In 2006, the average number of new single-family homes built per town in the state of Maine was 14.325 (www.mainehousing.org). Suppose that a random sample of 42 Maine towns taken in 2009 resulted in an average of 13.833 new single-family homes built per town. Here standard deviation for all is 4.241 new single-family homes. Using the 5% significance level, can you conclude that the average number of new single-family homes per town built in 2009 in the state of Maine is significantly different from 14.325? Use both the p-value and critical-value approaches.

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