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Chapter 1: Q 1.78 (page 25)
In simple random sampling, all samples of a given size are equally likely. Is that true in systematic random sampling? Explain your answer.
No. It is not true in the case of systematic random sampling.
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Best-Selling Albums. The Recording Industry Association of America provides data on the best-selling albums of all time. As of May 28, 2013, the top six best-selling albums of all time (U.S. sales only), are by the artists the Eagles (E), Michael Jackson (M), Pink Floyd (P), Led Zeppelin (L), AC/DC (A), and Billy Joel (B).
(a). List the 15 possible samples (without replacement) of two artists that can be selected from the six. For brevity, use the initial provided.
(b). Describe a procedure for taking a simple random sample of two artists from the six.
(c). If a simple random sampling procedure is used to obtain two artists, what are the chances of selecting P and A? M and E?
Top North American Athletes. Refer to Problem 17.
(a) Use systematic random sampling to obtain a sample of 15 athletes.
(b) In this case, is systematic random sampling an appropriate alternative to simple random sampling? Explain your answer.
What is the acronym used for simple random sampling without replacement?
John F. Kennedy. In one of his books, Ted Sorenson, Special Counsel to President John F. Kennedy, presents an intimate biography of the extraordinary man. According to Sorenson, Kennedy "read every fiftieth letter of the thirty thousand comings weekly to the White House." What type of sampling design was Kennedy using in this case? Explain your answer. [SOURCE: FromKennedy: The Classical Biography by Ted Sorenson. Published by Harper Perennial, 漏 2009.]
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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