For the hypothesis test,H₀: σ₁²= σ₂²,with n₁ = 10 and n₂ = 10,the F-test statistic is 2.56. At the 0.02 level of significance,we would reject the null hypothesis.

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To determine whether to reject the null hypothesis, we need to compare the F-test statistic to the critical value from the F-distribution table at the given level of significance for the degrees of freedom associated with the sample sizes. Without knowing the critical value for the specific degrees of freedom and the exact level of significance (two-tailed or one-tailed), we cannot definitively say the null hypothesis would be rejected based solely on the F-test statistic value.

For the Hypothesis Test,H0: σ12= σ22,with N1 = 10 and N2

For the Hypothesis Test,H₀: σ₁²= σ₂²,with N₁ = 10 and N₂