The formula used to calculate the T Statistic (t) is:
\[ t = \frac{X - \mu}{\frac{s}{\sqrt{n}}} \]
Where:
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.
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.
