Welcome to our **one-sample z-test guide**. This guide provides a comprehensive overview of the z-test, a statistical procedure used to compare a sample mean to a known population mean. This test is applicable when the population standard deviation ($\sigma$) is known. Our guide and the linked calculator make it easy to perform a **one-sample z-test online free** and simplify the data analysis process.
The z-statistic for a one-sample z-test is given by the formula:
$$z = \frac{\bar{x} - \mu_0}{\sigma / \sqrt{n}}$$
where:
Use our intuitive tool to perform a **z-test analysis tool with known variance**. Enter your data to get accurate results, including the p-value. This is a comprehensive tool for anyone looking for a **statistical test with known population standard deviation**.
We offer a free, comprehensive online tool that addresses all of the following statistical needs. Click on any of the phrases to be directed to our calculator.