Interactive Inference Studio

Rivu Basu Hypothesis Testing Lab

Explore Z-tests, t-tests, and one-way ANOVA by generating data, watching sampling distributions respond in real time, and seeing how p-values, critical regions, and decisions move together.

Single-file HTML Offline ready Interactive sampling CSV import + export
Learning Focus
Core Tests
Z, t, F

Switch among one-sample, independent, paired, and ANOVA designs.

Visual Logic
Curves + data

Critical regions, p-value shading, and sample plots stay linked.

Learning Mode
Step-by-step

Plain-language interpretation and why each distribution is chosen.

Experiments
Preset demos

See sample size, variance, and group separation change inference.

Visualization

Distribution + Sample View

Acceptance region Critical / p-value region Observed statistic
A. Sampling Distribution

Standard normal curve

Interactive density hover enabled
Critical shading updates when α, tails, or test type changes. Sampling markers: 0
B. Sample Data

Histogram and sample mean

Drag mean line for one-sample tests
Synthetic data is regenerated from the controls unless a CSV is loaded.
Quiz Mode

Which test should you use?

Scenario ready

Loading scenario...

Pick the design that best matches the data structure and question.
Quantity Value Meaning
Sampling Log Statistic Decision