A 90% confidence interval is constructed for the population mean.If a 95% confidence interval had been constructed instead (everything else remaining the same),the width of the interval would have been ________ and the probability of making an error would have been _________.
A)Wider;bigger
B)Wider;smaller
C)Narrower;bigger
D)Narrower;smaller

Question

Quizplus · Accepted Answer

A 95% confidence interval is wider than a 90% confidence interval because it provides more certainty (confidence) that the interval contains the true population mean. Consequently, the probability of making an error (not capturing the true mean) is smaller with a 95% confidence interval compared to a 90% confidence interval.

A 90% Confidence Interval Is Constructed for the Population Mean