We randomly select 100 Pell grant recipients from two states. State A is a relatively small state with approximately 4,000 Pell grant recipients. State B is a large state with approximately 200,000 Pell grant recipients. Suppose that the mean and standard deviation in individual Pell grants is approximately the same for both states: μ = $ 2 , 600 and σ = $ 800. For which state is the sample mean for our 100 Pell grant recipients most likely to be within $80 of $2,600?