In a current study, a random sample of teachers from Georgia and an independent random sample of 10 teachers from Indiana have been asked to report their annual income. The data obtained are as follows:

Georgia 32461, 40374, 28053, 28592, 41899, 28785, 36190, 20720, 39467, 44934

Indiana 28474, 39895, 47134, 46178, 35413, 36194, 30620, 31287, 39678, 39570

The population standard deviations for the annual incomes of teachers in Georgia and in Indiana are estimated as $6500 and $6350, respectively. It is also known that both populations are approximately normally distributed. Construct a 95% for the difference H1 -H2 between the mean annual income of teachers from Georgia (H1) and the mean annual income of teachers from Indiana (H2). Then complete the table below.

Carry your intermediate computations to at least three decimal places. Round your answers to at least two decimal places.

What is the lower limit of 95% confidence interval?

what is the upper limit of 95% confidence interval?