A large sleep study involving over 5000 American teenagers examined how many hours the participants slept on the weekend. The nightly sleep times were distinctly non-normal with a mean of 10 hours and...

A large sleep study involving over 5000 American teenagers examined how many hours the participants slept on the weekend. The nightly sleep times were distinctly non-normal with a mean of 10 hours and a standard deviation of 2 hours. Suppose we take a random sample of 100 nightly sleep times from this population. We can assume that the times in the sample are independent.