For a pair of samples with the same sample size, but where the second has a standard deviation twice as large, the 95% confidence interval for the second sample is twice as wide as the first.

Question

Quizplus · Accepted Answer

The width of a confidence interval is directly proportional to the standard deviation of the sample; therefore, if the standard deviation of the second sample is twice as large, the confidence interval will also be twice as wide, assuming the sample size and confidence level remain constant.

For a Pair of Samples with the Same Sample Size