Thirty$-$five samples of size $7$ each were taken from a$$ fertilizer$-$bag$-$filling machine at Panos Kouvelis Lifelong Lawn Ltd$.$ The results$$ were: Overall mean$=57\mathrm{.}75$lb$.$; Average range R $=1\mathrm{.}78$ lb$.$

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

Part $2$

Upper Control Limit $($UCLx$)=$ enter your response here lb$.($round your response to three decimal$$ places$).$