Which number of minutes per day represents the 70th percentile?  (Round to the nearest whole number as needed.)
Which number of minutes per day represents the 70th percentile?  (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
d) Which number of minutes per day represents the 70th percentile? 
(Round to the nearest whole number as needed.)

Transcribed Image Text:According to eMarketer, adults in the United States spent an average of 92 mninutes ner dav on social melL
Click here to view page 1 of the standard normal distribution table.
Click here to view page 2 of the standard normal distribution table.
Standard Normal Distribution Table (Page 1)
a. What is the probability that the amount of time spent today on socia
FIRST DIGIT OF Z
SECOND DIGIT OF Z
The probability is 0.2148
(Round to four decimal places as needed.)
0.08
0.09
FIRST DIGIT OF Z
0.05
0.06
0.07
0.02
0.03
0.04
0.00
0.01
-3.7 and lower
0.0001
-3.6
-3.7 and lower
0.0001
0.0001
0.0001
b. What is the probability that the amount of time spent today on socia
0.0001
0.0001
0.0001
0.0001
-3.6
0.0002
0.0001
0.0002
0.0002
-3.5
0.0002
0.0002
0.0002
0.0002
0.0002
0.0002
The probability is 0.8315
(Round to four decimal places as needed.)
-3.5
0.0002
0.0002
0.0002
-3.4
0.0003
0.0003
0.0003
0.0002
-3.4
0.0003
0.0003
0.0003
0.0003
0.0003
0.0003
0.0004
0.0004
0.0004
0.0004
0.0003
-3.3
0.0006
0.0006
0.0005
0.0004
0.0004
-3.3
c. What is the probability that the amount of time spent today on socia
-3.2
0.0006
0.0006
0.0006
0.0005
0.0005
0.0005
3.2
0.0007
0.0007
0.0006
0.0006
-3.1
The probability is 0.4603
(Round to four decimal places as needed.)
0.0009
0.0008
0.0008
0.0008
0.0008
0.0007
0.0007
-3.1
0.0010
0.0009
0.0009
0.0011
0.0011
0.0011
0.0010
0.0010
-3.0
3.0
0.0013
0.0013
0.0013
0.0012
0.0012
d. Which number of minutes per day represents the 70th percentile?
0.0017
0.0016
0.0016
0.0015
0.0015
0.0014
0.0014
-2.9
-2.9
0.0019
0.0018
0.0018
--2.8
0.0024
0.0023
0.0023
0.0022
0.0021
0.0021
0.0020
0.0019
-2.8
0.0026
0.0025
minute(s) per day
(Round to the nearest whole number as needed.)
-2.7
0.0035
0.0034
0.0033
0.0032
0.0031
0.0030
0.0029
0.0028
0.0027
0.0026
-2.7
-2.6
0.0047
0.0045
0.0044
0.0043
0.0041
0.0040
0.0039
0.0038
0.0037
0.0036
-2.6
-2.5
0.0062
0.0060
0.0059
0.0067
0.0055
0.0054
0.0052
0.0051
0.0049
0.0048
-2.5
-2.4
0.0082
0.0080
0.0078
0.0075
0.0073
0.0071
0.0069
0.0068
0.0066
0.0064
-2.4
-2.3
0.0107
0.0104
0.0102
0.0099
0.0096
0.0094
0.0091
0.0089
0.0087
0.0084
-2.3
-2.2
0.0139
0.0136
0.0132
0.0129
0.0125
0.0122
0.0119
0.0116
0.0113
0.0110
-2.2
-2.1
0.0179
0.0174
0.0170
0.0166
0.0162
