Problem 4: A manufacturing process produces light bulbs. The average number of defective light bulbs in a sample of 500 is known to be 3.2. a) Suppose the manufacturer considers the upper control limit to be three standard deviations above the mean. How many defective light bulbs in a sample of 500 would that be? b) Suppose the manufacturer considers the lower control limit to be three standard deviations below the mean. How many defective light bulbs in a sample of 500 would that be? Problem 6: specification width is 0.008 grams. The process is centered at the specification mean of 2.27 grams bith an upper control limit of 2.272 grams and a lower control limit of 2.268 grams. What are: a) The upper specification limit? b) The lower specification limit? c) The process width? d) The process capability index? Problem 8: The US Mint is assessing its process capability for minting dimes. In regard to weight, the upper specification is 2.274 grams and the lower specification is 2.266 grams. The process is not centered at the specification mean. The process mean is 2.271 grams with a standard deviation of 0.0005 grams. If the upper and lower control limits are three standard deviations from the process mean, what is the process capability index