Calculate variance for A/B test results

Last updated: November 10, 2025

Quick Overview

Given the following scenario about revenue per session, calculate the the sample size needed.

Tesla
Statistics & Math
Data Scientist
Tesla
November 10, 2025
Data Scientist
Technical Screen
Statistics & Math
Medium

6

8

4,403 solved


Given the following scenario about revenue per session, calculate the the sample size needed.

This statistics question from Tesla's Technical Screen tests your ability to apply mathematical reasoning to practical problems. The interviewer expects precise definitions, correct methodology, and awareness of assumptions and limitations.

What the Interviewer Expects
  • Set up the problem formally with proper notation
  • Apply the correct statistical test with clear justification
  • Interpret results with appropriate caveats and confidence levels
  • Discuss practical significance vs statistical significance
  • Identify potential confounders and how to address them
Key Topics to Cover
Conditional probability and Bayes theorem
Hypothesis testing (H0, H1, p-values)
Confidence intervals and significance levels
Multiple testing correction (Bonferroni, FDR)
Bayesian vs frequentist inference
Probability distributions
How to Approach This
  1. Define your hypotheses (H0 and H1) clearly before performing any test.
  2. Calculate required sample size BEFORE running an experiment, using power analysis.
  3. Remember the Central Limit Theorem: sample means become approximately normal with large n.
  4. Watch for Simpson's paradox. Always segment data by key dimensions.
  5. Distinguish between statistical significance and practical significance.
Possible Follow-up Questions
  • What assumptions does this test make, and how would you validate them?
  • How would you explain this result to a non-technical audience?
  • What alternative statistical method could you use here?
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Sample Answer
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