Women's heights are normally distributed with mean 63.7 in and standard deviation of 2.5 in. A social organization for tall people has a requirement that women must be at least 69 in tall. What percentage of women meet that requirement? The percentage of women that are taller than 69 in is ? -2.4.0082.0080.0078.0075.0073.0071.0069.0068.0066.0064-2.3.0107.0104.0102.0099.0096.0094.0091.0089.0087.0084-2.2.01390136.0132.0129.0125.0122.0119.0116.0113.010-2.1.01790174.0170.01660162.0158.0154.01500146.0143-2.0.0228.0222.0217.02120207.0202.0197.0192.0188.0183-1.9.0287.0281.0274.0268.0262.0256.0250.02440239.0233-1.8.0359.0351.0344.0336.0329.0322.0314.0307.0301.0294-1.7.0446.0436.0427.0418.0409.0401.0392.0384.0375.0367-1.6.0548.0537.0526.0516.0505* 0495.0485.0475.0465.0455-1.5.0668.0655.0643.0630.0618.0606.0594.0582.0571.0559-1.4.08080793.0778.07640749.0735.0721.07080694.0681-1.3.09680951.0934.0918.0901.0885.0869.0853.0838.0823-1.2.115111311121093107510561038.10201003.0985-1.11357.133513141292127112511230121011901170-1.0.1587.1562.15391515.1492.1469144614231401.1379-0.91841.181417881762.173617111685.16601635.1611-0.82119209020612033.2005.19771949.1922.1894.1867-0.724202389235823272296.22662236.22062177.2148-0.6.274327092676.26432611.25782546.2514.2483.2451-0.5.3085.305030152981.294629122877.28432810.2776-0.4,3446340933723336.330032643228319231563121-0.33821378337453707366936323594355735203483-0.242074168.41294090405240133974393638973859-0.1.4602.45624522.4483.4443.44044364.432542864247-0.0.5000.4960.4920.4880.4840.48014761.47214681.4641NOTE: For values of z below -3.49, use 0.0001 for the area."Use these common values that result from internolation: Standard Normal (z) Distribution: Cumulative Area from the LEFT00.01.02.03.04.05.06.0708.09-3.50andlower.0001-3.4.0003.0003.0003.0003.0003.0003.0003.0003.0003.0002-3.3.0005.0005.0005.0004.0004.0004.0004.0004.0004.0003-3.2.0007.0007.0006.0006.0006.0006.0006.0005.0005.0005-3.1.00100009.0009.0009.0008.0008.0008.0008.0007.0007.0013.0018-3.0.0013.0013.o012.0012.0011.001.001.0010.0010-2.9.0019.0018.0017.0016.0016.0015.0015.0014.0014-2.8.0026.0025.0024.0023.0023.0022.0021.0021.0020.O019-2.7.0035.0034.0033.0032.0031.0030.0029.0028.0027.0026-2.6.0047.0045.0044.0043.0041.0040.0039.0038.0037.0036-2.5.0062.0060.0059.0057.0055.0054.0052.0051* .0049.0048-2.4.0082.0080.0078.0075.0073.0071.0069.0068.0066.0064-2.3.01070104.0102.0099.0096.0094.0091.0089.0087.0084-2.2.01390136.0132.0129.0125.0122.0119.0116.0113.0110-2.1.01790174.0170.01660162.0158.0154.0150.0146.0143-2.0.0228.0222.0217.02120207.0202.0197.0192.0188.0183-1.9.0287.0281.0274.0268.0262.0256.0250.0244.0239.0233-1.8.0359.0351.0344.0336.0329.0322.0314.0307.0301.0294-1.7.0446.0436.0427.0418.0409.0401.0392.0384.0375.0367-1.6.0548.0537.0526.05160505* .0495.0485.0475.0465.0455-1.5.0668.0655.0643.0630.0618.0606.0594.0582.0571.0559

In question, Given that, women's height is normally distributed with mean 63.7 in and standard…

Answered: Women's heights are normally…

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

Women's heights are normally distributed with mean 63.7 in and standard deviation of 2.5 in. A social organization for tall people has a requirement that women must be at least 69 in tall. What percentage of women meet that requirement?

The percentage of women that are taller than 69 in is ?

