Doubling the population standard deviation σ has the effect of doubling the width of the confidence interval estimate of μ.

Question

Quizplus · Accepted Answer

The width of the confidence interval estimate of μ is proportional to the standard deviation σ divided by the square root of the sample size n. Doubling σ would double the numerator of this proportion, thus doubling the width of the confidence interval.

Doubling the Population Standard Deviation σ Has the Effect of Doubling