t-Test Hypothesis Test Visualizer

Check whether your one-time sample mean is consistent with a population mean by locating its t-value on the t-distribution.

By Chenguang Pan.

We compute the sample mean and sample SD from these values.

t-Distribution with Your t-Value

df = 9 t = 0.00 p-value (two-tail) = 1.0000 critical t (α=0.05) = 2.262

Sample Summary

n = 10 mean = 11.00 sample SD = 1.83 SE = 0.58
Assume your sample comes from the population with mean μ₀.
Compute df = n − 1 and use the corresponding t-distribution.
Compute t = (x̄ − μ₀) / (s / √n).
Compare |t| to the two-tail critical value at α.

Decision

Decision: —
If |t| is in the extreme tails, the sample is unlikely under the assumed population mean.