Question: A real estate agent claims that there is no difference between the mean household incomes of two neighborhoods. The mean income of 12 randomly selected households from the first neighborhood was $18, 250 with a standard deviation of $1200. In the second neighborhood, 10 randomly selected households has a mean income of $17,500 with a standard deviation of $950. Assume normal distributions and population variances are not equal. Test the claim at level \[\alpha =0.05.\]