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In: Statistics and Probability

A machine produces metal pieces that are cylindrical in shape. A sample of these pieces is...

A machine produces metal pieces that are cylindrical in shape. A sample of these pieces is taken and the diameters are found to be 1.02, 0.95, 1.03, 1.07, 0.98, 0.98, 0.99, 1.01, and 1.06 centimeters. Compute the sample mean x, the sample standard deviation s and the median of the sample. Determine the 95% confidence interval for the mean. Assume an approximately normal distribution for the diameter random variable. (Hint: Use the t–distribution.)

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