Question: please show all work. Problem 4) (8 points) a) A barbecue sauce producer sells their product in a 50 ounces bottle. Their historical process mean

please show all work. Problem 4) (8 points) a) A barbecue

please show all work.

Problem 4) (8 points) a) A barbecue sauce producer sells their product in a 50 ounces bottle. Their historical process mean has been 50 ounces with a standard deviation of 2.50 ounces. If their tolerance limits are set at 50 ounces plus or minus 7 ounces, what is the process capability ratio of the bottle filling process? (4 points) b) A barbecue sauce producer sells their product in a 45 ounces bottle. Their current process mean is 45.5 ounces with a standard deviation of 1.15 ounces. If their tolerance limits are set at 45 ounces plus or minus 4 ounces, what is the process capability index of the bottle filling process? (4 points)

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