The diameter is a critical factor Data from $5$ samples are shown in the table belowSample NoBar $1$Bar $2$Bar $3$Bar $410\mathrm{.}1410\mathrm{.}2210\mathrm{.}0910\mathrm{.}27210\mathrm{.}2110\mathrm{.}4110\mathrm{.}2410\mathrm{.}2310\mathrm{.}1810\mathrm{.}2610\mathrm{.}3510\mathrm{.}23410\mathrm{.}0810\mathrm{.}3410\mathrm{.}2410015510\mathrm{.}4110\mathrm{.}5610\mathrm{.}3410\mathrm{.}47($a$)$ Compute the center line as well as the control limits for the X Bar chart