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 accompanying data were randomly collected during test runs of the process. Observation (millimeters)
Sample 1 2 3 4 5 6 7 8
1 7.400 8.400 9.200 8.400 8.300 9.900 9.300 8.900
2 8.000 7.900 7.900 8.900 8.200 8.800 9.300 9.200
3 9.200 8.700 8.700 7.600 9.600 8.500 9.400 8.300
4 9.700 8.600 9.000 9.200 9.600 7.100 9.500 9.500
5 8.900 9.300 7.100 8.900 7.400 7.000 9.900 8.800
The process capability​ index, Cpk​, is equal to ​(Enter your response rounded to three decimal​places.)
Assume that the process is in statistical control. Is the process capable of producing the part at the four​-sigma ​level? Explain.
Since Cp equals the process is:
(a)not capable because there are too many parts outside of the allowable tolerances/b)is not capable because the process is not centered correctly/c)is capableb?