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 $8\mathrm{.}000$plus or minus$3\mathrm{.}000$ 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.

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Part $2$

The process capability$$ index, Upper C Subscript pk$,$ is equal to

$$

$1\mathrm{.}415.($Enter your response rounded to three decimal$$ places.$)$

Part $3$

Assume that the process is in statistical control. Is the process capable of producing the part at the three$-$sigma $$level$?$ Explain.

Since Upper C Subscript p equals

$$

$.936,$ the process

is capable