Q$2(50$ points$).$ Using the Excel Software and Minitab software,

$($a$)$ Construct the X bar$-$R charts. Are there any points outside the control limits$?$

$($b$)$ Construct the X bar$-$S charts. Are there any points outside the control limits$?$

$\backslash$table$[[\backslash$table$[[$Subsets$],[($Various$],[$Samples$)]],\backslash$table$[[$Observation$],[1]],\backslash$table$[[$Observation$],[2]],\backslash$table$[[$Observation$],[3]],\backslash$table$[[$Observation$],[4]],\backslash$table$[[$Observation$],[5]]],[1,0\mathrm{.}4772,0\mathrm{.}4804,0\mathrm{.}4779,0\mathrm{.}4719,0\mathrm{.}4777],[2,0\mathrm{.}4756,0\mathrm{.}4787,0\mathrm{.}4733,0\mathrm{.}4742,0\mathrm{.}4734],[3,0\mathrm{.}4756,0\mathrm{.}4773,0\mathrm{.}4722,0\mathrm{.}4760,0\mathrm{.}4745],[4,0\mathrm{.}4744,0\mathrm{.}4780,0\mathrm{.}4754,0\mathrm{.}4774,0\mathrm{.}4774],[5,0\mathrm{.}4802,0\mathrm{.}4726,0\mathrm{.}4748,0\mathrm{.}4758,0\mathrm{.}4744],[6,0\mathrm{.}4783,0\mathrm{.}4807,0\mathrm{.}4791,0\mathrm{.}4762,0\mathrm{.}4757],[7,0\mathrm{.}4747,0\mathrm{.}4766,0\mathrm{.}4753,0\mathrm{.}4758,0\mathrm{.}4767],[8,0\mathrm{.}4788,0\mathrm{.}4750,0\mathrm{.}4784,0\mathrm{.}4769,0\mathrm{.}4762],[9,0\mathrm{.}4757,0\mathrm{.}4747,0\mathrm{.}4741,0\mathrm{.}4746,0\mathrm{.}4747],[10,0\mathrm{.}4713,0\mathrm{.}4730,0\mathrm{.}4710,0\mathrm{.}4705,0\mathrm{.}4727],[11,0\mathrm{.}4716,0\mathrm{.}4730,0\mathrm{.}4752,0\mathrm{.}4735,0\mathrm{.}4751],[12,0\mathrm{.}4746,0\mathrm{.}4727,0\mathrm{.}4763,0\mathrm{.}4734,0\mathrm{.}4730],[13,0\mathrm{.}4749,0\mathrm{.}4762,0\mathrm{.}4778,0\mathrm{.}4787,0\mathrm{.}4771],[14,0\mathrm{.}4771,0\mathrm{.}4767,0\mathrm{.}4785,0\mathrm{.}4772,0\mathrm{.}4765],[15,0\mathrm{.}4771,0\mathrm{.}4758,0\mathrm{.}4769,0\mathrm{.}4770,0\mathrm{.}4771],[16,0\mathrm{.}4767,0\mathrm{.}4769,0\mathrm{.}4770,0\mathrm{.}4794,0\mathrm{.}4786]]$