Young\'s modulus is a quantitative measure of stiffness of an elastic material.

Question

Young's modulus is a quantitative measure of stiffness of an elastic material. Suppose that for aluminum alloy sheets of a particular type, its mean value and standard deviation are 70 GPa and 1. 6 GPa, respectively (values given in the article "Influence of Material Properties Variability on Springback and Thinning in Sheet Stamping Processes: A Stochastic Analysis" (Intl. J. of Advanced Manuf. Tech. , 2010: 117-134)). If X bar is the sample mean Young's modulus for a random sample of n = 16 sheets, where is the sampling distribution of X bar centered, and what is the standard deviation of the X bar distribution?

Explanation / Answer

Young's modulus is a quantitative measure of stiffness of an elastic material.

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