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trippie4life
14.10.2019 •
Mathematics
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– (a) if x is the sample mean young's modulus for a random sample of n = 64 sheets, where is the sampling distribution of x centered, and what is the standard deviation of the x distribution?
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Ответ:
0.2 GPa
Step-by-step explanation:
Data provided:
Mean value = 70 GPa
Standard deviation, σ = 1.6 GPa
Now,
a) sample, n = 64
From central limit theorem,
The sample of n = 64 will have the same mean i.e 70 GPa
and,
The standard deviation
σ' =![\frac{\sigma}{\sqrt{\textup{n}}}](/tpl/images/0319/7517/9a259.png)
on substituting the respective values, we get
σ' =![\frac{1.6}{\sqrt{64}}](/tpl/images/0319/7517/f237d.png)
or
σ' = 0.2 GPa
Ответ:
If k=3/5, then you substitute 3/5 for k
Example:
5(3/5)(-7)=?
-175/3 or -58.33 repeating