= x - Z = x - M

s

1. For a population with = 80 and = 6, what is the z-score corresponding to X = 62

2. For a sample with M=40 and s=8, what is the z-score corresponding to X=42?

3. Use the following raw data to find the z-score for each of the raw scores in a population:

Raw Score (X)	(X-)	(X-)2	z
12
6
18
4
9

4. A population of scores has = 44. In this population, a score of X = 40 corresponds to z= - 0.50. What is the population standard deviation?

5. On a single draw from a complete deck of 52 cards, what is the probability of drawing a "face card" (a jack, queen, or king)?

6. For the following questions, assume that the underlying distribution of psychology GRE scores is normally distributed with a population mean of 500 and a standard deviation of 100 points.

Show all your work. You will need your Unit Normal Table.

a. What are the proportion of students who receive a GRE score of 670 or less?

b. What GRE score corresponds to the 40th percentile rank? That is, what is the score at which 40% of scores are at or below that score?

c. If we tested 300 students randomly drawn from the population of students taking the GRE, how many would we expect to score between 550 and 650 (2 points)?