Suppose the average size of a new house built in a certain county in 2006 was 2,276 square feet. A random sample of 20 new homes built in this county was selected in 2010. The average square footage was 2,195, with a sample standard deviation of 227 square feet.

a)

Using =0.05, does this sample provide enough evidence to conclude that the average house size of a new home in the county has changed since2006?

b)

Identify and interpret the critical sample mean or means for this problem.

c)

Use technology to determine thep-value for this test.

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