Based on a previously stable and in$-$control process, the control limits of the

x overbarx$-$

and R$-$charts are:

UCL Subscript x overbarUCLx

$=$

$6\mathrm{.}196\mathrm{.}19,$

LCL Subscript x overbarLCLx

$=$

$5\mathrm{.}755\mathrm{.}75$;

UCL Subscript Upper RUCLR

$=$

$1\mathrm{.}1221\mathrm{.}122,$

LCL Subscript Upper RLCLR

$=$

$00.$

Over the past few days, they have taken five random samples of four loaves each and have found the following:

$$

Net Weight

Sample Loaf # $1$

Loaf # $2$

Loaf # $3$

Loaf # $4$

$16\mathrm{.}16\mathrm{.}16\mathrm{.}46\mathrm{.}46\mathrm{.}16\mathrm{.}16\mathrm{.}56\mathrm{.}5$

$25\mathrm{.}85\mathrm{.}85\mathrm{.}65\mathrm{.}65\mathrm{.}75\mathrm{.}75\mathrm{.}75\mathrm{.}7$

$35\mathrm{.}45\mathrm{.}45\mathrm{.}45\mathrm{.}45\mathrm{.}25\mathrm{.}25\mathrm{.}35\mathrm{.}3$

$45\mathrm{.}95\mathrm{.}96\mathrm{.}16\mathrm{.}15\mathrm{.}95\mathrm{.}96\mathrm{.}06\mathrm{.}0$

$55\mathrm{.}15\mathrm{.}15\mathrm{.}35\mathrm{.}35\mathrm{.}45\mathrm{.}45\mathrm{.}55\mathrm{.}5$

Part $2$

Based on the

x overbarx$-$chart,

is one or more samples beyond the control limits$?$

Yes or no

$.$

Part $3$

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

Yes or no

$.$