A production process is designed to fill boxes with an average of 14 ounces of cereal. The population of filling weights is normally distributed with a standard deviation of 2 ounces. a. Calculate the...

Extracted text: A production process is designed to fill boxes with an average of 14 ounces of cereal. The population of filling weights is normally distributed with a standard deviation of 2 ounces. a. Calculate the centerline, the upper control limit (UCL), and the lower control limit (LCL) for the x chart if samples of 15 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? X1 = 14.8 X2 = 14.4 X3 = 13.4 X4 = 14.6 X5 = 14.1 X6 = 14.7 Yes , because all sample means lie within the control limits , and there is no systematic pattern. Yes , because some sample means lie outside the control limits. No , because some sample means lie outside the control limits. No , because even though all sample means lie within the control limits , there is a negative trend.