How does the sample size affect the standard error of a sample mean?

  • Larger sample sizes decrease the standard error
  • Larger sample sizes increase the standard error
  • Smaller sample sizes decrease the standard error
  • The sample size has no effect on the standard error
The sample size has an inverse relationship with the standard error of a sample mean. As the sample size increases, the standard error decreases. This is because larger samples provide a better approximation of the population, reducing the variability of the sample mean around the population mean.
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