A sample of 35 chemists from Washington State shows an average salary of $39,420 with a standard deviation of $1659, while a sample of 40 chemists from New Mexico has an average salary of $30,215 with a standard deviation of $4116. A. Is there a significant difference between the two states chemists' salaries at ? ? 0.02? B. Find the 98% confidence interval of the difference in the means.