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±3.0003.000 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 9.600 7.200 9.300 8.100 9.800 8.700 8.600 9.300 2 8.500 9.000 9.100 8.000 7.600 8.400 7.800 9.800 3 7.500 8.500 8.600 7.900 7.700 9.000 7.100 7.400 4 7.100 8.100 9.700 9.300 8.200 8.800 7.700 9.000 5 9.500 9.100 9.300 7.000 8.300 7.300 7.400 9.800 a. The process capability​ index, Cpk​, is equal to_______. (Enter your response rounded to three decimal​ places.

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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

8.000plus or minus±3.0003.000

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 9.600 7.200 9.300 8.100 9.800 8.700 8.600 9.300
2 8.500 9.000 9.100 8.000 7.600 8.400 7.800 9.800
3 7.500 8.500 8.600 7.900 7.700 9.000 7.100 7.400
4 7.100 8.100 9.700 9.300 8.200 8.800 7.700 9.000
5 9.500 9.100 9.300 7.000 8.300 7.300 7.400 9.800

a. The process capability​ index, Cpk​, is equal to_______.

(Enter your response rounded to three decimal​ places.

 

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