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  • Perplex
    IB Math AIHL
    /
    Inference & Hypotheses
    /

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    Inference & Hypotheses

    Foundations

    Key exercises

    Track what you need to practice to master this unit.

    Speed Run

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    Speed Run

    Improve speed and accuracy with a timed multiple-choice quiz.

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    Exam-Style Problems

    IB: 4

    2 problems

    IB: 5

    18 problems

    IB: 6

    17 problems

    IB: 7

    3 problems

    All Concepts

    Thumbnail for Hypothesis Testing and p-values

    Exploring a simplified coin flip example to lay the foundation of null and alternative hypotheses, p-values and significance levels.

    Hypothesis Testing and p-values
    Thumbnail for χ² tests

    Testing whether observations fit predictions, and whether events are independent, using a χ² distribution.

    χ² tests
    Thumbnail for Further χ² tests & unbiased estimators

    Using chi squared tests where numerical categories need to be combined, and goodness of fit tests using estimated parameters.

    Further χ² tests & unbiased estimators
    Thumbnail for Student's t-test

    Using the t-distribution to compare a sample mean to a population mean with unknown variance.

    Student's t-test
    Thumbnail for Z-test and Confidence Intervals

    Z-tests when the standard deviation is known, confidence intervals using Z and T distributions, critical values & regions, type Ⅰ vs ⅠⅠ errors.

    Z-test and Confidence Intervals
    Thumbnail for Binomial & Poisson Tests

    Hypothesis testing using Binomial and Poisson distributions.

    Binomial & Poisson Tests