(Solved): PLEASE HELPP!!! Will thumbs up!!! please !!! State A $51,162 36 $6,203 a. Construct a 90% confidence ...

State A $51,162 36 $6,203 a. Construct a 90% confidence interval to estimate the difference in the average salaries of the high school teachers in these two states. b. Based on the results in part a, can you conclude that a difference exists in the average salaries? Salary data from two random samples of high school teachers are shown to the right. Also shown are the population standard deviations. Sample mean Sample size Population standard deviation The confidence interval is ($.$. (Round to the nearest dollar as needed.) State B $48,575 49 $6,831 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.