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the distribution of the sample mean, , is approximately normal with mean and sta

ID: 3127378 • Letter: T

Question

the distribution of the sample mean, , is approximately normal with mean    and standard deviation , as n gets large.

the distribution of the sample mean, , is approximately normal with mean    and standard deviation , as n gets large.

the distribution of the sample data is approximately normal with mean and standard deviation , as n gets large.

the distribution of the sample mean, , is approximately normal with mean    and standard deviation , as n gets large.

the distribution of the sample mean, , is approximately the same as the distribution of the original population or process, with mean    and standard deviation , as n gets large.

the distribution of the sample standard deviation S, is approximately normal with mean    and standard deviation , as n gets large.

Explanation / Answer

By definition of central limit theorem,

OPTION D: the distribution of the sample mean, Xbar, is approximately normal with mean u and standard deviation fraction sigma/sqrt(n) , as n gets large. [ANSWER]