Single-sample t-Test for a Population Mean- Sigma Not Known

This is a simple calculator for conducting a hypothesis test for a single-sample t-test, sigma not known. [Note: some authors refer to this as the Small Sample test.]

Important Note: BUS 233 Requirements for using the t-distribution:

  1. The population standard deviation, sigma (σ), is not known.
  2. The population is normally distributed or the random sample size is greater than or equal to (>=) 30.

If sigma is known, use the z-test [here]. If sigma is not known, use the t-test.

Hope this helps.
Dr. Dawn