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PA 9-4 Consider again the company making tires for... Consider again the company

ID: 330714 • Letter: P

Question

PA 9-4 Consider again the company making tires for... Consider again the company making tires for bikes is concerned about the exact width of their cyclocross tires. The company has a lower specification limit of 22.8 mm and an upper specification limit of 23.4 mm. The standard deviation is 0.19 mm and the mean is 23.1 mm. (Round your answer to 4 decimal places.) a. What is the probability that a tire will be too narrow? Round your answer to 4 decimal places.) b. What is the probability that a tire will be too wide? Round your answer to 3 decimal places.) c. What is the probability that a tire will be defective?

Explanation / Answer

A. Probability{narrow} = NORM.DIST(LSL, mean, ?, 1)

= NORM.DIST(22.8, 23.1, 0.19, 1)

= 0.0572

B. Probability{wide} = NORM.DIST(USL, mean, ?, 1)

= NORM.DIST(23.4, 23.1, 0.19, 1)

= 0.0572

C. Probability{defective} = 0.0572 + 0.0572

= 0.1144