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Oh Jon Herman Ma x m Innlevering X nrut Slik overtar uter X Advokat om Ab X FN Tau og Tusenars X ® Vil subsidiere el X CA C fi https:// Ga E www.chegg.com App oreslatte der EZ Web S Gallery O portert fra Internet Alternativer Mine tir D y tane db Middagstips for hele PB give me more e Elanors gastronomisk Andre bok Chegg MORE Find books, solutions, tutors and more TEXTBOOK SOLUTIONS FOR An Introduction to Mathematical Statistics and lts Applications 5th Edition A v show all steps Chapter: CH5.3 v Problem: 8Q Question: CH5.3 7Q Suppose that y 1, y2 yn is a random sample of size n from a normal distribution where o is known CH5.39Q Depending on how the tail-area probabilities are split up, an infinite number of random intervals having a 95% probability of containing u can be constructed. What is unique about the particular interval y 1.96 We don't have the solution to this problem yet Get help from a C subject expert Ask an expert 09:47 NOB 28.04.2016

Explanation / Answer

First, it is not true in the frequentist interpretation of confidence inervals that the probability that the confidence interval includes the mean is 0.950.95. That being said, the confidence interval that you list is the shortest confidence interval for the mean that you can find: all other confidence intervals will be longer. And yes, properties 1 and 3 are enjoyed by this confidence interval but they are not unique in the sense that confidence intervals for other problems (involving random variables that are not normal) may well also have these properties.

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