The mean incubation time of fertilized eggs is 21 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 97%. Click the icon to view a table of areas under the normal curve (a) The 20th percentile for incubation times is days. (Round to the nearest whole number as needed.).

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Solve for a) and b)

The mean incubation time of fertilized eggs is 21 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 97%.
Click the icon to view a table of areas under the normal curve
(a) The 20th percentile for incubation times is
(Round to the nearest whole number as needed.)
days.
...
Transcribed Image Text:The mean incubation time of fertilized eggs is 21 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 97%. Click the icon to view a table of areas under the normal curve (a) The 20th percentile for incubation times is (Round to the nearest whole number as needed.) days. ...
Tables of Areas under the Normal Curve
0
Arca
C
2
TABLE V
-3.0
00
-16
-1.5
.06
.07
.08
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 0.0007 0.0006 0.0006 0.0006 0.0006 0.0006 0.0005 0.0005 0.0005
0.0010 0.0009 0.0009 0.0009 0.0008 0.0008 0.0008 0.0008 0.0007
0.0007
0.0013 0.0013 0.0013 0.0012 0.0012 0.0011 0.0011 0.0011 0.0010 0.0010
0.0019
0.0014
0.0026 0.0025 0.0024 00023 0.0023
0.0019
0.0035 0.0034 0.0033 0.0032 0.0031
0.0026
0.0047 0.0045 0.0044 0.0043
0.0036
0.0018 0.0018 0.0017 00016 00016 0.0015 0,0015 0.0014
0.0022 0.0021 0.0021 0.0020
0.0030 0.0029 0.0028 0.0027
0.0041 0.0040 0.0039 0.0038 0.0037
0.0049
0.0067 0.0060 0.0059 0.0057 0.0055
0.0055 0.0054 0.0052 0.0051
0.0048
Standard Normal Distribution
.02 .03
.05
.01
10.0071 0.0069 0.0068 0.0066
0.0094 0.0091 0.0089 0.0087
0.0122 00119 0.0116
0.0158 0.0154 0.0156 0.011
0.0143
0.0174 0.0170 0.0166 0.016
0.0222 0.0217 0,0212 DJ1207 0.0202 0.0197 0.0192 0.0188
0.0183
0.0082 0.0080 0.0078 0.0075 0.0073
0.0107 0.0104 0.0102 0.0099 0.0096
0.0139 0.0136 0.0132 0.0129
0.0179
0.0228
<-1.9
0.0287
<-1.8 0.0359 0.0351 0.0344
0.0336 0.0329 0.0300 00314 0.0307 0.0301 0.0294
0.0446 0.0436 0.0427 00418 0.0409 0.0401 0.0392 0.0384 0.0375
0.0367
0.0548 0.0537 0.0526 0.0516 0.0505 0.0495 0.0485 0.0475 0.0465 0.0455
0.0668 10.0655 0.0643 0.0630 0.0618
0.0231 00274 0.0263 0.0262 00256 0025 0.0244 0.0239 0.02
0606 0.05594 0:0582 00571 0.05
0.0808 0.0793 0.0778 0.0764
0.0749 0.0735 0.0721 0.0708 0.0694 0.0681
0.0968 0.0951 0.0934 0.0918 0.0901 0.0835 0.0369 0.0853 0.0838 0.0823
0.1151 0.1131 0.1112 0.1093 D.1075 0.1056 0.1038 0.1020 0.1003 0.0985
0.1357 0.1.335 0.1314 0.1292 0.1271 0.1251 01230 0.1210 0.1190 0.1170
0.1587 0.1562 0.1539
0.1423 0.1401 0.1379
1515 0.1492 01469 0.1446 0163
0.1660 0.1635 0.1611
0.1762 0.1736 0.1711 0.1685
02033 10 2005 0.1977 0.1949 0.1922 0.1894 0.1867
09
-1.2
-1.1
<-1.0
-0.9 0.1841 01814 0.1788
-0.8 0.2119 0.2090 0.2061
0.0064
0.0084
0.0110
M
X
Transcribed Image Text:Tables of Areas under the Normal Curve 0 Arca C 2 TABLE V -3.0 00 -16 -1.5 .06 .07 .08 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 0.0007 0.0006 0.0006 0.0006 0.0006 0.0006 0.0005 0.0005 0.0005 0.0010 0.0009 0.0009 0.0009 0.0008 0.0008 0.0008 0.0008 0.0007 0.0007 0.0013 0.0013 0.0013 0.0012 0.0012 0.0011 0.0011 0.0011 0.0010 0.0010 0.0019 0.0014 0.0026 0.0025 0.0024 00023 0.0023 0.0019 0.0035 0.0034 0.0033 0.0032 0.0031 0.0026 0.0047 0.0045 0.0044 0.0043 0.0036 0.0018 0.0018 0.0017 00016 00016 0.0015 0,0015 0.0014 0.0022 0.0021 0.0021 0.0020 0.0030 0.0029 0.0028 0.0027 0.0041 0.0040 0.0039 0.0038 0.0037 0.0049 0.0067 0.0060 0.0059 0.0057 0.0055 0.0055 0.0054 0.0052 0.0051 0.0048 Standard Normal Distribution .02 .03 .05 .01 10.0071 0.0069 0.0068 0.0066 0.0094 0.0091 0.0089 0.0087 0.0122 00119 0.0116 0.0158 0.0154 0.0156 0.011 0.0143 0.0174 0.0170 0.0166 0.016 0.0222 0.0217 0,0212 DJ1207 0.0202 0.0197 0.0192 0.0188 0.0183 0.0082 0.0080 0.0078 0.0075 0.0073 0.0107 0.0104 0.0102 0.0099 0.0096 0.0139 0.0136 0.0132 0.0129 0.0179 0.0228 <-1.9 0.0287 <-1.8 0.0359 0.0351 0.0344 0.0336 0.0329 0.0300 00314 0.0307 0.0301 0.0294 0.0446 0.0436 0.0427 00418 0.0409 0.0401 0.0392 0.0384 0.0375 0.0367 0.0548 0.0537 0.0526 0.0516 0.0505 0.0495 0.0485 0.0475 0.0465 0.0455 0.0668 10.0655 0.0643 0.0630 0.0618 0.0231 00274 0.0263 0.0262 00256 0025 0.0244 0.0239 0.02 0606 0.05594 0:0582 00571 0.05 0.0808 0.0793 0.0778 0.0764 0.0749 0.0735 0.0721 0.0708 0.0694 0.0681 0.0968 0.0951 0.0934 0.0918 0.0901 0.0835 0.0369 0.0853 0.0838 0.0823 0.1151 0.1131 0.1112 0.1093 D.1075 0.1056 0.1038 0.1020 0.1003 0.0985 0.1357 0.1.335 0.1314 0.1292 0.1271 0.1251 01230 0.1210 0.1190 0.1170 0.1587 0.1562 0.1539 0.1423 0.1401 0.1379 1515 0.1492 01469 0.1446 0163 0.1660 0.1635 0.1611 0.1762 0.1736 0.1711 0.1685 02033 10 2005 0.1977 0.1949 0.1922 0.1894 0.1867 09 -1.2 -1.1 <-1.0 -0.9 0.1841 01814 0.1788 -0.8 0.2119 0.2090 0.2061 0.0064 0.0084 0.0110 M X
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