How does the Two-Sample t-Test work?

t = (x̄₁ − x̄₂) / √(s₁²/n₁ + s₂²/n₂) Then: x̄ = group mean · s² = variance · n = sample size Then: df calculated by Welch-Satterthwaite equation Then: Compare t-statistic to t-distribution at given df and α.

Can you give an example of how to use the Two-Sample t-Test?

Example: Input Group 1: mean=10, SD=2, n=20 · Group 2: mean=8, SD=2.5, n=20 gives a result of t = 2.94 · p ≈ 0.005 → significant (Reject null hypothesis at p<0.05).

Is the Two-Sample t-Test free to use?

Yes — completely free with no registration, download, or subscription required. All calculations happen instantly in your browser.

How accurate is the Two-Sample t-Test?

Our Two-Sample t-Test uses verified mathematical formulas and is accurate to multiple decimal places. Results are calculated in real-time using the same methods used by professionals.

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Two-Sample t-Test

📊Two-sample t-Test

Group 1 values (comma separated)

Group 2 values (comma separated)

The t-test determines whether the means of two groups are statistically different. The independent (two-sample) t-test compares two separate groups; the paired t-test compares the same subjects under two conditions. Developed by William Gosset ('Student') at Guinness Brewery.

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Did You Know?

William Gosset published the t-test in 1908 under the pseudonym 'Student' because Guinness employees were forbidden from publishing — they feared revealing trade secrets.

References

›Student's t-test — Wikipedia

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