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What generally happens to the sampling error as the sample size is decreased?

Question

What generally happens to the sampling error as the sample size is decreased?

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Solution

When the sample size is decreased, the sampling error generally increases. Here's why:

  1. Sampling error is the difference between the characteristics of a sample and the characteristics of the population from which it was drawn.

  2. The larger the sample size, the more closely it should represent the population, thus reducing the sampling error.

  3. Conversely, when the sample size is decreased, it is less likely to accurately represent the population, leading to a higher sampling error.

  4. Therefore, if you want to reduce the sampling error, you should aim to increase the sample size.

  5. However, it's important to note that increasing the sample size will only reduce the sampling error to a certain point. After that, the reduction in error becomes negligible.

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