True or False: surveying every 10th student on the list starting from the first student on the list will result in a deterministic sample.

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The statement describes a sampling method where you select every 10th individual from an ordered list, starting with the first item. This is a systematic sampling approach.

Option: True. Why this is a valid characterization: Systematic sampling uses a fixed interval (the skip size, here 10) and a starting point (the first student). Once those choices are made, the entire sample is determined by the rule, making the process deterministic rather than random. The exact members of the sample are pre-specified by the method, so there is no randomness involved in selecting who is included.

Clarifying potential misconceptions: Some people worry about bias or representativeness. While deterministic, systematic sampling can produce biased samples if there is an underlying pattern in the list that aligns with the sampling interval (for example, if every 10th student shares a distinctive characteristic due to how the list was constructed). However, the determinism of the method itself remains intact: given the starting point and interval, the sample is fixed.

Why someone might think it’s not deterministic: If they conflate randomness with representativeness, they might argue that because the sample could miss other segments of the population, it isn’t random. Yet determinism refers to whether the process yields a specific set given the rules, not whether the sample is representative. In this sense, the sampling outcome is deterministic.

In summary, the procedure described produces a specific, repeatable set of individuals for any given list, which aligns with the definition of a deterministic sampling process.

CIS-124-HYA-CRN48380 Section 15a Practice

True or False: surveying every 10th student on the list starting from the first student on the list will result in a deterministic sample.

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