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Refer to given Exercise. Suppose that the specifications for the assembly length are 35± 0.3 cm and that the tolerances of A and C are equal but those for B and D are each twice as large as that for A. In addition, assume that the specifications are barely equal to the natural tolerance limits. Find the tolerances for each component.
Exercise Refer to the four-component assembly shown in given Figure. Assume that the length of each component is normally and independently distributed with the means shown in Table. The specifications for the assembly length are 35 ±0.5 cm. Assuming that the natural tolerances (or process spread) for all four components are equal to each other and that the specifications barely match the natural tolerance limits, find the tolerances on the individual components.
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An experiment produces random vector X = [X1 ··· Xk]' with expected value µX = [µ1 ··· µk]' The ith component of X has variance Var[Xi] = σ2i . To estimate µX, we perform n independent trials such that X(i) is the sample of X on trial i, and we form ..
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