One-Sample t-Test Helper
Compare a continuous sample mean with a hypothesised mean using a two-sided t-test.
One-Sample t-Test Helper
Browser-only calculations · No input data saved
Worked example results
- Sample mean
- 5
- t statistic
- 1.322876
- Degrees of freedom
- 7
- Two-sided p-value
- 0.227453
- Decision
- Do not reject H0. This does not prove equality.
Rounded for display only. Export includes the inputs, results, method and assumptions. Refreshing or leaving the tool clears entered data.
How to use One-Sample t-Test Helper
- Load the worked example to see the required input format.
- Compare a continuous sample mean with a hypothesised mean using a two-sided t-test. Use consistent units, periods and definitions.
- Select Calculate, review the assumptions and export the result for your project evidence.
Formula and method
t = (sample mean − μ₀)/(s/√n); df = n−1. The two-sided p-value uses the Student t distribution.
Interpretation and assumptions
Pre-specify H0: μ = μ₀ and the significance level. Data should be independent and approximately normal for a small sample, without severe outliers. This helper does not choose a test or replace study design.
Results support professional judgement. They are not a certification of process stability, a financial commitment or a substitute for study design.
Frequently asked questions
How do I use the one-sample t-test helper?
Compare a continuous sample mean with a hypothesised mean using a two-sided t-test. Load the example first, then replace all inputs with consistent process data and select Calculate. t = (sample mean − μ₀)/(s/√n); df = n−1. The two-sided p-value uses the Student t distribution.
What assumptions matter for one-sample t-test helper?
Pre-specify H0: μ = μ₀ and the significance level. Data should be independent and approximately normal for a small sample, without severe outliers. This helper does not choose a test or replace study design.
Are my calculator inputs saved or sent to a server?
These native calculations run in this browser tab. Inputs are not sent to a server or saved by this calculator. Download the result if you need a record; leaving or refreshing clears the form.