A random sample of 15 teachers from Rhode Island has an average salary of $35,270, with a standard deviation of $3256. A random sample of 30 teachers from New York has an average salary of $29,512, with a standard deviation of $ 1432. Is there a significant difference in teachers' salaries between the two states? Use a= 0.02. find the 98% confidence interval for the difference of the two means.