How does sample size affect the accuracy of a statistic?

  • Larger samples lead to less accurate statistics
  • Larger samples lead to more accurate statistics
  • Sample size does not affect the accuracy of a statistic
  • The relationship between sample size and statistic accuracy is unpredictable
Larger samples tend to lead to more accurate statistics. The reason is that as we increase the sample size, the sample mean gets closer to the population mean, reducing the standard error. In other words, larger samples provide a better estimate of the population parameters, leading to more accurate and reliable results. However, this doesn't mean larger samples are always feasible or more effective, as they require more resources and time.
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