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Balding Inc. is the official producer of basketballs used in NBA tournaments. From this month’s quality report, Balding’s production manager finds out that the average basketball diameter from the current process is 29.55 inches with standard deviation of 0.08 inches. Recently, the Chicago Bulls placed a large order for Balding’s basketballs. The Bulls’ operations head says he will only accept basketballs with diameters between 29.3 and 29.7 inches.
a. What is the current sigma capability for Balding’s Inc.? By adjusting the mean diameter of the ball, how much can they increase their sigma capability?
b. Balding’s production manager wants to have at least 99% of their balls satisfy the customer’s requirement. Given the mean shift from part a, should she take any further action or not? If so, how?
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