Assume that the heights of women are normally distributed with a mean of 62.7 inches and a standard deviation of 2.3 inches. Find Q3 the third quartile that seperates the bottom 75% from the top 25%.
Assume that the heights of women are normally distributed with a mean of 62.7 inches and a standard deviation of 2.3 inches. Find Q3 the third quartile that seperates the bottom 75% from the top 25%.
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
Assume that the heights of women are
62.7 inches and a standard deviation of 2.3 inches. Find Q3 the third quartile that seperates the bottom 75% from the top 25%.
|
z
|
0.09
|
0.08
|
0.07
|
0.06
|
0.05
|
0.04
|
0.03
|
0.02
|
0.01
|
0.00
|
|---|---|---|---|---|---|---|---|---|---|---|
|
−3.4
|
0.0002
|
0.0003
|
0.0003
|
0.0003
|
0.0003
|
0.0003
|
0.0003
|
0.0003
|
0.0003
|
0.0003
|
|
−3.3
|
0.0003
|
0.0004
|
0.0004
|
0.0004
|
0.0004
|
0.0004
|
0.0004
|
0.0005
|
0.0005
|
0.0005
|
|
−3.2
|
0.0005
|
0.0005
|
0.0005
|
0.0006
|
0.0006
|
0.0006
|
0.0006
|
0.0006
|
0.0007
|
0.0007
|
|
−3.1
|
0.0007
|
0.0007
|
0.0008
|
0.0008
|
0.0008
|
0.0008
|
0.0009
|
0.0009
|
0.0009
|
0.0010
|
|
−3.0
|
0.0010
|
0.0010
|
0.0011
|
0.0011
|
0.0011
|
0.0012
|
0.0012
|
0.0013
|
0.0013
|
0.0013
|
|
−2.9
|
0.0014
|
0.0014
|
0.0015
|
0.0015
|
0.0016
|
0.0016
|
0.0017
|
0.0018
|
0.0018
|
0.0019
|
|
−2.8
|
0.0019
|
0.0020
|
0.0021
|
0.0021
|
0.0022
|
0.0023
|
0.0023
|
0.0024
|
0.0025
|
0.0026
|
|
−2.7
|
0.0026
|
0.0027
|
0.0028
|
0.0029
|
0.0030
|
0.0031
|
0.0032
|
0.0033
|
0.0034
|
0.0035
|
|
−2.6
|
0.0036
|
0.0037
|
0.0038
|
0.0039
|
0.0040
|
0.0041
|
0.0043
|
0.0044
|
0.0045
|
0.0047
|
|
−2.5
|
0.0048
|
0.0049
|
0.0051
|
0.0052
|
0.0054
|
0.0055
|
0.0057
|
0.0059
|
0.0060
|
0.0062
|
|
−2.4
|
0.0064
|
0.0066
|
0.0068
|
0.0069
|
0.0071
|
0.0073
|
0.0075
|
0.0078
|
0.0080
|
0.0082
|
|
−2.3
|
0.0084
|
0.0087
|
0.0089
|
0.0091
|
0.0094
|
0.0096
|
0.0099
|
0.0102
|
0.0104
|
0.0107
|
|
−2.2
|
0.0110
|
0.0113
|
0.0116
|
0.0119
|
0.0122
|
0.0125
|
0.0129
|
0.0132
|
0.0136
|
0.0139
|
|
−2.1
|
0.0143
|
0.0146
|
0.0150
|
0.0154
|
0.0158
|
0.0162
|
0.0166
|
0.0170
|
0.0174
|
0.0179
|
|
−2.0
|
0.0183
|
0.0188
|
0.0192
|
0.0197
|
0.0202
|
0.0207
|
0.0212
|
0.0217
|
0.0222
|
0.0228
|
|
−1.9
|
0.0233
|
0.0239
|
0.0244
|
0.0250
|
0.0256
|
0.0262
|
0.0268
|
0.0274
|
0.0281
|
0.0287
|
|
−1.8
|
0.0294
|
0.0301
|
0.0307
|
0.0314
|
