Two Independent samples' Standard deviations hypothesis test (2-Samp F-Test)

Samples must be from normal populations. And independent.
H0: samples from populations with same standard deviations: σ12

H0: σ1 = σ2
Choose one:
HA: σ1 < σ2 "HA < H0" Left-tailed
HA: σ1 > σ2 "HA > H0" Right-tailed
HA: σ1 ≠ σ2 "HA ≠ H0" Two-tailed

Independent samples data: can be different sizes
X1:
X2:

OR Enter the n and s for each sample:
n1:    n2:
s1:    s2:

df numerator:   df denominator:
F: ratio of the samples' variances. Largest s is numerator (ignore subscripts).
NB. doesn't look up critical value... "under construction". Use the p-value.

p-value (FCDF(t)):


F distribution:
two independent samples selected from two normally distributed populations with same population variances THEN the sampling distribution of the ratio of the sample variances is the F distribution.
A family of curves and tables, for each α and combo of df's of numerator and denominator where the largest variance s2 is the numerator.
F test value is always ≥ 1
Weights:
63 88.9 71.1 83.6 84.2 76.3 69.5 74.4 81.4 72 85.5 111.1
90.8 86.1 101.1 76.9 63 98.4 83.5 65.1 111.5 78

Errors
w/alcohol n=22 s=2.2
w/o   "   n=22 s= .72