Introduction to Statistics and Data Analysis
Introduction to Statistics and Data Analysis
5th Edition
ISBN: 9781305445963
Author: PECK
Publisher: Cengage
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Chapter 12, Problem 41CR

a.

To determine

Check whether there is any evidence of an association between position and role at 0.01 significance level.

b.

To determine

Explain the assumptions about the manner in which the data were collected must be true for the chi-square test to be an appropriate way to analyze the data.

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In a​ study, the effects of the mane of a male lion as a signal of quality to mates and rivals was explored. Four​ life-sized dummies of male lions provided a tool for testing female response to the unfamiliar lions whose manes varied by length​ (long or​ short) and color​ (blonde or​ dark). The female lions were observed to see whether they approached each of the four​ life-sized dummies. Complete parts​ (a) through​ (e) below.     a. Identify the experimental units. Choose the correct answer below.     The female lions   The male dummies   The mane colors   The mane lengths Part 2 b. Identify the response variable. Choose the correct answer below.     A. Whether or not​ (yes or​ no) the mane length affected how the female lions reacted to a male dummy.   B. Whether or not​ (yes or​ no) the female lions approached the same dummies.   C. Whether or not​ (yes or​ no) the female lions approached a male dummy.   D. Whether or not​…
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The article "Cooperative Hunting in Lions: The Role of the individual" (Behavioral Ecology and Sociology (1992): 445 454) discusses the different roles taken by lionesses as they attack and capture prey. The authors were interested in the effect of the position in line as stalking occurs; an individual lioness may be in the center of the line or on the wing (end of the line) as they advance toward their prey. In addition to position, the role of the lioness was also considered. A lioness could initiate a chase (be the first one to charge the prey), or she could participate and join the chase after it has been initiated. Data from the article is summarized in the accompanying table. Is there evidence of an association between position and role? Test the hypotheses using a = 0.05. Position Initiate Chase Participate in Chase Center Wing 28 Role 66 48 41

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Introduction to Statistics and Data Analysis

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