A company produces plastic bottles to customer order. The quality inspector randomly selects ...

     (A) A   company produces plastic bottles to customer order. The quality inspector   randomly selects four bottles from the bottle machine and measures the   outside diameter of the bottle neck, a critical quality dimension that   determines whether the bottlecap will fit propoerly. The dimensions (in.)   from the last six samples are: BOTTLE Sample 1 2 3 4 1 0.604 0.612 0.588   0.600 2 0.597 0.601 0.607 0.603 3 0.581 0.570 0.585 0.592 4 0.620 0.605 0.595   0.588 5 0.590 0.614 0.608 0.604 6 0.585 0.583 0.617 0.579 A. Assume that only   these 6 samples are sufficient, and use the data to determine control limits   for an R- and x(with line over top) chart.         (B)   Suppose that the specification for the bottle enck diameter is 0.600+-0.050   in. If the possible standard deviation is 0.013 in., and the firm is seeking   four-sigma quality, is the process capable of producing the bottle?