pptx, 16.29 MB
pptx, 16.29 MB

IB Math AI SL 4.11 – Hypothesis Testing & Significance

This lesson introduces students to the process of hypothesis testing, guiding them through the logic of statistical inference and decision-making under uncertainty. Students learn to formulate the null hypothesis (H₀) and alternative hypothesis (H₁), understand the concept of a significance level (α), and interpret p-values as probabilities of observing outcomes as extreme as the sample data under H₀.

The slide deck covers both one-tailed and two-tailed tests, emphasizing contextual conclusions and correct phrasing such as “fail to reject H₀” or “reject H₀.” Students explore three key applications: the chi-squared test for independence, used to determine whether two categorical variables are related; the chi-squared goodness-of-fit test, used to check whether data conforms to an expected distribution; and the t-test, used to compare means between two normally distributed populations. Each test includes step-by-step examples with data tables, calculator methods, and interpretations at common significance levels (1%, 5%).

By the end of the lesson, students can design and evaluate statistical tests, compute test statistics and degrees of freedom, and justify their conclusions with statistical reasoning. Fully aligned with IB Math AI SL Topic 4.11 – Hypothesis Testing and Significance, this resource develops foundational analytical skills essential for interpreting real-world data, assessing claims, and conducting valid inferential analysis.

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IB Math AI Unit 4 - Statistics Slidedeck Bundle

**IB Math AI & HL Unit 4 – Statistics Bundle** **Topics:** Covers all Topic 4 sub-topics from SL and HL, ranging from data presentation and measures of spread, through correlation, regression, discrete and continuous distributions, to hypothesis testing and parametric models. **Level:** IB Mathematics: Applications & Interpretation (SL) and Higher Level (HL) **File Type:** Complete editable slide deck bundle **Bundle Price:** £40 (save 30 % compared to individual purchase) --- ### **Overview** This comprehensive bundle brings together all the slide decks your students need to master the entire **Statistics & Probability Unit (Topic 4)** of the IB Mathematics AI/HL curriculum. From collecting and describing data, to modelling with binomial, normal and Poisson distributions, and completing full hypothesis tests, each lesson is structured to build conceptual understanding and procedural fluency. The decks seamlessly integrate technology use, exam-style reasoning and real-world applications to prepare learners for both SL and HL assessments. --- ### **Learning Outcomes** By the end of the bundle, students will be able to: * Present data using frequency tables, histograms, box-and-whisker plots and cumulative graphs. * Compute and interpret measures of central tendency and spread (mean, median, mode, IQR, standard deviation). * Construct scatter plots, calculate correlation coefficients (Pearson and Spearman) and regression lines, and interpret them in context. * Use discrete models (binomial, Poisson), continuous models (normal), perform standardisation and inverse calculations, and understand expected value and variance. * Understand hypothesis testing frameworks: setting null/alternative hypotheses, using critical regions or p-values, and interpreting Type I and Type II errors. * Design valid data collection methods, choose appropriate categorisations for χ²-tests, and apply technology to compute test statistics. --- ### **What’s Included** * Fully editable PowerPoint slide decks for every subsection of Unit 4 in the IB Math AI syllabus * Complete walkthroughs for each sub-topic with definitions, animations, worked examples and technology integration. * Real-world case studies and context-rich problems that match IB assessment style. * Instruction on using calculators/software for distributions, inverse calculations and hypothesis tests. * Ti-nspire calculator demos! * Flexible teaching tools suited for SL, HL and mixed-level classes. --- ### **Why You’ll Love It** * Full coverage of **Topic 4: Statistics & Probability**, which carries approximately 36 teaching hours at SL and 52 hours at HL. ([Richmond County Schools][2]) * Seamless progression from basic data handling to advanced inferential statistics. * Reduction in planning time: everything ready-to-go and fully editable. * Strong alignment with the IB syllabus framework, making classroom delivery and revision structured and coherent. * Excellent value—30 % reduction on individual slide deck pricing, delivering substantial savings for full-unit coverage. --- ### **Tags** IB Math AI SL, IB Math AI HL, Unit 4, Statistics, Probability, Descriptive Statistics, Correlation, Regression, Binomial Distribution, Normal Distribution, Hypothesis Testing, Editable Slides, Classroom Resources, IB Curriculum.

£40.00

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