1. You are sampling from a class of 30 Chemists and 70 Engineers. What is the probability that Jack, your first student, is an Engineer?
2. You ask Jack, turns out he is a Chemist. You sample from the remaining population. What is the probability your next selection, Jessa, is an
Engineer?
3. You continue your selections until you have four groups of 16 students each (Groups A, B, C, and D). The scores on the assessments for the whole
class have a mean of 100 and a standard deviation of 25. You want to know how representative of the class each of your four groups are. Group A has a
sample mean of 125. What is the probability a sample mean of 125 or less, given the whole class's scores? What is the probability of a sample mean of 125
or more?
4. Group B has a sample mean of 90, what is the probability of a sample mean of 90 or less, whole class's scores? What is the probability of a sample
mean of 90 or more?
5. Group C has a sample mean of 115, what is the probability of a sample mean of 115 or less, whole class's scores?
6. Group D has a sample mean of 85, what is the probability of a sample mean of 85 or less, whole class's scores? What is the probability of a sample
mean of 85 or more?
7. You know boosting sample size should help you get a more representative sample, so you decide to combine Groups A & B into Group Alpha and
Groups C & D into Group Beta. What is the new mean for Group Alpha? What is the probability of a mean above or below this score based on the whole
class's scores?