The mean incubation time of fertilized eggs is 22 days Suppose the incubation times are approximately normally distributed with a standard deviation of 1 day (a) Determine the 16th 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 16th percentile for incubation times is (Round to the nearest whole number as needed.) days. (b) The incubation times that make up the middle 97% are to days (Round to the nearest whole number as needed. Use ascending order.) SITE
The mean incubation time of fertilized eggs is 22 days Suppose the incubation times are approximately normally distributed with a standard deviation of 1 day (a) Determine the 16th 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 16th percentile for incubation times is (Round to the nearest whole number as needed.) days. (b) The incubation times that make up the middle 97% are to days (Round to the nearest whole number as needed. Use ascending order.) SITE
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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Question
Solve for a and b
![The mean incubation time of fertilized eggs is 22 days. Suppose the incubation times are approximately normally distributed with a standard deviation of 1 day
(a) Determine the 16th 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 16th percentile for incubation times is
(Round to the nearest whole number as needed.)
days.
(b) The incubation times that make up the middle 97% are to days.
(Round to the nearest whole number as needed. Use ascending order.)
...](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2Fd33c39ac-0ef6-4992-b702-9a0f25bb6868%2F8544cb01-36a4-4e17-93da-fb29d55d27f9%2Ff26ybdh_processed.jpeg&w=3840&q=75)
Transcribed Image Text:The mean incubation time of fertilized eggs is 22 days. Suppose the incubation times are approximately normally distributed with a standard deviation of 1 day
(a) Determine the 16th 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 16th percentile for incubation times is
(Round to the nearest whole number as needed.)
days.
(b) The incubation times that make up the middle 97% are to days.
(Round to the nearest whole number as needed. Use ascending order.)
...
![Tables of Areas under the Normal Curve
Area
TABLE V
T
00*
01
Standard Normal Distribution
03 .04 .05
0.1841 0.1814
0.2119
.02
0.0808 0.0793 0.0778
0.0968 0.0951
0.1151 0.1131
01357 0.1335
0.1587 0.1562
0.2420 ODERO
0.2743
-0.5 0.3085
0.3446
0.0003 0.0003 0.0003 0.0003 0.0003
0.0005 0.0005 0.0005 0.0004
0.0007 0.0007 0.0006 0.0006 0.0006
0.0010 0.0009 0.0009
0.0003 0.0003 0.0003 0.0003
0.0004 0.0004 0.0004 0.0004 0.0004
0.0006 0.0006
0.0005
0.0008 0.0008
0.0007
0.0008
0.0013 0.0013 010013 03012 0.0012 0.0011 0.0011 0.0011 0.0010
.06
800000
.07
.08
0.0014
0.0019 0.0018 0.0018 0.0017 0.0016 0.0016 0.0015 0.0015 0.0014
0.0026 0.0025 0.0004 0.0023 0.0023 0.0022 0.0021 0.0021 0.0020 0.0019
0.0055 0.0034 0.0033 0.0032 0.0031 0.0030 0.0029 0.0008 0.0027 0.0026
0.0047 0.0045 0.0044 0.0043 0.0041 0.0040 0.0039 0.0038 0.0037
010062 0.0060 0.0059
0.0055 0.0054 0.0052 0.0051 0.0049
0.0032 0.0080 0.0078 0.0075 0.0073 0.0071 0.0069 0.0068 0.0066
0.0107 0.0104 0.0102 0.0099 0.0096 0.0094 0.0091 0.0089 0.0087
0.0139 0.0136 10.0132 0.0129 0.0125 0.0122 0.0119 0.0116 0.0113
0.0179 0.0174 0.0170 0.0166 0.0162 0.0158 0.0154 0.0150 0.0146
0.0228 0.0277 0.0217 0,0212 0.0207 0.0202 0.0197 0.0192 0,0183
