Appendix A.39
F-Test (Two Variances)
Compare the variances of two populations using the F-test for equality of variances.
F-Test Calculator (Two Variances)
Compare variability between two populations
Warning: This test is extremely sensitive to departures from normality. Both populations must be normally distributed.
Sample 1
Sample 2
Null:
Alternative:
df₁:
19
df₂:
24
Calculations
s₁²
156.2500
s₂²
68.8900
df₁
19
df₂
24
Test Statistic
F-Distribution (df₁ = 19, df₂ = 24)
Classical Approach
Critical Region: F < 0.4078 or F > 2.3452
F₀ = 2.2681 is NOT in rejection region
P-Value Approach
P-value = 0.0595
P-value ≥ α = 0.05
Fail to Reject H₀
At the α = 0.05 level, there is insufficient evidence to conclude that the two population variances are different.