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Confidence Intervals Visualization

Confidence Intervals Visualization
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2016-08-15 03:44
CalculusProbability & StatisticsGeometric Construction
In collections Confidence Intervals
This example demonstrates how to create and visualize confidence intervals using GeoGebra, covering core math concepts like confidence intervals, polygons, cylinders, linear equations, Pythagorean theorem, and statistical characteristics. It utilizes commands such as Normal, Textfield, Sequence, TableText, Append, Integral, Element, and Segment for construction. Suitable for high school students and educators needing to understand statistical inference concepts.

GeoGebra Commands & Parameters

  1. Normal(0, 1, x) → f
  2. Textfield(nconf) → CasillaDeEntrada1
  3. Textfield(xbarra) → CasillaDeEntrada2
  4. Textfield(σ) → CasillaDeEntrada3
  5. Textfield(pr) → CasillaDeEntrada4
  6. Sequence(k, k, 0, 2.9, 0.1) → udec
  7. Sequence(k, k, 0, 0.09, 0.01) → cent
  8. Sequence(Normal[0, 1, Element[udec, k] + Element[cent, 1]], k, 1, Length[udec]) → c1
  9. Sequence(Normal[0, 1, Element[udec, k] + Element[cent, 2]], k, 1, Length[udec]) → c2
  10. Sequence(Normal[0, 1, Element[udec, k] + Element[cent, 3]], k, 1, Length[udec]) → c3
  11. Sequence(Normal[0, 1, Element[udec, k] + Element[cent, 4]], k, 1, Length[udec]) → c4
  12. Sequence(Normal[0, 1, Element[udec, k] + Element[cent, 5]], k, 1, Length[udec]) → c5
  13. Sequence(Normal[0, 1, Element[udec, k] + Element[cent, 6]], k, 1, Length[udec]) → c6
  14. Sequence(Normal[0, 1, Element[udec, k] + Element[cent, 7]], k, 1, Length[udec]) → c7
  15. Sequence(Normal[0, 1, Element[udec, k] + Element[cent, 8]], k, 1, Length[udec]) → c8
  16. Sequence(Normal[0, 1, Element[udec, k] + Element[cent, 9]], k, 1, Length[udec]) → c9
  17. TableText({udec}, "vc_") → texto7
  18. Sequence(" " + (Text[Element[cent, k]]) + " ", k, 2, 10) → textocent
  19. Append(" 0.00", textocent) → textocent2
  20. Sequence(Normal[0, 1, Element[udec, k] + Element[cent, 10]], k, 1, Length[udec]) → c10
  21. TableText({c1, c2, c3, c4, c5, c6, c7, c8, c9, c10}, "vc|_") → aula
  22. Textfield(n) → CasillaDeEntrada5
  23. TableText({textocent2}, "hc") → texto8
  24. Sequence(A + (k / 29 * (B - A)), k, 0, 29) → verticales
  25. Sequence(C + (k / 9 * (D - C)), k, 0, 9) → horizontales
  26. Integral(f, -Infinity, z_{α/2}) → h
  27. Integral(f, z_{α/2}, Infinity) → g
  28. Element(verticales, fila) → Pfila
  29. Element(horizontales, columna) → Qcolumna
  30. Segment(Pfila, PQ) → i
  31. Segment(Qcolumna, PQ) → j

AI Drawing Prompt Reference

Create a visualization of confidence intervals featuring a normal distribution curve and multiple intervals represented by colored lines, labeled with key values like mean and standard deviation. Start by drawing the normal curve, then construct the intervals based on input confidence levels, and finally add guide lines and text annotations.
The prompt above was compiled from the original drawing commands and is for reference only.