For the given$$ data, the x double overbar $=$

$$

$12\mathrm{.}20$ inches $($round your response to four decimal$$ places$).$

Part $3$

Based on the sampling$$ done, the control limits for $3-$sigma x overbar chart$$ are:

Upper Control Limit $($UCL Subscript x overbar$)=$

$$

$12\mathrm{.}2271$ inches $($round your response to four decimal$$ places$).$

Part $4$

Lower Control Limit $($LCL Subscript x overbar$)=$

$$

$12\mathrm{.}1746$ inches $($round your response to four decimal$$ places$).$

Part $5$

Based on the x overbar$-$chart, is one or more samples beyond the control$$ limits$?$

No

$.$

Part $6$

For the given$$ data, the Upper R overbar $=$

$$

enter your response here inches $($round your response to four decimal$$ places$).$