Because of uncertainty in real estate markets, many homeowners are considering remodelling and constructing additions rather than selling. Probably the most expensive room in the house to remodel is the kitchen. In terms of resale value, is remodelling the kitchen worth the cost? Assume that the following cost and resale figures have been collected for 11 cities and that the average cost to remodel the kitchen is $23,400. Use these data to construct a 99% confidence interval for the difference between cost and added resale value of kitchen remodelling. Assume the differences are normally distributed in the population.

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City Calgary Edmonton Fredericton Halifax London, ON Montreal Regina Toronto Vancouver Victoria Winnipeg Cost $20,427 27,255 22,115 23,256 21,887 24,255 19,852 23,624 25,885 28,999 20,836 Resale $25,163 24,625 12,600 24,588 19,267 20,150 22,500 16,667 26,875 35,333 16,292