$(10\%)$ A manufacturing process is monitored using $\stackrel{}{x}$ and $R$ charts. Six sample of $n=5$ observations have been gathered with the following results:

$\backslash$table$[[$Sample$,,],[1,$Mean,Range$],[3,4\mathrm{.}2,0\mathrm{.}43],[4,4\mathrm{.}4,0\mathrm{.}52],[5,3\mathrm{.}6,0\mathrm{.}53],[6,3\mathrm{.}8,0\mathrm{.}20],[,4\mathrm{.}9,0\mathrm{.}36],[$Th$,3\mathrm{.}0,0\mathrm{.}42]]$