1. Salary data from two random samples of high school teachers are shown to the right. Also shown are the population standard deviations. 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? Let population 1= the salaries of high school teachers in state A and population 2= the salaries of the high school teachers in state B State A State B Sample mean 50,407 53,232 Sample size 42 46 Pop standard 7000 7588 Deviation 2. The following two samples were collected as matched pairs. Complete parts (a) through (c) below Pair 1 2 3 4 5 6 7 Sample 1 4 7 8 5 5 8 9 Sample 2 5 5 5 4 3 4 3 Calculate the appropriate test statistics and interpret the results of the hypothesis using a= 0.05