0.0158
0.0154
0.0150
0.0146
0.0143
-2.1
-2.0
0.0226
0.0222
0.0217
0.0212
0.0207
0.0202
0.0197
0.0192
0.0188
0.0183
-2.0
-1.9
0.0287
0.0281
0.0274
0.0268
0.0262
0.0256
0.0250
0.0244
0.0239
0.0233
-1.9
-1.8
0.0359
0.0351
0.0344
0.0336
0.0329
0.0322
0.0314
0.0307
0.0301
0.0294
-1.8
-1.7
0.0446
0.0436
0.0427
0.0418
0.0409
0.0401
0.0392
0.0384
0.0375
-1.6
0.0548
0.0537
0.0367
-1.7
0.0526
0.0516
0.0505
0.0495
-1.5
o DR4
0.0485
0.0475
0.0465
0.0455
-1.6
0.0668
0.0655
0.0643
0.0630
0.0618
0.0606
0.0594
0.0582
-1.4
0.0808
0.0793
0.0778
0.0571
0.0559
-1.5
0.0764
0.0749
0.0735
-1.3
0.0968
0.0721
0.0708
0.0694
0.0681
0.0951
0.0934
0.0918
0.0901
-1.4
-1.2
0.0885
0.0869
0.0853
0.0838
0.1151
0.1131
0.1112
0.1093
0.0823
-1.3
0.1075
-1.1
0.1056
0.1038
0.1020
0.1357
0.1335
0.1314
0.1292
0.1003
0.0985
-1.2
-1.0
0.1271
0.1251
0.1230
0.1587
0.1562
0.1539
0.1210
0.1190
0.1170
-1.1
-0.9
0.1515
0.1492
0.1469
0.1446
0.1841
0.1814
0.1788
0.1762
0.1423
0.1401
0.1379
-1.0
-0.8
0.1736
0.1711
0.1685
0.2119
0.2090
0.2061
0.1660
0.1635
-0.7
0.2033
0.2005
0.1977
0.1611
-0.9
0.2420
0.2389
0.1949
0.1922
0.1894
0.2358
0.2327
0.2296
0.1867
-0.8
0.6
0.2743
0.2709
0.2266
0.2236
0.2206
0.2676
0.2643
0.2611
0.2177
0.2148
-0.7
0.5
0.3085
0.2578
0.2546
0.3050
0.3015
0.2981
0.2514
0.2483
0.2451
-0.4
0.3446
0.2946
0.2912
-0.6
M2912
0.3264
0.3409
0.3372
0.3336
0.2877
0.2843
0.2810
-0.3
0.3821
0.3300
0.3228
0.2776
-0.5
0.3783
0.37 45
0.3192
0.31 56
0.2
0.4207
0.3707
0.3669
0.3632
0.3121
0.4168
0.4129
0.3594
0.3557
-0.4
-0.1
0.4090
0.4052
0.3520
0.3483
0.4602
0.4562
0.4013
0.3974
0.3936
-0.3
-0.0
0.4522
0.4483
0.3897
0.3859
0.5000
0.4960
04443
0.4404
0.4364
-0.2
FIRST DIGIT OF Z
0.4920
0.4880
0.4325
0.4286
0.4840
0.4801
0.4761
0.4247
0.4721
-0.1
0.00
SECOND DIGIT OF Z
0.4681
0.4641
0.01
0.02
0.03
-0.0
0.04
0.05
FIRST DIGIT OF Z
0.06
0.07
0.08
0.09
Print
Done

Transcribed Image Text:and Instagram in 2017. Assume that minutes per day on these platforms follow a normal distribution with a standard deviation of 28. Complete par
Standard Normal Distribution Table (Page 2)
SECOND DIGIT OF Z
FIRST DIGIT OF Z
FIRST DIGIT OF 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
0.6040
0.5080
0.6120
0.5160
0.6199
0.5239
0.5279
0.6319
0.5359
0.0
0.1
0.5398
0.5438
0.5478
0.5517
0.5567
0.5596
0.5636
0.5675
0.6714
0.5753
0.1
0.2
0.5793
0.5832
0.5871
0.5910
0.5948
0.5987
0.6026
0.6064
0.6103
0.6141
0.2
0.3
0.6179
0.6217
0.6255
0.6293
0.6331
0.6368
0.6406
0.6443
0.6480
0.6517
0.3
0.4
0.6554
0.6591
0.6628
0.6664
0.6700
0.6736
0.6772
0.6808
0.6844
0.6879
0.4
0.5
0.6915
0.6950
0.6985
0.7019
0.7054
0.7088
0.7123
