978 0.9979 0.9979 0.9980 0.9981
0.9982 0.9983 0.9984 0.9984
0.9984 0.9985 0.9985 0.9986 0.9986
0.9987 0.9988 0.9988 0.9989 0.9989 0.9989 0.9990 0.9990
0.9991 0.9991 0.9992 0.9992 0.9992 0.9992 0.9993 0.9993
0.9332 0.9345
0.9452 0.9463
0.9713 0.9719
0.9772 0.9778
0.9821 0.9826
0.9861 0.9864
0.9893 0.9896 0.9898
0.9918 0.9920
0.0287 0.0281
0.0359 0.0351
0.0446 0.0436
0.0548 0.0537
0.0668 0.0655
0.0808 0.0793
0.0968 0.0951
0.1151 0.1131
0.1357 0.1335
0.1587 0.1562
0.1841 0.1814
0.2119 0.2090
0.2420 0.2389
0.2743 0.2709
0.3085 0.3050
0.3446 0.3409
0.3821 0.3783
0.4207 0.4168
0.4602 0.4562
0.5000 0.4960
0.5000 0.5040
0.5398 0.5438
0.5793 0.5832
0.6179 0.6217
0.6554 0.6591
0.6915 0.6950
0.7257 0.7291
0.7580 0.7611
0.7881 0.7910
0.8159 0.8186
0.8413 0.8438
0.8643 0.8665
0.8849 0.8869
0.9032 0.9049
0.9192 0.9207
0.9938 0.9940
0.9953 0.9955
0.9965 0.9966
0.9974 0.9975
0.9981 0.9982
Tables of Areas under the Normal Curve
0.9987 0.9987
0.9990 0.9991
Standard Normal Distribution
.03 .04 .05
Transcribed Image Text:7/8/22, 3:04 PM Area z TABLE V z 78877 99737 77238 23927 328797 97979 777738=283 09898 30003 99999 33233 38539 22 -3.4 -2.5 -0.5 0.0010 0.0013 .00 .01 .02 .06 .07 .08 .09 0.0007 0.0003 0.0003 0.0003 0.0003 0.0003 0.0003 0.0003 0.0003 0.0003 0.0002 0.0005 0.0005 0.0005 0.0004 0.0004 0.0004 0.0004 0.0004 0.0004 0.0003 0.0007 0.0006 0.0006 0.0006 0.0006 0.0006 0.0005 0.0005 0.0005 0.0009 0.0009 0.0009 0.0008 0.0008 0.0008 0.0008 0.0007 0.0007 0.0013 0.0013 0.0012 0.0012 0.0011 0.0011 0.0011 0.0010 0.0010 0.0019 0.0018 0.0018 0.0017 0.0016 0.0016 0.0015 0.0015 0.0014 0.0014 0.0026 0.0025 0.0024 0.0023 0.0023 0.0022 0.0021 0.0021 0.0020 0.0019 0.0035 0.0034 0.0033 0.0032 0.0031 0.0030 0.0029 0.0028 0.0027 0.0026 0.0047 0.0045 0.0044 0.0043 0.0041 0.0040 0.0039 0.0038 0.0037 0.0036 0.0062 0.0060 0.0059 0.0057 0.0055 0.0054 0.0052 0.0051 0.0049 0.0048 0.0082 0.0080 0.0078 0.0075 0.0073 0.0071 0.0069 0.0068 0.0066 0.0064 0.0107 0.0104 0.0102 0.0099 0.0096 0.0094 0.0091 0.0089 0.0087 0.0084 0.0139 0.0136 0.0132 0.0129 0.0125 0.0122 0.0119 0.0116 0.0113 0.0110 0.0179 0.0174 0.0170 0.0166 0.0162 0.0158 0.0154 0.0150 0.0146 0.0143 0.0228 0.0222 0.0217 0.0212 0.0207 0.0202 0.0197 0.0192 0.0188 0.0188 0.0183 0.0274 0.0268 0.0262 0.0256 0.0250 0.0244 0.0239 0.0233 0.0344 0.0336 0.0329 0.0322 0.0314 0.0307 0.0301 0.0294 0.0427 0.0418 0.0409 0.0401 0.0392 0.0384 0.0375 0.0367 0.0526 0.0516 0.0505 0.0495 0.0485 0.0475 0.0465 0.0455 0.0643 0.0630 0.0618 0.0606 0.0594 0.0582 0.0571 0.0559 0.0778 0.0764 0.0749 0.0735 0.0721 0.0708 0.0694 0.0681 0.0934 0.0918 0.0901 0.0885 0,0869 0.0853 0.0838 0.0823 0.1112 0.1093 0.1075 0.1056 0.1038 0.1020 0.1003 0.0985 0.1314 0.1292 0.1271 0.1251 0.1230 0.1210 0.1190 0.1170 0.1539 0.1515 0.1492 0.1469 0.1446 0.1423 0.1401 0.1379 0.1788 0.1762 0.1736 0.1711 0.1685 0.1660 0.1635 0.1611 0.2061 0.2033 0.2005 0.1977 0.1949 0.1922 0.1894 0.1867 0.2358 0.2327 0.2296 0.2266 0.2236 0.2206 0.2177 0.2148 0.2676 0.2643 0.2611 0.2578 0.2546 0.2514 