$12-3.$ The specification limits for the length of a meter stick are $1000+-0\mathrm{.}5mm.$ To understand if the manufacturing process is in control, once every hour the lengths of five

meter sticks are measured. Samples from the last $16$ hours of production are provided in the table below.

a$.$ Construct an appropriate control chart. Does the process appear to be in control?

b$.$ Does the process appear to be meeting customer specifications?

c$.$ What is $($are$)$ your recommended action$($s$)$ for this process?