Name:____________________________ 1) 9 7 create a process map for withdrawing cash from an ATM machine as 1) Please . described below: Janet needed some cash and walks up to an ATM machine. She inserts her debit card. The machine returns the card and the monitor reads: “could not read the card try again”. Janet recognizes that she has entered the card in the wrong direction. She takes the card and turns it around and insert the card again. The machine keeps the card and the monitor reads: “enter pass code”. Janet enters a 4 digit code. The monitor reads: “ error, try again”. Janet enters the code again. The monitor displays: Withdrawal? Yes No Janet selects Yes. Displays shows: “ $100, $200, $300, $400, $______”. Janet selects $200. The machine pushes out 10 $20 bills. Monitor then displays “Receipt? Yes No”. Janet selects No. Monitor displays “Take your cash” . The machine returns the card. Display changes to “Thank You”. Janet takes the cash and her card and walks away. . 2) 2) A procurement manager has been tracking delivery performance of her suppliers. Based on the following data 1) Calculate sigma performance of these suppliers using Z Score tables and rank order them 2) Comment on the performance of these suppliers Supplier Number of deliveries Number of late deliveries A 25 3 B 54 10 C 70 12 . 3) 1 A project manager at Global Design Corporation has collected the following data on the size of software programs and the length of programming time. The company is bidding on a new system that is estimated to consist of 400,000 lines of code. Use the data to find the correlation function of coding time to the program size and estimate the number of days it would take to code the system. © UMGC/Fallah Name:____________________________ Size in 1000 lines of code (KLOC) Module 2 Number of days to code 1 150 72 2 158 66 3 148 65 4 120 60 5 178 75 6 170 68 7 152 68 8 138 65 9 200 80 10 195 75 11 189 65 12 173 68 13 159 62 14 163 71 15 150 65 16 140 65 17 206 74 18 144 64 19 157 70 20 183 76 21 195 75 22 190 77 23 185 73 24 152 58 25 178 70 © UMGC/Fallah Name:____________________________ 4) A quality control engineer monitors the quality of a cylinder production line. He regularly selects a sample of 5 units and measures the diameters. The specification requires the diameter to be 6 inches plus/minus 0.1 inch. The following is a record of the measurements. Is the production process in control? Please use X bar and R charts to make an assessment. Sample item 1 item 2 item 3 item 4 item 5 1 6.10 6.15 5.35 5.98 5.95 2 6.35 6.02 6.20 6.10 5.70 3 5.85 5.90 6.20 6.12 6.08 4 6.00 5.80 5.70 6.04 6.17 5 6.15 5.60 6.25 5.99 6.01 6 6.13 6.05 5.89 6.00 5.87 7 5.88 6.03 5.76 6.1 3 6.00 8 6.12 5.45 6.15 6.04 5.91 5) A product manager has conducted a customer satisfaction survey of 30 customers on a scale of 1 to 5. The survey data is shown below. Calculate the mean and standard deviation of the survey and plot a histogram of the data. Does the distribution approximate Normal? Customer 1 2 3 4 5 6 7 8 9 10 11 12 3 Satisfaction rating 4 3 2 5 5 2 1 4 3 4 4 5 © UMGC/Fallah Name:____________________________ 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 3 3 2 1 5 3 4 3 4 2 4 4 3 3 3 2 2 3 6) A Black Belt consultant in the ABC Corporation reported the Sigma Performance of a manufacturing line as 3.5. Using Z score table calculate the % defective units coming off the production line. 4 © UMGC/Fallah