I am interested in examining scores on tests of academic achievement for a group of third graders at a nearby school in social studies. The hope is I can take a sample of these students' scores and generalize them to third graders in the entire state.

1. What sample size might be better and why - 3 or 300?

2. For the above problem, if the overall score of the class is an average of 30, what is the probability that in a random sample of 17 students the score will be above 40? Please explain so I know where each number is coming from.