Suppose are observed values resultingfrom a random sample from a symmetric but

Chapter 7, Problem 61

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Suppose are observed values resultingfrom a random sample from a symmetric but possiblyheavy-tailed distribution. Let and fs denote the samplemedian and fourth spread, respectively. Chapter 11 of Understanding Robust and Exploratory Data Analysis(see the bibliography in Chapter 6) suggests the followingrobust 95% CI for the population mean (point ofsymmetry):The value of the quantity in parentheses is 2.10 for ,1.94 for , and 1.91 for . Compute this CI forthe data of Exercise 45, and compare to the t CI appropriate

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