BA3653: Operations Management Winter 2017: Assignment 2 Deadline: March 13, 2017, 3pm Instructions: 1. You can use Excel to solve your assignment. 2. Explain all the details, like definition, units, justification, etc. 3. Name your file as "ID_Assign2" where ID is your ID. 4. Please upload your answer file no later than Monday, March 13, 2017, 3pm. Assignment 2: One of the leading causes of accidents, injury and death is tire failure. The cost of poor quality can be in the hundreds of millions of dollars to the tire manufacturing due to lawsuits, liability claims, and the cost of recalls to fix the problem. Your safety depends on a high level of tire quality and performance. Therefore, the Canadian Tire periodically tests its tire for tread wear under simulated road conditions. To study and control its manufacturing processes, the company uses X-bar and R-bar charts. Thirty samples, each containing three radial tires, were chosen from different shifts over several days of operation. The following table provides the data for tread wear in hundredths of millimeters, where lower numbers represent better performance. 1 Sample Tread Wear 1 19 39 29 2 26 24 30 3 35 26 19 4 30 26 32 5 17 25 26 6 39 40 25 7 19 21 33 8 38 18 36 9 20 39 32 10 26 30 31 11 30 20 17 12 32 36 26 13 19 28 34 14 20 32 40 15 41 38 27 16 24 35 26 17 21 27 26 18 25 20 17 19 40 34 29 20 33 30 34 21 22 37 39 22 17 28 35 23 21 31 31 24 22 17 18 25 25 17 23 26 37 17 24 27 38 33 36 28 27 38 24 29 36 32 25 30 25 25 35 31 23 37 25 32 36 30 22 33 20 26 40 34 35 39 42 18 21 40 30 Assignment Questions: 1. Draw a histogram of the above data. What can you conclude about the distribution of the tread wear? Justify your answer. 2 2. Construct X-bar and R-bar charts for these data. Is the production process in control? Explain your answer. 3