Question
To estimate the percentage of defects in a recent manufacturing batch, a quality control manager at IBM selects every 14 th computer that comes off the assembly line starting with the third until she obtains a sample of 150 computers. What type of sampling is used? A. Systematic 1.4 .11 B. Convenience C. Stratified D. Simple random E. Cluster
Ask by Stanley Ball. in the United States
Jan 22,2025
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Answer
The sampling method used is **systematic sampling**.
Solution
The sampling method described involves selecting every 14th computer from the assembly line, starting with the third one, until a sample of 150 computers is obtained. This approach is characteristic of **systematic sampling**.
**Systematic Sampling** involves selecting elements from an ordered sampling frame at regular intervals. In this case, the quality control manager starts at a specific point (the third computer) and then selects every 14th computer thereafter. This method ensures a consistent and evenly distributed sample across the entire population.
**Why Other Options Are Not Suitable:**
- **Convenience Sampling:** This involves selecting samples based on ease of access, which is not the case here.
- **Stratified Sampling:** This would require dividing the population into distinct strata and then sampling from each stratum, which isn't described.
- **Simple Random Sampling:** Each computer would have an equal and independent chance of being selected, without a fixed interval.
- **Cluster Sampling:** This involves dividing the population into clusters, then randomly selecting entire clusters, which isn't applicable here.
**Answer:**
A. Systematic
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Simplify this solution Extra Insights
The sampling method used here is systematic sampling. This technique involves selecting individuals based on a fixed interval, which in this case is every 14th computer starting from the third one. The systematic approach helps ensure that the sample is evenly distributed across the manufacturing batch, minimizing bias. In practical terms, systematic sampling can be very efficient, especially in quality control situations like this one. It allows managers to quickly gather data without the need for random number generators or complex processes. Just imagine a quality control manager ready to spot trends and discrepancies from an assembly line with a simple, rhythmic count!
