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One-Sample t-Test Calculator

Math Calculators

t=(x̄−μ₀)/(s/√n) · t stat, p-value, significance

Quick Answer

One-Sample t-Test Calculator: t=(x̄−μ₀)/(s/√n) · t stat, p-value, significance. One-Sample t-Test Calculator uses standard math formulas to compute accurate results instantly.

How it works

  1. 1t=(x̄−μ₀)/(s/√n), df=n−1
  2. 2Enter sample mean, hypothesized mean, SD and n
  3. 3Two-sided p: larger |t| → smaller p
  4. 4p<0.05 = significant (choose 0.01/0.001 as needed)

Test inputs

t statistic2.000df=63
Two-sided p：0.046
SE s/√n：1.000
Verdict (α=0.05)：Significant
Assumes near-normal data (be careful when n<30 with skew) or large n via CLT. The p-value uses a normal approximation — negligible at n≥30; for small samples the t distribution has heavier tails, so borderline p (0.04-0.06) should be confirmed with exact software. t answers "is there a difference", not "how big" — pair with our Cohen's d tool.

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How to Use

  1. Enter values or expressions: type directly into the One-Sample t-Test Calculator — keyboard friendly.
  2. Instant results: everything computes live as you type, no button needed.
  3. Follow the steps: the result panel shows full working and formula substitution.
  4. Copy or recompute: one-click copy; change any input to recalculate instantly.

Key Points

  • One-Sample t-Test Calculator is a free online math tool — open and use, no sign-up.
  • All calculations run locally in your browser; your data never leaves the device.
  • Key capability: t=(x̄−μ₀)/(s/√n) · t stat, p-value, significance.
  • Results come with formulas and reference tables so you can verify every number.

Formula & How It Works

One-Sample t-Test Calculator formula

One-Sample t-Test Calculator uses standard math formulas to compute accurate results instantly.

FAQ

How do I use the One-Sample t-Test Calculator?
Open the page and fill in the input fields — results update automatically. t=(x̄−μ₀)/(s/√n) · t stat, p-value, significance.
Are the results accurate?
Yes. All calculations use standard mathematical formulas and are verified for accuracy.
Is it free? Do I need to sign up?
Completely free. No registration, login or download required — just open and use.
Does it work on mobile?
Yes. The responsive design works on phones, tablets and desktops.
Is my data saved?
No. All calculations run locally in your browser. Nothing is uploaded or stored.

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Source & Updates

Standard mathematical formulas. All logic verified. Last updated: 2025-07

Last updated:

Formulas and content on this page are reviewed by the YiJianSuan team. For reference only — official sources prevail.

Maintained and periodically reviewed by the YiJianSuan editorial team — review process in ourEditorial Policy.

Cite this page: YiJianSuan. One-Sample t-Test Calculator[EB/OL]. https://www.yijiansuan.com/en/c/math/t-test

Results provided by this tool are for reference only and do not constitute professional advice.