Question: An independent government agency is interested in comparing the heating cost of all- electric homes and those of homes heated with natural gas. A sample of eight all-electric homes is matched with eight homes of similar size and other features that use natural gas. The heating costs for last January are obtained for each home. At the 0.05 significance level is there reason to believe there is a difference in heating costs?

Matched Pair

Electric Heat Gas Heat

1 265 260

2 271 270

3 260 250

4 250 255

5 248 250

6 280 275

7 257 260

8 262 260