Question

Suppose a 95% confidence interval for μ 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.)

Answer 1

decrease

Explanation:

Given that the sample statistics gathered would not change very much for the new sample

When it is decided to take a larger sample, we find that automatically the margin of error decreases and hence confidence interval will become narrower.

When confidence level decreases then critical value decreases and hence margin of error decreases thus resulting in to decrease the confidence level,

Hence width would decrease.

i) Because of a larger sample size

ii) BEcause of decrease in confidence level.