The Farley Manufacturing Company prides itself on the quality of its products. The company is engaged in competition for a very important project. A key element is a part that ultimately goes into precision testing equipment. The specifications are 8.000 ± 3.000 millimeters. Management is concerned about the capability of the process to produce that part. The following data (shown below) were randomly collected during test runs of the process: Observation (Millimeters) Sample 1 2 3 4 5 6 7 8 1 9.100 8.900 8.800 9.200 8.100 6.900 9.300 9.100 2 7.600 8.000 9.000 10.100 7.900 9.000 8.000 8.800 3 8.200 9.100 8.200 8.700 9.000 7.000 8.800 10.800 4 8.200 8.300 7.900 7.500 8.900 7.800 10.100 7.700 5 10.000 8.100 8.900 9.000 9.300 9.000 8.700 10.000 Assume that the process is in statistical control. Is the process capable of producing the part at the three-sigma level? Explain.
The Farley Manufacturing Company prides itself on the quality of its products. The company is engaged in competition for a very important project. A key element is a part that ultimately goes into precision testing equipment. The specifications are 8.000 ± 3.000 millimeters. Management is concerned about the capability of the process to produce that part. The following data (shown below) were randomly collected during test runs of the process: Observation (Millimeters) Sample 1 2 3 4 5 6 7 8 1 9.100 8.900 8.800 9.200 8.100 6.900 9.300 9.100 2 7.600 8.000 9.000 10.100 7.900 9.000 8.000 8.800 3 8.200 9.100 8.200 8.700 9.000 7.000 8.800 10.800 4 8.200 8.300 7.900 7.500 8.900 7.800 10.100 7.700 5 10.000 8.100 8.900 9.000 9.300 9.000 8.700 10.000 Assume that the process is in statistical control. Is the process capable of producing the part at the three-sigma level? Explain.
Practical Management Science
6th Edition
ISBN:9781337406659
Author:WINSTON, Wayne L.
Publisher:WINSTON, Wayne L.
Chapter2: Introduction To Spreadsheet Modeling
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The Farley Manufacturing Company prides itself on the quality of its products. The company is engaged in competition for a very important project. A key element is a part that ultimately goes into precision testing equipment. The specifications are 8.000 ± 3.000 millimeters. Management is concerned about the capability of the process to produce that part. The following data (shown below) were randomly collected during test runs of the process:
| Observation (Millimeters) | ||||||||
| Sample | 1 | 2 | 3 | 4 | 5 | 6 | 7 | 8 |
| 1 | 9.100 | 8.900 | 8.800 | 9.200 | 8.100 | 6.900 | 9.300 | 9.100 |
| 2 | 7.600 | 8.000 | 9.000 | 10.100 | 7.900 | 9.000 | 8.000 | 8.800 |
| 3 | 8.200 | 9.100 | 8.200 | 8.700 | 9.000 | 7.000 | 8.800 | 10.800 |
| 4 | 8.200 | 8.300 | 7.900 | 7.500 | 8.900 | 7.800 | 10.100 | 7.700 |
| 5 | 10.000 | 8.100 | 8.900 | 9.000 | 9.300 | 9.000 | 8.700 | 10.000 |
Assume that the process is in statistical control. Is the process capable of producing the part at the three-sigma level? Explain.
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