STATS – A demographer, using a random sample of n = 500 people

| December 12, 2016

Question
A demographer, using a random sample of n = 500 people, obtained a 95 percent confidence interval for mean age at marriage (m) in years for US adults. The CI was (26.4, 27.3). Suppose another demographer obtained a separate independent sample of people and also constructed a 95% confidence interval for the same quantity m, what can we say about this new interval as compared to the previous one?
narrower and would be less likely to contain m.
wider and would be more likely to contain m.
narrower and would be more likely to contain m.
It may be wider or narrower, but it has same chance to contain m.
narrower but we can’t be sure if it would be more or less likely to contain m.

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