Question

Other things being equal, the margin of error of a confidence interval increases as

Question 4 options:

the sample size increases


the sample mean increases


the confidence level decreases


the population standard deviation increases


none of the above

Answer 1

Using it's equation, it is found that the margin of of error of a confidence interval increases as the population standard deviation increases.

What is the margin of error of a confidence interval?

It is given by:

$M = z\frac{s}{\sqrt{n}}$

In which:

• z is the critical value(higher confidence level, higher z).

• s is the standard deviation.

• n is the sample size.

From it, we have that the margin of error is proportional to the confidence level and to the standard deviation, and inverse proportional to the sample size, hence the correct option is:

The margin of of error of a confidence interval increases as the population standard deviation increases.

More can be learned about confidence intervals at https://brainly.com/question/25890103