Is the statement below true or false The distribution of the

Is the statement below true or false? The distribution of the sample mean, x, will be normally distributed if the sample is obtained from a population that is normally distributed, regardless of the sample size.

Solution

TRUE

The distribution of the sample mean, x, will be normally distributed if the sample is obtained from a population that is normally distributed, regardless of the sample size.As the size of a sample increases, the mean of the distribution of sample means does not change