As a quality control expert with extensive experience in statistical process control, I can provide a detailed explanation of the defect rate at the 3 sigma level.
In a normal distribution, the 3 sigma level corresponds to the range within which approximately 99.73% of the values lie. This is based on the empirical rule, also known as the 3 sigma rule, which states that nearly all values in a dataset will fall within three standard deviations of the mean. The defect rate at the 3 sigma level is essentially the probability of a defect occurring outside this range, which is the remaining 0.27%.
To put this into perspective, if you have a manufacturing process that is well-controlled and follows a normal distribution, you would expect only 0.27% of the products to be defective. This is a very high standard for quality and is often used in industries where quality is critical, such as aerospace, automotive, and medical devices.
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