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Confidence Interval Variation Problems

Confidence Interval Variation Problems
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2013-09-26 02:26
Probability & StatisticsSlider AnimationGraphing
In collections Statistics Demonstrations
This example demonstrates how a confidence interval changes when the confidence level, standard deviation, or sample size varies. Key math concepts include confidence intervals, standard deviation, sample size, and statistics. It is constructed using GeoGebra commands like Sequence, Element, and If, making it suitable for high school students and beginners in statistics.

GeoGebra Commands & Parameters

  1. Sequence(Mod[(3 * k), 8], k, 0, 7) → RndSq
  2. Element(RndSq, Seed) → Qst
  3. If(Mod[Qst - 1, 2] ≟ 0, 0, 1) → A
  4. If(Mod[Qst - 1, 4] > 1, 1, 0) → B
  5. If(Qst - 1 > 3, 1, 0) → C
  6. If(A ≟ 1, Ainc, Adec) → PartA
  7. If(B ≟ 1, Binc, Bdec) → PartB
  8. If(C ≟ 1, Cinc, Cdec) → PartC
  9. If(A ≟ 1, "increases.", "decreases.") → DirA
  10. If(B ≟ 1, "increases.", "decreases.") → DirB
  11. If(C ≟ 1, "decreases.", "increases.") → DirC

AI Drawing Prompt Reference

Create a statistical graph showing three key objects representing how a confidence interval changes with confidence level, standard deviation, and sample size variations. Use sliders to control these variables and observe the corresponding increase or decrease in the objects. Indicate the direction of change (increase or decrease) with arrows. First draw the three base objects, then modify their appearance based on slider values, and finally connect them to form a cohesive graph.
The prompt above was compiled from the original drawing commands and is for reference only.