ACCA Applied Knowledge · Management Accounting · Sampling methods
A manufacturer produces items on a production line and a quality inspector checks every 25th item starting from a random point. Unknown to the inspector, a machine fault causes a defect on every 25th item produced. What is the main weakness of the sampling method illustrated?
The weakness is that systematic sampling can be biased when the population has a regular pattern matching the sampling interval. Here every 25th item is checked and every 25th item is faulty, so the sample would be unrepresentative of the whole production.
- ASystematic sampling may be biased if the population has a regular pattern matching the intervalCorrect
- BSimple random sampling cannot be used on production lines
- CStratified sampling gives unequal chances of selection to all items
- DCluster sampling requires a complete sampling frame of every item
Explanation
Systematic sampling selects at a fixed interval, so if the population has a cyclical pattern that coincides with the interval, the sample will be unrepresentative, either all defective or all sound. The other statements do not describe this situation.
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