Introduction to Statistics and Data Analysis
Introduction to Statistics and Data Analysis
5th Edition
ISBN: 9781305115347
Author: Roxy Peck; Chris Olsen; Jay L. Devore
Publisher: Brooks Cole
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Chapter 1.3, Problem 11E

In a study of whether taking a garlic supplement reduces the risk of getting a cold, participants were assigned to either a garlic supplement group or to a group that did not take a garlic supplement (“Garlic for the Common Cold,” Cochrane Database of Systematic Reviews, 2009). Based on the study, it was concluded that the proportion of people taking a garlic supplement who get a cold is lower than the proportion of those not taking a garlic supplement who get a cold.

  1. a. What were the researchers trying to learn? What questions motivated their research?
  2. b. Do you think that the study was conducted in a reasonable way? What additional information would you want in order to evaluate this study?
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Consider an MA(6) model with θ1 = 0.5, θ2 = −25, θ3 = 0.125, θ4 = −0.0625, θ5 = 0.03125, and θ6 = −0.015625. Find a much simpler model that has nearly the same ψ-weights.
Let {Yt} be an AR(2) process of the special form Yt = φ2Yt − 2 + et. Use first principles to find the range of values of φ2 for which the process is stationary.
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Introduction to Statistics and Data Analysis

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