Name: $\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_$

QualiTech Inc. needs help in calculating its process capability indices. For a specific item, the

lower and upper specification limits are $6\mathrm{.}1$ and $6\mathrm{.}6,$ respectively. The mean is $6\mathrm{.}3$ and the

standard deviation is $0\mathrm{.}04.$

$1.$ What is the process capability index for the lower specification limit$?$ Show your work.

$2.$ What is the Cpk statistic for the upper specification limit$?$ Show your work.

$3.$ Which of the following interpretations of the results from questions $1$ and $2$ is correct?

Highlight your answer.

A$.$ The item measures exceed the upper specification limit more often than deemed

acceptable.

B$.$ The process capability index values suggest that there are no quality concerns.

C$.$ The Cpk statistics indicate that the item measures are too large and too small more often

than deemed acceptable.

D$.$ The item measures fall within specification limits more often than deemed acceptable.

E$.$ The item measures fall below the lower specification limit more often than deemed

acceptable.