Suppose the Department of Energy would like to compare residential utility bills for different cities in the United States. A random sample of households was selected, and their utility bills for the month were recorded. The number of bedrooms in the houses was also noted. These data can also be found in the file utility bills. xlsx.
a. Using α = 0.05, is there significant interaction between the number of bedrooms and the city?
b. Using a two way ANOVA and α = 0.05, does the number of bedrooms have an effect on the average monthly utility bill?
c. Using a two way ANOVA and α = 0.05, does the city have an effect on the average monthly utility bill?
d. If warranted, determine which means are significantly different using α = 0.05.
e. Construct an interaction plot for the number of bedrooms and the city.