34 4567 8 9 10 11 12 13 14 15 b. Determine X and R. Note: Round your answers to 3 decimal places. X bar R bar 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 READINGS (IN OHMS) NUMBER 1 2 976 1,018 998 985 979 993 974 1,025 3 1,027 1,021 990 1,019 4 1,015 1,028 1,027 1,009 5 1,002 1,016 992 972 6 974 981 1,009 1,006 7 976 1,016 1,027 1,027 8 999 1,000 1,015 992 9 1,024 997 986 979 10 1,009 996 987 1,028 11 994 974 994 1,010 12 977 990 1,024 990 13 993 1,000 1,006 1,018 14 1,012 1,015 1,015 1,004 15 972 977 1,018 1,020 a. Calculate the mean and range for the above samples. Note: Round "Mean" to 2 decimal places and "Range" to the nearest whole number. Sample Number Mean Range 1 2 3 Δ

Practical Management Science
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C: 

Determine the UCL and LCL for a X−�− chart.

Note: Round your answers to 3 decimal places.

D: 

Determine the UCL and LCL for R-chart.

Note: Leave no cells blank - be certain to enter "0" wherever required. Round your answers to 3 decimal places.

E: 

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      multiple choice

      • Process is in statistical control
      • Process is out of statistical control
34 4567
8
9
10
11
12
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15
b. Determine X and R.
Note: Round your answers to 3 decimal places.
X bar
R bar
Transcribed Image Text:34 4567 8 9 10 11 12 13 14 15 b. Determine X and R. Note: Round your answers to 3 decimal places. X bar R bar
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
READINGS (IN OHMS)
NUMBER
1
2
976
1,018
998
985
979
993
974 1,025
3
1,027 1,021
990 1,019
4
1,015 1,028 1,027
1,009
5
1,002
1,016
992
972
6
974 981
1,009
1,006
7
976
1,016
1,027
1,027
8
999
1,000
1,015
992
9
1,024
997
986
979
10
1,009
996
987
1,028
11
994
974
994
1,010
12
977
990
1,024
990
13
993 1,000
1,006 1,018
14
1,012
1,015
1,015 1,004
15
972
977 1,018 1,020
a. Calculate the mean and range for the above samples.
Note: Round "Mean" to 2 decimal places and "Range" to the nearest whole number.
Sample Number
Mean
Range
1
2
3
Δ
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 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 READINGS (IN OHMS) NUMBER 1 2 976 1,018 998 985 979 993 974 1,025 3 1,027 1,021 990 1,019 4 1,015 1,028 1,027 1,009 5 1,002 1,016 992 972 6 974 981 1,009 1,006 7 976 1,016 1,027 1,027 8 999 1,000 1,015 992 9 1,024 997 986 979 10 1,009 996 987 1,028 11 994 974 994 1,010 12 977 990 1,024 990 13 993 1,000 1,006 1,018 14 1,012 1,015 1,015 1,004 15 972 977 1,018 1,020 a. Calculate the mean and range for the above samples. Note: Round "Mean" to 2 decimal places and "Range" to the nearest whole number. Sample Number Mean Range 1 2 3 Δ
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