Required information

The quality$-$control plan for a certain production process involves taking samples of size $4.$The results from the last $30\mathrm{.}00$

samples can be summarized as follows:

$$i$=130\mathrm{.}00$x$$i$=712\mathrm{.}5,$i$=130\mathrm{.}00$Ri$=143\mathrm{.}7,$i$=130\mathrm{.}00$si$=62\mathrm{.}5$

Compute the $3\backslash$sigma $$control limits for the S $$chart$.($Round the final answer to three decimal places.$)$

The LCL $$is

The UCL is