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Part $1$

Refer to Table S$6\mathrm{.}1-$ Factors for Computing Control Chart Limits $(3$ sigma$)$ LOADING... for this problem.

Ross Hopkins is attempting to monitor a filling process that has an overall average of $705705$ mLmL$.$ The average range Upper R overbarR is $44$ mLmL$.$

For a sample size of $1010,$ the control limits for $3-$sigma x overbarx chart$$ are:

Part $2$

Upper Control Limit $($UCL Subscript x overbarUCLx$)=706\mathrm{.}232706\mathrm{.}232$ mLmL $($round your response to three decimal$$ places$).$

Part $3$

Lower Control Limit $($LCL Subscript x overbarLCLx$)=703\mathrm{.}768703\mathrm{.}768$ mLmL $($round your response to three decimal$$ places$).$

Part $4$

The control limits for the $3-$sigma$$ R$-$chart are:

Part $5$

Upper Control Limit $($UCL Subscript Upper RUCLR$)=2\mathrm{.}1892\mathrm{.}189$ mLmL $($round your response to three decimal$$ places$).$