# 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 v

Isa Trevino 2021-06-26 Answered

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 $\overline{X}$ is the sample mean Young’s modulus for a random sample of $n=16$ sheets, where is the sampling distribution of $\overline{X}$ centered, and what is the standard deviation of the $\overline{X}$ distribution?

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## Expert Answer

Laith Petty
Answered 2021-06-27 Author has 103 answers
$\mu ˉx=70GPa$
$qˉx=0.4GPa$
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