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 8.000plus or minus±3.000 millimeters. Management is concerned about the capability of the process to produce that part. The accompanying data were randomly collected during test runs of the process.
The process capability? index, Cpk?, is equal to ???
Observation (millimeters)
Sample 1 2 3 4 5 6 7 8
1 8.800 10.100 9.000 7.800 7.100 8.200 9.200 7.800
2 9.800 8.900 8.600 8.700 9.800 9.200 7.200 8.400
3 7.000 7.800 7.700 8.800 9.900 8.300 7.100 7.100
4 8.000 9.100 9.100 7.500 9.900 9.200 7.700 9.100
5 7.500 7.300 9.900 9.300 8.200 9.800 7.500 8.900