The Marlin 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 dimensions (in.) from the last six samples are

a. Assume that only these six samples are sufficient, and use the data to determine control limits for an R- and an x^- chart.

b. Suppose that the specification for the bottle neck diameter is 0.600 ± 0.050 in. If the population standard deviation is 0.0 13 in., and the firm is seeking four-sigma quality, is the process capable of producing.

Transcribed Image Text:

Bottle Sample3 0604 0.612 588 0.600 0,597 0.601 0.6070.603 0.581 0570 0.5850.592 0.620 05 0.595 0.588 0.590 0.614 0.608 0.604 0.585 0583 0617 0.579