Refer to the Control Chart Factor in your lecture notes for this problem.

A quality inspector took the following samples of the length of time$($in seconds$)$ for glue to dry. Please round your calculations to three decimal places.

Sample

Obs. $1$

Obs. $2$

Obs. $3$

Obs. $4$

Obs. $5$

$1$

$125125$

$126126$

$122122$

$132132$

$114114$

$2$

$130130$

$100100$

$140140$

$121121$

$125125$

$3$

$110110$

$155155$

$129129$

$118118$

$142142$

$$

$$

$$a$)$ What is the value of x double overbarx$?$

x double overbarxequals$=$enter your response here seconds $($round your response to three decimal$$ places$).$

$$b$)$ What is the value of Upper R overbarR$?$

Upper R overbarRequals$=$enter your response here seconds $($round your response to three decimal$$ places$).$

$$c$)$ What are the UCL Subscript x overbarUCLx and LCL Subscript x overbarLCLx$?$

Upper Control Limit $($UCL Subscript x overbarUCLx$)=$ enter your response here seconds $($round your response to three decimal$$ places$).$

Lower Control Limit $($LCL Subscript x overbarLCLx$)=$ enter your response here seconds $($round your response to three decimal$$ places$).$

$$d$)$ What are the UCL Subscript Upper RUCLR and LCL Subscript Upper RLCLR$?$

Upper Control Limit $($UCL Subscript Upper RUCLR$)=$ enter your response here seconds $($round your response to three decimal$$ places$).$

Lower Control Limit $($LCL Subscript Upper RLCLR$)=$ enter your response here seconds $($round your response to three decimal$$ places$).$

$$e$)$Is the process in$$ control?

Yes.

No$.$