**Greetings!**Some links on this site are affiliate links. That means that, if you choose to make a purchase, The Click Reader may earn a small commission

*at no extra cost to you*. We greatly appreciate your support!

The t table or t distribution table is used in statistics when the standard deviation (σ) of a population is not known and the sample size is small, that is, n<30.

The t table is a table that shows the critical values of the t distribution and is given below:

## How to use the t Table or t Distribution Table?

Using the t table is fairly simple during a t-test since you only need to know three values:

- The degrees of freedom of the t-test
- The number of tails of the t-test (one-tailed or two-tailed)
- The alpha level of the t-test (common choices are 0.01, 0.05, and 0.10)

In the t-table, the first column denotes the degrees of freedom of the t-test. So, when you conduct a t-test, you can compare the test statistic from the t-test to the critical value from the t table or t distribution table.

If the test statistic is greater than the critical value found in the table, then you can reject the null hypothesis of the t-test and conclude that the results of the test are statistically significant.

You can learn more about how to use the t table to solve statistics problems in this article by Dummies.

## What is the t-distribution?

The t-distribution or student’s t-distribution is a type of normal distribution that is used for smaller sample sizes where there are more observations towards the mean and fewer observations in the tails.

This means the t-distribution forms a bell curve when plotted on a graph. It is used to find the corresponding p-value from a statistical test that uses the t-distribution such as t-tests and regression analysis.

## When do you use the t table and the z table?

Both t table and z table are used when the population standard deviation is unknown. However, if the sample size is less than 30 then the t table should be used and if not, the z table should be used.

The z table is given below:

That is it for this article. If you are still confused about how to use the t table, please let us know in the comments.

Do you want to learn Python, Data Science, and Machine Learning while getting certified? Here are some best selling Datacamp courses that we recommend you enroll in:

- Introduction to Python (Free Course) - 1,000,000+ students already enrolled!
- Introduction to Data Science in Python- 400,000+ students already enrolled!
- Introduction to TensorFlow for Deep Learning with Python - 90,000+ students already enrolled!
- Data Science and Machine Learning Bootcamp with R - 70,000+ students already enrolled!