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t-Distribution Confidence Intervals and Tests

t-Distribution Confidence Intervals and Tests
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2018-11-27 19:35
FunctionCalculusProbability & Statistics
In collections Pearson Maths A level Further Statistics 2
This example demonstrates how to calculate confidence intervals and perform hypothesis tests using the t-distribution. Key math concepts include t-distribution, confidence intervals, hypothesis testing, and probability & statistics. It utilizes GeoGebra commands like TDistribution, Sequence, Vector, NSolutions, Element, and Integral in its construction. Suitable for high school students and statistics enthusiasts.

GeoGebra Commands & Parameters

  1. TDistribution(ν, x, true) → tcum
  2. Sequence(Segment[(-100, i), (100, i)], i, -50, 50, 1) → list2
  3. Sequence(Segment[(i, -100), (i, 100)], i, -50, 50, 1) → list4
  4. Vector((0, 0), (0, 1)) → v
  5. TDistribution(ν, x, false) → tpdf
  6. NSolutions(tcum(x) = 1 - Probability) → CRIT
  7. Element(CRIT, 1) → a
  8. Integral(tpdf, a, 30) → int1