Aspen Plastics 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 0.578 Bottle Sample 1 0.623 0.623 4 0.615 2 0.608 0.574 0.606 0.587 3 0.573 0.575 0.577 0.573 4 0.575 0.623 0.611 0.602 5 0.596 0.607 0.618 0.583 6 0.596 0.594 0.577 Click the icon to view the table of factors for calculating three-sigma limits for the x-chart and R-chart. 0.575 Assume that only these six samples are sufficient, and use the data to determine control limits for an R- and an x-chart. Compute the range R and the sample mean x for each sample. (Enter your responses rounded to three decimal places.) Bottle Sample 1 2 3 4 R X 1 0.623 0.578 0.623 0.615 0.045 0.610 2 0.608 0.574 0.606 0.587 0.034 0.594 0.573 0.575 0.577 0.573 0.004 0.575 4 0.575 0.623 0.611 0.602 0.048 0.603 5 0.596 0.607 0.618 0.583 6 0.596 0.577 0.575 0.594