1. A cell phone manufacturer tests a sample of 100 units every day for quality control. The following list shows the number of defective units for the past 15 days. a. Create a control chart for this process and indicate if the process is in control. Day # of defective units 1 12 2 14 3 12 4 45 5 22 6 17 7 10 8 16 9 27 10 36 11 8 12 10 13 10 14 12 15 10 2. The QKar manufacturer inspect every car coming off production line for fit and finish. The following data shows the number of scratches observed on a sample of 20 cars. a. Create a control chart for this production line b. Is this process is in control? c. Comment on performance of this production process. Unit Number of Defects 1 2 2 8 3 3 4 0 5 5 6 8 7 2 8 1 9 3 2 UMGC/MHFallah 10 7 11 0 12 2 13 4 14 12 15 8 16 7 17 6 18 2 19 8 20 10 3. A project manager working with her team has developed the following list of tasks and estimates of duration time. a. Create a AON diagram, identify the critical path and calculate the expected project duration b. Estimate the additional weeks she requires to be 95% confident of completion date c. If the customer requests the project be delivered a week early, what is the chance that it can be done with the current plan and resources? Task Predecessors T optimistic (weeks) T Most_Likely (weeks) T Pessimistic (weeks) A 3 4 5 B A 4 8 15 C A 2 4 6 D A 4 8 12 E B 7 9 14 F C,B 2 5 8 G E,D 5 7 12 H F,G, I 4 7 10 I D 3 6 9