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Answer :
Final answer:
True. In the given scenario, the average weight of 157 lbs is a sample statistic, not a population parameter, because it's based on sampled data (from 40 members) rather than measurements from the entire population (all club members).
Explanation:
In statistics, the term 'sample' refers to a portion of the population that has been selected for analysis, while the term 'statistic' refers to a numerical description derived from that sample. Conversely, a 'population' is an entire group of people or objects that are the subject of study, and a 'parameter' is a numerical description of the population as a whole.
In the context of the question given, the health and fitness club surveyed 40 members, which is a subset of all club members - the population. The average weight of 157 lbs was calculated using this sampled data. Hence, the average weight of 157 lbs is a sample statistic, not a population parameter, because it's based on a portion, not the entirety, of the club's members.
To be a population parameter, the data would need to reflect the average weight of every single member of the club, not just the 40 that happened to be surveyed.
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