Chapter 1: Q. 37 (page 52)
Is a sample size of two representative of a population of five?
Yes, a sample size of two is typical of a five-person population.
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Name the sampling method used in each of the following situations:
a. A woman in the airport is handing out questionnaires to travelers asking them to evaluate the airport’s service. She does not ask travelers who are hurrying through the airport with their hands full of luggage, but instead asks all travelers who are sitting near gates and not taking naps while they wait.
b. A teacher wants to know if her students are doing homework, so she randomly selects rows two and five and then calls on all students in row two and all students in row five to present the solutions to homework problems to the class.
c. The marketing manager for an electronics chain store wants information about the ages of its customers. Over the next two weeks, at each store location, randomly selected customers are given questionnaires to fill out asking for information about age, as well as about other variables of interest.
d. The librarian at a public library wants to determine what proportion of the library users are children. The librarian has a tally sheet on which she marks whether books are checked out by an adult or a child. She records this data for every fourth patron who checks out books.
e. A political party wants to know the reaction of voters to a debate between the candidates. The day after the debate, the party’s polling staff calls randomly selected phone numbers. If a registered voter answers the phone or is available to come to the phone, that registered voter is asked whom he or she intends to vote for and whether the debate changed his or her opinion of the candidates.
Is it possible for two experiments to be well run with similar sample sizes to get different data?
Sixty adults with gum disease were asked the number of times per week they used to floss before their diagnosis. The (incomplete) results are shown in Table
a. Fill in the blanks in Table
b. What percent of adults flossed six times per week?
c. What percent flossed at most three times per week?
A “random survey” was conducted of people of the “microprocessor generation” (people born since , the year the microprocessor was invented). It was reported that 48% of those individuals surveyed stated that if they had to spend, they would use it for computer equipment. Also, of those surveyed considered themselves relatively savvy computer users.
a. Do you consider the sample size large enough for a study of this type? Why or why not?
b. Based on your “gut feeling,” do you believe the percents accurately reflect the U.S. population for those individuals born since ? If not, do you think the percents of the population are actually higher or lower than the sample statistics? Why? Additional information: The survey, reported by Intel Corporation, was filled out by individuals who visited the Los Angeles Convention Center to see the Smithsonian Institute's road show called “America’s Smithsonian.”
c. With this additional information, do you feel that all demographic and ethnic groups were equally represented at the event? Why or why not?
d. With the additional information, comment on how accurately you think the sample statistics reflect the population parameters
For the following exercises, identify the type of data that would be used to describe a response (quantitative discrete, quantitative continuous, or qualitative), and give an example of the data. percent of body fat
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