11.4. Chapter Exercise#
Apply the key ideas from this chapter in the connected task below. Work in your own notebook or local project. Keep your implementation, reasoning, and verification results together.
11.4.1. Estimate with a bootstrap interval#
Use a real chapter dataset and define the population, available sample, and parameter you want to estimate.
Compute the estimate and generate a bootstrap distribution by resampling the observed sample with replacement. State the percentile convention and confidence level.
Compare interval widths at two confidence levels and verify a small percentile calculation by hand. Explain repeated-sampling coverage and limitations caused by unrepresentative data or an unsuitable bootstrap statistic.
Return to the chapter lessons as needed: Percentiles, The Bootstrap, Confidence Intervals.