A STAT 230 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:= 31,= 78,= 10Section 2:= 30,= 72,= 14Her null hypothesis and alternative hypothesis are::=, and:<(a) Determine the test statistic.(b) Determine the-value for this test.(c) Is there sufficient evidence to justify the rejection ofat the significance level of0.05? Explain.