Question

Suppose you are looking at the population of 8,000 students that are freshman.

You want to determine on average how many hours a week they work each week. Let’s call that number ?. You decide to take a sample of 100 of them.

1) How many data points are there in this space?

2) How many ways can you choose your subset of 100 students? Is it greater or less than the answer above.

3) How do you calculate the “point estimate” of one of those subsets of 100 students?

4) How many actual subsets of 100 students do you have as a researcher?

5) What does the Central Limit Theorem say about all the possible point estimates that can occur from the possible 100-student subsets? Draw a graph.

6) What value is the center of that curve? Please label it on the graph above.

Answer 1