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I knew bootstrapping conceptually but had never actually written it from scratch under pressure.
Start by clarifying the problem and assumptions, then outline a vectorized NumPy implementation that resamples indices with replacement and computes means efficiently. Explain the performance rationale behind vectorization, memory considerations, and the statistical validity of the bootstrap.
Pro tip: Mention that for very large arrays, you can use a chunked or online approach to avoid memory blowup, and that setting a random seed ensures reproducibility—both are critical in production experimentation at scale.
Confirm the input is a 1D array of order values, discuss whether to use the standard percentile bootstrap, and note any assumptions like independence and identical distribution.
Describe the bootstrap procedure: for each of 10,000 iterations, sample n indices with replacement, compute the mean, and store the results.
Use NumPy to vectorize the resampling: generate a 2D array of random indices (10,000 x n) and compute means along the appropriate axis, avoiding Python loops.
Justify vectorization for speed, discuss memory trade-offs (e.g., generating all indices at once vs. chunking), and mention using np.random.default_rng for modern random number generation.
Calculate the 2.5th and 97.5th percentiles of the bootstrap means to form the 95% CI, and briefly interpret it in the context of e-commerce order values.
AI-generated suggestions, not part of the candidate's original notes. May be inaccurate — verify before relying on them.