Fairfield Homes is developing two parcels near Pigeon Forge, Tennessee. In order to test different advertising approaches, it uses different media to reach potential buyers. The mean annual family income for 13 people making inquiries at the first development is $151,000, with a standard deviation of $41,000. A corresponding sample of 28 people at the second development had a mean of $183,000, with a standard deviation of $28,000. Assume the population standard deviations are the same.
At the 0.10 significance level, can Fairfield conclude that the population means are different?