Use the transformation technique based on Theorem 7.2 on page 218 to rework the proof of Theorem 8.14. Let f = u/v1 v/v2 and w = v.)
Answer to relevant QuestionsShow that for v2 > 2 the mean of the F distribution is v2 / v2 – 2, making use of the definition of F in Theorem 8.14 and the fact that for a random variable V having the chi-square distribution with v2 degrees of freedom, ...Use the result of Exercise 8.41 to show that Find the sampling distributions of Y1 and Yn for random samples of size n from a population having the beta distribution with α = 3 and β = 2. Use the result of Exercise 8.54 to find the sampling distribution of R for random samples of size n from the continuous uniform population of Exercise 8.46. Find the value of the finite population correction factor N – n / N – 1 for (a) n = 5 and N = 200; (b) n = 50 and N = 300; (c) n = 200 and N = 800.
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