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Suppose that a 95% confidence interval for the slope of a regression line based on a sample of size n = 100 and the percentiles of the slopes for 1,000 bootstrap samples goes from 2.50 to 2.80. For each change described (with all else staying the same), indicate which of the three confidence intervals would be the most likely result.
-Decrease the sample size to n = 60.
A) 2.53 to 2.77 (narrower)
B) 2.50 to 2.80 (the same)
C) 2.46 to 2.84 (wider)

Question

Quizplus · Accepted Answer

Decreasing the sample size generally increases the variability of the estimate, leading to a wider confidence interval.

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