Question: A recent study of 100 elementary school teachers in a southern state found that their mean salary was $24,400 with a standard deviation of $2100. A similar study of 100 elementary school teachers in a western state found that their mean salary was $34,800 with a standard deviation of $3200. Test the claim that the salaries of elementary school teachers in the western state is more than $10,000 greater than that of elementary teachers in the southern state. Use α = 0.05.