A cell phone company offers two plans to its subscribers. At the time new subscribers sign up, they are asked to provide some demographic information. The mean yearly income for a sample of 31 subscribers to Plan A is $57,000 with a standard deviation of $9,200. For a sample of 26 subscribers to Plan B, the mean income is $61,000 with a standard deviation of $6,500. At the 0.05 significance level, is it reasonable to conclude the mean income of those selecting Plan B is larger?