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.

$\backslash$table$[[$Sample$,$Obs. $1,$Obs. $2,$Obs. $3,$Obs. $4,$Obs. $5],[1,125,126,122,132,114],[2,130,100,140,121,125],[3,110,155,129,118,142]]$

a$)$ What is the value of $\frac{?}{\text{b}\text{a}\text{r}}(\stackrel{}{x})?$

$\frac{?}{\text{b}\text{a}\text{r}}(\stackrel{}{x})=$ seconds $($round your response to three decimal places$).$

b$)$ What is the value of $\frac{?}{\text{b}\text{a}\text{r}}(R)?$

$\frac{?}{\text{b}\text{a}\text{r}}(R)=$ seconds $($round your response to three decimal places$).$

c$)$ What are the $UC{L}_{x^{}}$ and $LC{L}_x^{-}?$

Upper Control Limit $(UC{L}_{\stackrel{}{x}})=$ seconds $($round your response to three decimal places$).$

Lower Control Limit $(LC{L}_{\frac{?}{\text{b}\text{a}\text{r}}(-)})=,$ seconds $($round your response to three decimal places$).$

d$)$ What are the $UC{L}_R$ and $LC{L}_R?$

Upper Control Limit $(UC{L}_R)=$ seconds $($round your response to three decimal places$).$

Lower Control Limit $(LC{L}_R)=$ seconds $($round your response to three decimal places$).$

e$)$ Is the process in control?

Yes.

No$.$