1. (10 points) The dean of a college wants to use the mean of a random sample to estimate the average amount of time students take to get from one class to the next, and she wants to be able to assert with 99% condence that the error is at most 0.25 minute. If it can be presumed from experience that o- = 1.40 minutes. how large a sample will she have to take? 2. (10 points) There are many ways to construct a 2-sided 100(1 o)% condence interval for n. In particular, if a = 0.1, explain Why _ J _ or fznns