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Six Sigma and the Central Limit Theorem

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How is Six Sigma related to the Central Limit Theorem? How can Six Sigma be useful for improving business processes? What is a control chart? What are the grand mean, the UCL and the LCL of a control chart for the mean? How are these related to confidence intervals?

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This solution discusses six sigma and its relationship to the central limit theorem.

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The central limit theorem (CLT) states that the sum of a sufficiently large number of identically distributed independent random variables, each with finite mean and variance, will be approximately normally distributed. Six Sigma control process is conducted by monitoring the sample mean, which will follow a normal distribution by CLT and therefore has a meaningful mean and standard deviation.

Six Sigma seeks to identify and remove the causes of defects and errors in manufacturing and business processes. It uses a set of quality management methods, including ...

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