t Distribution (CDF/Inverse Critical Values) — Notebook Template

Compute t CDF values and critical t quantiles for confidence intervals and hypothesis tests (educational).

stats t-distribution hypothesis-testing

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What this template does

This is a ready-to-run GetCalcMaster Notebook starter. Open it into Notebook, run once with defaults, then tweak inputs and keep your assumptions next to the math.

How to use it (recommended)

Open in Notebook.
Set degrees of freedom df and a t value.
Compute tcdf(t, df).
Compute critical values via tinv(p, df) (e.g., p=0.975 for two-sided 95%).
Verify symmetry: tcdf(-t,df) ≈ 1 - tcdf(t,df).

Tip: When a result matters, verify it twice: a unit check + a second method (graph/estimate).

Preview (first cells)

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TEXT

# Student's t Distribution

Functions:
- `tcdf(t, df)`
- `tinv(p, df)`

For a two-sided 95% critical value: use `p=0.975`.

MATH

df = 10

MATH

t = 2.228

MATH

p_left = tcdf(t, df)

MATH

p_left

MATH

p = 0.975