Assignment:
Q1. Consider a process with an upper spec limit of 69.5 grams, a lower spec limit of 62 gram and a mean of 67 grams.
- If the standard deviation is 1 gram, is the process "capable?"
- If the standard deviation is 2 grams, is the process "capable?"
Q2. Consider a normally distributed process that cuts wood with a "process center" of 18 inch and a standard deviation of .08 inches. The lower specification limit is 17.75 inches, and the upper specification limit is 18.18 inches. A piece of wood that is cut too short must be scrapped at a cost of $22.00. A piece of wood that is cut too long must be re-cut by hand a cost of $4.50. The firm runs 20,000 pieces of wood through the machine per day and works 350 days per year. What is the annual expected fixing cost of this process?
Provide complete and step by step solution for the question and show calculations and use formulas.