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:

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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Sample 1 2 3 4 5 6 7 8 19.100 8900 8.800 9200 8.100 6.900 9.300 9.100 27600 8.000 9.000 10.100 7.900 9000 8 8800 3 8:200 9100 8200 8.700 9000 7.00 8.800 10800 48.200 8.300 7900 7.500 8.900 7800 10.100 7.700 5 10.000 8100 890 9000 9.300 9.000 8700 10.000