How does the variability of the population affect the width of a confidence interval?

  • Higher variability decreases the width of the confidence interval
  • Higher variability increases the width of the confidence interval
  • The relationship between variability and the width of the confidence interval is unpredictable
  • Variability has no effect on the width of the confidence interval
Higher variability in the population increases the width of the confidence interval. When data points are spread out more (higher variability), there is more uncertainty about where the true population parameter lies, leading to a larger standard error and thus a wider confidence interval.
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