When the sample size and sample standard deviation remain the same, a 99% confidence interval for a population mean, µ will be narrower than the 95% confidence interval for µ?

Using the equation for the margin of error, it is found that the 99% confidence interval will be wider than the 95% confidence interval for µ.

The margin of error of a confidence interval is given by an equation in the following format:

In which:

In this problem, a 99% confidence interval will have a higher value of t than a 95% confidence interval, hence a higher margin of error, and thus will be wider.

You can learn more about the margin of error of a confidence interval at link

make sure you have version 2.50

try looking in the very back of the book : )

step-by-step explanation:

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