Suppose a simple random sample is selected from a population with a mean if and a variance of 2.The central limit theorem tells us that
A) the sample mean gets closer to the population mean as the sample size increases.
B) if the sample size n is sufficiently large,the sample will be approximately Normal.
C) the mean of will be if the sample size n is sufficiently large.
D) if the sample size is sufficiently large,the distribution of will be approximately Normal with a mean of and a standard deviation of
.
E) the distribution of will be Normal only if the population from which the sample is selected is also Normal.
Correct Answer:
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