We are interested in examining scores on tests of academic achievement for a group of third graders at a nearby school social studies. The hope is we can take a sample of these students’ scores and generalize them to third graders in the entire state. What sample size might be better and why: 3 or 300?

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? Show your work and clearly label where each number is coming from. (SD=10).