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The Young 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 bottle cap will fit properly. The dimension (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 thesc six samples are sufficient, and use the data to determine the necessary control limits. b) Suppose the specification for the bottle neck diameter is 0.600 +/- 0.050 inches. If the population standard deviation is 0.013 inches, and the firm is seeking four- sigma quality, is the process capable of producing the bottle