Question

When constructing a confidence interval for the population mean, what would happen to the length of the CI if the margin of error, ee, gets larger?

A) The CI length decreases.
B) The CI length remains unchanged.
C) The CI length increases.
D) The CI length is not affected.

Answer 1

The length of the confidence interval increases if the margin of error gets larger.

Step-by-step explanation:

When constructing a confidence interval for the population mean, the length of the CI increases if the margin of error gets larger.

A confidence interval is a range of values within which we are confident the true population mean lies. The margin of error is the maximum distance between the sample mean and the population mean.

As the margin of error increases, the range of values in the confidence interval becomes larger. This means that we have less certainty about the true population mean, resulting in a wider confidence interval.