A teller $at$ a drive$-up$ window $at$ a bank had the following service times $(in$ minutes$)$ for $20$ randomly selected customers.

SAMPLE

$a.$ Determine the mean $of$ each sample.

$b.If$ the process parameters are unknown, estimate its mean and standard deviation.

$c.$ Estimate the mean and standard deviation $of$ the sampling distribution.

$d.$ What would three$-$sigma control $limits$ for the process $be?$ What alpha risk would they provide?

$e.$ What alpha risk would control $limitsof4\mathrm{.}14$ and $4\mathrm{.}86$ provide?

$f.$ Using $limitsof4\mathrm{.}14$ and $4\mathrm{.}86,$ are any sample means beyond the control $limits?Ifso,$ which one$(s)?$

$g.$ Construct control charts for means and ranges using Table $10\mathrm{.}3.$ Are any samples beyond the control $limits?Ifso,$ which one$(s)?$

$h.$ Explain why the control $limits$ are different for means $in$ parts $d$ and $g.$Construct control charts for means and ranges using the values from the picture attached. Are any samples beyond the control $limits?idso$ which one$(s)?$

$i.If$ the process has a known mean $of4\mathrm{.}4$ and a known standard deviation $of\mathrm{.}18,$ what would three$-$sigma control $limitsbe$ for a mean

chart? Are any sample means WHAT ELSE $IS$ THERE $TO$ EDIT YOU HAVE THE WHOLE QUESTION YOU HAVE ALL THE INFORMATION FOR THE QUESTION