Appendix A.38
Two-Sample t-Test (Welch's)
Compare means of two independent populations using Welch's t-test (unequal variances).
Two-Sample t-Test Calculator (Independent Samples)
Welch's t-test for comparing two population means
Sample 1
Sample 2
Null:
Alternative:
df:
49.30
Calculations
Difference
Standard Error
SE = 2.1365
Degrees of Freedom
df = 49.30
Test Statistic
t₀ = 2.0126
t-Distribution (df = 49.30)
Classical Approach
Critical Region: t < -2.012 or t > 2.012
t₀ = 2.0126 is in rejection region
P-Value Approach
P-value = 0.0496
P-value < α = 0.05
Reject H₀
At the α = 0.05 level, there is sufficient evidence to conclude that the two population means are different.