thirty samples taken over the period for a shift worker, during an assembly line process used a sample size of $6($n$=6)$ each time samples were taken. the inspector was measuring the distance between bolt circles on a frame. the overall mean was calculated to be $14\mathrm{.}6$ inches and the average range was determined to be $0\mathrm{.}8$ inches. compute the upper and lower control limits for x$-$bar and r$-$charts. use the control limit chart to determine factors required to complete the control chart formulas.