Furniture Mart makes bespoke and standard household furniture such as table, chairs, and cots using a variety of material such as wood, steel, and plastic. Due to rapid expansion and heavy workload, the quality department identified a number of defects. The furniture could be flawed in various ways, including incorrect dimensions, uneven stitches in the upholstery, and surface not polished properly. A random examination of 10 products generated the following results:

a. Assuming that 10 observations are adequate for these purposes, determine the three-sigma control limits for defects per product.
b. Suppose that the next product has 13 defects. What can you say about the process now?

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Product 1 2 3 4 5 6 7 8 9 10 Number of Defects 7 5 8 0 5 12 6 9 2 5