$1.$ A process that has been brought in$-$control using control charts has a process average of Xbar $=35$ and Rbar$/$d $=0\mathrm{.}92.$ If the specification for the process calls for values between $33$ and $41,$ calculate the capability index Cp for this process in its present condition.

$2.$ A process that has been brought in$-$control using control charts has a process average of Xbar $=35$ and Rbar$/$d $=0\mathrm{.}92.$ If the specification for the process calls for values between $33$ and $41,$ calculate the capability index Cpk for this process in its present condition.

$3.$ The Cpk is a superior index for measuring the capability of a process because it includes process $\_\_\_\_\_\_\_\_\_.$

$4.$ True$/$False: Cpk is always equal to or less than Cp$.$

$5.$ True$/$False: Cpk can be a negative value.

$6.$ Cp $=$ Cpk when $\_\_\_\_\_\_\_\_\_\_\_\_\_\_.$

$7.$ Draw two pictures based on the following, it can be hand drawn or a digital picture $($attach the file to this question $-$ WORD, PowerPoint or PDF$)$:

A process has been brought in$-$control using control charts. If the specification for the process calls for values between $33$ and $41,$ Draw the graphs$/$pictures below. The LSL is $33$ and the USL is $41.$

$$ Picture #$1$: Draw the capability plot with respect to the LSL and USL assuming you are only given the value of Cp that you got in question #$1.$ Include appropriate labels for what you show in your drawing. $($E$.$g$.$ LSL$,$ USL and Cp value$)$

$$ Picture #$2$: Draw the capability plot with respect to the LSL and USL assuming you are only given the value of Xbar in question #$2$ and the Cpk that you got in question #$2.$ Include appropriate labels for what you show in your drawing.