Process time at a workstation is monitored using sample mean and range control charts. Six samples of n $=10$ observations have been obtained and the sample means and ranges computed $($in minutes$)$:

Sample Mean Range

$13\mathrm{.}060\mathrm{.}42$

$23\mathrm{.}150\mathrm{.}50$

$33\mathrm{.}110\mathrm{.}41$

$43\mathrm{.}130\mathrm{.}46$

$53\mathrm{.}060\mathrm{.}46$

$63\mathrm{.}090\mathrm{.}45$

a$.$ Using the factors in Table $10-3,$ determine the upper and lower limits for sample mean and range control charts. $($Round the intermediate calculations to $2$ decimal places. Round the final mean answers to $2$ decimal places. Round the final range answers to $3$ decimal places.$)$

UCL LCL

Mean

Range

b$.$ Is the process in control?

multiple choice

Yes

No