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A machine produces metal pieces that are cylindrical in shape. A sample of pieces is​ taken,...

A machine produces metal pieces that are cylindrical in shape. A sample of pieces is​ taken, and the diameters are found to be 1.01​, 0.97​, 0.95​, 1.04​, 0.97​, 0.98​, 1.03​, 1.01​, and 1.06 centimeters. Find a 99​% confidence interval for the mean diameter of pieces from this​ machine, assuming an approximately normal distribution.

The confidence interval is ___<mu<___

​(Round to three decimal places as​ needed.)

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