Solve

Four samples of three observations each have been taken, with actual measurements $($ in centimeters $)$ ?shown below.

Required

Construct three $-$ sigma Mean chart and Range chart.

Use median run test to determine if assignable causes of variation are present.

Find the process capability of the process, given that the standard deviation is $5\%,$ ?USL $=13\mathrm{.}8$ ?and $LSL=13\mathrm{.}2.$

$\backslash$ table $[[$ Samples $],[1,2,3,4,],[12\mathrm{.}3,11\mathrm{.}9,12\mathrm{.}0,12\mathrm{.}1,],[12\mathrm{.}2,12\mathrm{.}2,12\mathrm{.}2,11\mathrm{.}8,],[12\mathrm{.}1,12\mathrm{.}2,11\mathrm{.}8,11\mathrm{.}8,]]$