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# (In some of the exercises that follow, we must | Ch 9.6 - 8E ISBN: 9780321923271 41

## Solution for problem 8E Chapter 9.6

Probability and Statistical Inference | 9th Edition

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Problem 8E

(In some of the exercises that follow, we must make assumptions of normal distributions with the usual notation.)

In sampling from a bivariate normal distribution, it is true that the sample correlation coefficient R has an approximate normal distribution N[ρ, (1 − ρ2)2/n] if the sample size n is large. Since, for large n, R is close to ρ, use two terms of the Taylor’s expansion of u(R) about ρ and determine that function u(R) such that it has a variance which is (essentially) free of p. (The solution of this exercise explains why the transformation (1/2) ln[(1+R)/ (1 − R)] was suggested.)

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##### ISBN: 9780321923271

The full step-by-step solution to problem: 8E from chapter: 9.6 was answered by , our top Statistics solution expert on 07/05/17, 04:50AM. The answer to “(In some of the exercises that follow, we must make assumptions of normal distributions with the usual notation.)In sampling from a bivariate normal distribution, it is true that the sample correlation coefficient R has an approximate normal distribution N[?, (1 ? ?2)2/n] if the sample size n is large. Since, for large n, R is close to ?, use two terms of the Taylor’s expansion of u(R) about ? and determine that function u(R) such that it has a variance which is (essentially) free of p. (The solution of this exercise explains why the transformation (1/2) ln[(1+R)/ (1 ? R)] was suggested.)” is broken down into a number of easy to follow steps, and 102 words. Since the solution to 8E from 9.6 chapter was answered, more than 256 students have viewed the full step-by-step answer. Probability and Statistical Inference was written by and is associated to the ISBN: 9780321923271. This full solution covers the following key subjects: normal, distribution, sample, large, make. This expansive textbook survival guide covers 59 chapters, and 1476 solutions. This textbook survival guide was created for the textbook: Probability and Statistical Inference , edition: 9.

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