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The 3-Sigma Lower Control Limit (LCL) for an R Chart rˉ3cnrˉ/bn\bar { r } - 3 c _ { n } \bar { r } / b _ { n }

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The 3-sigma lower control limit (LCL) for an R chart is given by LCL = rˉ3cnrˉ/bn\bar { r } - 3 c _ { n } \bar { r } / b _ { n } where the values of bn and cnb _ { n } \text { and } c _ { n } for n=3,…..,8 are tabulated in your text. This expression for LCL will be negative if nn \leq __________, in which case it is customary to use LCL = __________.

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