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Mathematics, 05.05.2020 02:40 xcapo1x
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.
a. 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?
b. Answer the questions posed in part (a) for a sample size of n = 64
c. For which of the two random samples, the one of part (a) or the one of part (b), is X more likely to be within 1 GPa of 70 GPa? Explain your reasoning.
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Young's modulus is a quantitative measure of stiffness of an elastic material. Suppose that for alum...
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