Refer to Table S$6\mathrm{.}1-$ Factors for Computing Control Chart Limits $(3$ sigma$)$LOADING$...$ for this problem.

$$Thirty$-$five samples of size each were taken from a$$ fertilizer$-$bag$-$filling machine at Panos Kouvelis Lifelong Lawn Ltd$.$ The results$$ were: Overall mean$=$lb$.$; Average range $=$ lb$.$

$$a$)$ For the given sample$$ size, the control limits for $3-$sigma chart $$are: