NZ Scholarship Statistics Practice Questions - New Zealand Scholarship Statistics Assessment Exam

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If a statistician quadruples the sample size (n) from 100 to 400 while maintaining identical sample distribution characteristics, what is the expected impact on the width of the 95% bootstrap confidence interval?

The confidence interval width will be approximately halved The confidence interval width will be reduced by a factor of four The confidence interval width will double due to increased data range The confidence interval width will remain unchanged because bootstrap proportions stay fixed

Correct Answer:

The confidence interval width will be approximately halved

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