A machine has a standard deviation of $0\mathrm{.}117mm$ and a specification of $18\mathrm{.}0\frac{+}{-}0\mathrm{.}57mm$ to make holes that need to be drilled into an electrical panel.

Please calculate the process capability ratio, $Cp$

A$.1\mathrm{.}53$

B$.1\mathrm{.}26$

C$.1\mathrm{.}62$

D$.9\mathrm{.}2$

Is the process capable?

A Yes

B$.$ No

C$.$ It really depends on the reputation of the electrical panel manufacturer

D$.$ Only if the $Cp$ is less than $1$

If the machine tooling wears and the standard deviation becomes larger at a rate of $0\mathrm{.}001mm$ per hole, how many holes can be drilled before the process becomes incapable? Please round to $2$ decimal places when solving for process capability and $3$ decimal places when solving for standard deviation.

A$.1$ hole

B$.3$ holes

C$.13$ holes

D$.26$ holes

If new machine tooling is installed, what would happen to $Cp,$ the process capability ratio?

A$.$ It would decrease

B$.$ It would vary substantially

C$.$ It would stay the same

D$.$ It would increase

$5.)$ If the machine tooling continues to wear and you were plotting a control chart,

A$.$ You would discover nothing wrong

B$.$ You would discover a non$-$random pattern which could be identified

C$.$ You would use a P type control chart for Attributes

You would use a C type control chart for Attributes