Consider the class average in an exam in a few different settings. In all cases, assume that we have a large class consisting of equally well-prepared students. Think about the assumptions behind the central limit theorem, and choose the most appropriate response under the given description of the different settings. a. Consider the class average in an exam of a fixed difficulty.

1. The class average is approximately normal.
2. The class average is not approximately normal because the student scores are strongly dependent.
3. The class average is not approximately normal because the student scores are not identically distributed.

2. Consider the class average in an exam that is equally likely to be very easy or very hard.
a. The class average is approximately normal
b. The class average is not approximately normal because the student scores are strongly dependent
c. The class average is not approximately normal because the student scores are not identically distributed

3. Consider the class average if the class is split into two equal-size sections. One section gets an easy exam and the other section gets a hard exam.
a. The class average is approximately normal
b. The class average is not approximately normal because the student scores are strongly dependent
c. The class average is not approximately normal because the student scores are not identically distributed