Suppose a 95% confidence interval for $\mu$ has been constructed.If it is decided to take a larger sample and to decrease the confidence level of the interval,then the resulting interval width would ________.(Assume that the sample statistics gathered would not change very much for the new sample.)
A) be the same as the current interval width
B) be narrower than the current interval width
C) be unknown until actual sample sizes and reliability levels were determined
D) be larger than the current interval width

Question

Quizplus · Accepted Answer

Taking a larger sample size generally decreases the standard error, and decreasing the confidence level reduces the critical value, both of which contribute to a narrower confidence interval width.

Suppose a 95% Confidence Interval For μ\muμ Has Been Constructed

Suppose a 95% Confidence Interval For $\mu$ Has Been Constructed