3. Test whether the length of time in Chicago is long than national average. 1. Let's think about the house price. According to the Case-Shiller Home Price lndices in August 2009, Chicago and San Francisco have following sample mean and population standard deviations (the sample mean was calculated by daily base, so the sample size was 30): CHICAGO Sample Mean 130.55 132 47 Populaonstandardnewsman - 1) Using hypothesis test, prove if these house price indices are same. (Setup a hypothesis, show your works to perform the test, and state your verdict)