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Chapter 1: Q 15. (page 32)
Incomes of College Students 'Parents. A researcher wants to estimate the average income of parents of college students. To accomplish that, he surveys a sample of 250 students at Yale. Is this a representative sample? Explain your answer.
No. The sample is not representative.
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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"?
The members of a population are numbered 1-4.
(a). List the 6 possible samples (without replacement) of size 2 from this population.
(b). If an SRS of size 2 is taken from the population, what are the chances of selecting 2 and 3? Explain your answer.
(c). Use Table I in Appendix A to obtain an SRS of size 2 from the population. Start at the single-digit number in line number 17 and column number 7, read down the column, up the next, and so on.
In Exercises 1.7-1.12, classify each of the studies as either descriptive or inferential. Explain your answers.
In-Demand College Majors. In a June 2013 article, published online by The Street, B. O'Connell discussed the results of a survey on opportunities for graduating college students. In one aspect of the survey, the following percentage estimates were reported on which college majors were in demand among U.S. firms. [SOURCE: "The Most In-Demand College Majors This Year." Published by Career-Builder, LLC, 2013.]
Plant Density and Tomato Yield. In "Effects of Plant Density on Tomato Yields in Western Nigeria" (Experimental Agriculture,Vol. 12(1), pp. 43-47 ), B. Adelana reported on the effect of tomato variety and planting density on yield. Four tomato varieties (Harvester, Pusa Early Dwarf, Ife No. 1, and Ibadan Local ) were grown at four densities ( 10,000, 20,000, 30,000, and 40,000 plants/ha). Identify the
a. experimental units. b. response variable.
c. factor (s). d. levels of each factor.
e. treatments.
Sampling Dorm Residents. Students in the dormitories of a university in the state of New York live in clusters of four double rooms, called suites. There are 48 suites, with eight students per suite.
(a) Describe a cluster sampling procedure for obtaining a sample of 24 dormitory residents.
(b) Students typically choose friends from their classes as suitemates. With that in mind, do you think cluster sampling is a good procedure for obtaining a representative sample of dormitory residents? Explain your answer.
(c) The university housing office has separate lists of dormitory residents by class level. The number of dormitory residents in each class level is as follows. Use the table to design a procedure for obtaining a stratified sample ( with proportional allocation ) of 24 dormitory residents.
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