What is the One-Sample T-Test Calculator?

The One-Sample T-Test Calculator is a statistical tool designed to help students, researchers, and analysts determine whether the mean of a sample is significantly different from a known population mean. By entering the sample mean, population mean, sample standard deviation, and sample size, the calculator computes the t-score. This allows users to assess hypotheses about a single group quickly and accurately, providing a convenient alternative to manual calculations.

How to Use:

1. Enter Sample Mean (X̄): Input the average value from your sample data.
2. Enter Population Mean (μ): Input the known mean of the population.
3. Enter Sample Standard Deviation (s): Input the standard deviation of the sample. Must be greater than zero.
4. Enter Sample Size (n): Input the number of observations in your sample. Must be at least 1.
5. Click “Calculate”: The tool computes the t-score using the formula t=Xˉ−μs/nt = \frac{X̄ – μ}{s / \sqrt{n}}t=s/n​Xˉ−μ​.
6. Review Result: The output displays the sample mean, population mean, sample standard deviation, sample size, and the calculated t-score, formatted clearly for easy interpretation.