Practical Management Science
Practical Management Science
6th Edition
ISBN: 9781337406659
Author: WINSTON, Wayne L.
Publisher: Cengage,
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A
x ✓ fox
B
DENGAWNINGAWN
10
Factor for R Chart
Number of Factor for Lower Upper
Observations x-bar Control Control
in Subgroup Chart
Limit
Limit
A₂
D3
DA
12
16
Exhibit 10.13-Factor for Determining 3-Sigma Limits for R-bar and x-bar Charts
17
18
(
19
20
1.88
1.02
0.73
0.58
0.48
0.42
0.37
0.34
D
0.31
0.29
0.27
0.25
0.24
0.22
0.21
0.20
0.19
0.19
0.18
0.00
0.00
0.00
0.00
0.00
0.08
0.14
0.18
0.22
0.26
0.28
0.31
E
0.33
0.35
0.36
0.38
0.39
0.40
0.41
3.27
2.57
2.28
2.11
2.00
1.92
1.86
1.82
1.78
1.74
1.72
1.69
F
1.67
1.65
1.64
1.62
1.61
1.60
1.59
G
H
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Transcribed Image Text:A x ✓ fox B DENGAWNINGAWN 10 Factor for R Chart Number of Factor for Lower Upper Observations x-bar Control Control in Subgroup Chart Limit Limit A₂ D3 DA 12 16 Exhibit 10.13-Factor for Determining 3-Sigma Limits for R-bar and x-bar Charts 17 18 ( 19 20 1.88 1.02 0.73 0.58 0.48 0.42 0.37 0.34 D 0.31 0.29 0.27 0.25 0.24 0.22 0.21 0.20 0.19 0.19 0.18 0.00 0.00 0.00 0.00 0.00 0.08 0.14 0.18 0.22 0.26 0.28 0.31 E 0.33 0.35 0.36 0.38 0.39 0.40 0.41 3.27 2.57 2.28 2.11 2.00 1.92 1.86 1.82 1.78 1.74 1.72 1.69 F 1.67 1.65 1.64 1.62 1.61 1.60 1.59 G H
es
Resistors for electronic circuits are manufactured on a high-speed automated machine. The machine is set up to produce a large run of
resistors of 1,000 ohms each. Use Exhibit 10.13.
To set up the machine and to create a control chart to be used throughout the run, 15 samples were taken with four resistors in each
sample. The complete list of samples and their measured values are as follows: Use three-sigma control limits.
SAMPLE
NUMBER
1
2345678
9
10
11
12
13
14
15
READINGS (IN OHMS)
1,014
1,014
973
981
996
972
986
994
983 1,022
1,007
989
1,022
1,015 988 1,020
1,013 998
1,020
1,027
990
1,002
1,021
986 998
977
995 1,026 1,016 1,002
1,023
993
990
991
1,012 1,008
1,002
998
1,023
987 1,017
1,018 1,005 1,018
1,007
1,007
992
998
978
982
986
984
1,012 1,023 1,001 1,003
1
2
3
4
Sample Number
987
993
a. Calculate the mean and range for the above samples.
Note: Round "Mean" to 2 decimal places and "Range" to the nearest whole number.
5
6
7
8
9
10
11
12
13
14
15
1,001
972
983
994
Mean
Range
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Transcribed Image Text:es Resistors for electronic circuits are manufactured on a high-speed automated machine. The machine is set up to produce a large run of resistors of 1,000 ohms each. Use Exhibit 10.13. To set up the machine and to create a control chart to be used throughout the run, 15 samples were taken with four resistors in each sample. The complete list of samples and their measured values are as follows: Use three-sigma control limits. SAMPLE NUMBER 1 2345678 9 10 11 12 13 14 15 READINGS (IN OHMS) 1,014 1,014 973 981 996 972 986 994 983 1,022 1,007 989 1,022 1,015 988 1,020 1,013 998 1,020 1,027 990 1,002 1,021 986 998 977 995 1,026 1,016 1,002 1,023 993 990 991 1,012 1,008 1,002 998 1,023 987 1,017 1,018 1,005 1,018 1,007 1,007 992 998 978 982 986 984 1,012 1,023 1,001 1,003 1 2 3 4 Sample Number 987 993 a. Calculate the mean and range for the above samples. Note: Round "Mean" to 2 decimal places and "Range" to the nearest whole number. 5 6 7 8 9 10 11 12 13 14 15 1,001 972 983 994 Mean Range
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