Unit 3 assignment psych stats

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PSY 3200

Unit #3 AS: Calculating Percentages

You will be given a series of questions regarding a normal distribution, you will be asked to either determine the percentage above or below particular raw scores; or to calculate the raw score that will correspond to a particular percentage. You will be asked to calculate either raw scores or percentages. For each question write out your calculation, the appropriate Z score, what on the curve you should be shading, the exact percentage from the normal curve table and the final answer. Type this all out on the assigned word document and submit via blackboard.

A group of students take a Statistics Exam where the average was M = 90 and the standard deviation was SD = 7.8. Answer the following questions regarding this distribution using your normal curve table. Depending on the problem, be sure to identify the raw scores, Z scores, what in particular you shaded when creating a curve and the final answer. (5 pts each)

1. If you score a 99, what percentage of the population scored above you?

2. What raw score is needed to be in the top 8%?

3. What raw score is needed to reach the 14th percentile?

4. What range of raw scores makes up the middle 40%?

5. If you score an 80, what percentage of the population scored above you?

6. What percentage of the population lands between the raw scores of 82 and 107?

7. If you score a 85, what percentage of the population scored above you?

8. What raw score is needed to be in the bottom 16%?

9. If you score a 96, what percentage of the population scored above you?

10. What raw score is needed to be in the top 17%?

11. What raw score is needed to reach the 90th percentile?

12. What percentage of the population lands between the raw scores of 83 and 100?

13. If you score a 85, what percentage of the population below you?

14. What raw score is needed to be in the bottom 28%?

15. What percentage of the population lands between the raw scores of 86 and 105?