Young’s modulus is a quantitative measure of stiffness of an elastic material. Suppose that for aluminum alloy sheets of a particular type

Reeves

Reeves

Answered question

2021-09-22

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

Answer & Explanation

Arnold Odonnell

Arnold Odonnell

Skilled2021-09-23Added 109 answers

μˉx=70GPa
qˉx=0.4GPa

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