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One-Sample t Statistic Calculator

Calculate a one-sample t statistic from a mean, hypothesized mean, SD and sample size.

Reviewed/updated September 8, 2026
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What is the One-Sample t Statistic Calculator?

Calculate a one-sample t statistic from a mean, hypothesized mean, SD and sample size. ITS Research Solution keeps the interactive tool above the explanation so you can calculate first and then review the method used.

Formula or method

t = (x̄ − μ0) / (s/√n).

How to use this tool

Enter the requested values using consistent units, run the calculation and review the main result plus any supporting values. A sample mean of 52 compared with μ0=50 is standardized by its standard error.

Interpretation and limitations

This tool reports the test statistic and degrees of freedom; formal hypothesis testing also requires assumptions and a chosen alpha level. Always check source data, units, rounding and discipline-specific requirements before using a result in assessed, published, regulated or high-stakes work.

Questions

Frequently asked questions

How is this result calculated?

t = (xu0304 u2212 u03bc0) / (s/u221an).

Can I use this result in formal academic or research work?

Use it as a transparent calculation aid, then verify the assumptions, units, rounding and any institution-, journal- or field-specific requirements before formal use.