A Home Owners' Association has determined that the average number of days a house was in the market for sale was 90 days, before it was sold. A real estate agency believes that in certain section of Long Island, the average number of days the houses remained in the market before sales was less than 90. It selected a random sample of 10 homes that were sold in this section in order to justify what it believes. The following data represents the number of days that each of these 10 homes stayed in the market before sale?  87, 95, 78, 83, 110, 75, 82, 92, 90, 80 At 0.01 level of confidence and assuming that population is approximately normal, is the real estate agency justified in its belief?