which of the following statements is true about the sampling distribut

Question

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.