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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.
-Increase the confidence level to 99%.
A) 2.53 to 2.77 (narrower)
B) 2.50 to 2.80 (the same)
C) 2.46 to 2.84 (wider)

Question

Use the following 
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.
-Increase the confidence level to 99%.
A) 2.53 to 2.77 (narrower)
B) 2.50 to 2.80 (the same)
C) 2.46 to 2.84 (wider)

Quizplus · Accepted Answer

Increasing the confidence level from 95% to 99% would result in a wider confidence interval, as a higher confidence level requires capturing more of the data's variability.

Use the Following