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In: Mechanical Engineering

Assume a dimension that a customer is interested in is given by R = x0.5+y. The...

Assume a dimension that a customer is interested in is given by R = x0.5+y. The variables x and y are determined using standard calibration gage pins, where the nominal value of x is 0.9” and the nominal value of y is 0.2”. The manufacturer of the gage pins states that the pins have error bounds of +0.0002” with a quality rate of 95.45%. Assume that the gage pin diameter follows a normal distribution. What is the expanded uncertainty with a 99.73% coverage probability? Use an appropriate estimate of the standard uncertainties of y and z in your calculation.

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