One-Sample t-Test Calculator
Test whether a sample mean differs from a hypothesized population mean when the population standard deviation is unknown.
Formula / method
t = (x̄ − μ₀)/(s/√n), df = n−1.
How to use
Use data from the same population, sample or study definition and keep paired observations aligned.
Understanding a one-sample t test
Use this test to compare one sample mean with a hypothesized population mean when the population standard deviation is unknown. The t statistic scales the observed difference by its estimated standard error.
Interpretation
The p-value describes how incompatible the observed statistic is with the null model. Statistical significance does not by itself establish practical importance, so also inspect the size of the difference.
What this calculator answers
The One-Sample t-Test Calculator uses the requested values to calculate the requested result. The core method is t = (x̄ − μ₀)/(s/√n), df = n−1.. This makes the assumptions visible so you can check whether the inputs match your situation.
How to get a useful result
Use data from the same population, sample or study definition and keep paired observations aligned.
How to interpret it
Statistical output describes the entered sample/model. It does not by itself prove causation, practical significance or that model assumptions are satisfied.
Before relying on the number
Recheck unusual inputs, confirm units and compare the result with any official quote, statement, specification or rule that applies to the real decision. Small changes in rates, time periods or measurements can materially change some results.