QUESTION $2$ Construct a $3-$sigma x$-$bar chart for the length in centimeters of a part from the following table. What is the upper control limit$?[[[[$Sample$],[$#$]],$Observation $1,$Observation $2,$Observation $3,$Observation $4],[1,0\mathrm{.}486,0\mathrm{.}499,0\mathrm{.}493,0\mathrm{.}511],[2,0\mathrm{.}499,0\mathrm{.}506,0\mathrm{.}516,0\mathrm{.}494],[3,0\mathrm{.}496,0\mathrm{.}5,0\mathrm{.}515,0\mathrm{.}488],[4,0\mathrm{.}495,0\mathrm{.}506,0\mathrm{.}483,0\mathrm{.}487],[5,0\mathrm{.}472,0\mathrm{.}502,0\mathrm{.}526,0\mathrm{.}469],[6,0\mathrm{.}473,0\mathrm{.}495,0\mathrm{.}507,0\mathrm{.}493],[7,0\mathrm{.}495,0\mathrm{.}512,0\mathrm{.}49,0\mathrm{.}471],[8,0\mathrm{.}525,0\mathrm{.}501,0\mathrm{.}498,0\mathrm{.}474],[9,0\mathrm{.}497,0\mathrm{.}501,0\mathrm{.}517,0\mathrm{.}506],[10,0\mathrm{.}495,0\mathrm{.}505,0\mathrm{.}516,0\mathrm{.}511]]0\mathrm{.}5090\mathrm{.}5220\mathrm{.}475$