State A State B Salary data from two random samples of high school teachers are shown to the Sample mean $50942 $41688 . . . . Sample Size 37 47 right. Also shown are the population standard deVIatIons. _ Population standard deviation $6,090 $6,740 a. Construct a 90% confidence interval to estimate the difference in the average salaries of the high school teachers in these two states. b. Based on the results in part a, can you conclude that a difference exists in the average salaries? (I) a. Let population 1 = the salaries of the high school teachers in State A and population 2 = the salaries of the high school teachers in State B. The confidence interval is ($D$|:D. (Round to the nearest dollar as needed.)