A 99% confidence interval for the population mean μ is found to be (84.76, 92.17).If we were to use the same sample to construct a 95% confidence interval for this parameter, the 95% interval would be:
A) wider than the 99% confidence interval.
B) the same width as the 99% confidence interval.
C) narrower than the 99% confidence interval.
D) unrelated to the 99% confidence interval in terms of center and width.

Question

Quizplus · Accepted Answer

The 95% confidence interval is narrower than the 99% confidence interval because it requires less certainty, resulting in a smaller margin of error.

A 99% Confidence Interval for the Population Mean μ Is