QUESTION 9 A.) the distribution of the sample mean, , is approximately normal wi
ID: 3442757 • Letter: Q
Question
QUESTION 9
A.)the distribution of the sample mean, , is approximately normal with mean and standard deviation , as n gets large.
B.)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.
C.)the distribution of the sample data is approximately normal with mean and standard deviation , as n gets large.
D.)the distribution of the sample mean, , is approximately normal with mean and standard deviation , as n gets large.
E.)the distribution of the sample mean, , is approximately normal with mean and standard deviation , as n gets large.
Explanation / Answer
According to the central limit theorem, the sampling distrbution will have the same mean as the population mean, mu, but the new standard deviation is sigma/sqrt(n).
Thus, it is OPTION E: the distribution of the sample mean, X , is approximately normal with mean mu and standard deviation signa/sqrt(n), as n gets large. [ANSWER, OPTION E]
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