1. Reliability Manuplex, Inc. plans to set up a complex manufacturing process which incorporates three types of machines. Because of the nature of the process, machines frequently fall out of adjustment and must be repaired. To keep the system going, two machines are used at each stage; thus, if one fails, the other can be used while the first is repaired. The company is now checking three plans (see accompanying figure).

The reliabilities of the machines are as follows: Machine Reliability A 0.91

B 0.75

C 0.85 a. Analyze the system reliability of the three plans. b. Which plan has the highest reliability? 2. Process Capability A machining process at the Mach4 Tool Co. has a required dimension on a part of 0.575 0.008 inch. Adjustments were made in the process at the Mach4 Tool Co. In total 25 samples were taken. The results are given in the worksheet tab Mach4 Tool in the Excel file MGMT421 Final Data.xlsx in Canvas Modules- Final. What is its capability for producing within acceptable limits (please compute Cp, Cpu, Cpl, and Cpk) ? Is it capable of producing within acceptable limits? 3. Six Sigma List the key principles of the six Sigma philosophy. How does it differ from TQM?

Extra credit 4. Control Chart J. McWilliams Swim Club is trying to calibrate their chlorine pump to ensure that the right amount of chlorine (1.01.5 ppm of free chlorine) is mixed into the water. Thirty samples of four readings at random times during the week were taken. These data can be found in the worksheet McWilliams Swim in the MGMT421 Final Data.xlsx file. a. Compute the mean and range of each sample, calculate control limits, and plot them on x and R control charts. b. Does the process appear to be in statistical control? Calculate descriptive statistics that may help you to determine the answer to this question. What evidence is there for your conclusion?