Independent random samples were selected from each of two normally distributed populations, n1 = 16 from population 1 and n2 = 25 from population 2. The means and variances for the two samples are shown in the following table.
Sample 1...................................Sample2
n1 = 16...................................... n2 = 25
x̅1 = 22.5.................................... x̅2 = 28.2
s21 = 2.87................................... s22 = 9.85
a. Test the null hypothesis H0: σ21 = σ22 against the alternative hypothesis Hα: σ21 ≠ σ22. Use α = .05.
b. Find and interpret the p-value of the test.