For a given sample size n and population standard deviation σ, the width of the confidence interval for the population mean is wider, the smaller the confidence level 100(1 - α)%.

Question

Quizplus · Accepted Answer

The width of the confidence interval for the population mean becomes narrower as the confidence level decreases (i.e., as α increases), because a lower confidence level means we are requiring less certainty about where the true population parameter lies, resulting in a narrower interval.

For a Given Sample Size N and Population Standard Deviation