Consider a Normally Distribution Population with Known Variance

Multiple Choice

Consider a normally distribution population with known variance.A 95% confidence interval is computed based on sample of 25 observations.If we take a new sample of 100 observations and compute a second 95% confidence interval based on the new sample,we know that the width of the second confidence interval will be exactly ____ times the width of the first confidence interval.

A) 2
B) 0.5
C) 4
D) 0.25
E) We cannot answer this question without knowing the sample means from both samples.