What is the Z-Test Calculator?

The Z-Test Calculator is a statistical tool designed to help students, researchers, and analysts determine how far a sample mean is from a population mean in terms of standard deviations. By entering the sample mean, population mean, population standard deviation, and sample size, the calculator computes the z-score. This allows users to assess the significance of the sample mean and make decisions about hypotheses, providing a quick and accurate way to perform one-sample z-tests without manual calculations.

How to Use:

1. Enter Sample Mean (X̄): Input the average value from your sample data.
2. Enter Population Mean (μ): Input the known mean of the population.
3. Enter Population Standard Deviation (σ): Input the standard deviation of the population. Must be greater than zero.
4. Enter Sample Size (n): Input the number of observations in your sample. Must be at least 1.
5. Click “Calculate”: The tool computes the z-score using the formula Z=Xˉ−μσ/nZ = \frac{X̄ – μ}{σ / \sqrt{n}}Z=σ/n​Xˉ−μ​.
6. Review Result: The output displays the sample mean, population mean, population standard deviation, sample size, and the calculated z-score, with clear formatting for easy interpretation.