Sample

$$Size$,$ n

Mean$$ Factor,

A$2$

Upper$$ Range,

D$4$

Lower$$ Range,

D$3$

$2$

$1\mathrm{.}880$

$3\mathrm{.}268$

$0$

$3$

$1\mathrm{.}023$

$2\mathrm{.}574$

$0$

$4$

$0\mathrm{.}729$

$2\mathrm{.}282$

$0$

$5$

$0\mathrm{.}577$

$2\mathrm{.}115$

$0$

$6$

$0\mathrm{.}483$

$2\mathrm{.}004$

$0$

$7$

$0\mathrm{.}419$

$1\mathrm{.}924$

$0\mathrm{.}076$

$8$

$0\mathrm{.}373$

$1\mathrm{.}864$

$0\mathrm{.}136$

$9$

$0\mathrm{.}337$

$1\mathrm{.}816$

$0\mathrm{.}184$

$10$

$0\mathrm{.}308$

$1\mathrm{.}777$

$0\mathrm{.}223$

$12$

$0\mathrm{.}266$

$1\mathrm{.}716$

$0\mathrm{.}284$

pop$-$up content ends

Ross Hopkins is attempting to monitor a filling process that has an overall average of $715$ mL$.$ The average range Upper R overbar is $6$ mL$.$

For a sample size of $10,$ the control limits for $3-$sigma x overbar chart$$ are:

Part $2$

Upper Control Limit $($UCL Subscript x overbar$)=$

$$

$716\mathrm{.}848$ mL $($round your response to three decimal$$ places$).$

Part $3$

Lower Control Limit $($LCL Subscript x overbar$)=$

$$

enter your response here mL $($round your response to three decimal$$ places$).$