In order to improve the production time, the supervisor of assembly lines for a manufacturer of cellular phones has studied the time that it takes to assemble certain parts of a phone at various stations. She measures the time that it takes to assemble a specific part by 158 people at different shift on different days. The record of her study is organized and shown in the following table. Assume the normal distribution. (Due to the nature of this problem, do not use rounded intermediate values in your calculations-including answers submitted in WebAssign.)
In order to improve the production time, the supervisor of assembly lines for a manufacturer of cellular phones has studied the time that it takes to assemble certain parts of a phone at various stations. She measures the time that it takes to assemble a specific part by 158 people at different shift on different days. The record of her study is organized and shown in the following table. Assume the normal distribution. (Due to the nature of this problem, do not use rounded intermediate values in your calculations-including answers submitted in WebAssign.)
Elements Of Electromagnetics
7th Edition
ISBN:9780190698614
Author:Sadiku, Matthew N. O.
Publisher:Sadiku, Matthew N. O.
ChapterMA: Math Assessment
Section: Chapter Questions
Problem 1.1MA
Related questions
Question

Transcribed Image Text:In order to improve the production time, the supervisor of assembly lines for a manufacturer of cellular phones has studied the time that it takes to assemble certain parts of a phone at various stations. She measures the time that it takes to assemble a specific part by 158 people at different shifts
on different days. The record of her study is organized and shown in the following table. Assume the normal distribution. (Due to the nature of this problem, do not use rounded intermediate values in your calculations-including answers submitted in WebAssign.)
Time That it takes a person to Assemble the Part (minutes)
What is the mean (in minutes)?
x =
minutes
What is the standard deviation (in minutes)?
S=
157
Z =
4
5
6
7
8
9
10
minutes
What is the z value corresponding to 6 minutes?
X - X
6-
=*=*=.
S
Frequency
13
24
26
32
26
24
13
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Follow-up Question

Transcribed Image Text:Referring to this table, determine the A value corresponding to the z value for a 6-minute-assembly line.
A =
What is the z score corresponding to 8 minutes?
8-
z =
X-X
S
=
Referring to this table, determine the A value corresponding to the z value for an 8-minute-assembly line.
A =
Determine the probability that it will take a person between 6 and 8 minutes to assemble the phone.
probability
=

