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Two Variances and F Distribution
10. Hypothesis Testing for Two Samples / Two Variances and F Distribution / Problem 1
Problem 1

A researcher compares the variability of scores from two independent samples drawn from normal populations. The sample variances are s12s_1^2 and s22s_2^2. She defines the FF test statistic as F=sl2ss2F=\(\frac{s_{l}\)^2}{s_{s}^2}, where sl2s_{l}^2 is the larger of the two sample variances.
True or False: The resulting FF statistic can ever be less than 11.