Statistics

T-Statistic Calculator

Find the one-sample t-statistic.

Calculated Output

t-statistic 2.083

Degrees of freedom 24

Formula: t = (x̄ − μ) ÷ (s ÷ √n)

Step-by-Step Breakdown

1. Values used:

2. Sample mean = 105

3. Population mean = 100

4. Sample SD = 12

5. Sample size = 25

7. t-statistic = 2.083

8. Degrees of freedom = 24

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The math behind it

t = (sample mean − population mean) ÷ (sample SD ÷ √n); degrees of freedom = n − 1.

x̄ 105, μ 100, s 12, n 25 → t 2.08 (df 24).

Significant?

Compare |t| to the critical value for your df and confidence level.