Oregon Fiber Board makes roof liners for the automotive industry. The manufacturing manager is concerned about product quality. She suspects that one particular failure, tears in the fabric, is related to production-run size. An assistant gathers the following data from production records: Run Size Failures (%) Run Size Failures (%) 1 1,000 3.5 11 6,500 1.5 2 4,100 3.8 12 1,000 5.5 3 2,000 5.5 13 7,000 1.0 4 6,000 1.9 14 3,000 4.5 5 6,800 2.0 15 2,200 4.2 6 3,000 3.2 16 1,800 6.0 7 2,000 3.8 17 5,400 2.0 8 1,200 4.2 18 5,800 2.0 9 5,000 3.8 19 1,000 6.2 10 3,800 3.0 20 1,500 7.0 a. Draw a scatter diagram for these data.
Does there appear to be a relationship between run size and percent failures? What implications does this data have for Oregon Fiber Board's business?