In the construction of a confidence interval,as the confidence level required in estimating the mean increases,the width of the confidence interval ______________.
A)Stays the same
B)Decreases
C)Increases

Question

Quizplus · Accepted Answer

As the confidence level increases, the width of the confidence interval also increases. This is because a higher confidence level implies a larger range of values that could contain the true population mean. As a result, the margin of error (which is the distance between the sample mean and the upper/lower bounds of the interval) increases, leading to a wider confidence interval.

In the Construction of a Confidence Interval,as the Confidence Level