A 99% confidence interval for the population mean $\mu$ is determined to be (65.32 to 73.54). If the confidence level is reduced to 90%, the 90% confidence interval for $\mu$
A) becomes wider
B) becomes narrower
C) remains unchanged
D) None of the above answers are correct.

Question

Quizplus · Accepted Answer

When the confidence level is reduced (from 99% to 90% in this case), the confidence interval becomes narrower because a lower confidence level means we accept a higher probability of error, thus requiring a smaller range to capture the true population mean.

A 99% Confidence Interval for the Population Mean μ\muμ Is Determined to Be (65

A 99% Confidence Interval for the Population Mean $\mu$ Is Determined to Be (65