Market-Making Interval Estimation Game

A QR/QT interview game: across five rounds the interviewer asks a numeric estimation question and you respond with a closed interval [L, U]. You score 0 if the true answer falls outside your interval and L/U if it falls inside — so tighter honest intervals score higher. The target is reaching at least 2.0 total points. Requirements Five rounds; the goal is to accumulate at least 2.0 total points. Each round: the interviewer poses a numeric question and you report a closed interval [L, U] you believe contains the answer. Scoring: if the true answer is outside [L, U], you score 0 for that round; if inside, you score L/U. A wider interval is safer but scores less; a tighter interval scores more but risks missing. Examples True answer = 16: reporting [20, 40] scores 0 (16 is outside); reporting [10, 30] scores 10/30 ≈ 0.33. Notes The game directly tests calibrated estimation: you must balance the probability of containment against the L/U reward, which pushes you to the tightest interval you still trust. It is typically preceded by the classic HR "eight big questions" round (English/communication screen) and followed by a structured-problem (SPD) round. Preparation Practice Fermi / market-sizing estimation and translate your uncertainty into an interval whose width reflects your true confidence. Calibrate by drilling estimation questions and checking how often your stated intervals actually contain the answer; aim the width at the L/U scoring sweet spot.