A 24-hour gym is interested in whether they should purchase a new rowing machine, so they decide to survey their active members to get their opinion. They use a random number generator to obtain a sample of gym ID numbers and ask all people selected about their opinion. They can collect the data easily, as all selected respondents happen to be enrolled in fitness classes in the early afternoons. Is this a simple random sample? Is this a representative sample?
Table of contents
- 1. Introduction to Statistics53m
- 2. Describing Data with Tables and Graphs2h 1m
- 3. Describing Data Numerically1h 48m
- 4. Probability2h 26m
- 5. Binomial Distribution & Discrete Random Variables2h 55m
- 6. Normal Distribution & Continuous Random Variables1h 48m
- 7. Sampling Distributions & Confidence Intervals: Mean2h 8m
- 8. Sampling Distributions & Confidence Intervals: Proportion1h 20m
- 9. Hypothesis Testing for One Sample2h 23m
- 10. Hypothesis Testing for Two Samples3h 25m
- 11. Correlation1h 6m
- 12. Regression1h 4m
- 13. Chi-Square Tests & Goodness of Fit1h 30m
- 14. ANOVA1h 4m
1. Introduction to Statistics
Sampling Methods
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Join thousands of students who trust us to help them ace their exams!Watch the first videoMultiple Choice
A quality control manager wants to see how many defective products come off the line on average per day. They select three random cases of units at the end of the day to test how many defective units are in one of the three cases. What type of sampling method is this?
A
Simple random sampling
B
Stratified sampling
C
Cluster sampling
D
Systematic sampling

1
Understand the problem: The quality control manager is selecting three random cases of units at the end of the day to test for defects. The goal is to identify the type of sampling method used.
Review the definitions of sampling methods: Simple random sampling involves selecting individual items randomly from the entire population. Stratified sampling divides the population into strata and samples from each stratum. Cluster sampling involves dividing the population into groups (clusters) and randomly selecting entire clusters. Systematic sampling selects every nth item from a list or sequence.
Analyze the scenario: The manager is not selecting individual units randomly (simple random sampling) or dividing the population into strata (stratified sampling). Instead, they are selecting entire cases (clusters) of units.
Match the scenario to the correct sampling method: Since the manager is selecting entire cases (clusters) rather than individual units, this aligns with the definition of cluster sampling.
Conclude: The sampling method used in this scenario is cluster sampling because the manager is testing all units within the selected cases, which are treated as clusters.
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