0.0322
|
0.0329
|
0.0336
|
0.0344
|
0.0351
|
0.0359
|
|
−1.7
|
0.0367
|
0.0375
|
0.0384
|
0.0392
|
0.0401
|
0.0409
|
0.0418
|
0.0427
|
0.0436
|
0.0446
|
|
−1.6
|
0.0455
|
0.0465
|
0.0475
|
0.0485
|
0.0495
|
0.0505
|
0.0516
|
0.0526
|
0.0537
|
0.0548
|
|
−1.5
|
0.0559
|
0.0571
|
0.0582
|
0.0594
|
0.0606
|
0.0618
|
0.0630
|
0.0643
|
0.0655
|
0.0668
|
|
−1.4
|
0.0681
|
0.0694
|
0.0708
|
0.0721
|
0.0735
|
0.0749
|
0.0764
|
0.0778
|
0.0793
|
0.0808
|
|
−1.3
|
0.0823
|
0.0838
|
0.0853
|
0.0869
|
0.0885
|
0.0901
|
0.0918
|
0.0934
|
0.0951
|
0.0968
|
|
−1.2
|
0.0985
|
0.1003
|
0.1020
|
0.1038
|
0.1056
|
0.1075
|
0.1093
|
0.1112
|
0.1131
|
0.1151
|
|
−1.1
|
0.1170
|
0.1190
|
0.1210
|
0.1230
|
0.1251
|
0.1271
|
0.1292
|
0.1314
|
0.1335
|
0.1357
|
|
−1.0
|
0.1379
|
0.1401
|
0.1423
|
0.1446
|
0.1469
|
0.1492
|
0.1515
|
0.1539
|
0.1562
|
0.1587
|
|
−0.9
|
0.1611
|
0.1635
|
0.1660
|
0.1685
|
0.1711
|
0.1736
|
0.1762
|
0.1788
|
0.1814
|
0.1841
|
|
−0.8
|
0.1867
|
0.1894
|
0.1922
|
0.1949
|
0.1977
|
0.2005
|
0.2033
|
0.2061
|
0.2090
|
0.2119
|
|
−0.7
|
0.2148
|
0.2177
|
0.2206
|
0.2236
|
0.2266
|
0.2296
|
0.2327
|
0.2358
|
0.2389
|
0.2420
|
|
−0.6
|
0.2451
|
0.2483
|
0.2514
|
0.2546
|
0.2578
|
0.2611
|
0.2643
|
0.2676
|
0.2709
|
0.2743
|
|
−0.5
|
0.2776
|
0.2810
|
0.2843
|
0.2877
|
0.2912
|
0.2946
|
0.2981
|
0.3015
|
0.3050
|
0.3085
|
|
−0.4
|
0.3121
|
0.3156
|
0.3192
|
0.3228
|
0.3264
|
0.3300
|
0.3336
|
0.3372
|
0.3409
|
0.3446
|
|
−0.3
|
0.3483
|
0.3520
|
0.3557
|
0.3594
|
0.3632
|
0.3669
|
0.3707
|
0.3745
|
0.3783
|
0.3821
|
|
−0.2
|
0.3859
|
0.3897
|
0.3936
|
0.3974
|
0.4013
|
0.4052
|
0.4090
|
0.4129
|
0.4168
|
0.4207
|
|
−0.1
|
0.4247
|
0.4286
|
0.4325
|
0.4364
|
0.4404
|
0.4443
|
0.4483
|
0.4522
|
0.4562
|
0.4602
|
|
−0.0
|
0.4641
|
0.4681
|
0.4721
|
0.4761
|
0.4801
|
0.4840
|
0.4880
|
0.4920
|
0.4960
|
0.5000
|
|
z
|
0.09
|
0.08
|
0.07
|
0.06
|
0.05
|
0.04
|
0.03
|
0.02
|
0.01
|
0.00
|
|
z
|
0.00
|
0.01
|
0.02
|
0.03
|
0.04
|
0.05
|
0.06
|
0.07
|
0.08
|
0.09
|
|---|---|---|---|---|---|---|---|---|---|---|
|
0.0
|
0.5000
|
0.5040
|
0.5080
|
0.5120
|
0.5160
|
0.5199
|
0.5239
|
0.5279
|
0.5319
|
0.5359
|
|
0.1
|
0.5398
|
0.5438
|
0.5478
|
0.5517
|
0.5557
|
0.5596
|
0.5636
|
0.5675
|
0.5714
|
0.5753
|
|
0.2
|
0.5793
|
0.5832
|
0.5871
|
0.5910
|
0.5948
|
0.5987
|
0.6026
|
0.6064
|
0.6103
|
0.6141
|
|
0.3
|
0.6179
|
0.6217
|
0.6255
|
0.6293
|
