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 α=0.01, does this sample provide enough evidence to conclude that the average house size of a new home in the county has changed since? 2006?
b. Use technology to determine the? p-value for this test.
a. Determine the null and alternative hypotheses. Choose the correct answer below.
H0?: μ=2,275 and H1?: μ≠2,275
Determine the critical? value(s).
The critical? value(s) is(are) ______.
?(Round to three decimal places as needed. Use a comma to separate answers as? needed.)