Design an A/B test for a new checkout flow
Last updated: October 14, 2025
Quick Overview
Design an experiment to test the impact of new pricing tiers. Include sample size calculation, metrics, and analysis plan.
Cruise
Statistics & Math
Data Scientist
Cruise
October 14, 2025Data Scientist
Take-home Project
Statistics & Math
Medium
0
8
2,933 solved
Design an experiment to test the impact of new pricing tiers. Include sample size calculation, metrics, and analysis plan.
This statistics question from Cruise's Take-home Project 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
Probability distributions
Confidence intervals and significance levels
Central Limit Theorem
Regression analysis
How to Approach This
- Define your hypotheses (H0 and H1) clearly before performing any test.
- Calculate required sample size BEFORE running an experiment, using power analysis.
- Remember the Central Limit Theorem: sample means become approximately normal with large n.
- Watch for Simpson's paradox. Always segment data by key dimensions.
- 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 handle multiple comparisons?
- What if the sample size is very small?
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Browse Statistics QuestionsSample Answer
Problem Formulation
To evaluate the impact of new pricing tiers on the checkout flow, we will set up an A/B test where:
- Population: Online customers visiting the checkout page.
- Variables:
- **Independent V...
Solution Approach
- Sample Size Calculation: We need to determine the sample size required to detect a meaningful difference in conversion rates. We will use the formula for sample size for comparing two propo...
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