# Question

The average size of a home in 2008 fell to 2343 square feet, according to the National Association of Home Builders and reported in USA Today (January 11, 2009). The homebuilders of a northeastern city feel that the average size of homes continues to grow each year. To test their claim, a random sample of 45 new homes was selected and revealed an average of 2490 square feet. Assuming that the population standard deviation is approximately 450 square feet, is there evidence that the average size is larger in the northeast compared to the national 2008 figure? Use a 0.05 level of significance.

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