Salary data from two random samples of high school teachers from Pennsylvania and Ohio are as follows. Also shown are the population standard deviations for these populations.

Pennsylvania Ohio Sample mean $53,289 $49,945 Sample size 40 46 Population standard deviation $6,433 $7,012

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 from part

a, can you conclude that a difference exists in the average salaries?

AppendixLO1