A real estate agent believes that the mean home price in the northern part of a county is higher than the mean price in the southern part of the county and would like to test the claim. A simple random sample of housing prices is taken from each region. The results are shown below.

Southern Northern

Mean 155.056 168.889

Variance 345.938 560.928

Observations 18 18

Pooled Variance 453.433

Hypothesized Mean Difference 0

df 34

t Stat 1.949

P(T<=t) one-tail 0.030

t Critical one-tail 2.441

P(T<=t) two-tail 0.060

t Critical two-tail 2.728

Confidence Level 99%

n =

t =

p =

Degrees of freedom df =

Point estimate for the southern part of the country xs =

Point estimate for the northern part of the country xn =