Question: 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

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: u = $2, 600 and o = $800. For which state is the sample mean for our 100 Pell grant recipients most likely to be within $80 of $2,600? O State A because the sample represents a larger segment of this small population. O State B because there is less variability in larger populations so estimates from samples are more accurate. O Equally likely because g = $800 for both states

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