Whole Grains LLC uses statistical process control to ensure that its$$ health$-$conscious, low$-$fat, multigrain sandwich loaves have the proper weight.

Based on a previously stable and$$ in$-$control process, the control limits of the x overbarx$-$ and$$ R$-$charts are:

UCL Subscript x overbarUCLxequals$=6\mathrm{.}566\mathrm{.}56,$ LCL Subscript x overbarLCLxequals$=5\mathrm{.}845\mathrm{.}84$;

UCL Subscript Upper RUCLRequals$=1\mathrm{.}1411\mathrm{.}141,$ LCL Subscript Upper RLCLRequals$=00.$

Over the past few$$ days, it has taken five random samples of four loaves each and have found the results provided.

Part $2$

Based on the x overbarx$-$ chart LOADING... $,$ is one or more samples beyond the control$$ limits$?$

$$

No

Yes

$.$

Part $3$

Based on the R$-$chart LOADING... $,$ is one or more samples beyond the control$$ limits$?$

$$

Yes

No

$.$

$.$

$.$

$.$

Question content area right

Part $1$

Net Weight

Sample

Loaf$$ # $1$

Loaf$$ # $2$

Loaf$$ # $3$

Loaf$$ # $4$

$1$

$6\mathrm{.}36\mathrm{.}3$

$6\mathrm{.}06\mathrm{.}0$

$5\mathrm{.}95\mathrm{.}9$

$5\mathrm{.}95\mathrm{.}9$

$2$

$6\mathrm{.}06\mathrm{.}0$

$6\mathrm{.}06\mathrm{.}0$

$6\mathrm{.}36\mathrm{.}3$

$5\mathrm{.}95\mathrm{.}9$

$3$

$6\mathrm{.}36\mathrm{.}3$

$4\mathrm{.}84\mathrm{.}8$

$5\mathrm{.}65\mathrm{.}6$

$5\mathrm{.}25\mathrm{.}2$

$4$

$6\mathrm{.}26\mathrm{.}2$

$6\mathrm{.}06\mathrm{.}0$

$6\mathrm{.}26\mathrm{.}2$

$5\mathrm{.}95\mathrm{.}9$

$5$

$6\mathrm{.}56\mathrm{.}5$

$6\mathrm{.}66\mathrm{.}6$

$6\mathrm{.}56\mathrm{.}5$

$6\mathrm{.}96\mathrm{.}9$