Transcribed Image Text:Areas Under the Standard Normal Curve-The Values Were Generated Using the Standard Normal
Distribution Function of Excel
Note that the standard normal curve is symmetrical about the mean.
z
0
0.01
0.02
0.03
0.04
0.05
0.06
0.07
0.08
0.09
0.1
0.11
0.12
1
0.95
0.96
0.97
0.98
0.99
1.01
1.02
1.03
1.04
1.05
Mean - 0
1.06
1.07
1.08
1.09
A
0.0000
0.0040
0.0080
0.0120
0.0160
0.0199
0.0239
0.0279
0.0319
0.0359
0.0398
0.0438
0.0478
A
0.3186
0.3212
0.3238
0.3264
0.3289
0.3315
0.3340
0.3365
0.3389
Z
0.3413
0.3438
0.3461
0.3485
0.3508
0.3531
0.3554
0.3577
0.3599
0.3621
0.13
0.14
0.15
0.16
0.17
0.18
0.19
0.2
0.21
0.22
0.23
0.24
0.25
1.12
1.13
1.14
1.15
1.16
1.17
A
z
0.0517
0.0557
0.26
0.27
0.28
0.29
0.0596
0.0636
0.0675 0.3
0.0714 0.31
0.0753 0.32
0.0793 0.33
0.0832 0.34
0.0871 0.35
0.0910
0.0948
0.0987
1.18
1.19
1.2
1.21
1.22
1.23
1.24
1.25
1.26
1.27
1.28
A
0.3643
0.3665
0.3686
0.3708
0.3729
0.3749
0.3770
0.3790
0.3810
0.36
0.3830
0.3849
0.3869
0.3888
0.3907
0.3925
0.3944
0.3962
0.3980
0.3997
0.37
0.38
z
1.29
1.3
1.31
1.32
1.33
1.34
1.35
A-03413
1.36
1.37
1.38
1.39
1.4
1.41
1.42
1.43
1.44
1.45
1.46
1.47
21.00
A
0.1026
0.1064
0.1103
Areas Under the Standard Normal Curve-The Values Were Generated Using the Standard Normal
Distribution Function of Excel (continued)
z
Z
0.91
0.92
0.93
1.1
1.11
0.94
0.1443
Z
0.44
0.1141
0.1179
0.1217
0.1255 0.45
0.1293 0.46
0.1331
0.47
0.1368 0.48
0.1406
0.49
0.5
0.51
0.1480
0.39
0.4
0.41
0.42
0.43
A
0.4015
0.4032
0.4049
0.4066
0.4082
0.4099
0.4115
0.4131
0.4147
0.4162
1.54
1.55
1.56
1.57
0.4177 1.58
0.4192 1.59
0.4207 1.6
0.4222 1.61
0.4236 1.62
0.4251 1.63
1.64
1.65
1.66
0.4265
0.4279
0.4292
z
1.48
1.49
1.5
1.51
1.52
A
0.1517
1.53
0.1554
0.1591
0.1628
0.1664
0,1700
0.1736
0.1772
0.1808
0.1844
0.1879
0.1915
0.1950
A
0.4306
0.4319
0.4332
0.4345
0.4357
0.4370
0.4382
0.4394
0.4406
0.4418
z
0.52
0.53
0.54
0.55
0.56
0.57
0.58
0.59
0.6
0.61
0.62
0.63
0.64
0.4429
0.4441
04452
0.4463
0.4474
0.4484
0.4495
0.4505
0.4515
z
1.67
1.68
1.69
1.7
1.71
1.72
1.73
1.74
1.75
1.76
1.77
1.78
1.79
1.8
A04772
1.81
1.82
1.83
1.84
1.85
z-2.00
Z
0.65
0.66
A
A
0.78
0.1985
0.2422
0.2019
0.2454 0.79
0.2054 0.67 0.2486 0.8
0.2088 0.68 0.2517
0.81
0.2123 0.69 0.2549 0.82
0.2157 0.7
0.2580 0.83
0.2190 0.71 0.2611 0.84
0.2224 0.72 0.2642 0.85
0.2257 0.73 0.2673 0.86
0.2291 0.74 0.2704 0.87
0.2324 0.75 0.2734 0.88
0.2357 0.76 0.2764
0.89
0.2389 0.77 0.2794 0.9
A
0.4525
0.4535
0.4545
0.4554
0.4564
0.4573
0.4582
0.4591
0.4599
0.4608
0.4616
0.4625
0.4633
0.4641
0.4649
0.4656
0.4664
0.4671
0.4678
z
1.86
1.87
1.88
1.89
1.9
1.91
1.92
1.93
1.94
1.95
1.96
1.97
1.98
1.99
2
Z
2.01
2.02
2.03
2.04
A-0.4987
A
z
0.4686 2.05
0.4693 2.06
0.4699
0.4706
2.08
0.4713 2.09
0.4719
2.1
0.4726 2.11
0.4732 2.12
0.4738 2.13
0.4744 2.14
0.4750 2.15
2.16
0.4756
0.4761 2.17
0.4767
2.18
0.4772 2.19
0.4778 2.2
0.4783 2.21
0.4788
0.4793
2.07
2.22
2.23
-3.00
A
0.2823
0.2852
0.2881
0.2910
0.2939
0.2967
0.2995
0.3023
0.3051
0.3078
0.3106
0.3133
0.3159
(continued)
A
0.4798
0.4803
0.4808
0.4812
0.4817
0.4821
0.4826
0.4830
0.4834
0.4838
0.4842
0.4846
0.4850
0.4854
0.4857
0.4861
0.4864
0.4868
0.4871
Areas Under the Standard Normal Curve-The Values Were Generated Using the Standard Normal
Distribution Function of Excel (continued)
2,24
2.26
2.27
2.28
0.4875 2.43 0.4925 2.62
0.4878 2.44 0.4927 2.63
0.4881 2.45 0.4929 2.64
0.4884 2.46 0.4931 2.65
0.4887 2.47
2.66
2.29 0.4890
2.48 0.4934 2.67
2.49
2.3 0.4893
0.4936
2.31 0.4896 2.5 0.4938 2.69
0.4898 2.51 0.4940 2.7
0.4901 2.52 0,4941 2.71
0.4904 2.53 0.4943 2.72
2.54 0.4945 2.73
0.4906
0.4909
2.55
0.4946 2.74
0.4911 2.56 0.4948 2.75
0.4913 2.57 0.4949 2.76
0.4916 2.58 0.4951 2.77
0.4918
0.4920 2.6 0.4953
0.4922 2.61 0.4955
2.78
2.79
2.25
2.32
2.33
2.34
2.35
2.36
2.37
2.38
2.39
2.4
2.41
2.42
2.59
0.4932
0.4952
2.68
2.8
0.4956
0.4957
0.4959
0.4960
0.4961
0.4962
0.4963
0.4964
0.4965
0.4966
0.4967 2.91
0.4968 2.92
0.4969 2.93
0.4970
2.94
0.4971 2.95
0.4972 2.96
0.4973 2.97
0.4974 2.98
0.4974 2.99
2.81 0.4975 3
0.4987 3.19
2.82 0.4976 3.01 0.4987 3.2
2.83 0.4977 3.02 0.4987 3.21
0.4977 3.03 0.4988 3.22
2.85 0.4978 3.04 0.4988 3.23
2.86 0.4979 3.05 0.4989
2.87
0.4979
3.06
2.88
3.07
2.89 0.4981 3.08
0.4981 3.09
0.4982
0.4980
2.84
2.9
0.4982
0.4983
3.1
3.11
3.12
3.13
0.4984
0.4984 3.14
0.4985 3.15
0.4985
0.4986 3.17
0.4986
3.16
0.4993 3.38
0.4993 3.39
0.4993 3.4
3.41
0.4994 3.42
0.4994 3.43
0.4994
3.25
3.44
0.4989 3.26 0.4994 3.45
0.4990 3.27
0.4990
3.18
0.4989
0.4990
0.4991
3.24
3.28
3.29
3.3
0.4991 3.31
0.4991 3.32
0.4992 3.33
0.4992 3.34
0.4992 3.35
0.4992 3.36
0.4993 3.37
0.4994
0.4995 3.46
0.4995 3.47
0.4995 3.48
0.4995 3.49
0.4995 3.5
0.4995 3.51
0.4996 3.52
0.4996 3.53
0.4996
0.4996
0.4996
***
***
3.9
0.4996
0.4997
0.4997
0.4997
0.4997
0.4997
0.4997
0.4997
0.4997
0.4997
0.4997
0.4998
0.4998
0.4998
0.4998
0.4998
c...
***
0.5000
End of document
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