Explain confidence interval with an example
Last updated: December 19, 2025
Quick Overview
Explain confidence interval in simple terms and provide a concrete example.
Salesforce
December 19, 202526
6
2,028 solved
Explain confidence interval in simple terms and provide a concrete example.
This statistics question from Salesforce'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
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
- How would you handle multiple comparisons?
- How would you design a follow-up experiment based on these results?
- What assumptions does this test make, and how would you validate them?
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Problem Formulation
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Solution Approach
To calculate the confidence interval, follow these steps:
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