Calculate 95% Bootstrap Confidence Interval for Order Values
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This question evaluates a data scientist's competence in statistical inference using bootstrap resampling, proficiency with numerical computing for large sample operations, and attention to performance optimization.
Scenario
An e-commerce firm wants a 95% confidence interval for the average order value but only has a single historical sample of order amounts.
Question
Given an array of past order values, write efficient Python code to return the 95% bootstrap confidence interval using 10,000 resamples. Explain your approach and any performance optimizations.
Hints
Use vectorized resampling (np.random.choice) and percentile bounds; avoid Python loops.
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