Question: Find the percentage errors of the approximations of Exercises 8 26
Find the percentage errors of the approximations of Exercises 8.26 and 8.28, given that the actual value of the probability (rounded to five decimals) is 0.04596.
Answer to relevant QuestionsWith reference to Exercise 8.2, show that if the two samples come from normal populations, then 1 – 2 is a random variable having a normal distribution with the mean µ1 – µ2 and the variance σ21/n1 + σ22/n2. If X1, X2, . . . , Xn are independent random variables having identical Bernoulli distributions with the parameter θ, then is the proportion of successes in n trials, which we denote by Θ. Verify that (a) E(Θ) = θ; ...Find the sampling distributions of Y1 and Yn for random samples of size n from a continuous uniform population with α = 0 and β = 1. With reference to part (b) of Exercise 8.52, find the covariance of Y1 and Yn. What is the probability of each possible sample if (a) A random sample of size n = 4 is to be drawn from a finite population of size N = 12; (b) A random sample of size n = 5 is to be drawn from a finite population of size ...
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