Assume that only these six samples are​ sufficient, and use the data to determine control limits for an​ R- and an ​-chart. Compute the range R and the sample mean for each sample. ​ Bottle Sample 1 2 3 4 R bar x1 0.609 0.592 0.574 0.623 0.049 0.6002 0.573 0.610 0.589 0.622 0.049 0.599 3 0.622 0.624 0.597 0.606 0.027 0.612 4 0.580 0.606 0.619 0.649 0.039 0.6025 0.594 0.607 0.615 0.580 6 0.619 0.588 0.572 0.584 The UCL2 equalsinches and the LCL2 equalsinches. The UCL7 equalsinches and the LCL7 equalsinches. Suppose that the specification for the bottle neck diameter is 0.600 plusminus0.050 in, and the population standard deviation is 0.014 in. What is the process capability index? The process capability ratio?If the firm is seeking four-sigma quality, is the process capable of producing the bottle? A. Yes, because Cpk is less than the critical value of 1.33. B. No, because Cpk is greater than the critical value of 1.33. C. No, because Cpk is less than the critical value of 1.33. D. Yes, because Cpk is greater than the critical value of 1.33.