Question

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An insurance company has identified the 10 safest and the 10 least-safe US cities from among the 200 largest cities in the US, based on the mean number of years drivers went between automobile accidents. They found that the cities on both lists (mentioned above) were all smaller in population size than the the 10 most highly populated cities. Use the ideas behind the sampling distribution of the mean to explain why this was expected.

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Answer 1

from the given data of information

among 200 largecities in the us an insurance company has identified the 10 safest and 10 least safe us cities

solution; when sample size increase precision also increases as a result of decreasing variability.

its growth very sharp in the region of small sample that it becomes slower and stadier beyond a certain sample size.