NUMBER OBSERVATIONS

$\backslash$table$[[($K$),$G$,$G$,$G$,$a$,R_{?},,,,],[1,5\mathrm{.}05,5\mathrm{.}04,5\mathrm{.}02,5\mathrm{.}13,5\mathrm{.}35,5\mathrm{.}11,5\mathrm{.}09,5\mathrm{.}11,0\mathrm{.}33],[2,5\mathrm{.}02,5\mathrm{.}21,5\mathrm{.}05,5\mathrm{.}14,5\mathrm{.}20,5\mathrm{.}12,5\mathrm{.}10,5\mathrm{.}12,0\mathrm{.}19],[3,5\mathrm{.}10,4\mathrm{.}97,5\mathrm{.}14,5\mathrm{.}00,5\mathrm{.}30,5\mathrm{.}55,4\mathrm{.}85,5\mathrm{.}13,0\mathrm{.}70],[4,5\mathrm{.}03,4\mathrm{.}86,5\mathrm{.}22,5\mathrm{.}14,5\mathrm{.}50,5\mathrm{.}85,5\mathrm{.}08,5\mathrm{.}24,0\mathrm{.}99],[5,4\mathrm{.}88,5\mathrm{.}03,5\mathrm{.}35,4\mathrm{.}89,5\mathrm{.}60,5\mathrm{.}44,5\mathrm{.}30,5\mathrm{.}21,0\mathrm{.}72]]$

Required:

$($a$)$ Compute the upper and lower control limits for the R$-$chart. Then state whether the process is in control. You need not plot the data. Hint: Make sure you select$/$identify the correct sample size. Also, compute R$-$bar first!

$($b$)$ Compute the UCL$/$LCL values for $x-$bar chart. Then, jusmoy observation, state if the process appears to be in control and state why you believe so$.$

Factors for Determining Control Limits of X$-$bar$-$ and R$-$charts.

Sample For $X-$

Size bar ${?}_{(})$

chart

For R $-$ chart