B. Statistical Process Control (Control Chart Constants at the end of the test) (Table of constatuts at the end) Problem 1 A pharmaceutical manufacturer uses variable control charts to control the quantity of a drug filled in each bottle. The specified volume of the drug in each bottle is 12.55 +0.50 mls.. A process study reveals that the mean of the process is currently at 12.15 ml and its average range is 0.85 ml. A sample of 6 bottles is drawn every hour and its mean and range computed and plotted to detect the out-of-control state of the process. Based on this information, answer parts (1) through (v) below: [8 points) 0 Reason why the company uses variable charts for this situation? (11) Compute the upper and lower limits on X chart for the bottle-filling process? Xahlbar = C : Upper Control Limit Formula = UCLxbar = (show the numbers plugged Lower Control Limit Formula LCLxhax = (show the numbers plugged in) Compute the upper and lower limits on R chart (11) bottle-filling process? [8 points) Rbar = Upper Control Limit Formula = UCL= (show the numbers plugged in) = Lower Control Limit Formula LCL1 = (show the numbers plugged in) (iv) Assume these limits are in place and process in control until the sample #20. Suppose the next two samples collected recorded the following quantities of the drug in the bottles... Sample # 21: Sample #22: 12.05 13.05 12.30 11.70 12.70 12.35 12.05 12.55 11.95 11.05 12.55 10.75 Calculate appropriate statistics for these two samples that will be needed to determine the state of control of the process. [10 points] MGT366 FINAL W2020 () Based on sample no. 21 data, is the process in control? Why or why not? Indicate the action you will take (or not take) based on this sample. [5 points] (vi) Based on sample no. 22 data, is the process in control? Why or why not? Indicate the action you will take (or not take) based on this sample. [5 points]