Question: Explain the results of Exercise 5 28 on page 164 in
Explain the results of Exercise 5.28 on page 164 in light of Theorem 8.6.
Answer to relevant QuestionsIf a random sample of size n is selected without replacement from the finite population that consists of the integers 1, 2, . . . , N, show that (a) The mean of is N + 1 / 2; (b) The variance of is (N + 1)(N – n) / ...Use Theorem 4.14 on page 135 and its corollary to show that if X11, X12, . . . , X1n1 , X21, X22, . . . , X2n2 are independent random variables, with the first n1 constituting a random sample from an infinite population with ...Use the method of Exercise 8.25 to find the approximate value of the probability that a random variable having a chi-square distribution with v = 50 will take on a value greater than 68.0. Verify that if X has an F distribution with v1 and v2 degrees of freedom and v2 → ∞, the distribution of Y = v1X approaches the chi-square distribution with .1 degrees of freedom. Find the sampling distribution of the median for random samples of size 2m+ 1 from the population of Exercise 8.46.
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