Determine upper and lower control limits of x-bar chart


Problem:

Several samples of size 5 each were taken from a fertilizer-bag-filling machines. The results were: Overall mean = 57.76 lbs; Average range = 1.78 lbs.

Required:

Question a) Determine the upper and lower control limits of the x-bar chart. Please give the formulas for calculating UCL and LCL and at least one step of calculation for full credit.

Question b) Determine the upper and lower control limits of the R chart. Please give the formulas for calculating UCL and LCL and at least one step of calculation for full credit. Solve the problem and show all work.

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