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Interview prep / Statistics

Statistics interview questions: page 2 of 2

Questions 51–94

  1. Expectation of the normal exponential martingaleMedium
  2. Skewness of a shifted Laplace distributionMedium
  3. Estimating error variance in a five-point line fitEasy
  4. F statistic comparing two bolt makers' variabilityEasy
  5. Do 400 of 1000 sales signal a favourite planEasy
  6. z statistic for 36 salespeople averaging 17 dealsEasy
  7. Coefficient variance after stacking two copies of dataEasy
  8. Average of two unknowns from a five-number meanEasy
  9. Series with powers of one half via a uniform expectationMedium
  10. Mean of the smaller coordinate under density c(1 minus y)Medium
  11. Variance of a product of independent variablesEasy
  12. Slope t statistic after doubling all data valuesEasy
  13. R squared when every observation appears twiceEasy
  14. Type II error of a coin test when heads has chance 0.7Easy
  15. Correlation after rescaling and shifting variablesEasy
  16. Significance level of a drug efficacy test on 20 patientsEasy
  17. z statistic for a favourite among three shoe coloursEasy
  18. Power of a binomial drug test when true rate is 60 percentMedium
  19. Direction of slope change when axes are swappedEasy
  20. Correlation after affine maps with opposite signsEasy
  21. Pooled t-test p-value for weekend versus weekday spendingHard
  22. Correlation when standard deviations simply addEasy
  23. Variance of the height of a random point on a sphereMedium
  24. Expected minimum of three 100-sided diceHard
  25. Spread of the average output across 25 bakersEasy
  26. Expected colour runs in a shuffled deckMedium
  27. Variance of a standard uniform variableEasy
  28. Rolling a die until a value repeatsEasy
  29. Disease test posterior plus a binomial drug trialEasy
  30. Does duplicating 50 observations raise correlationEasy
  31. Z-test, power and sample size for chef outputEasy
  32. F statistic comparing two bolt variancesEasy
  33. Testing whether green quilts are preferredEasy
  34. Cover time of a random walk on a complete graphEasy
  35. Variance of the club count in an eight-card handEasy
  36. Explaining the GARCH(1,1) volatility modelMedium
  37. Spread of the integers one through fiveEasy
  38. Posterior for a coin whose bias is uniformMedium
  39. Margin of error for a 1000-person pollEasy
  40. What maximum likelihood estimation meansEasy
  41. Cointegration of price series explainedMedium
  42. GARCH models for time-varying volatilityMedium
  43. Are asset returns really GaussianEasy
  44. Where to reinforce planes given survivor damageEasy