The following data show the average monthly utility bills for a random sample of households in Huntsville (group1) and for a random sample of households in the Woodlands (group2).

Round your answer to 3 decimals if needed.

Huntsville Woodlands

Sample mean $370.44 $340.52

Sample Size 33 36

Population Standard Deviation 64 58

Construct a 95% Confidence Interval to estimate the difference in the mean utility bills in two cities.

Please show work, thanks.