Click the icon to view the sample data.

Click the icon to view the table of factors for calculating three$-$sigma limits for the $\stackrel{}{x}-$chart and R $-$chart.

Design an R$-$ and an $\stackrel{}{x}-$chart for this process.

The $UC{L}_R$ equals ounces and the $LC{L}_R$ equals ounces. $($Enter your responses rounded to three decimal places.$)$

Data Table

$\backslash$table$[[$Bottle$],[$Sample$,1,2,3,4],[1,11\mathrm{.}89,11\mathrm{.}88,11\mathrm{.}93,12\mathrm{.}05],[2,12\mathrm{.}04,11\mathrm{.}91,11\mathrm{.}91,11\mathrm{.}98],[3,12\mathrm{.}04,12\mathrm{.}11,11\mathrm{.}88,12\mathrm{.}08],[4,11\mathrm{.}93,11\mathrm{.}94,12\mathrm{.}06,12\mathrm{.}10],[5,11\mathrm{.}94,12\mathrm{.}01,12\mathrm{.}05,12\mathrm{.}04],[6,11\mathrm{.}91,12\mathrm{.}07,11\mathrm{.}95,12\mathrm{.}12],[7,11\mathrm{.}88,12\mathrm{.}09,11\mathrm{.}88,11\mathrm{.}91],[8,11\mathrm{.}98,11\mathrm{.}88,12\mathrm{.}05,12\mathrm{.}13],[9,12\mathrm{.}08,11\mathrm{.}93,12\mathrm{.}13,11\mathrm{.}95],[10,11\mathrm{.}93,12\mathrm{.}12,12\mathrm{.}01,11\mathrm{.}99],[11,12\mathrm{.}14,12\mathrm{.}13,11\mathrm{.}99,12\mathrm{.}12],[12,12\mathrm{.}05,12\mathrm{.}08,12\mathrm{.}06,11\mathrm{.}91],[13,11\mathrm{.}99,11\mathrm{.}91,12\mathrm{.}02,12\mathrm{.}09],[14,11\mathrm{.}90,12\mathrm{.}12,12\mathrm{.}02,11\mathrm{.}96],[15,12\mathrm{.}06,11\mathrm{.}95,11\mathrm{.}99,12\mathrm{.}08]]$