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Two-Tailed T-Test Demo

Two-Tailed T-Test Demo
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2019-11-08 16:49
FunctionCalculusProbability & StatisticsGeometric ConstructionSlider Animation
This example demonstrates the process of a two-tailed T-test, including critical regions and P-value calculation. Key math concepts involve hypothesis testing, T-distribution, critical values, and probability computation. GeoGebra commands used include InverseTDistribution for critical value calculation, Segment for region drawing, Integral for P-value, and Textfield for displaying results. Parameters like n, alpha, zsd, zmean are manipulated via sliders for interactive learning, suitable for high school students and beginners in statistics.

GeoGebra Commands & Parameters

  1. InverseTDistribution(n - 1, 1 - alpha / 2) → cvhigh
  2. InverseTDistribution(n - 1, alpha / 2) → cvlow
  3. Segment(Clow, (cvlow, f(cvlow))) → i
  4. Integral(f, cvhigh, Infinity) → a
  5. Segment(D, (zxbar, f(zxbar))) → h
  6. Integral(f, zxbar, Infinity) → p1
  7. Segment(Chigh, (cvhigh, f(cvlow))) → g
  8. Integral(f, -Infinity, cvlow) → a2
  9. Textfield(alpha) → InputBox1
  10. Integral(f, -Infinity, zxbar) → p2
  11. Integral(f, (-zxbar), Infinity) → p2b
  12. Integral(f, -Infinity, (-zxbar)) → p1a
  13. Textfield(n) → InputBox2
  14. InverseTDistribution(n - 1, 0.95) → b