The average size of a home in 2003 was 2320 square feet according to the National Association of Home Builders and reported in USA Today Snapshots

(November 27, 2004). The homebuilders of a northeastern city believe that the average size of homes continues to increase each year. To test their claim, a random sample of 45 new homes was selected;

they 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 has increased since the 2003 figure? Use a 0.05 level of significance.