In a kitchen-cabinet shop, the cabinets and the shelves

Chapter , Problem 6.92

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In a kitchen-cabinet shop, the cabinets and the shelves are manufactured separately. In a particular cabinet model, the distance between the sides is 24 inches, with a standard deviation of 0.06 inch. The length of the shelves can be cut with a standard deviation of 0.03 inch. What is the maximum length of each shelf such that 99% of the shelves will fit? (The clearance is greater than zero.)

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