## Article Categories

Book categories, collections.

- Academics & The Arts Articles
- Math Articles
- Statistics Articles

## How to Use the T-table to Solve Statistics Problems

Statistics: 1001 practice problems for dummies (+ free online practice).

## Sign up for the Dummies Beta Program to try Dummies' newest way to learn.

- First, find the t-value for which you want the right-tail probability (call it t), and find the sample size (for example, n).
- Next, find the row corresponding to the degrees of freedom (df) for your problem (for example, n – 1). Go across that row to find the two t-values between which your t falls. For example, if your t is 1.60 and your n is 7, you look in the row for df = 7 – 1 = 6. Across that row you find your t lies between t-values 1.44 and 1.94.
- Then, go to the top of the columns containing the two t-values from Step 2. The right-tail (greater-than) probability for your t-value is somewhere between the two values at the top of these columns. For example, your t = 1.60 is between t-values 1.44 and 1.94 (df = 6); so the right tail probability for your t is between 0.10 (column heading for t = 1.44); and 0.05 (column heading for t = 1.94).

Use the t table to find t*-values (critical values) for a confidence interval involving t:

- Determine the confidence level you need (as a percentage).
- Determine the sample size (for example, n).
- Look at the bottom row of the table where the percentages are shown. Find your % confidence level there.
- Intersect this column with the row representing your degrees of freedom (df).

## Practice solving problems using the t-table sample questions below

Hence, the upper-tail probability for a t- value of 2.35 must lie between 0.025 and 0.01.

## About This Article

This article is from the book:.

## About the book author:

This article can be found in the category:.

- Statistics ,
- Statistics: 1001 Practice Problems For Dummies Cheat Sheet
- Checking Out Statistical Symbols
- Terminology Used in Statistics
- Breaking Down Statistical Formulas
- Sticking to a Strategy When You Solve Statistics Problems
- View All Articles From Book

## How to Read the t-Distribution Table

This tutorial explains how to read and interpret the t-Distribution table .

## What is the t-Distribution Table?

- 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)

Let’s walk through some examples of how to use the t-Distribution table.

## Examples of How to Use the t-Distribution Table

The following examples explain how to use the t-Distribution table in several different scenarios.

## Example #1: One-tailed t-test for a mean

## Example #2: Two-tailed t-test for a mean

## Example #3: Determining the critical value

## Example #4: Comparing a critical value to a test statistic

Question: The test statistic t turns out to be 1.48. Can she reject the null hypothesis?

## Should You Use the t Table or the z Table?

## Additional Resources

## Published by Zach

Your email address will not be published. Required fields are marked *

Build a Robo Advisor with Python (From Scratch)

## t Table: t Distribution Table with Usage Guide

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)

## What is the t-distribution?

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

- 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!

## Leave a Comment Cancel reply

Save my name, email, and website in this browser for the next time I comment.

2022 © Kharpann Enterprises Pvt. Ltd. All rights reserved.

To log in and use all the features of Khan Academy, please enable JavaScript in your browser.

## AP®︎/College Statistics

- When to use z or t statistics in significance tests
- Example calculating t statistic for a test about a mean
- Using TI calculator for P-value from t statistic

## Using a table to estimate P-value from t statistic

- Comparing P-value from t statistic to significance level
- Free response example: Significance test for a mean

## IMAGES

## VIDEO

## COMMENTS

The six steps of problem solving involve problem definition, problem analysis, developing possible solutions, selecting a solution, implementing the solution and evaluating the outcome. Problem solving models are used to address issues that...

A statistical table contains several components designed to illustrate the data, including a title for the table, the table number, the heading and subheadings, the table body, the table spanner, dividers and table notes.

Two examples of probability and statistics problems include finding the probability of outcomes from a single dice roll and the mean of outcomes from a series of dice rolls. The most-basic example of a simple probability problem is the clas...

How to use the t-table to find right-tail probabilities and p-values for hypothesis tests involving t: · Determine the confidence level you need

How to use the t table · Step 1: Choose two-tailed or one-tailed · Step 2: Calculate the degrees of freedom · Step 3: Choose a significance level.

Using the T table · How To Know Which Statistical Test To Use For Hypothesis Testing · Student-t Distribution and Using the t-Chart · Find T Score(

I work through examples of finding the p-value for a one-sample t test using the t table. (It's impossible to find the exact p-value using

Answer: For a t-test with one sample, the degrees of freedom is equal to n-1, which is 18-1 = 17 in this case. The problem also tells us that

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 calculate a two-sided confidence interval for a t-test, take the positive critical value from the t-distribution table and multiply it by your sample's

In a significance test about a population mean, we first calculate a test statistic based on our sample results. We can then use a table to estimate the

T-Distribution Table (One Tail) ; ∞, ta = 1.282, 1.645, 1.960, 2.326 ; 1, 3.078, 6.314, 12.706, 31.821

Step 1: Subtract one from your sample size. This will be your degrees of freedom. Step 2: Look up the df in the left hand side of the t-distribution table.

... Statistics Problems - dummies. How exactly does a t-table differ from a z-table? Learn about all the important statistical differences here.