In Hamilton County,Ohio, the mean number of days needed to sell a house in 86 days. Data for the sale of 40 houses in a nearby county showed a sample mean of 80 days with a sample standard deviation of 20 days. Conduct a hypothesis test to determine whether the mean number of days until a house is sold is different than the hamilton county mean of 86 days in the nearby county. Use a=.05 for the level of significance and state your conclusion.