7. Sampling Distributions & Confidence Intervals: Mean / Confidence Intervals for Population Mean / Problem 3
Problem 3
A sport psychologist measures the change in reaction time (in units of seconds) for athletes before and after a specialized training program. Negative values indicate a faster reaction time post‑training. The observed sample is: . Ten bootstrap samples (with the replacement) of size are drawn, and their means (in ascending order) turn out to be: . Using only these ten bootstrap means, construct an confidence interval estimate for the true mean change in reaction time.