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 St$.$ Helens School district $($group $2).$ A random sample of $27$ Hillsboro classes found a mean of $36$ students per class with a standard deviation of $2.$ A random sample of $25St.$ Helens classes found a mean of $37$ students per class with a standard deviation of $3.$

Assume all conditions are met for inference. Round answers to at least one decimal place.

Find a $90\%$ confidence interval in the difference of the means.

round to $1$ decimal places

Interpret the confidence interval in context: round all values to $1$ decimal place

We are

$\%$ Select an answer $vv$ that the difference in

Select an answer $vv$ class size between

Hillsboro and St$.$ Helens is between and