(Solved): A Production Process Is Designed To Fill Boxes With An Average Of 20 Ounces Of Cereal. The Populatio...

A production process is designed to fill boxes with an average of 20 ounces of cereal. The population of filling weights is normally distributed with a standard deviation of 4 ounces. a. Calculate the centerline, the upper control limit (UCL), and the lower control limit (LCL) for the chart if samples of 18 boxes are taken. (Round the value for the centerline to the nearest whole number and the values for the UCL and LCL to 3 decimal places.) Centerline Upper Control Limit Lower Control Limit b. Analysts obtain the following sample means after a recent inspection of the production process. Can they conclude that the process is under control? F1 = 14.7 12 = 13.0 13 = 15.0 14 = 13.8 Is = 13.2 16 = 14.4 No, because some sample means lie outside the control limits. Yes, because some sample means lie outside the control limits. Yes, because all sample means lie within the control limits and there is no systematic pattern. No, because even though all sample means lie within the control limits, there is a negative trend.