$1.$ What do control limits represent? What do specification limits represent? Describe the $2$ cases that compare specification limits to control limits$.$

$2.$ Describe the relationship between averages and individuals in terms of specification limits and control limits$.$

$3.$ Why can a process be in control but not be capable of meeting specifications?

Note: Look at the table, Appendix $2$ of the textbook to find values for d$2.$ You will need to know the

sample size in order to find the correct value of d$2$ on the table. Problems $4$ & $5$ go together, due to a typo. It has already been worked out for you as an example.

$4.$ A hospital is using X$-$bar and R charts to record the time it takes to process patient account information. A sample of $5$ applications is taken each day. The first $4$ weeks$(20$ days$)$ data give the following values:

X$-$bar$-$bar $=16$ min R$-$bar $=7$ min