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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:
Definition 6.1.1 .
simple random sample: a sample in which every member of the population has an equal chance of being chosen
systematic sampling: every
\(k\) th member of the population is chosen for the sample;
\(k=\frac{\text{size of population, }N}{\text{size of sample, }n}\)
stratified sampling: the population is divided into mutually exclusive groups (strata) and randomly chosen members from the groups are chosen for the sample
cluster sampling: the population is divided into mutually exclusive groups (clusters) and then one or more clusters is chosen for the sample
convencience sample: members of a sample are chosen because they are easily accessible
Definition 6.1.2 .
resampling: the statistical technique in which many samples are repeatedly drawn from a population
Exercise 6.1.3 .
Identify the type of sampling technique used below.
The first Monday of each month, customers who come to a store are asked to fill out a satisfaction survey.
systematic
simple random
stratified
cluster
convenience
Exercise 6.1.4 .
Identify the type of sampling technique used below.
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.
systematic
simple random
stratified
cluster
convenience
Exercise 6.1.5 .
Identify the type of sampling technique used below.
I position myself on a busy intersection of a city street and ask people what their opinions are of a local sports team.
systematic
simple random
stratified
cluster
convenience
Exercise 6.1.6 .
Identify the type of sampling technique used below.
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.
systematic
simple random
stratified
cluster
convenience
Exercise 6.1.7 .
Identify the type of sampling technique used below.
Using computer software, a manager randomly selects 20 employees to participate in a job satisfaction survey.
systematic
simple random
stratified
cluster
convenience
