Practical Management Science
Practical Management Science
6th Edition
ISBN: 9781337406659
Author: WINSTON, Wayne L.
Publisher: Cengage,
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I can't figure out what I did wrong with the solutions I found that have x's beside them. Please help. Thank you! :)

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
2
3
4
2
6
7
3
8
9
10
RECRES
11
12
13
14
15
READINGS (IN CHMS)
1094
1013
991
991
1897
978
976
5
6
7
8
9
10
11
12
13
14
15
1016
977
986
1026
1817
1010
987
994
1016
1011
Sample Number
1
983
988
1030
1023
982
1030
1017
983
1004
1018
995
982
981
994 1008
1020
1001
1004
995 1015 1826
978
984
988
a. Calculate the mean and range for the above samples. (Round "Mean" to 2 decimal places and "Range" to the nearest whole
number.)
1026
1014
995
1014
978
1027
1017
1007
1030
974
995
995
978
1004 1028
1012 1019 983 990
Mean
1,050.00
998.25
998.00
1,011.00
986.25
1,013.50
780.00 X
1,003.00
998.25
1,003.00
1,007.50
1,002.25
991.00
999.25
1,001.00
Range
114
36
54
32
46
44
43
36
29
33
32
52
33
58
36
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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 2 3 4 2 6 7 3 8 9 10 RECRES 11 12 13 14 15 READINGS (IN CHMS) 1094 1013 991 991 1897 978 976 5 6 7 8 9 10 11 12 13 14 15 1016 977 986 1026 1817 1010 987 994 1016 1011 Sample Number 1 983 988 1030 1023 982 1030 1017 983 1004 1018 995 982 981 994 1008 1020 1001 1004 995 1015 1826 978 984 988 a. Calculate the mean and range for the above samples. (Round "Mean" to 2 decimal places and "Range" to the nearest whole number.) 1026 1014 995 1014 978 1027 1017 1007 1030 974 995 995 978 1004 1028 1012 1019 983 990 Mean 1,050.00 998.25 998.00 1,011.00 986.25 1,013.50 780.00 X 1,003.00 998.25 1,003.00 1,007.50 1,002.25 991.00 999.25 1,001.00 Range 114 36 54 32 46 44 43 36 29 33 32 52 33 58 36
b. Determine X and R. (Round your answers to 3 decimal places.)
X
R
989.483 x
45.200
c. Determine the UCL and LCL for a X chart. (Round your answers to 3 decimal places.)
UCL
LCL
1,022.479 x
956.487 x
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Transcribed Image Text:b. Determine X and R. (Round your answers to 3 decimal places.) X R 989.483 x 45.200 c. Determine the UCL and LCL for a X chart. (Round your answers to 3 decimal places.) UCL LCL 1,022.479 x 956.487 x
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