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TI-84 Plus CE STAT CALC
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Statistics Calculator

Distribution Functions

A TI-84 style calculator with 20+ functions — normal, t, χ², F, binomial, geometric, Poisson, and inference tests. Select a function from the DISTR menu on the screen.

normalcdf Result

📐 Critical Value Quick Reference

z* = 1.282 · 80% CI
z* = 1.645 · 90% CI
z* = 1.960 · 95% CI
z* = 2.326 · 98% CI
z* = 2.576 · 99% CI
z* = 3.291 · 99.9% CI

Use -1E99 / 1E99 for ±∞ in cdf bounds. χ², t, and F shapes depend on degrees of freedom; as df→∞ all approach Normal.

🧮 Inference Test Formulas

z = (p̂ − p₀) / √(p₀(1−p₀)/n) — 1-Prop Z-test

z = (p̂₁−p̂₂) / √(p̂c(1−p̂c)(1/n₁+1/n₂)) — 2-Prop Z-test

t = (x̄ − μ₀) / (s/√n) — 1-Sample t-test

t = (x̄₁−x̄₂) / √(s₁²/n₁+s₂²/n₂) — 2-Sample t-test

F = s₁² / s₂² — F-test for equal variances (df₁=n₁−1, df₂=n₂−1)

Reference Tables

Statistical Tables

Interactive critical-value and probability tables computed live. Use the lookup tools to highlight any value.

Standard Normal (z)
Student's t
Chi-Square (χ²)
F-distribution
P(Z < 1.96) = 0.9750area to the LEFT of z

Reading: body = P(Z < z). Row = tenths, column = hundredths. Right-tail = 1 − value.

t* = 1.812df=10, upper-tail 0.05

Reading: body = t* with given one-tail area. Header row = matching confidence level. Bottom row (df=∞) = z critical values.

χ²* = 18.307df=10, right-tail 0.05

Reading: body = χ²* with listed right-tail area. Used for goodness-of-fit, independence, and variance tests.

F* = —df₁, df₂ above

Reading: columns = df₁ (numerator), rows = df₂ (denominator). Body = F critical value at chosen right-tail α. Used for ANOVA and variance ratio tests.