0.6331
|
0.6368
|
0.6406
|
0.6443
|
0.6480
|
0.6517
|
|
0.4
|
0.6554
|
0.6591
|
0.6628
|
0.6664
|
0.6700
|
0.6736
|
0.6772
|
0.6808
|
0.6844
|
0.6879
|
|
0.5
|
0.6915
|
0.6950
|
0.6985
|
0.7019
|
0.7054
|
0.7088
|
0.7123
|
0.7157
|
0.7190
|
0.7224
|
|
0.6
|
0.7257
|
0.7291
|
0.7324
|
0.7357
|
0.7389
|
0.7422
|
0.7454
|
0.7486
|
0.7517
|
0.7549
|
|
0.7
|
0.7580
|
0.7611
|
0.7642
|
0.7673
|
0.7704
|
0.7734
|
0.7764
|
0.7794
|
0.7823
|
0.7852
|
|
0.8
|
0.7881
|
0.7910
|
0.7939
|
0.7967
|
0.7995
|
0.8023
|
0.8051
|
0.8078
|
0.8106
|
0.8133
|
|
0.9
|
0.8159
|
0.8186
|
0.8212
|
0.8238
|
0.8264
|
0.8289
|
0.8315
|
0.8340
|
0.8365
|
0.8389
|
|
1.0
|
0.8413
|
0.8438
|
0.8461
|
0.8485
|
0.8508
|
0.8531
|
0.8554
|
0.8577
|
0.8599
|
0.8621
|
|
1.1
|
0.8643
|
0.8665
|
0.8686
|
0.8708
|
0.8729
|
0.8749
|
0.8770
|
0.8790
|
0.8810
|
0.8830
|
|
1.2
|
0.8849
|
0.8869
|
0.8888
|
0.8907
|
0.8925
|
0.8944
|
0.8962
|
0.8980
|
0.8997
|
0.9015
|
|
1.3
|
0.9032
|
0.9049
|
0.9066
|
0.9082
|
0.9099
|
0.9115
|
0.9131
|
0.9147
|
0.9162
|
0.9177
|
|
1.4
|
0.9192
|
0.9207
|
0.9222
|
0.9236
|
0.9251
|
0.9265
|
0.9279
|
0.9292
|
0.9306
|
0.9319
|
|
1.5
|
0.9332
|
0.9345
|
0.9357
|
0.9370
|
0.9382
|
0.9394
|
0.9406
|
0.9418
|
0.9429
|
0.9441
|
|
1.6
|
0.9452
|
0.9463
|
0.9474
|
0.9484
|
0.9495
|
0.9505
|
0.9515
|
0.9525
|
0.9535
|
0.9545
|
|
1.7
|
0.9554
|
0.9564
|
0.9573
|
0.9582
|
0.9591
|
0.9599
|
0.9608
|
0.9616
|
0.9625
|
0.9633
|
|
1.8
|
0.9641
|
0.9649
|
0.9656
|
0.9664
|
0.9671
|
0.9678
|
0.9686
|
0.9693
|
0.9699
|
0.9706
|
|
1.9
|
0.9713
|
0.9719
|
0.9726
|
0.9732
|
0.9738
|
0.9744
|
0.9750
|
0.9756
|
0.9761
|
0.9767
|
|
2.0
|
0.9772
|
0.9778
|
0.9783
|
0.9788
|
0.9793
|
0.9798
|
0.9803
|
0.9808
|
0.9812
|
0.9817
|
|
2.1
|
0.9821
|
0.9826
|
0.9830
|
0.9834
|
0.9838
|
0.9842
|
0.9846
|
0.9850
|
0.9854
|
0.9857
|
|
2.2
|
0.9861
|
0.9864
|
0.9868
|
0.9871
|
0.9875
|
0.9878
|
0.9881
|
0.9884
|
0.9887
|
0.9890
|
|
2.3
|
0.9893
|
0.9896
|
0.9898
|
0.9901
|
0.9904
|
0.9906
|
0.9909
|
0.9911
|
0.9913
|
0.9916
|
|
2.4
|
0.9918
|
0.9920
|
0.9922
|
0.9925
|
0.9927
|
0.9929
|
0.9931
|
0.9932
|
0.9934
|
0.9936
|
|
2.5
|
0.9938
|
0.9940
|
0.9941
|
0.9943
|
0.9945
|
0.9946
|
0.9948
|
0.9949
|
0.9951
|
0.9952
|
|
2.6
|
0.9953
|
0.9955
|
0.9956
|
0.9957
|
0.9959
|
0.9960
|
0.9961
|
0.9962
|
0.9963
|
0.9964
|
|
2.7
|
0.9965
|
0.9966
|
0.9967
|
0.9968
|
0.9969
|
0.9970
|
