Six samples of five observations each have been taken of $80kg$ concrete slabs produced by a machine, and the results are displayed below.

$\backslash$table$[[$Sample$],[1,2,3,4,5,6,],[79\mathrm{.}2,80\mathrm{.}5,79\mathrm{.}6,78\mathrm{.}9,80\mathrm{.}5,79\mathrm{.}7,],[78\mathrm{.}8,78\mathrm{.}7,79\mathrm{.}4,79\mathrm{.}4,79\mathrm{.}6,80\mathrm{.}6,],[80\mathrm{.}0,81\mathrm{.}0,80\mathrm{.}4,79\mathrm{.}7,80\mathrm{.}4,80\mathrm{.}5,],[78\mathrm{.}4,80\mathrm{.}4,80\mathrm{.}3,79\mathrm{.}4,80\mathrm{.}8,80\mathrm{.}0,],[81\mathrm{.}0,80\mathrm{.}1,80\mathrm{.}8,80\mathrm{.}6,78\mathrm{.}8,81\mathrm{.}1,]]$

a$-1.$ Using factors from Table $10-3,$ determine the upper and lower control limits for sample mean and range. $($Do not leave any empty spaces; Input a $0$ wherever it is requlred. Round your Intermedlate calculatlons and final answers to $2$ decimal places.$)$

Mean control limits

Range control limits

a$-2.$ Decide if the process is in control.

Process is in control.

Process is not in control.

b$.$ A new sample results in the following slab weights: $81\mathrm{.}0,81\mathrm{.}0,80\mathrm{.}8,80\mathrm{.}6,$ and $80\mathrm{.}5.$ Use the control IImits determined In part a to decide if the process is still In control.

Process Is In control.

Process is not in control.