1. A measure of extraversion can have scores ranging from 0-50. In the population of typical teenagers, the mean is 25 with a standard deviation of 5. Based on this information, convert each of the following raw scores (X) to z-scores.

a) X=32

b) X=17

c) X=10

d) X=49

e) X=25

2. A measure of extraversion can have scores ranging from 0-50. In the population of typical teenagers, the mean is 25 with a standard deviation of 5. Based on this information, convert each of the following z-scores to raw scores (X).

a) z=1.40

b) z=-2.20

c) z=3.20

d) z=-0.80

e) z=0.00

3. UCLA require applicants to take the SAT, which has a mean of 150 and a standard deviation of 10 in the population. Other schools require applicants to take the PSAT which has a mean of 25 and a standard deviation of 5 in the population. Thalia took both exams, receiving a 172 on the SAT, and a 37 on the PSAT. On which exam did Thalia do relatively better?

4.A college administrator states that the average high school GPA for incoming freshman students is normally distributed with a mean equal to 3.30 and a standard deviation equal to 0.20. If students with a GPA in the top 10% will be offered a scholarship, then what is the minimum GPA required to receive the scholarship?

5.A set of scores measuring aggression is normally distributed with a mean equal to 23 and a standard deviation equal to 2.5. Find the proportion:

a.) To the left of x = 19.0

b.) To the right of x = 25.5

c.) Between the mean and x = 19.0

d.) To the left of x = 25.5

e.) To the right of x = 19.0