A large bakery produces cakes in an assembly line. Sergio noticed a potential defect that seems to be showing in every other cake. He decides that in the next production run, he'll take a random sample of cakes to get a better
idea of how many cakes might have this defect.
Why might Sergio choose a simple random sample instead of a systematic random sample?

The system random sampling involves the introduction of a sampling interval during the sampling process. Hence, the use of a fixed interval is more likely to miss the potential defect noticed based on the sampling interval selected.

The systematic random sampling simply involves choosing a fixed sampling interval during the sampling process. A simple random sampling however selects a truly random sample from a population and this techniques provides the best sample which is representative of the population. Since a sampling interval is required for a systematic random sample, the sample obtained for different values of k, which is the sampling interval will differ leading to a potential risk of missing the target .

Therefore, with simple random sampling, Sergio stands a better chance of capturing the defect better than using systematic random sampling

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