Following maintenance and calibration, an extrusion machine produces aluminum tubing with a mean outside diameter of 2.500 inches. As the machine functions over an extended number of work shifts the combination accumulated deposits and mechanical wear causes the mean diameter to drift away from the desired 2.500 inches. For a recent random sample of thirty-four tubes, the mean diameter was 2.491 inches and the standard deviation was 0.027 inches. Does the machine appear to be in need of maintenance and calibration (use α = 0.01)? Also, determine the p-value for the test.
A. Provide the hypothesis
B. Provide the test statistics formula
C. Conduct the calculations and provide results
D. Discuss the decision of whether or not to reject the hypothesis
E. Discuss the business conclusion
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