Standard Normal Table (Page 2) Z POSITIVE Z Scores Standard Normal (z) Distribution: Cumulative Area from the LEFT N .00 .01 .02 .03 .04 .05 .06 .07 .08 .09 0.0 5000 .5040 .5080 5120 .5160 5199 .5239 5279 .5319 .5359 0.1 .5398 .5438 .5478 .5517 .5557 .5596 .5636 .5675 5714 5753 0.2 5793 .5832 .5871 5910 .5948 .5987 .6026 .6064 .6103 .6141 0.3 .6179 .6217 .6255 .6293 .6331 .6368 .6406 .6443 6480 .6517 0.4 .6554 .6591 .6628 .6664 .6700 .6736 .6772 .6808 .6844 .6879 0,5 6915 6950 .6985 .7019 .7054 .7088 .7123 7157 .7190 .7224 0.6 .7257 .7291 .7324 .7357 .7389 .7422 .7454 .7486 .7517 .7549 0.7 .7580 .7611 .7642 .7673 .7704 .7734 .7764 .7794 .7823 .7852 0.8 .7881 7910 .7939 .7967 .7995 .8023 .8051 .8078 8106 .8133 0.9 8159 .8186 .8212 .8238 .8264 .8289 .8315 .8340 .8365 .8389 1.0 .8413 8438 .8461 .8485 .8508 .8531 .8554 .8577 .8599 .8621 Standard Normal Table (Page 1) NEGATIVE z Scores Standard Normal (z) Distribution: Cumulative Area from the LEFT Z .00 .01 .02 .03 .04 .05 .06 .07 .08 .09 -3.50 and lower 0001 -3.4 .0003 .0003 .0003 .0003 .0003 .0003 0003 .0003 .0003 .0002 -3.3 .0005 .0005 .0005 .0004 .0004 .0004 .0004 .0004 .0004 .0003 -3.2 .0007 .0007 0006 0006 .0006 .0006 .0006 .0005 .0005 0005 -3.1 .0010 0009 .0009 .0009 .0008 .0008 0008 .0008 .0007 .0007 -3.0 .0013 .0013 0013 .0012 .0012 .0011 .0011 .0011 0010 0010 -2.9 .0019 .0018 .0018 .0017 .0016 .0016 0015 .0015 .0014 .0014 -2.8 .0026 .0025 .0024 .0023 .0023 .0022 .0021 .0021 .0020 .0019 -2.7 .0035 0034 .0033 .0032 .0031 .0030 0029 .0028 .0027 .0026
Standard Normal Table (Page 2) Z POSITIVE Z Scores Standard Normal (z) Distribution: Cumulative Area from the LEFT N .00 .01 .02 .03 .04 .05 .06 .07 .08 .09 0.0 5000 .5040 .5080 5120 .5160 5199 .5239 5279 .5319 .5359 0.1 .5398 .5438 .5478 .5517 .5557 .5596 .5636 .5675 5714 5753 0.2 5793 .5832 .5871 5910 .5948 .5987 .6026 .6064 .6103 .6141 0.3 .6179 .6217 .6255 .6293 .6331 .6368 .6406 .6443 6480 .6517 0.4 .6554 .6591 .6628 .6664 .6700 .6736 .6772 .6808 .6844 .6879 0,5 6915 6950 .6985 .7019 .7054 .7088 .7123 7157 .7190 .7224 0.6 .7257 .7291 .7324 .7357 .7389 .7422 .7454 .7486 .7517 .7549 0.7 .7580 .7611 .7642 .7673 .7704 .7734 .7764 .7794 .7823 .7852 0.8 .7881 7910 .7939 .7967 .7995 .8023 .8051 .8078 8106 .8133 0.9 8159 .8186 .8212 .8238 .8264 .8289 .8315 .8340 .8365 .8389 1.0 .8413 8438 .8461 .8485 .8508 .8531 .8554 .8577 .8599 .8621 Standard Normal Table (Page 1) NEGATIVE z Scores Standard Normal (z) Distribution: Cumulative Area from the LEFT Z .00 .01 .02 .03 .04 .05 .06 .07 .08 .09 -3.50 and lower 0001 -3.4 .0003 .0003 .0003 .0003 .0003 .0003 0003 .0003 .0003 .0002 -3.3 .0005 .0005 .0005 .0004 .0004 .0004 .0004 .0004 .0004 .0003 -3.2 .0007 .0007 0006 0006 .0006 .0006 .0006 .0005 .0005 0005 -3.1 .0010 0009 .0009 .0009 .0008 .0008 0008 .0008 .0007 .0007 -3.0 .0013 .0013 0013 .0012 .0012 .0011 .0011 .0011 0010 0010 -2.9 .0019 .0018 .0018 .0017 .0016 .0016 0015 .0015 .0014 .0014 -2.8 .0026 .0025 .0024 .0023 .0023 .0022 .0021 .0021 .0020 .0019 -2.7 .0035 0034 .0033 .0032 .0031 .0030 0029 .0028 .0027 .0026
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
100%
A survey found that women's heights are normally distributed with mean 63.4 in and standard deviation 2.5 in. A branch of the military requires women's heights to be between 58 in and 80 in.
