The national assessment of educational progress (naep) includes a mathematics test for eighth-grade students. scores on the test range from 0 to 500. suppose that you give the naep test to an srs of 900 eighth-graders from a large population in which the scores have mean μ = 285 and standard deviation σ = 125. the mean x will vary if you take repeated samples.

suppose that we took an srs of 1600 eighth-graders and found x = 288. compared with an srs of 900 eighth-graders, the margin of error for a 95% confidence interval for μ is which of the following?

a)smaller
b)larger
c) either smaller or larger, but we can't say which