When constructing a confidence interval estimate of $\mu$ , doubling the sample size n reduces the width %of the interval by half.

Question

Quizplus · Accepted Answer

When constructing a confidence interval estimate of $\mu$, the width of the interval decreases as the sample size increases. Specifically, doubling the sample size n (while maintaining the same level of confidence and standard deviation) reduces the margin of error by a factor of $\sqrt{2}$, which in turn reduces the width of the interval by half. Therefore, the statement is true.

When Constructing a Confidence Interval Estimate Of μ\muμ , Doubling the Sample Size N Reduces the Width %Of

When Constructing a Confidence Interval Estimate Of $\mu$ , Doubling the Sample Size N Reduces the Width %Of