TI 83 calculator for statistics > T distribution on a TI 83

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## T distribution on a TI 83: Overview

The **T distribution** (sometimes called Student’s T) is actually a set of distributions, differentiated by the degrees of freedom (df). There’s only a slight difference between the t distribution and a normal distribution; for some situations (like a very small sample), you have to use the t-dist to find probabilities.

Take a look at a traditional textbook T table, and you’ll actually find *many* T tables, which can be a little overwhelming. Instead of poring over tables, you can use a **TI 83 graphing calculator** to assist you in finding T values.

You might be asked to find the area under a T curve, or (like Z scores), you might be given a certain area and asked to find the T score.

## Finding a T-Value on the TI 83

Click here for our article on finding T Critical Values on the TI 83.

## T distribution on a TI 83: Steps

**Sample problem**: Find the area under a T curve with degrees of freedom 10 for P( 1 ≤ X ≤ 2 ). Use the t distribution on a TI 83.

**Step 1:** Press 2nd VARS 5 to select **tcdf(**.

**Step 2:** Enter the lower and upper bounds, and the degrees of freedom. The lower bound is the lowest number and the upper bound is the highest number: 1 , 2 , 1 0 )

Your screen should now read **tcdf(1,2,10)**

**Step 3:** Press ENTER. The answer is **.133752549**, or about **13.38%**.

That’s how to find a T distribution on a TI 83!

**Questions**? Post a comment and I’ll do my best to help!

Check out my YouTube channel for more statistics help and tips.

Thanks, greet web site.

However, how could be possible to determine t-value of t-table starting from the percentage of confidence and degrees of freedom manually ? it is really difficult for a non-mathematic like me, to better understand and apply. In other words, i there the possibility to show me a step by step example on how to arrive to –> degrees of freedom = 100 | confidence percentage 95% | two sides => t = 1,984 ?

thank you

Look at this article: http://www.statisticshowto.com/one-sample-t-test/

It describes how to find a t-score with a given alpha level and degrees of freedom.

The alpha level is just 100 – confidence interval. For example a 95% CI would given you 100 – 95 = 5% alpha.