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 µ = 282 and standard deviation o = 110. The mean ī will vary if you take repeated samples. Suppose that we computed a 90% confidence interval for µ. Which is true? This 90% confidence interval could have either a smaller or a larger margin of error than the 95% confidence interval. This varies from sample to sample. This 90% confidence interval would have a smaller margin of error than the 95% confidence interval. This 90% confidence interval would have a larger margin of error than the 95% confidence interval. |This 90% confidence interval would have the margin of error as the 95% confidence interval.

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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 computed a 90% confidence interval for u. Which is true?
This 90% confidence interval could have either a smaller or a larger margin of error than the 95% confidence interval.
This varies from sample to sample.
This 90% confidence interval would have a smaller margin of error than the 95% confidence interval.
This 90% confidence interval would have a larger margin of error than the 95% confidence interval.
This 90% confidence interval would have the margin of error as the 95% confidence interval.
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 computed a 90% confidence interval for u. Which is true? This 90% confidence interval could have either a smaller or a larger margin of error than the 95% confidence interval. This varies from sample to sample. This 90% confidence interval would have a smaller margin of error than the 95% confidence interval. This 90% confidence interval would have a larger margin of error than the 95% confidence interval. This 90% confidence interval would have the margin of error as the 95% confidence interval.
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