T Statistic Calculator

Calculate T Statistic









T Statistic Formula

The formula used to calculate the T Statistic (t) is:

\[ t = \frac{X - \mu}{\frac{s}{\sqrt{n}}} \]

Where:

What is a T Statistic?

A t statistic is a statistic that defines the relationship between a sample and a population. In other words, it is a measure of the accuracy of a sample in estimating the population mean.

Example Calculation

Let's assume the sample mean (X) is 5, the population mean (μ) is 3, the standard deviation (s) is 2, and the sample size (n) is 10.

Using the formula:

\[ t = \frac{5 - 3}{\frac{2}{\sqrt{10}}} = \frac{2}{\frac{2}{3.16}} = \frac{2}{0.632} \approx 3.16 \]

Therefore, the T Statistic (t) is approximately 3.16.