00287 0.0081 0.0274 0,0268 0.0262 0.0256 0.0250 0.0244 0.0039
0.0359 0.0351 0.0344 10.0326 0.0329 010500 0.0314 0.0307 0.0301
0.0446 0.046 00427 0.0418 0.0409 0.0401 0.0392 0.0384
0.0548 0.0537 0.05.26 0.0516 0.0505 0.0495 0.0485 0.0475
0.0668 0.0655 0.0643 0.0630 0.0618
0.0594 0.0582 0.0571
0.0375
0.0465
0.2676
03050 03015
03409 0.3372
0.0764
0.0749 0.0735 0.0721 0.0708 0.0694
0.0918 0.0901 00S85 0.0869 0.0853 0.0838
0.1093 0.1075 0.1056 0.1038 0.1020 0.1003
0.1314 0.1292
0.1539 0.1515
0.1271 0.1251 0.1230 0.1210 0.1190
0.1492
.09
0.0002
0.0003
0.0005
0.0007
0.0010
0.0048
0.0064
0.0084
0.0110
0.0143
0.0183
0.0233
0.0294
0.0367
0.0455
0.0559
0.0681
0.0823
0.0985
0.1170
0.1446 0.1423 0.1401 0.1379
0.2061
0.1788 0.1762 0.1736 0.1711 0.1685 0.1660 01635
0.1977 0.1949 0.1925 0.1894
0.2206 0.2236 0.2206
0.2578 0.2546 0.2514 02483
0.2912 0.2877 0.2843 02810 0.2776
0.3264 0.3228 0.3192 03156 03121
02043 0.2005
0.2327 0.2296
0.2643 0.2611
0.2981 0.2946
0.3336 0.3300
0.2148
02451
0.1611
0.1867](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2Fd33c39ac-0ef6-4992-b702-9a0f25bb6868%2F8544cb01-36a4-4e17-93da-fb29d55d27f9%2F05hwbma_processed.jpeg&w=3840&q=75)
Transcribed Image Text:Tables of Areas under the Normal Curve
Area
TABLE V
T
00*
01
Standard Normal Distribution
03 .04 .05
0.1841 0.1814
0.2119
.02
0.0808 0.0793 0.0778
0.0968 0.0951
0.1151 0.1131
01357 0.1335
0.1587 0.1562
0.2420 ODERO
0.2743
-0.5 0.3085
0.3446
0.0003 0.0003 0.0003 0.0003 0.0003
0.0005 0.0005 0.0005 0.0004
0.0007 0.0007 0.0006 0.0006 0.0006
0.0010 0.0009 0.0009
0.0003 0.0003 0.0003 0.0003
0.0004 0.0004 0.0004 0.0004 0.0004
0.0006 0.0006
0.0005
0.0008 0.0008
0.0007
0.0008
0.0013 0.0013 010013 03012 0.0012 0.0011 0.0011 0.0011 0.0010
.06
800000
.07
.08
0.0014
0.0019 0.0018 0.0018 0.0017 0.0016 0.0016 0.0015 0.0015 0.0014
0.0026 0.0025 0.0004 0.0023 0.0023 0.0022 0.0021 0.0021 0.0020 0.0019
0.0055 0.0034 0.0033 0.0032 0.0031 0.0030 0.0029 0.0008 0.0027 0.0026
0.0047 0.0045 0.0044 0.0043 0.0041 0.0040 0.0039 0.0038 0.0037
010062 0.0060 0.0059
0.0055 0.0054 0.0052 0.0051 0.0049
0.0032 0.0080 0.0078 0.0075 0.0073 0.0071 0.0069 0.0068 0.0066
0.0107 0.0104 0.0102 0.0099 0.0096 0.0094 0.0091 0.0089 0.0087
0.0139 0.0136 10.0132 0.0129 0.0125 0.0122 0.0119 0.0116 0.0113
0.0179 0.0174 0.0170 0.0166 0.0162 0.0158 0.0154 0.0150 0.0146
0.0228 0.0277 0.0217 0,0212 0.0207 0.0202 0.0197 0.0192 0,0183
00287 0.0081 0.0274 0,0268 0.0262 0.0256 0.0250 0.0244 0.0039
0.0359 0.0351 0.0344 10.0326 0.0329 010500 0.0314 0.0307 0.0301
0.0446 0.046 00427 0.0418 0.0409 0.0401 0.0392 0.0384
0.0548 0.0537 0.05.26 0.0516 0.0505 0.0495 0.0485 0.0475
0.0668 0.0655 0.0643 0.0630 0.0618
0.0594 0.0582 0.0571
0.0375
0.0465
0.2676
03050 03015
03409 0.3372
0.0764
0.0749 0.0735 0.0721 0.0708 0.0694
0.0918 0.0901 00S85 0.0869 0.0853 0.0838
0.1093 0.1075 0.1056 0.1038 0.1020 0.1003
0.1314 0.1292
0.1539 0.1515
0.1271 0.1251 0.1230 0.1210 0.1190
0.1492
.09
0.0002
0.0003
0.0005
0.0007
0.0010
0.0048
0.0064
0.0084
0.0110
0.0143
0.0183
0.0233
0.0294
0.0367
0.0455
0.0559
0.0681
0.0823
0.0985
0.1170
0.1446 0.1423 0.1401 0.1379
0.2061
0.1788 0.1762 0.1736 0.1711 0.1685 0.1660 01635
0.1977 0.1949 0.1925 0.1894
0.2206 0.2236 0.2206
0.2578 0.2546 0.2514 02483
0.2912 0.2877 0.2843 02810 0.2776
0.3264 0.3228 0.3192 03156 03121
02043 0.2005
0.2327 0.2296
0.2643 0.2611
0.2981 0.2946
0.3336 0.3300
0.2148
02451
0.1611
0.1867
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