A travel agency claims that the average daily cost of meals and lodging for vacationing in Texas is less than the average daily cost in Virginia. The table at the left shows the results of a random survey of vacationers in each state. The two samples are independent. Assume that σ₁ = $20 for Texas and σ₂ = $25 for Virginia, and that both populations are normally distributed. At α = 0.01, is there enough evidence to support the claim?