Refer to

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

LOADING...

for this problem.

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

$=$

$1\mathrm{.}54$

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$).$

Part $3$

Lower Control Limit

$($LCLx$)$

$=$

enter your response here

lb$.($round your response to three decimal places$).$

Part $4$

b$)$ The control limits for the $3-$sigma R$-$chart are:

Part $5$

Upper Control Limit

$($UCLR$)$

$=$

enter your response here

lb$.($round your response to three decimal places$).$

Part $6$

Lower Control Limit

$($LCLR$)$

$=$

enter your response here

lb$.($round your response to three decimal places$).$