Doubling the population standard deviation $\sigma$has the effect of doubling the width of the confidence interval estimate of $\mu$.

Question

Quizplus · Accepted Answer

This statement is true. The width of a confidence interval for a population mean is directly proportional to the standard deviation. Doubling the standard deviation would therefore result in a doubled width of the confidence interval.

Doubling the Population Standard Deviation σ\sigmaσ Has the Effect of Doubling the Width of the Confidence

Doubling the Population Standard Deviation $\sigma$ Has the Effect of Doubling the Width of the Confidence