1. Given the following information, compute the raw score:

a.M= 45,s= 12,z= -1.5

b.= 250,s= 20, the score is 4 standard deviations below the mean

c.= 34,s= 4.5, the score is 2.5 standard deviations above the mean

2. A distribution has a standard deviation of 50. What is thez-score for a raw score that is 25 points below the mean?

3. Compute thez-scores for the following raw scores:

a.= 240,s= 60,X= 340

b.M= 541,s= 124,X= 235

4. A score that is 10 points above the mean in a population corresponds to az-score ofz= 2.0. What is the population standard deviation? (Hint: Use LOGIC to answer this question. If you understand the relationship betweenz-scores and standard deviation, you can answer this question easily.)

5. In a sample of 40 students, you found that the mean rating of current mood on a scale of 1-10 (1 = very unhappy; 10 = very happy) was 7.3 with a standard deviation of 1.9. One of the participants had a raw score of 6. Calculate thez-score.

6. In a different sample of 50 students, the mean rating of current mood on a scale of 1- 7 (1 = very unhappy; 7 = very happy) was 4.9 with a variance of 0.64. One participant rated their mood as a 5 on this scale. Calculate thez-score.

7. Of the two participants in Questions 5 and 6, who had a better mood? How do you know?

8. A distribution has a standard deviation of 15. What is thez-score for a raw score that is 30 points above the mean?