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In medical investigations, the ratio u 5 p1yp2 is often ofmore interest than the

Probability and Statistics for Engineering and the Sciences | 9th Edition | ISBN: 9781305251809 | Authors: Jay L. Devore ISBN: 9781305251809 122

Solution for problem 55 Chapter 9.4

Probability and Statistics for Engineering and the Sciences | 9th Edition

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Probability and Statistics for Engineering and the Sciences | 9th Edition | ISBN: 9781305251809 | Authors: Jay L. Devore

Probability and Statistics for Engineering and the Sciences | 9th Edition

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Problem 55

In medical investigations, the ratio u 5 p1yp2 is often ofmore interest than the difference p1 2 p2 (e.g., individualsgiven treatment 1 are how many times as likely torecover as those given treatment 2?). Let u 5 p 1yp 2.When m and n are both large, the statistic ln(u) hasapproximately a normal distribution with approximatemean value ln(u) and approximate standard deviation[(m 2 x)y(mx) 1 (n 2 y)y(ny)]1y2.a. Use these facts to obtain a large-sample 95% CI formulafor estimating ln(u), and then a CI for u itself.b. Return to the heart-attack data of Example 1.3, andcalculate an interval of plausible values for u at the95% confidence level. What does this interval suggestabout the efficacy of the aspirin treatment?

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1 STAT 145 Introduction to Statistics 1 Chapter 1 ­ Data Collection Terms ​ ormulas 1.1 Introduction to the Practice to Statistics Objectives: ​Definitions and process of statistics / Qualitative vs. Quantitative Statistical...

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Textbook: Probability and Statistics for Engineering and the Sciences
Edition: 9
Author: Jay L. Devore
ISBN: 9781305251809

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