A Sample of a Given Size Is Used to Construct

Multiple Choice

A sample of a given size is used to construct a 95% confidence interval for the population mean with a known population standard deviation. If a bigger sample had been used instead, then the 95% confidence interval would have been ________ and the probability of making an error would have been ________.

A) wider; smaller
B) narrower; smaller
C) wider; unchanged
D) narrower; unchanged