🟪 1-Minute Summary

t-tests and z-tests compare means between groups or against a known value. Use z-test when you know the population standard deviation and have a large sample (n > 30). Use t-test when you don’t know population σ or have small samples. Common types: one-sample, two-sample (independent), and paired t-tests.


🟦 Core Notes (Must-Know)

When to Use t-test vs z-test

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Types of t-tests

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One-Sample t-test

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Two-Sample (Independent) t-test

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Paired t-test

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Assumptions

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🟨 Interview Triggers (What Interviewers Actually Test)

Common Interview Questions

  1. “You have before/after measurements for 20 people. Which test do you use?”

    • [Answer: Paired t-test]
  2. “What’s the main difference between t-test and z-test?”

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  3. “When can you use a z-test instead of a t-test?”

    • [Answer: Large sample, known population σ]

🟥 Common Mistakes (Traps to Avoid)

Mistake 1: Using independent t-test for paired data

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Mistake 2: Using z-test with small samples

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🟩 Mini Example (Quick Application)

Scenario

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Solution

from scipy import stats

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