t-Statistic Calculator
Calculate the one-sample t-statistic from your sample mean, hypothesized population mean, standard deviation, and sample size.
What the t-statistic measures
The one-sample t-statistic tells you how many standard errors your sample mean is away from a hypothesized population mean. It is a core building block of the one-sample t-test used in hypothesis testing.
The formula
t = (x̄ − μ) / (s / √n), where x̄ is the sample mean, μ is the hypothesized population mean, s is the sample standard deviation, and n is the sample size. Degrees of freedom equal n − 1.
To decide statistical significance, compare the calculated t value to a critical value from a t-distribution table (or its p-value) at your chosen degrees of freedom and significance level. This tool is for general educational and planning purposes, not a substitute for full statistical software or professional analysis.