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One-sample t Statistic Calculator

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Standardize the difference between a sample mean and a reference mean using sample variability.

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Your result

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On this page How it works & practical examples

How to use the One-sample t Statistic Calculator

Use independent observations and a reference mean chosen for the question of interest. The sample standard deviation uses n−1.

The calculation

t = (sample mean−reference)/(sample standard deviation/√n); df=n−1

Worked example

Observations 8,10,12 compared with reference 9 give t≈0.866 and two degrees of freedom.

Assumptions and limits

Returns only the statistic and degrees of freedom, not a p-value or decision. A t-distribution interpretation requires suitable assumptions; zero sample variation is rejected.

Common questions

Which inputs should I use?

Use independent observations and a reference mean chosen for the question of interest. The sample standard deviation uses n−1.

What does the result exclude?

Returns only the statistic and degrees of freedom, not a p-value or decision. A t-distribution interpretation requires suitable assumptions; zero sample variation is rejected.

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