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One Sample T Test Calculator

Work out one sample t test instantly with clear inputs, formula shown and shareable results.

About One Sample T Test Calculator

The one-sample t-test compares a sample mean to a hypothesised value, dividing the difference by the standard error s/√n. The result is compared against the t distribution on n − 1 degrees of freedom.

Formula

One-sample t

t = (x̄ − μ₀) / (s/√n), df = n − 1

Worked example

With the default values below, One Sample T Test Calculator returns t statistic of 2.39583333. Change any input above and every figure here is recalculated in your browser.

Inputs used

Sample mean
52.3
Hypothesised mean
50
Sample standard deviationminimum 0
4.8
Sample sizeminimum 2
25

Results

t statistic
2.39583333
Two-tailed p value
0.02473441
Degrees of freedom
24
Decision at 5%
Reject the null hypothesis at the 5% level

Step by step

  1. 1Values used
  2. 2One-sample t
  3. 3t statistic= 2.39583333
  4. 4Two-tailed p value= 0.02473441
  5. 5Degrees of freedom= 24

Assumptions and limits

  • The result is derived only from the 4 inputs listed above. Anything not among them is not part of the calculation.
  • In particular, this calculator does not take inflation, tax, fees or charges or compounding frequency into account.
  • Figures are rounded for display to 8 decimal places, so totals built from several rounded parts can differ slightly from the unrounded arithmetic.

How these calculators are built and tested is described on the Methodology page. If a figure looks wrong, please report it.

Frequently Asked Questions

For x̄ = 52.3 against μ₀ = 50 with s = 4.8 and n = 25?

The standard error is 0.96, so t = 2.3958 on 24 df, giving p ≈ 0.0247 — significant at 5%.

What does the p value mean?

The probability of seeing a difference this large or larger if the null hypothesis were true.

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