For a given confidence level and population standard deviation σ,the width of the confidence interval for the population mean is wider,the smaller the sample size n.

Question

For a given confidence level  and population standard deviation σ,the width of the confidence interval for the population mean is wider,the smaller the sample size n.

Quizplus · Accepted Answer

This statement is true. As the sample size decreases, the standard error of the mean increases, which leads to a wider confidence interval. This is because the smaller sample size provides less information about the population mean, and therefore there is more uncertainty in the estimate.

For a Given Confidence Level and Population Standard Deviation