A manager wishes to build a $3-$sigma range chart for a process. The sample size is $7.$ the mean of sample means is $^601$

and the average range is $3\mathrm{.}5.$ What are the UCL and LCL$,$ respectively, for this Range chart?

Note: The Table for $42$ D$3$ and D$4$ should show imbedded below

It can also be found in your hard copy textbook or the PPT slide deck $($assuming you printed it$).$

Control Chart Factors $($Table S$6\mathrm{.}1)$

Sample Size

Mean Factor

Upper Range

Az

DA

Lower Range

D$.$

$3$

$4$

$5$

$6$

$7$

$1\mathrm{.}880$

$1\mathrm{.}023$

$0\mathrm{.}729$

$0\mathrm{.}577$

$8$

$0\mathrm{.}483$

$0\mathrm{.}419$

$0\mathrm{.}373$

$9$

$0\mathrm{.}337$

$10$

$0\mathrm{.}308$

$12$

$0\mathrm{.}266$

$3\mathrm{.}268$

$2\mathrm{.}574$

$2\mathrm{.}282$

$2\mathrm{.}115$

$2\mathrm{.}004$

$1\mathrm{.}924$

$1\mathrm{.}864$

$1\mathrm{.}816$

$1\mathrm{.}777$

$1\mathrm{.}716$

$0$

$0\mathrm{.}076$

$0\mathrm{.}136$

$0\mathrm{.}184$

$0\mathrm{.}223$

$0\mathrm{.}284$