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Quantitative Analysis for Managers

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1. Precision Manufacturing has a government contract to produce stainless steel rods for use in;military aircraft. Each rod is required to be 20 millimeters in diameter. Each hour, random;samples of size n = 4 rods are measured to check process control. Five hours of observations;yielded the following;Time;9 A.M.;10 A.M.;11 A.M.;Noon;1 P.M.;Diameter;Rod 2;Rod 3;20.4;19.9;20.2;19.9;20.5;20.3;19.8;20.3;20.1;19.9;Rod 1;19.8;20.1;19.9;19.7;19.7;Rod 4;20.3;19.8;20.1;20.2;19.9;Using these data and the table below, construct limits for xbar- and R-charts. Is the process in;control?;Sample Size;n;2;3;4;5;6;7;8;9;10;12;Control Chart Limits Factors;Mean Factor;Upper Range;A2;D4;1.880;3.628;1.023;0.729;0.577;0.483;0.419;0.373;0.337;0.308;0.266;2.574;2.282;2.114;2.004;1.924;1.864;1.816;1.777;1.716;Lower Range;D3;0;0;0;0;0;0.076;0.136;0.184;0.223;0.284;2. A p-chart has been developed for a particular item. In the past, 3% of such items have been;found to be defective. If a sample of 100 is taken, and 9 of these are found to be defective;should the process be considered out of control? Explain.

 

Paper#32709 | Written in 18-Jul-2015

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