At Adam Kay's factory, the inspectors took twelve samples of steel rods, each containing six rods. They measured the length of each rod, and calculated the sample means and ranges:

The sample size $(n)$ of this case is

For the given data, the $\frac{?}{\text{b}\text{a}\text{r}}(\stackrel{}{x})=,$ inches $($round your response to four decimal places$).$

Based on the sampling done, the control limits for $\stackrel{}{x}-$chart are:

Upper Control Limit $(UC{L}_{\frac{?}{\text{b}\text{a}\text{r}}()})=,$ inches $($round your response to four decimal places$).$

Lower Control Limit $(LC{L}_{\stackrel{}{x}})=,$ inches $($round your response to four decimal places$).$

Based on the $\stackrel{}{x}-$chart, is one or more samples beyond the control limits$?$

For the given data, the $\frac{?}{\text{b}\text{a}\text{r}}(R)=,$ inches $($round your response to four decimal places$).$

The control limits for the R$-$chart are:

Upper Control Limit $(UC{L}_R)=,$ inches $($round your response to four decimal places$).$

Lower Control Limit $(LC{L}_R)=,$ inches $($round your response to four decimal places$).$

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