P-Chart: Aluminum Cans A high-speed metal stamp machine

Chapter , Problem 12

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P-Chart: Aluminum Cans A high-speed metal stamp machine produces 12- ounce aluminum beverage cans. The cans are mass produced in lots of 110 cans for each square sheet of aluminum fed into the machine. However, some of the cans come out of the die stamp with folds and wrinkles. These are defective cans that must be recycled. Let us view each can as a binomial trial, where success is defined to mean the can is defective. So we have n 110 trials (cans), and the random variable r is the number of defective cans. A test run of 15 consecutive aluminum sheets gave the following numbers r of defective cans. Test sheet 1 2 3 4 5 6 7 8 r 8 11 6 9 12 8 7 11 p r/110 0.07 0.10 0.05 0.08 0.11 0.07 0.06 0.10 Test sheet 9 10 11 12 13 14 15 r 10 7 9 6 12 7 10 p r/110 0.09 0.06 0.08 0.05 0.11 0.06 0.09 Make a P-Chart and list any out-of-control signals by type (I, II, or III). Does it appear from the sequential test runs that the production process is in reasonable control? Explain.