Suppose the average size of a new house built in a certain county in 2006 was 2,268 square feet. A random sample of 16 new homes built in this county was selected in 2010. The average square footage was 2,188 with a sample standard deviation of 226 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. Identify and interpret the critical sample mean or means for this problem

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

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

H0: =2,268 and H1: 2,268

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

A.

Upper H 0H0:

mu equals 2 comma 268=2,268

and

Upper H 1H1:

mu greater than 2 comma 268>2,268

B.

Upper H 0H0:

mu not equals 2 comma 2682,268

and

Upper H 1H1:

mu equals 2 comma 268=2,268

C.

Upper H 0H0:

mu equals 2 comma 268=2,268

and

Upper H 1H1:

mu not equals 2 comma 2682,268

D.

Upper H 0H0:

mu greater than or equals 2 comma 2682,268

and

Upper H 1H1:

mu less than 2 comma 268<2,268

Determine the criticalvalue(s).

The criticalvalue(s) is(are) ______.

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