Question: A sample of 12 chemists from Washington State shows an average, salary of $39,420 with a standard deviation of $1659, while a sample of 26 chemists from New Mexico has an average salary of $30,215 with a standard deviation of $4116. Is there a significant difference between the two states in chemists' salaries at a = 0.02? Find the 98% confidence interval of the difference in the means.