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Quality control engineer at a manufacturing plant is trying to determine the variation of parts that an operator is making with a particular machine. She takes a sample of n parts and, for each part in the sample, measures how much the part width differs from the specifications for the part. She then uses the mean and standard deviation of these values to estimate the mean value for all parts the operator is making. Construct a 95% confidence interval for the mean value assuming a normal distribution.

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