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Chapter 1: Q 6. (page 31)

Which of the following sampling procedures involve the use of probability sampling?

a . A college student is hired to interview a sample of voters in her town. She stays on campus and interviews 100 students in the cafeteria.

b . A pollster wants to interview 20 gas station managers in Balti more. He posts a list of all such managers on his wall, closes his eyes, and tosses a dart at the list 20 times. He interviews the people whose names the dart hits

Short Answer

Expert verified

Only sampling procedures given in part (b) involves the use of probability sampling.

Step by step solution

01

Part (a) Step 1. Given information.

The given statement is:

Which of the following sampling procedures involve the use of probability sampling?

(a) A college student is hired to interview a sample of voters in her town. She stays on campus and interviews 100 students in the cafeteria.

(b) A pollster wants to interview 20 gas station managers in Balti more. He posts a list of all such managers on his wall, closes his eyes, and tosses a dart at the list 20 times. He interviews the people whose names the dart hits

02

Part (a) Step 1. Identify if the sampling procedure given in option (a) involves the use of probability sampling.

As in process (a), the hired college student selects a sample that does not represent the voters in her town, and also no random device or random number is employed, as is done in probability sampling.

Therefore, Option A does not involve the use of probability sampling.

03

Part (b) Step 1. Identify if the sampling procedure given in option (b) involves the use of probability sampling.

In contrast, the approach used in (b) is an example of selecting gas station managers at random.

Therefore, Option B involves the use of probability sampling.

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Most popular questions from this chapter

Peanut Allergies. In the article " Food Allergy Advice May Be Peanuts " (Science News, Vol . 174, No. 12, pp . 8-9), N. Seppa reports that early exposure to peanuts seems to lessen the risk of nut allergy. Of 4000 Jewish children sampled in Britain, 1.85 % had peanut allergies; and of 4600 Jewish children sampled in Israel, where early peanut consumption is more common, 0.17 % had peanut allergies. The researcher chose Jewish children in both countries to limit genetic differences between groups.

(a) Is this study descriptive or inferential?

(b) Is this study observational or experimental?

Leisure Activities and Dementia. An article appearing in the Los Angeles Timesdiscussed the study " Leisure Activities and the Risk of Dementia in the Elderly "(New England Journal of Medicine, Vol. 348, pp . 2508-2516 ) by J. Verghese et al. The article in the Times, titled "Crosswords Reduce Risk of Dementia," contained the following statement: " Elderly people who frequently read, do crossword puzzles, practice a musical instrument or play board games cut their risk of Alzheimer's and other forms of dementia by nearly two-thirds compared with people who seldom do such activities." Comment on the statement in quotes, keeping in mind the type of study for which causation can be reasonably inferred.

On-Time Airlines. From the FlightStats On-time Performance Report Summary, we found that, in July 2013, the top five North American airlines in terms of percentage of on-time arrivals were Hawaiian (H), Horizon (Z), Compass (C), Alaska (A), and Jazz (J).

(a) List the 10 possible samples ( without replacement ) of size 3 that can be obtained from the population of five airlines. Use the parenthetical abbreviations in your list.

(b) If a simple random sampling procedure is used to obtain a sample of three of these five airlines, what are the chances that it is the first sample on your list in part (a) ? the second sample? the tenth sample?

(c) Describe three methods for obtaining a simple random sample of three of these five airlines.

(d) Use one of the methods that you described in part (c) to obtain a simple random sample of three of these five airlines.

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.

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.

Starting Salaries. The National Association of Colleges and Employers (NACE) compiles information on salary offers to new college graduates and publishes the results in Salary Survey.

Do you think that these rates are descriptive statistics or inferential statistics? Explain your answer.
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