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Chapter 1: Q 1.89. (page 29)
In a designed experiment, there are two factors. One factor has mlevels and the other factor has nlevels. Determine the number of treatments.
Hint: Refer to Exercise 1.87 or Exercise 1.88.
The total number of levels is mn.
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Define the following terms:
(a) Population
(b) Sample
In Exercises 1.92-1.97, we present descriptions of designed experiments. In each case, identify the
(a) experimental units
(b) response variable
(c) factor (s)
(d) levels of each factor:-
(e) treatments.
The Lion's Mane. In a study by P. M. West titled "The Lion's Mane" ( American Scientist, Vol. 93, No. 3, pp. 226-236), 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.
Ballistic Fingerprinting. In an on-line press release, ABCNews.com reported that "...73 percent of Americans... favor a law that would require every gun sold in the United States to be test-fired first, so law enforcement would have its fingerprint in case it were ever used in a crime."
(a). Do you think that the statement in the press release is inferential or descriptive? Can you be sure?
(b). Actually, ABCNews.com conducted a telephone survey of a random national sample of 1032 adults and determined that 73% of them favored a law that would require every gun sold in the United States to be test-fired first, so law enforcement would have its fingerprint in case it were ever used in a crime. How would you rephrase the statement in the press release to make clear that it is a descriptive statement? an inferential statement?
Genocide. The document "American Attitudes about Genocide" provided highlights of a nationwide poll with 1000 participants. The survey, conducted by Penn Schoen Berland between June 30 and July 10, 2012, revealed that "66% of respondents believe that genocide is preventable."
(a). Is the statement in quotes an inferential or a descriptive statement? Explain your answer.
(b). Based on the same information, what if the statement had been "66% of Americans believe that genocide is preventable"?
In Exercises 1.17-1.22, state whether the investigation in question is an observational study or a designed experiment. Justify your answer in each case.
Do Left-Handers Die Earlier? According to a study published in the Journal of the American Public Health Association, left-handed people do not die at an earlier age than right-handed people, contrary to the conclusion of a highly publicized report done 2 years earlier. The investigation involved a 6-year study of 3800 people in East Boston older than age 65. Researchers at Harvard University and the National Institute of Aging found that the "lefties" and "righties" died at exactly the same rate. "There was no difference, period," said Dr. J. Guralnik, an epidemiologist at the institute and one of the coauthors of the report.
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