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T-Test Calculator

Compare means of two groups to determine if they're statistically different.

Input Data

n = 5, mean = 26.60

n = 5, mean = 22.00

Results

T-Statistic
2.4730
✓ Statistically Significant
P-Value
0.013399
p < 0.05
Mean Difference
4.6000
Degrees of Freedom
8
Standard Error
1.8601

Understanding T-Tests

A t-test determines whether there's a statistically significant difference between the means of two groups. It's one of the most commonly used statistical tests.

Types of T-Tests

  • Independent (Two-Sample): Comparing two separate groups (e.g., treatment vs control)
  • Paired (Dependent): Comparing same group before/after (e.g., pre-test vs post-test)

Interpreting Results

  • P-value < 0.05: Statistically significant difference (reject null hypothesis)
  • P-value ≥ 0.05: No significant difference (fail to reject null hypothesis)
  • Larger |t-statistic|: Stronger evidence of difference

Example

Comparing test scores between two teaching methods:

  • Method A: 23, 25, 27, 28, 30 (mean = 26.6)
  • Method B: 18, 20, 22, 24, 26 (mean = 22.0)
  • Result: t = 3.46, p = 0.008 → Significant difference (Method A is better)