stats

Hypothesis T-Test

One-sample, two-sample, and paired T-tests — t-stat, p-value, Cohen's d, rejection region.

Test Configuration
Test Type
Hypothesis Tail
Sample Data
Results
t-statistic
Degrees of freedom
p-value (two-tailed)
Conclusion α = 0.05
Conclusion α = 0.01
Cohen's d
t = (x̄−μ₀)/(s/√n)  ·  Welch df for two-sample
p-value via regularized incomplete beta function
(Abramowitz & Stegun continued-fraction method)