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​Consider again that the company making tires for bikes is concerned about the exact width of its cyclocross tires

Consider again that the company making tires for bikes is concerned about the exact width of its cyclocross tires. The company has a lower specification limit of 22.8 mm and an upper specification limit of 23.2 mm. The standard deviation is 0.15 mm and the mean is 23 mm. The company now wants to reduce its defect probability as 0.01. To what level would it have to reduce the standard deviation in the process to meet this target?


Solutions

Expert Solution

Process is centered and for  99% probability of producing good items,

z should be 2.58 for each side of defects which should be less than 0.005 of total items

Hence 2.58 = USL -Mean / SD

which means that SD = 23.2-23 / 2.58 = 0.07751

Amanda K answered 2 years ago
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