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Given that 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.
Part A:
If X is the sample mean Young's modulus for a random sample of n = 16 sheets, the sampling distribution of X centered at 70 GPa, and the standard deviation of the X distribution is given by
Part B:
If X is the sample mean Young's modulus for a random sample of n = 64 sheets, the sampling distribution of X centered at 70 GPa, and the standard deviation of the X distribution is given by
Part A:
If X is the sample mean Young's modulus for a random sample of n = 16 sheets, the sampling distribution of X centered at 70 GPa, and the standard deviation of the X distribution is given by
Part B:
If X is the sample mean Young's modulus for a random sample of n = 64 sheets, the sampling distribution of X centered at 70 GPa, and the standard deviation of the X distribution is given by