Weve also learned that heights of 3-year-old boys are approximately normally distributed with a mean of 37.4 inches and a standard deviation of about 1.4 inches. Suppose we randomly select 20 3-year-old boys from a neighborhood with suspected environmental contaminants (close to a freeway or an old industrial area). Will the sample mean height for samples of 20 be approximately normally distributed? Why or why not? Use the Central Limit Theorem to find the distribution (i.e. the mean and standard deviation) of the sample mean for all samples of size n=20..