The overall average on a process you are attempting to monitor is $50\mathrm{.}0$ units. The process population standard deviation is $1\mathrm{.}72.$ Sample size is given to be $16.$

Part $2$

$$a$)$ Determine the $3-$sigma x overbar$-$chart control limits$.$

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

$$

enter your response here units $($round your response to two decimal$$ places$).$

Part $3$

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

$$

enter your response here units $($round your response to two decimal$$ places$).$

Part $4$

$$b$)$ Now determine the $2-$sigma x overbar$-$chart control limits$.$

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

$$

enter your response here units $($round your response to two decimal$$ places$).$

Part $5$

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

$$

enter your response here units $($round your response to two decimal$$ places$).$