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14. ANOVA
14. ANOVA / Introduction to ANOVA / Problem 11
Problem 11

A researcher wants to test whether the variance of test scores in School A is greater than that in School B at the α=0.05 \alpha = 0.05 significance level. The sample variances and sizes are: s12=520,n1=7 s_1^2 = 520, n_1 = 7 for School A and s22=410,n2=8 s_2^2 = 410, n_2 = 8 for School B. Assume both populations are normally distributed and samples are independent. What is the correct decision regarding the claim σ12>σ22 \sigma_1^2 > \sigma_2^2 ?