0.2483 0.2451 0.3015 0.2981 0.2946 0.2912 0.2877 0.2843 0.2810 0.2776 0.3372 0.3336 0.3300 0.3264 0.3228 0.3192 0.3156 0.3121 03745 0.3707 0.3669 0.3632 0.3594 0.3557 0.3520 0.3483 0.4129 0.4090 0.4052 0.4013 0.3974 0.3936 0.3897 0.3859 0.4522 0.4483 0.4443 0.4404 0.4364 0.4325 0.4286 0.4247 0.4920 0.4880 0.4840 0.4801 0.4761 0.4721 0.4681 0.4641 0.5080 0.5120 0.5160 0.5199 0.5239 0.5279 0.5319 0.5359 0.5478 0.5517 0.5557 0.5596 0.5636 0.5675 05714 0.5753 0.5871 0.5910 0.5948 0.5987 0.6026 0.6064 0.6103 0.6141 0.6255 0.6293 0.6331 0.6368 0.6406 0.6443 0.6480 0.6517 0.6628 0.6664 0.6700 0.6736 0.6772 0.6808 0.6844 0.6879 0.6985 0.7019 0.7054 0.7088 0.7123 0.7157 0.7190 0.7224 0.7324 0.7357 0.7389 0.7422 0.7454 0.7486 0.7517 0.7549 0.7642 0.7673 0.7704 0.7734 0.7764 0.7794 0.7823 0.7852 0.7939 0.7967 0.7995 0.8023 0.8051 0.8078 0.8106 0.8133 0.8212 0.8238 0.8264 0.8289 0.8315 0.8340 0.8365 0.8389 0.8461 0.8485 0.8508 0.8531 0.8554 0.8577 0.8599 0,8621 0.8686 0.8708 0.8729 0.8749 0.8770 0.8790 0.8810 0.8830 0.8888 0.8907 0.8925 0.8944 0.8962 0.8980 0.8997 0.9015 0.9066 0.9082 0.9099 0.9115 0.9131 0.9147 0.9162 0.9177 0.9222 0.9236 0.9251 0.9265 0.9279 0.9292 0.9306 0.9319 0.9357 0.9370 0.9382 0.9394 0.9406 0.9418 0.9429 0.9441 0.9474 0.9484 0.9495 0.9505 0.9515 0.9525 0.9535 0.9545 0.9554 0.9564 0.9573 0.9582 0.9591 0.9599 0.9608 0.9616 0.9625 0.9633 0.9641 0.9649 0.9656 0.9664 0.9671 0.9678 0.9686 0.9693 0.9699 0.9706 0.9726 0.9732 0.9738 0.9744 0.9750 0.9756 0.9761 0.9767 0.9783 0.9788 0.9793 0.9798 0.9803 0.9808 0.9812 0.9817 0.9830 0.9834 0.9838 0.9842 0.9846 0.9850 0.9854 0.9857 0.9868 0.9871 0.9875 0.9878 0.9881 0.9884 0.9887 0.9890 0.9901 0.9904 0.9906 0.9909 0.9911 0.9913 0.9916 0.9922 0.9925 0.9927 0.9929 0.9931 0.9932 0.9934 0.9936 0.9941 0.9943 0.9945 0.9946 0.9948 0.9949 0.9951 0.9952 0.9956 0.9957 0.9959 0.9960 0.9961 0.9962 0.9963 0.9964 0.9967 0.9968 0.9969 0.9970 0.9971 0.9972 0.9973 0.9974 0.9976 0.9977 0.9977 0.9978 0.9979 0.9979 0.9980 0.9981 0.9982 0.9983 0.9984 0.9984 0.9984 0.9985 0.9985 0.9986 0.9986 0.9987 0.9988 0.9988 0.9989 0.9989 0.9989 0.9990 0.9990 0.9991 0.9991 0.9992 0.9992 0.9992 0.9992 0.9993 0.9993 0.9332 0.9345 0.9452 0.9463 0.9713 0.9719 0.9772 0.9778 0.9821 0.9826 0.9861 0.9864 0.9893 0.9896 0.9898 0.9918 0.9920 0.0287 0.0281 0.0359 0.0351 0.0446 0.0436 0.0548 0.0537 0.0668 0.0655 0.0808 0.0793 0.0968 0.0951 0.1151 0.1131 0.1357 0.1335 0.1587 0.1562 0.1841 0.1814 0.2119 0.2090 0.2420 0.2389 0.2743 0.2709 0.3085 0.3050 0.3446 0.3409 0.3821 0.3783 0.4207 0.4168 0.4602 0.4562 0.5000 0.4960 0.5000 0.5040 0.5398 0.5438 0.5793 0.5832 0.6179 0.6217 0.6554 0.6591 0.6915 0.6950 0.7257 0.7291 0.7580 0.7611 0.7881 0.7910 0.8159 0.8186 0.8413 0.8438 0.8643 0.8665 0.8849 0.8869 0.9032 0.9049 0.9192 0.9207 0.9938 0.9940 0.9953 0.9955 0.9965 0.9966 0.9974 0.9975 0.9981 0.9982 Tables of Areas under the Normal Curve 0.9987 0.9987 0.9990 0.9991 Standard Normal Distribution .03 .04 .05
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