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.)

Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018
18th Edition
ISBN:9780079039897
Author:Carter
Publisher:Carter
Chapter10: Statistics
Section: Chapter Questions
Problem 22SGR
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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

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: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
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
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
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