Statistics

T-Statistic - Statistics

Learn the t-statistic with examples, step-by-step guide, and calculator tools. Test statistic for t-test

The t-statistic is a fundamental concept in statistics. Test statistic for t-test. This page provides a comprehensive guide with worked examples and practical applications.

The Formula

\[t = \frac{\bar{x} - \mu}{s / \sqrt{n}}\]

Variables

t
T-statistic
Sample mean
μ
Population mean
s
Sample standard deviation
n
Sample size

Step-by-Step Guide

  1. 1

    Step 1: Gather your data values

  2. 2

    Step 2: Apply the formula

  3. 3

    Step 3: Perform the calculations

  4. 4

    Step 4: Interpret the result

Examples

Example 1

Example 1: [] → t = (52 - 50) / (5 / √25) = 2 / 1 = 2

Example 2

Example 2: 2

Frequently Asked Questions

What is the t-statistic?

Test statistic for t-test

How do I calculate t-statistic?

Use the formula: t = \frac{\bar{x} - \mu}{s / \sqrt{n}}. Follow the steps provided above.

What tools can help with t-statistic?

We provide online calculators: statistics-calculator

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