Asked by Lauren Hammons on Jul 02, 2024

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The average age in a sample of 190 students at City College is 22.As a result of this sample, it can be concluded that the average age of all the students at City College

A) must be more than 22, since the population is always larger than the sample.
B) must be less than 22, since the sample is only a part of the population.
C) could not be 22.
D) is around 22.

Sample

A group of people or objects chosen from a broader group to conduct statistical studies.

Population

The entire pool from which a statistical sample is drawn and is the total set of observations that can be made.

  • Acquire knowledge of the core concepts and mechanisms in statistical inference.
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Verified Answer

DP
Deepa Prasai7 days ago
Final Answer :
D
Explanation :
The best choice is D because the sample of 190 students is a relatively large sample size compared to the size of the population at City College. Therefore, the average age of the sample is likely to be close to the actual average age of all the students at City College. However, it is also possible that the actual average age of all the students at City College is slightly higher or lower than 22. Therefore, D is the best choice. Choices A and B make assumptions about the relationship between sample and population size that may not be true. The choice C is not necessarily correct because it is possible for the actual average age to be exactly 22.