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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.
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 READINGS (IN OHMS)
1 988 1008 984 989
2 991 1002 996 1006
3 982 988 994 1013
4 980 995 1015 1007
5 1002 987 994 973
6 979 993 998 989
7 984 994 974 998
8 973 1003 1006 1029
9 987 971 1030 976
10 1022 998 1027 973
11 1028 1024 1017 974
12 1023 974 1001 1025
13 1002 1018 1005 985
14 978 1030 995 1005
15 977 1015 1001 972
Calculate the mean and range for the above samples. (Round "Mean" to 2 decimal places and "Range" to the nearest whole number.)
Sample Number Mean Range
1
2
3
4
5
6
7
8
9
10
11
12
13
14
15
b.
Determine and . (Round your answers to 3 decimal places.)
R
c.
Determine the UCL and LCL for a chart. (Round your answers to 3 decimal places.)
UCL
LCL
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.
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 READINGS (IN OHMS)
1 988 1008 984 989
2 991 1002 996 1006
3 982 988 994 1013
4 980 995 1015 1007
5 1002 987 994 973
6 979 993 998 989
7 984 994 974 998
8 973 1003 1006 1029
9 987 971 1030 976
10 1022 998 1027 973
11 1028 1024 1017 974
12 1023 974 1001 1025
13 1002 1018 1005 985
14 978 1030 995 1005
15 977 1015 1001 972
Calculate the mean and range for the above samples. (Round "Mean" to 2 decimal places and "Range" to the nearest whole number.)
Sample Number Mean Range
1
2
3
4
5
6
7
8
9
10
11
12
13
14
15
b.
Determine and . (Round your answers to 3 decimal places.)
R
c.
Determine the UCL and LCL for a chart. (Round your answers to 3 decimal places.)
UCL
LCL
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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