Probability

Which of the following statements is true about the sampling distribution of the sample mean? Check all correct answers (There may be more than one).

O As n increases, the standard error of the sample mean decreases.

O The sampling distribution of sample mean will be exactly normally distributed as long as the original population is normal.

O The sampling distribution of the sample mean is never exactly normal.

O The distribution of the sample mIean will be approximately normally distributed as long as the sample size is large enough.

As n increases, the variance of the sample mean also increases.

O If the histogram of distribution of the sample mean of samples of size 100 looks normal then the underlying population distribution must be normal.

7 If the histogram of distribution of the sample mean of samples of size 10 looks normal then the underlying population distribution must be normal.

As n increases, the expected value of the sample mean does not change.

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