Jimmy, president of Giles Fruit and Nuts, wants to evaluate if their nut bar machine is functioning properly and appropriately placing the correct weight of nuts in each bar. Jimmy measures the weight of each bar during the course of a production day. Calculate the UCL and LCL for both the R and X$-$bar chart. The data is as follows:

Question $6(25$ points$)$

What is the UCL for the R chart?

Question $6$ options:

$2\mathrm{.}30$

$8\mathrm{.}92$

$7\mathrm{.}05$

$7\mathrm{.}27$

$8\mathrm{.}61$

$1\mathrm{.}80$

$2\mathrm{.}70$