T-Test Calculator for a Single Sample

This calculator performs a one-sample t-test to determine whether your sample mean is significantly different from a known or hypothesized population mean.

When to Use

Use the one-sample t-test when you want to compare the mean of a single sample to a known or hypothesized population value.

Examples

  • Testing if class average differs from national average
  • Checking if product ratings differ from expected value
  • Comparing treatment group to historical control

Requirements

  • Sample is randomly selected
  • Data is approximately normally distributed
  • Population standard deviation is unknown

Null Hypothesis

H₀: μ = μ₀ (sample mean equals population mean)