A school administrator wants to see if there is a difference in the number of students per class for Hillsboro Public School district (group 1) compared to the Salem School district (group 2). A random sample of 27 Hillsboro classes found a mean of 35 students per class with a standard deviation of 5. A random sample of 25 Salem classes found a mean of 37 students per class with a standard deviation of 2. Assume all conditions are met for inference. Find a 95% confidence interval in the difference of the means. ( , ) Round to 1 decimal place Interpret the confidence interval in context: Round all values to 1 decimal place We are 95 % confident that the difference in sample mean class size between Hillsboro and Salem is between and