Construct a 95% Confidence Interval for Comment Counts
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This interview question evaluates statistical assumptions, formulas, estimation strategy, uncertainty, edge cases, and interpretation in a realistic interview setting. A strong answer for Construct a 95% Confidence Interval for Comment Counts states assumptions, handles edge cases, explains trade-offs, and shows how to validate the result clearly.
Scenario
You are analyzing comment activity to distinguish between genuine users and potential fake accounts.
Question
Given a sample of comment counts per user, how would you construct a 95% confidence interval for the population mean? What is the sampling distribution of the sample mean and how does sample size affect its variance? How do you compute and interpret the 95th percentile of the comment distribution?
Hints
Apply the Central Limit Theorem, standard-error = σ/√n, and percentile definition to articulate assumptions and impact of sample size.
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