Question: Thirty-five samples of size 7 each were taken from a fertilizer-bag-filling machine. The results were: Overall mean = 69.75 lb.; Average range \(=1.65 \mathrm{lb}\).

1. Determine the upper and lower control limits of the \(\bar{x}\) -chart with \(z=3\).
   \(\mathrm{UCl}_{\mathrm{R}}=\)
   \(\mathrm{LCL}_{R}=\)
   Round your answers to 2 decimal places; for example, 12.34.
2. Determine the upper and lower control limits of the \(R\) -chart with \(z=3\).

\(\mathrm{UCL}_{R}=\)

\(\mathrm{LCL}_{R}=\)

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