Suppose that we took an SRS of 1600 eighth-graders and found ã = 285. Compared with an SRS of 2500 eighth-grad the margin of error for a 95% confidence interval for u is smaller. larger. either smaller or larger, but we can not say which. the same.

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The National Assessment of Educational Progress (NAEP) includes a mathematical 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 2500 eighth-graders from a large
population in which the scores have mean u = 282 and standard deviation o = 110. The mean x will vary if you take
repeated samples.
Suppose that we took an SRS of 1600 eighth-graders and found x = 285. Compared with an SRS of 2500 eighth-graders,
the margin of error for a 95% confidence interval for u is
smaller.
larger.
either smaller or larger, but we can not say which.
the same.
Transcribed Image Text:The National Assessment of Educational Progress (NAEP) includes a mathematical 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 2500 eighth-graders from a large population in which the scores have mean u = 282 and standard deviation o = 110. The mean x will vary if you take repeated samples. Suppose that we took an SRS of 1600 eighth-graders and found x = 285. Compared with an SRS of 2500 eighth-graders, the margin of error for a 95% confidence interval for u is smaller. larger. either smaller or larger, but we can not say which. the same.
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