The larger the level of confidence used in constructing a confidence interval estimate of the population mean the:
A) smaller the probability that the confidence interval will contain the population mean.
B) smaller the value of $Z _ { \alpha / 2 }$
C) wider the confidence interval.
D) narrower the confidence interval.

Question

Quizplus · Accepted Answer

The larger the level of confidence used in constructing a confidence interval estimate of the population mean, the wider the confidence interval. This is because as the level of confidence increases, we need to be more certain that our interval contains the population mean, which requires including more possible values within the interval.

The Larger the Level of Confidence Used in Constructing a Confidence