Business, 03.04.2020 00:33 Hi1234t6

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 most likely to be within $80 of $2,600?

A. State A because the sample represents a larger segment of this small population.
B. State B because there is less variability in larger populations so estimates from samples are more accurate.
C. Equally likely because σ=$800 for both states.

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We randomly select 100 Pell grant recipients from two states. State A is a relatively small state wi...

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