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Let X1 and X2 be independent chi-square random variables with r1 and r2 degrees of

Probability and Statistical Inference | 9th Edition | ISBN: 9780321923271 | Authors: Robert V. Hogg, Elliot Tanis, Dale Zimmerman ISBN: 9780321923271 41

Solution for problem 5.2-2 Chapter 5.2

Probability and Statistical Inference | 9th Edition

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Probability and Statistical Inference | 9th Edition | ISBN: 9780321923271 | Authors: Robert V. Hogg, Elliot Tanis, Dale Zimmerman

Probability and Statistical Inference | 9th Edition

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Problem 5.2-2

Let X1 and X2 be independent chi-square random variables with r1 and r2 degrees of freedom, respectively. Let Y1 = (X1/r1)/(X2/r2) and Y2 = X2. (a) Find the joint pdf of Y1 and Y2. (b) Determine the marginal pdf of Y1 and show that Y1 has an F distribution. (This is another, but equivalent, way of finding the pdf of F.)

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Statistical Inference: provides methods for drawing conclusions about a population from the sample data. There are two ways to do this:  Confidence intervals: used to estimate the value of a population parameter using sample statistics Test of Significance: used for assessing evidence for a claim about the  population To set up  Have to have an SRS from the population, no bias  The variable has to have an exactly normal distribution in the population  We don’t know population mean , but we know the population standard deviation Confidence Interval  What statistic can be used to estimate the population parameter o We can use x-bar  To do a confidence interval, it is similar to the 68-95-99.7

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Chapter 5.2, Problem 5.2-2 is Solved
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Textbook: Probability and Statistical Inference
Edition: 9
Author: Robert V. Hogg, Elliot Tanis, Dale Zimmerman
ISBN: 9780321923271

The answer to “Let X1 and X2 be independent chi-square random variables with r1 and r2 degrees of freedom, respectively. Let Y1 = (X1/r1)/(X2/r2) and Y2 = X2. (a) Find the joint pdf of Y1 and Y2. (b) Determine the marginal pdf of Y1 and show that Y1 has an F distribution. (This is another, but equivalent, way of finding the pdf of F.)” is broken down into a number of easy to follow steps, and 61 words. Probability and Statistical Inference was written by and is associated to the ISBN: 9780321923271. The full step-by-step solution to problem: 5.2-2 from chapter: 5.2 was answered by , our top Statistics solution expert on 07/05/17, 04:50AM. This full solution covers the following key subjects: . 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. Since the solution to 5.2-2 from 5.2 chapter was answered, more than 327 students have viewed the full step-by-step answer.

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Let X1 and X2 be independent chi-square random variables with r1 and r2 degrees of