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One-Sample t-Statistic Calculator — result sheet
Calculate a one-sample t statistic, standard error, and degrees of freedom from summary statistics.
Inputs used
Results
Visual chart
Breakdown
Calculation steps
Returned data table
Formula and methodology
Formula: Standard error=s/√n; t=(sample mean−hypothesized mean)/standard error; degrees of freedom=n−1.
The statistic measures the mean difference in estimated standard-error units when the population standard deviation is estimated from the sample.
This result follows the calculator's declared inputs, precision, validation boundaries, and model limits.
Input contract
- Sample mean — minimum -1.0E+15; maximum 1.0E+15
- Hypothesized mean — minimum -1.0E+15; maximum 1.0E+15
- Sample standard deviation — minimum 1.0E-6; maximum 1.0E+15
- Sample size — minimum 2; maximum 1000000000
Worked example
| Input | Value |
|---|---|
| Sample mean | 105 |
| Hypothesized mean | 100 |
| Sample standard deviation | 10 |
| Sample size | 25 |
Standard error = 2; t = 2.5; degrees of freedom = 24.
Assumptions and limits
- The sample standard deviation uses the sample divisor convention.
- The data design and distribution support a one-sample t procedure if inference is intended.
- This page returns the statistic only; p-values, power, and decision thresholds require a specified alternative and alpha.
Calculator note
Source and methodology
Use the official WorldCalculate methodology policy for the source, formula, precision, and boundary standards behind this calculator.
Planning estimate, not financial, medical, legal, or professional advice. © WorldCalculate — reuse with attribution. Built and curated by Hassan ALRowaie.
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