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Z Confidence Interval Variation Demo

Z Confidence Interval Variation Demo
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2019-02-28 00:43
FunctionTrigonometryCalculusProbability & StatisticsGraphing
This example demonstrates the dynamic variation of Z confidence intervals and their graphical representation. It involves core mathematical concepts such as confidence intervals, upper and lower bounds, exponential functions, piecewise functions, combinatorics, and trigonometry. The construction uses GeoGebra commands like Segment, CircleArc, and Sequence. Suitable for high school and above, particularly in probability & statistics and calculus education.

GeoGebra Commands & Parameters

  1. Segment(LeftFixEnd, RightFixEnd) → FixInt
  2. Segment(LeftVarEnd, RightVarEnd) → VarInt
  3. CircleArc(LeftFixCent, LeftFixTop, LeftFixBot) → LeftFixCap
  4. CircleArc(RightFixCent, RightFixBot, RightFixTop) → RightFixCap
  5. CircleArc(LeftVarCent, LeftVarTop, LeftVarBot) → LeftVarCap
  6. CircleArc(RightVarCent, RightVarBot, RightVarTop) → RightVarCap
  7. Segment(P34, P50) → Xaxis
  8. Sequence(Segment[(k, 0), (k, -0.2)], k, 34, 50, 2) → Tics
  9. Sequence(Text[k, (k - 0.175, -0.65)], k, 34, 50, 2) → Labels

AI Drawing Prompt Reference

Draw a graph showing the dynamic variation of Z confidence intervals, including fixed and variable endpoints forming the intervals, represented by arcs for upper and lower bounds, with an axis and tick marks to illustrate the changes and mathematical relationships of the confidence intervals.
The prompt above was compiled from the original drawing commands and is for reference only.