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Which of the following null hypotheses is tested by the two-sample Kolmogorov-Smirnov test?

easy📝 Conceptual Q2 of 15
SciPy - Statistical Tests
Which of the following null hypotheses is tested by the two-sample Kolmogorov-Smirnov test?
ABoth samples come from the same continuous distribution
BBoth samples have the same mean
CBoth samples have the same variance
DBoth samples have the same median
Step-by-Step Solution
Solution:
  1. Step 1: Identify KS test null hypothesis

    The two-sample KS test checks if two samples come from the same continuous distribution.
  2. Step 2: Differentiate from other tests

    Tests for means or variances are different (e.g., t-test, F-test), KS test focuses on distribution equality.
  3. Final Answer:

    Both samples come from the same continuous distribution -> Option A
  4. Quick Check:

    KS null hypothesis = same distribution [OK]
Quick Trick: KS test null is about distribution equality, not mean or variance [OK]
Common Mistakes:
MISTAKES
  • Assuming KS tests mean equality
  • Confusing KS with variance tests
  • Thinking KS tests median equality

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