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3.1 Forty nine samples of a performance metric were taken during a Six Sigma project. The...

3.1 Forty nine samples of a performance metric were taken during a Six Sigma project. The average of the samples was calculated to be 25. Suppose we know the population standard deviation is 3. Find the 97% confidence interval for the population mean of the performance metric.

3.2 If the confidence level is changed from 95% to 98%, derive the formula for the confidence interval.

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