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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. 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 READINGS (IN OHMS) 1016 1024 990 1018 1030 1016 992 1028 1030 986 1006 1016 1015 986 981 1 2 3 995 981 991 991 1025 1028 1001 1012 1015 1002 972 1007 1017 995 1002 1002 1013 995 1023 988 1020 1019 998 1020 985 4 1013 985 1005 991 1014 975 975 1004 1003 1013 1011 1002 987 980 1008 1020 1005 1004 8 10 11 12 13 14 15 1014 1015 a. 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 6 8 10 11 12 13 14 15 b. Determine X and R. (Round your answers to 3 decimal places.)

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 READINGS (IN OHMS) 1016 1024 990 1018 1030 1016 992 1028 1030 986 1006 1016 1015 986 981 1 2 3 995 981 991 991 1025 1028 1001 1012 1015 1002 972 1007 1017 995 1002 1002 1013 995 1023 988 1020 1019 998 1020 985 4 1013 985 1005 991 1014 975 975 1004 1003 1013 1011 1002 987 980 1008 1020 1005 1004 8 10 11 12 13 14 15 1014 1015 a. 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 6 8 10 11 12 13 14 15 b. Determine X and R. (Round your answers to 3 decimal places.)

Practical Management Science
Practical Management Science
6th Edition
ISBN:9781337406659
Author:WINSTON, Wayne L.
Publisher:WINSTON, Wayne L.
Chapter2: Introduction To Spreadsheet Modeling
Section: Chapter Questions
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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. 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) 991 991 1025 972 1013 985 1011 1002 987 980 1008 1020 NUMBER 1 2 1016 1024 990 1018 1030 1016 992 1028 1030 986 1006 1016 1015 986 981 995 981 1015 1002 1007 1017 1005 1028 1001 1012 995 1002 1002 1013 995 1023 988 1020 1019 6 7 8 9 10 11 12 991 1014 975 975 1004 1003 1013 1014 1005 1004 1015 13 998 14 15 1020 985 a. 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 X and R. (Round your answers to 3 decimal places.) R
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) 991 991 1025 972 1013 985 1011 1002 987 980 1008 1020 NUMBER 1 2 1016 1024 990 1018 1030 1016 992 1028 1030 986 1006 1016 1015 986 981 995 981 1015 1002 1007 1017 1005 1028 1001 1012 995 1002 1002 1013 995 1023 988 1020 1019 6 7 8 9 10 11 12 991 1014 975 975 1004 1003 1013 1014 1005 1004 1015 13 998 14 15 1020 985 a. 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 X and R. (Round your answers to 3 decimal places.) R
c. Determine the UCL and LCL for a Xchart. (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 e. What comments can you make about the process? O The process is in statistical control. O The process is out of statistical control.
Transcribed Image Text:c. Determine the UCL and LCL for a Xchart. (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 e. What comments can you make about the process? O The process is in statistical control. O The process is out of statistical control.
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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. 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.

c. Determine the UCL and LCL for a X−X− chart. (Round your answers to 3 decimal places.)

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.)

SAMPLE NUMBER 1 234567890112 13 14 15 READINGS (IN OHMS) 1019 1009 998 1014 984 Sample Number 1014 989 1020 985 976 1021 983 1011 990 983 982 1017 971 973 1010 1001 994 979 999 983 1002 1008 976 995 1002 1005 1001 1000 1018 984 1003 1012 1021 996 1006 988 978 978 1015 1002 1030 Mean 988 970 974 1027 1006 1011 991 980 986 1023 1006 989 990 1030 a. Calculate the mean and range for the above samples. (Round "Mean" to 2 decimal places and "Range" to the nearest whole number.) Range
Transcribed Image Text:SAMPLE NUMBER 1 234567890112 13 14 15 READINGS (IN OHMS) 1019 1009 998 1014 984 Sample Number 1014 989 1020 985 976 1021 983 1011 990 983 982 1017 971 973 1010 1001 994 979 999 983 1002 1008 976 995 1002 1005 1001 1000 1018 984 1003 1012 1021 996 1006 988 978 978 1015 1002 1030 Mean 988 970 974 1027 1006 1011 991 980 986 1023 1006 989 990 1030 a. Calculate the mean and range for the above samples. (Round "Mean" to 2 decimal places and "Range" to the nearest whole number.) Range
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