…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. You may use MS Excel or a spreadsheet app to calculate your answers. Answer questions “b”, “c”, “d” and “e” below.
| SAMPLE NUMBER | READINGS (IN OHMS) | ||||
| 1 | 992 | 992 | 1000 | 1027 | |
| 2 | 978 | 994 | 985 | 1018 | |
| 3 | 1021 | 998 | 1018 | 994 | |
| 4 | 974 | 1022 | 999 | 1026 | |
| 5 | 1000 | 1012 | 1030 | 991 | |
| 6 | 974 | 987 | 985 | 987 | |
| 7 | 1005 | 973 | 1011 | 1001 | |
| 8 | 983 | 1024 | 1012 | 977 | |
| 9 | 990 | 1004 | 973 | 999 | |
| 10 | 990 | 1018 | 1024 | 1001 | |
| 11 | 998 | 976 | 1029 | 980 | |
| 12 | 1024 | 1020 | 1020 | 976 | |
| 13 | 1026 | 1018 | 1029 | 971 | |
| 14 | 982 | 979 | 982 | 989 | |
| 15 | 991 | 988 | 980 | 994 | |
b.Determine X=X= and R-R- . (Round your answers to 3 decimal places.)
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.)
e.What comments can you make about the process?
multiple choice
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Process is in statistical control
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Process is out of statistical control
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