Question: Problem 7.5: We have samples of reading scores from 5 boys and 11 girls. We form a ratio of variances of the two samples \(\frac{s_{B}^{2}}{s_{G}^{2}}\)

(a) If many samples of size 5 and 11 are drawn, (i) what is the proportion of F values greater than 2.61 that we should expect? (ii) What is the proportion less than 4.47?

(b) What assumptions are implied in your approach?