# T-Test Calculator

Run one-sample or two-sample t-tests from raw data and inspect t statistics, degrees of freedom, and p-values

> Canonical page: https://elysiatools.com/en/tools/t-test-calculator

- **Category:** Math & Numbers

- **Keywords:** t test, hypothesis test, mean comparison, p value, statistics, calculator

## Overview

The T-Test Calculator allows you to perform statistical hypothesis testing on your raw data to determine if there is a significant difference between group means. Whether you are comparing a single sample against a known benchmark or evaluating the difference between two independent groups, this tool provides precise t-statistics, degrees of freedom, and p-values to support your data-driven decisions.

## Inputs

- **Test Type** (select)
- **Sample A** (textarea): Enter numbers separated by commas, spaces, or new lines
- **Sample B (Optional)** (textarea): Required for two-sample t-test
- **Hypothesized Mean** (text): Required for one-sample t-test
- **Alternative Hypothesis** (select)
- **Decimal Precision** (number)

## When to use

- When you need to determine if a sample mean significantly differs from a specific target value.
- When comparing the averages of two independent groups to see if the difference is statistically significant.
- When conducting academic or business research that requires hypothesis testing and p-value validation.

## How it works

- Select your test type: 'One-Sample' for comparing against a target, or 'Two-Sample' for comparing two groups.
- Input your raw data into the sample fields, using commas, spaces, or new lines to separate values.
- Specify your alternative hypothesis (two-tailed, greater than, or less than) and set your desired decimal precision.
- Click calculate to generate the t-statistic, degrees of freedom, and p-value based on your provided data.

## Use cases

- Validating if a new manufacturing process produces parts with a different average weight than the standard.
- Comparing test scores between two different classrooms to see if one teaching method is more effective.
- Analyzing customer survey data to see if satisfaction scores meet a specific internal performance benchmark.

## Frequently asked questions

### What is the difference between a one-sample and two-sample t-test?

A one-sample t-test compares a single group's mean to a known or hypothesized population mean, while a two-sample t-test compares the means of two independent groups.

### What does the p-value indicate?

The p-value helps you determine the significance of your results. A low p-value (typically below 0.05) suggests that the observed difference is unlikely to have occurred by chance.

### How should I format my input data?

You can enter your numbers separated by commas, spaces, or by placing each number on a new line.

### What is the 'Alternative Hypothesis' setting?

This defines the direction of your test: 'Two-Tailed' checks for any difference, while 'Greater Than' or 'Less Than' checks for a specific directional difference.

### Can I adjust the precision of the output?

Yes, you can set the decimal precision between 0 and 10 places to match your reporting requirements.

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