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. Determine the 10th percentile for incubation times. Click the icon to view a table of areas under the normal curve. The 10th percentile for incubation times is days. (Round to the nearest whole number as needed.)
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. Determine the 10th percentile for incubation times. Click the icon to view a table of areas under the normal curve. The 10th percentile for incubation times is days. (Round to the nearest whole number as needed.)
MATLAB: An Introduction with Applications
6th Edition
ISBN:9781119256830
Author:Amos Gilat
Publisher:Amos Gilat
Chapter1: Starting With Matlab
Section: Chapter Questions
Problem 1P
Related questions
Question
I do not entirely understand what it means to find the s-score for an area of 0.1 (for the 10th percentile). I know I need to look at the z-score table but I always seem to get the answer wrong- please help.
Thank you
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. Determine the 10th percentile for incubation times.
Click the icon to view a table of areas under the normal curve.
The 10th percentile for incubation times is days.
(Round to the nearest whole number as needed.)
C
Transcribed Image Text:Standard Normal Distribution
Z
negative 0.0
0.07
0.08
0.09
-3.4
0.0002
0.0004 0.0004
0.0003
0.0003
-3.3 0.0005 0.0005
-3.2 0.0007 0.0007
0.001
0.03
0.04
0.05
0.06
0.0003 0.0003 0.0003 0.0003 0.0003 0.0003
0.0005 0.0004 0.0004 0.0004
0.0006 0.0006 0.0006 0.0006
0.0009 0.0009 0.0008 0.0008
0.0013
0.0004
0.0006 0.0005 0.0005
0.0005
-3.1
0.0009
0.0007
0.0007
-3 0.0013
0.001
0.001
0.0012 0.0012
0.0017 0.0016
0.0014
0.0008 0.0008
0.0011
0.0015 0.0014
0.0021 0.002
0.0028 0.0027
0.0013
-2.9 0.0019 0.0018 0.0018
-2.8 0.0026 0.0025 0.0024
-2.7 0.0035 0.0034 0.0033
-2.6 0.0047 0.0045 0.0044
-2.5 0.0062 0.006 0.0059 0.0057
0.0078 0.0075
0.0019
0.0011 0.0011
0.0016 0.0015
0.0022 0.0021
0.003 0.0029
0.004 0.0039 0.0038 0.0037
0.0055 0.0054
0.0073
0.0023 0.0023
0.0032 0.0031
0.0043 0.0041
0.0026
0.0036
0.0052 0.0051 0.0049
0.0048
-2.4 0.0082
0.008
0.0064
-2.3 0.0107 0.0104
0.0102
0.0099
0.0096
0.0084
-2.2 0.0139
0.0136
0.0132
0.0129
0.0125
0.017
0.0166
0.0162
0.011
0.0143
0.0183
0.0217
0.0212
0.0207
0.0262 0.0256
0.0274
0.0268
0.0233
-2.1 0.0179 0.0174
-2 0.0228 0.0222
-1.9 0.0287 0.0281
-1.8 0.0359 0.0351
-1.7 0.0446 0.0436
-1.6 0.0548 0.0537 0.0526
0.0344
0.0336
0.0329
0.0322
0.0294
0.0427
0.0418
0.0409
0.0401
0.0367
0.0516
0.0071 0.0069 0.0068 0.0066
0.0094 0.0091 0.0089 0.0087
0.0122 0.0119 0.0116 0.0113
0.0158 0.0154 0.015 0.0146
0.0202 0.0197 0.0192 0.0188
0.025 0.0244 0.0239
0.0314 0.0307 0.0301
0.0392 0.0384 0.0375
0.0495 0.0485 0.0475 0.0465 0.0455
0.0618 0.0606 0.0594 0.0582 0.0571 0.0559
0.0749 0.0735 0.0721 0.0708 0.0694 0.0681
0.0901 0.0885 0.0869 0.0853 0.0838 0.0823
0.1075 0.1056 0.1038 0.102 0.1003 0.0985
0.123 0.121 0.119 0.117
0.1446 0.1423 0.1401 0.1379
0.1685 0.166 0.1635
0.1949 0.1922 0.1894
0.0505
-1.5 0.0668 0.0655
0.0643
0.063
-1.4 0.0808
0.0793
0.0778
-1.3 0.0968 0.0951
0.0934
0.1112
-1.2| 0.1151
-1.1 0.1357
0.1611
0.1131
0.1335 0.1314
-1 0.1587 0.1562 0.1539
-0.9 0.1841 0.1814 0.1788
-0.8 0.2119 0.209 0.2061
-0.7 0.242 0.2389 0.2358
-0.6 0.2743 0.2709 0.2676
-0.5 0.3085 0.305 0.3015
0.1867
0.2148
0.0764
0.0918
0.1093
0.1292 0.1271 0.1251
0.1515 0.1492 0.1469
0.1762 0.1736 0.1711
0.2033
0.2005 0.1977
0.2327 0.2296 0.2266 0.2236 0.2206 0.2177
0.2643 0.2611 0.2578 0.2546 0.2514 0.2483 0.2451
0.2981 0.2946 0.2912 0.2877 0.2843 0.281 0.2776
0.3336 0.33 0.3264 0.3228 0.3192 0.3156
0.3707 0.3669 0.3632 0.3594 0.3557 0.352
0.409 0.4052 0.4013 0.3974 0.3936 0.3897 0.3859
0.4483 0.4443 0.4404 0.4364 0.4325 0.4286 0.4247
0.484 0.4801 0.4761 0.4721 0.4681 0.4641
0.516 0.5199 0.5239 0.5279 0.5319 0.5359
0.5557 0.5596 0.5636 0.5675 0.5714 0.5753
0.6026 0.6064 0.6103 0.6141
-0.4 0.3446 0.3409
0.3121
0.3483
0.3372
-0.3 0.3821 0.3783 0.3745
-0.2 0.4207 0.4168 0.4129
-0.1 0.4602 0.4562 0.4522
0.5
0.496
0.492
0.488
0.5
0.504
0.508
0.512
0.5398
0.5438
0.5478
0.5517
0.5793 0.5832
0.5871
0.591 0.5948 0.5987
0
0.1
0.2
0
0.01
0.02
0.0003 0.0003
Expert Solution
Step 1
The mean is 19 and standard deviation is 1.
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Follow-up Questions
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Follow-up Question
Can you explain how 0.1003 was obtained? because I do not understand how to locate 0.10 on the table
Solution
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