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One-Sample t-Test

Test H₀: μ = μ₀ against two-sided alternative.

Data
Result

Enter sample data.

Technical Description & Theory

What is Hypothesis Testing t-test Calculator and Why it Matters?

The one-sample t-test decides whether a sample mean differs significantly from a hypothesized value.

Mathematical Formula and Theory

t = (x̄−μ₀)/(s/√n) with n−1 degrees of freedom. Reject H₀ when |t| exceeds the critical value.

How to Use This Calculator - Step by Step

  • Enter sample values, μ₀, and α.
  • Click Run t-Test.

Solved Example with Full Calculation

Sample mean≈12.329, s≈0.412, t≈2.11 (df=6). At α=0.05 we fail to reject H₀: μ=12.