Suppose a Simple Random Sample Is Selected from a Population

question 76

Multiple Choice

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.

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