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.  Fig: 1  Fig: 2  Fig: 3  Fig: 4  Fig: 5  Fig: 6  Fig: 7  Fig: 8  Fig: 9