Hint: Consider the F-distribution and F-statistic in terms of a ratio where you are testing H0: sigma1^2/sigma2^2 = 1
Random samples from two normal populations produced the following statistics:
S1^2 =350, n1 =30, S2^2 =700, n2=30
a. Can we infer at the 10% significance level that the two population variances differ?
b. Now, repeat part a) changing the sample sizes to 15. What happens to the test
statistic when the sample size decreases?