Practical Management Science
Practical Management Science
6th Edition
ISBN: 9781337406659
Author: WINSTON, Wayne L.
Publisher: Cengage,
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d. Determine the UCL and LCL for R-chart. (Leave no cells blank - be certain to enter "0" wherever
required. Round your answers to 3 decimal places.)
UCL
LCL
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Transcribed Image Text:d. Determine the UCL and LCL for R-chart. (Leave no cells blank - be certain to enter "0" wherever required. Round your answers to 3 decimal places.) UCL LCL
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 13.7.
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
H234STO OHN345
5
6
7
8
9
10
11
ΕΕΕΕΕ
12
13
14
15
READINGS (IN OHMS)
1097 1094
978
1013
976
1016
977
986
983
1026
988 1014
991 1030
995
991
1023
1014
982
970
1030 1027
1017
1004
995
982
994
1008
1001
1004
995 1015
1026
978 1017
984
995
1007
988
970
1004 1028
1019
983
990
1026
1017
1010
987
994
1030
974
995
1012
1016
1011
983
1018
981
1020
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Transcribed Image Text: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 13.7. 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 H234STO OHN345 5 6 7 8 9 10 11 ΕΕΕΕΕ 12 13 14 15 READINGS (IN OHMS) 1097 1094 978 1013 976 1016 977 986 983 1026 988 1014 991 1030 995 991 1023 1014 982 970 1030 1027 1017 1004 995 982 994 1008 1001 1004 995 1015 1026 978 1017 984 995 1007 988 970 1004 1028 1019 983 990 1026 1017 1010 987 994 1030 974 995 1012 1016 1011 983 1018 981 1020
Expert Solution
Check Mark
Step 1

Formulae used: 

Number of samples (N) = 15

Size of samples (n) = 4

Range (R) = Difference between the largest (Max) value and smallest(Min) values.

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