Determine the p-value for this testnbsp show all work

Question

A STAT 200 instructor is interested in whether there is any variation in the final exam grades between her two classes. Data collected from the two classes are as follows:

Section 1:  n₁ = 28,   x₁^- = 80,   s₁ = 16

Section 2:  n₂ = 25,   x₂^- = 75,   s₂ = 12

Her null hypothesis and alternative hypothesis are:

H0: = σ₁² - σ₂²,    and   H_a: σ₁² > σ₂²

Determine the test statistic. Show all work; writing the correct test statistic, without supporting work, will receive no credit.  

Determine the P-value for this test.  Show all work; writing the correct P-value, without supporting work, will receive no credit. 

Is there sufficient evidence to justify the rejection of H0 at the significance level of 0.05? Explain.