Suppose the average size of a new house built in a certain county in 2006 was 2,275 square feet. A random sample of 25 new homes built in this county was selected in 2010. The average square footage was 2,199, with a sample standard deviation of 230 square feet.

a. Using =0.01, does this sample provide enough evidence to conclude that the average house size of a new home in the county has changed since2006?

b. Use technology to determine thep-value for this test.

a. Determine the null and alternative hypotheses. Choose the correct answer below.

H0: =2,275 and H1: 2,275

Determine the criticalvalue(s).

The criticalvalue(s) is(are) ______.

(Round to three decimal places as needed. Use a comma to separate answers asneeded.)