. A machine produces metal pieces that are cylindrical in shape. A sample of these pieces is taken and the diameters are found to be 1.01, 0.97, 1.03, 1.04, 0.99, 0.98, 0.99, 1.01, and 1.03 centimeters. Use these data to calculate three interval types and draw interpretations that illustrate the distinction between them in
1. A machine produces metal pieces that are cylindrical in shape. A sample of these pieces is taken and the diameters are found to be 1.01, 0.97, 1.03, 1.04, 0.99, 0.98, 0.99, 1.01, and 1.03 centimeters. Use these data to calculate three interval types and draw interpretations that illustrate the distinction between them in the context of the system.
For all computations, assume an approximately
(a) Find a 99% confidence interval on the mean diameter.
(b) Compute a 99% prediction interval on ameasured diameter of a single metal piece taken from the machine.
(c) Find the 99% tolerance limits that will contain 95% of the metal pieces produced by this machine.
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