a. Find the percentage of women meeting the height requirement. Are many women being denied the opportunity to join this branch of the military because they are too short or too tall?
b. If this branch of the military changes the height requirements so that all women are eligible except the shortest 1% and the tallest 2%, what are the new height requirements?
Transcribed Image Text:Standard Normal Table (Page 2)
Z
POSITIVE Z Scores
Standard Normal (z) Distribution: Cumulative Area from the LEFT
N
.00
.01
.02
.03
.04
.05
.06
.07
.08
.09
0.0
5000
.5040
.5080
5120
.5160
5199
.5239
5279
.5319
.5359
0.1
.5398
.5438
.5478
.5517
.5557
.5596
.5636
.5675
5714
5753
0.2
5793
.5832
.5871
5910
.5948
.5987
.6026
.6064
.6103
.6141
0.3
.6179
.6217
.6255
.6293
.6331
.6368
.6406
.6443
6480
.6517
0.4
.6554
.6591
.6628
.6664
.6700
.6736
.6772
.6808
.6844
.6879
0,5
6915
6950
.6985
.7019
.7054
.7088
.7123
7157
.7190
.7224
0.6
.7257
.7291
.7324
.7357
.7389
.7422
.7454
.7486
.7517
.7549
0.7
.7580
.7611
.7642
.7673
.7704
.7734
.7764
.7794
.7823
.7852
0.8
.7881
7910
.7939
.7967
.7995
.8023
.8051
.8078
8106
.8133
0.9
8159
.8186
.8212
.8238
.8264
.8289
.8315
.8340
.8365
.8389
1.0
.8413
8438
.8461
.8485
.8508
.8531
.8554
.8577
.8599
.8621
Transcribed Image Text:Standard Normal Table (Page 1)
NEGATIVE z Scores
Standard Normal (z) Distribution: Cumulative Area from the LEFT
Z
.00
.01
.02
.03
.04
.05
.06
.07
.08
.09
-3.50
and
lower
0001
-3.4
.0003
.0003
.0003
.0003
.0003
.0003
0003
.0003
.0003
.0002
-3.3
.0005
.0005
.0005
.0004
.0004
.0004
.0004
.0004
.0004
.0003
-3.2
.0007
.0007
0006
0006
.0006
.0006
.0006
.0005
.0005
0005
-3.1
.0010
0009
.0009
.0009
.0008
.0008
0008
.0008
.0007
.0007
-3.0
.0013
.0013
0013
.0012
.0012
.0011
.0011
.0011
0010
0010
-2.9
.0019
.0018
.0018
.0017
.0016
.0016
0015
.0015
.0014
.0014
-2.8
.0026
.0025
.0024
.0023
.0023
.0022
.0021
.0021
.0020
.0019
-2.7
.0035
0034
.0033
.0032
.0031
.0030
0029
.0028
.0027
.0026
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