Question: A recent MBA graduate, who is not too bright, is trying to decide between two job offers, one in Trenton and one in Maui. DUH! One factor affecting his decision is the cost of a new home in each city. A recent study sampled 66 new home sales in the Trenton area and found that the mean selling price of a new home was $176,900 with a population standard deviation of $59,000. A similar Maui study based on a sample of 54 new home sales found that the mean selling price was $198,500 with a population standard deviation of $49,800. Conduct a test at the .034 level of significance to determine if there is any real difference in the mean selling price of new homes in these two cities.