If X has an F distribution with v1 and v2 degrees of freedom, show that Y = 1/X has an F distribution with v2 and v1 degrees of freedom.
Answer to relevant QuestionsUse the result of Exercise 8.41 to show that Find the sampling distribution of the median for random samples of size 2m+ 1 from the population of Exercise 8.46. With reference to part (b) of Exercise 8.52, find the covariance of Y1 and Yn. How many different samples of size n = 3 can be drawn from a finite population of size (a) N = 12; (b) N = 20; (c) N = 50? A random sample of size 64 is taken from a normal population with µ = 51.4 and σ = 6.8. What is the probability that the mean of the sample will (a) Exceed 52.9; (b) Fall between 50.5 and 52.3; (c) Be less than 50.6?
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