A regional manager runs the day-to-day operations of three branches of a chain restaurant. Each location is roughly the same size and employs approximately the same number of workers. The manager is interested in streamlining policies across each location, so he decides to survey 10 random employees in each branch about certain processes. Is this a simple random sample? Is it 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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A quality control manager wants to see how many defective products come off the line on average per day. They take 10 random units produced over the course of the day from each of 10 machines to test if they are defective. 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 taking samples from 10 machines, with 10 random units selected from each machine. This means the population is divided into groups (machines), and samples are taken from each group.
Identify the sampling method: In stratified sampling, the population is divided into distinct subgroups (strata) based on a shared characteristic, and random samples are taken from each subgroup. Here, the machines represent the strata, and random units are sampled from each machine.
Compare with other sampling methods: Simple random sampling involves selecting units randomly from the entire population without considering subgroups. Cluster sampling involves selecting entire groups (clusters) randomly, not individual units within each group. Systematic sampling involves selecting every nth unit from a list.
Determine the correct method: Since the manager is dividing the population into subgroups (machines) and taking random samples from each subgroup, this matches the definition of stratified sampling.
Conclude: The sampling method used in this scenario is stratified sampling, as the population is divided into strata (machines), and random samples are taken from each stratum.
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