A school administrator wants to see if there is a difference in the number of students per class for Tigard

Public School district $($group $1)$ compared to the Lake Oswego School district $($group $2).$ A random sample

of $28$ Tigard classes found a mean of $32$ students per class with a standard deviation of $6.$ A random

sample of $25$ Lake Oswego classes found a mean of $36$ students per class with a standard deviation of $4.$

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

that the difference in

class size between

Tigard and Lake Oswego is between

and