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QUAN 2010 Notes Introduction to Business Statistics

Lauren M. Nelsen and Kimberly Swetz

Section 6.1 Types of Sampling

A probability sample is a sample in which each member of the population has a known, nonzero chance of being selected for the sample. There are five main types:
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Definition 6.1.1.

  • simple random sample: a sample in which every member of the population has an equal chance of being chosen
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  • systematic sampling: every \(k\)th member of the population is chosen for the sample; \(k=\frac{\text{size of population, }N}{\text{size of sample, }n}\)
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  • stratified sampling: the population is divided into mutually exclusive groups (strata) and randomly chosen members from the groups are chosen for the sample
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  • cluster sampling: the population is divided into mutually exclusive groups (clusters) and then one or more clusters is chosen for the sample
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  • convencience sample: members of a sample are chosen because they are easily accessible
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Definition 6.1.2.

resampling: the statistical technique in which many samples are repeatedly drawn from a population
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Exercise 6.1.3.

(Donnelly, Your Turn 1)
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Identify the type of sampling technique used below.
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The first Monday of each month, customers who come to a store are asked to fill out a satisfaction survey.
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Exercise 6.1.4.

(Donnelly, Your Turn 1)
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Identify the type of sampling technique used below.
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I randomly select four stores in a mall and ask each customer in those stores about his or her opinion of the latest health care legislation.
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Exercise 6.1.5.

(Donnelly, Your Turn 1)
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Identify the type of sampling technique used below.
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I position myself on a busy intersection of a city street and ask people what their opinions are of a local sports team.
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Exercise 6.1.6.

(Donnelly, Your Turn 1)
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Identify the type of sampling technique used below.
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Sixty percent of students attending a certain college are women. A random sample of college students is constructed that consists of 60% women from the student population to ask what their opinions are of the college’s food service.
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Exercise 6.1.7.

(Donnelly, Your Turn 1)
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Identify the type of sampling technique used below.
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Using computer software, a manager randomly selects 20 employees to participate in a job satisfaction survey.
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