0.7157
0.7190
0.7224
0.5
0.6
0.7257
0.7291
0.7324
0.7357
0.7389
0.7422
0.7454
0.7486
0.7517
0.7549
0.6
0.7
0.7580
0.7611
0.7642
0.7673
0.7704
0.7734
0.7764
0.7794
0.7823
0.7852
0.7
0.8
0.7881
07910
0.7939
0.7967
0.7995
0.8023
0.8051
0.8078
0.8106
0.8133
0.8
0.9
0.8159
0.8186
0.8212
0.8238
0.8264
0.8289
0.8315
0.8340
0.8365
0.8389
0.9
1.0
0.8413
0.8438
0.8461
0.8485
0.8508
0.8531
0.8554
0.8577
0.8599
0.8621
1.0
1.1
0.8643
0.8665
0.8686
0.87 08
0.8729
0.87 49
0.8770
0.8790
0.8810
0.8830
1.1
1.2
0.8849
0.8869
0.8888
0.8907
0.8925
0.8944
0.8962
0.8980
0.8997
0.9015
1.2
1.3
0.9032
0.9049
0.9066
0.9082
0.9099
0.9115
0.9131
0.9147
0.9162
0.9177
1.3
1.4
0.9192
0.9207
0.9222
0.9236
0.9251
0.9265
0.9279
0.9292
0.9306
0.9319
1.4
1.5
0.9332
0.9345
0.9357
0.9370
0.9382
0.9394
0.9406
0.9418
0.9429
0.9441
1.5
1.6
0.9452
0.9463
0.9474
0.9484
0.9495
0.9505
0.9515
0.9525
0.9535
0.9545
1.6
1.7
0.9554
0.9564
0.9573
0.9582
0.9591
0.9599
0.9608
0.9616
0.9625
0.9633
1.7
1.8
0.9641
0.9649
0.9656
0.9664
0.9671
0.9678
0.9686
0.9693
0.9699
0.9706
1.8
1.9
0.9713
0.97 19
0.9726
0.9732
0.9738
0.97 44
0.9750
0.9756
0.9761
0.9767
1.9
2.0
0.9772
0.9778
0.9783
0.9788
0.9793
0.9798
0.9803
0.9808
0.9812
0.9817
2.0
2.1
0.9821
0.9826
0.9830
0.9834
0.9838
0.9842
0.9846
0.9850
0.9854
0.9857
2.1
2.2
0.9861
0.9864
0.9868
0.9871
0.9875
0.9878
0.9881
0.9884
0.9887
0.9890
2.2
2.3
0.9893
0.9896
0.9898
0.9901
0.9904
0.9906
0.9909
0.9911
0.9913
0.9916
2.3
2.4
0.9918
0.9920
0.9922
0.9925
0.9927
0.9929
0.9931
0.9932
0.9934
0.9936
2.4
2.5
0.9938
0.9940
0.9941
0.9943
0.9945
0.9946
0.9948
0.9949
0.9951
0.9952
2.5
2.6
0.9953
0.9955
0.9956
0.9957
0.9959
0.9960
0.9961
0.9962
0.9963
0.9964
2.6
2.7
0.9965
0.9966
0.9967
0.9968
0.9969
0.9970
0.9971
0.9972
0.9973
0.9974
2.7
2.8
0.997 4
0.9975
0.9976
0.9977
0.9977
0.9978
0.9979
0.9979
0.9980
0.9981
2.8
2.9
0.9981
0.9982
0.9982
0.9983
0.9984
0.9984
0.9985
0.9985
0.9986
0.9986
2.9
3.0
0.9987
0.9987
0.9987
0.9988
0.9988
0.9989
0.9989
0.9989
0.9990
0.9990
3.0
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
3.1
0.9994
0.9994
0.9994
0.9994
0.9995
3.3
0.9995
0.9995
3.2
0.9995
0.9995
0.9995
0.9996
0.9996
0.9996
0.9996
3.4
0.9996
0.9996
0.9997
3.3
0.9997
0.9997
0.9997
0.9997
0.9997
0.9997
3.5
0.9997
0.9997
0.9997
0.9998
3.4
0.9998
0.9998
0.9998
0.9998
0.9998
0.9998
0.9998
0.9998
0.9998
0.9998
3.6
0.9998
0.9998
0.9999
3.5
0.9999
0.9999
0.9999
0.9999
0.9999
3.7 and higher
0.9999
0.9999
0.9999
3.6
FIRST DIGIT OF Z
3.7 and higher
SECOND DIGIT OF Z
0.06
0.00
0.01
0.02
0.03
0.04
FIRST DIGIT OF Z
0.05
0.07
0.08
0.09
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