Suppose the average size of all new houses built in a certain county in 2006 was 2,195 square feet with a standard deviation of 225 square feet. A random sample of 25 new homes built in this county was selected in 2010 and found that the average square footage was 2,272. At a = 0.01, does this sample provide enough evidence to conclude that the average house size of a new home in the county has increased since 2006? Assume that the house size is approximately distributed as Normal. Conduct your test using the critical value method