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Use of a sample of 5000 is not necessarily better than one of 500.” How would youreact to this statement?

Question

Use of a sample of 5000 is not necessarily better than one of 500. How would you react to this statement?

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Solution

  1. Understand the Context: The statement is referring to the size of a sample in a study or experiment. It's suggesting that a larger sample size (5000) is not necessarily better than a smaller one (500).

  2. Evaluate the Statement: The validity of this statement depends on the context of the study or experiment. In general, a larger sample size can provide more accurate results because it better represents the population. However, it's not always better because it may be more time-consuming and costly.

  3. Consider the Trade-offs: With a larger sample size, you might reduce the margin of error and increase the power of your statistical tests. However, you also increase the time and resources required to collect and analyze the data.

  4. Consider the Quality of Data: A smaller sample size of high-quality data could be more valuable than a larger sample size of low-quality data. The quality of your data is determined by how well it represents the population you're studying.

  5. Final Reaction: So, my reaction to the statement would be that it's partially correct. The 'better' sample size really depends on the specific context, the resources available, and the quality of data that can be obtained.

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