-2.4
.0082
.0080
.0078
.0075
.0073
.0071
.0069
.0068
.0066
.0064
-2.3
.0107
.0104
.0102
.0099
.0096
.0094
.0091
.0089
.0087
.0084
-2.2
.0139
0136
.0132
.0129
.0125
.0122
.0119
.0116
.0113
.010
-2.1
.0179
0174
.0170
.0166
0162
.0158
.0154
.0150
0146
.0143
-2.0
.0228
.0222
.0217
.0212
0207
.0202
.0197
.0192
.0188
.0183
-1.9
.0287
.0281
.0274
.0268
.0262
.0256
.0250
.0244
0239
.0233
-1.8
.0359
.0351
.0344
.0336
.0329
.0322
.0314
.0307
.0301
.0294
-1.7
.0446
.0436
.0427
.0418
.0409
.0401
.0392
.0384
.0375
.0367
-1.6
.0548
.0537
.0526
.0516
.0505
* 0495
.0485
.0475
.0465
.0455
-1.5
.0668
.0655
.0643
.0630
.0618
.0606
.0594
.0582
.0571
.0559
-1.4
.0808
0793
.0778
.0764
0749
.0735
.0721
.0708
0694
.0681
-1.3
.0968
0951
.0934
.0918
.0901
.0885
.0869
.0853
.0838
.0823
-1.2
.1151
1131
112
1093
1075
1056
1038
.1020
1003
.0985
-1.1
1357
.1335
1314
1292
1271
1251
1230
1210
1190
1170
-1.0
.1587
.1562
.1539
1515
.1492
.1469
1446
1423
1401
.1379
-0.9
1841
.1814
1788
1762
.1736
1711
1685
.1660
1635
.1611
-0.8
2119
2090
2061
2033
.2005
.1977
1949
.1922
.1894
.1867
-0.7
2420
2389
2358
2327
2296
.2266
2236
.2206
2177
.2148
-0.6
.2743
2709
2676
.2643
2611
.2578
2546
.2514
.2483
.2451
-0.5
.3085
.3050
3015
2981
.2946
2912
2877
.2843
2810
.2776
-0.4
,3446
3409
3372
3336
.3300
3264
3228
3192
3156
3121
-0.3
3821
3783
3745
3707
3669
3632
3594
3557
3520
3483
-0.2
4207
4168
.4129
4090
4052
4013
3974
3936
3897
3859
-0.1
.4602
.4562
4522
.4483
.4443
.4404
4364
.4325
4286
4247
-0.0
.5000
.4960
.4920
.4880
.4840
.4801
4761
.4721
4681
.4641
NOTE: For values of z below -3.49, use 0.0001 for the area.
"Use these common values that result from internolation:

Standard Normal (z) Distribution: Cumulative Area from the LEFT
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
.0013
.0018
-3.0
.0013
.0013
.o012
.0012
.0011
.001
.001
.0010
.0010
-2.9
.0019
.0018
.0017
.0016
.0016
.0015
.0015
.0014
.0014
-2.8
.0026
.0025
.0024
.0023
.0023
.0022
.0021
.0021
.0020
.O019
-2.7
.0035
.0034
.0033
.0032
.0031
.0030
.0029
.0028
.0027
.0026
-2.6
.0047
.0045
.0044
.0043
.0041
.0040
.0039
.0038
.0037
.0036
-2.5
.0062
.0060
.0059
.0057
.0055
.0054
.0052
.0051
* .0049
.0048
-2.4
.0082
.0080
.0078
.0075
.0073
.0071
.0069
.0068
.0066
.0064
-2.3
.0107
0104
.0102
.0099
.0096
.0094
.0091
.0089
.0087
.0084
-2.2
.0139
0136
.0132
.0129
.0125
.0122
.0119
.0116
.0113
.0110
-2.1
.0179
0174
.0170
.0166
0162
.0158
.0154
.0150
.0146
.0143
-2.0
.0228
.0222
.0217
.0212
0207
.0202
.0197
.0192
.0188
.0183
-1.9
.0287
.0281
.0274
.0268
.0262
.0256
.0250
.0244
.0239
.0233
-1.8
.0359
.0351
.0344
.0336
.0329
.0322
.0314
.0307
.0301
.0294
-1.7
.0446
.0436
.0427
.0418
.0409
.0401
.0392
.0384
.0375
.0367
-1.6
.0548
.0537
.0526
.0516
0505
* .0495
.0485
.0475
.0465
.0455
-1.5
.0668
.0655
.0643
.0630
.0618
.0606
.0594
.0582
.0571
.0559

Definition Definition Measure of central tendency that is the average of a given data set. The mean value is evaluated as the quotient of the sum of all observations by the sample size. The mean, in contrast to a median, is affected by extreme values. Very large or very small values can distract the mean from the center of the data. Arithmetic mean: The most common type of mean is the arithmetic mean. It is evaluated using the formula: μ = 1 N ∑ i = 1 N x i Other types of means are the geometric mean, logarithmic mean, and harmonic mean. Geometric mean: The nth root of the product of n observations from a data set is defined as the geometric mean of the set: G = x 1 x 2 ... x n n Logarithmic mean: The difference of the natural logarithms of the two numbers, divided by the difference between the numbers is the logarithmic mean of the two numbers. The logarithmic mean is used particularly in heat transfer and mass transfer. ln x 2 − ln x 1 x 2 − x 1 Harmonic mean: The inverse of the arithmetic mean of the inverses of all the numbers in a data set is the harmonic mean of the data. 1 1 x 1 + 1 x 2 + ...

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