0.9971
|
0.9972
|
0.9973
|
0.9974
|
|
2.8
|
0.9974
|
0.9975
|
0.9976
|
0.9977
|
0.9977
|
0.9978
|
0.9979
|
0.9979
|
0.9980
|
0.9981
|
|
2.9
|
0.9981
|
0.9982
|
0.9982
|
0.9983
|
0.9984
|
0.9984
|
0.9985
|
0.9985
|
0.9986
|
0.9986
|
|
3.0
|
0.9987
|
0.9987
|
0.9987
|
0.9988
|
0.9988
|
0.9989
|
0.9989
|
0.9989
|
0.9990
|
0.9990
|
|
3.1
|
0.9990
|
0.9991
|
0.9991
|
0.9991
|
0.9992
|
0.9992
|
0.9992
|
0.9992
|
0.9993
|
0.9993
|
|
3.2
|
0.9993
|
0.9993
|
0.9994
|
0.9994
|
0.9994
|
0.9994
|
0.9994
|
0.9995
|
0.9995
|
0.9995
|
|
3.3
|
0.9995
|
0.9995
|
0.9995
|
0.9996
|
0.9996
|
0.9996
|
0.9996
|
0.9996
|
0.9996
|
0.9997
|
|
3.4
|
0.9997
|
0.9997
|
0.9997
|
0.9997
|
0.9997
|
0.9997
|
0.9997
|
0.9997
|
0.9997
|
0.9998
|
|
z
|
0.00
|
0.01
|
0.02
|
0.03
|
0.04
|
0.05
|
0.06
|
0.07
|
0.08
|
0.09
|
A. 64.3
B. 65.3
C. 65.6
D. 61.1
Expert Solution
This question has been solved!
Explore an expertly crafted, step-by-step solution for a thorough understanding of key concepts.
This is a popular solution!
Trending now
This is a popular solution!
Step by step
Solved in 2 steps
Recommended textbooks for you
MATLAB: An Introduction with Applications
Statistics
ISBN:
9781119256830
Author:
Amos Gilat
Publisher:
John Wiley & Sons Inc
Probability and Statistics for Engineering and th…
Statistics
ISBN:
9781305251809
Author:
Jay L. Devore
Publisher:
Cengage Learning
Statistics for The Behavioral Sciences (MindTap C…
Statistics
ISBN:
9781305504912
Author:
Frederick J Gravetter, Larry B. Wallnau
Publisher:
Cengage Learning
MATLAB: An Introduction with Applications
Statistics
ISBN:
9781119256830
Author:
Amos Gilat
Publisher:
John Wiley & Sons Inc
Probability and Statistics for Engineering and th…
Statistics
ISBN:
9781305251809
Author:
Jay L. Devore
Publisher:
Cengage Learning
Statistics for The Behavioral Sciences (MindTap C…
Statistics
ISBN:
9781305504912
Author:
Frederick J Gravetter, Larry B. Wallnau
Publisher:
Cengage Learning
Elementary Statistics: Picturing the World (7th E…
Statistics
ISBN:
9780134683416
Author:
Ron Larson, Betsy Farber
Publisher:
PEARSON
The Basic Practice of Statistics
Statistics
ISBN:
9781319042578
Author:
David S. Moore, William I. Notz, Michael A. Fligner
Publisher:
W. H. Freeman
Introduction to the Practice of Statistics
Statistics
ISBN:
9781319013387
Author:
David S. Moore, George P. McCabe, Bruce A. Craig
Publisher:
W. H. Freeman