(All Steps) We have samples of reading scores from 5 boys and 11 girls. We form a ratio of variances of the two samples (s_B^2)/(s_G^2) If many samples of


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

  1. 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?
  2. What assumptions are implied in your approach?

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