Question 6. (10 points)

In the study of adolescent aggression, researchers randomly sampled sophomores at a local high school. Not all of the sophomores were exactly the same age, but the age dispersion was normally distributed. The mean age of their sample was 15 years and the standard deviation (SD) was .5 years (half a year).

A. Draw a Normal distribution density curve of the adolescent ages. Label the mean and the ages that are 1, 2, and 3 SD's away from the mean (both to the left and right of the mean).Add your hand-drawn density curve to your homework by taking a picture of your notes and inserting the image into this document (Insert Pictures).

B. Using the 68-95-99.7 rule, what percent of adolescents were between the ages of 14.5 and 15.5?

C. Using the 68-95-99.7 rule, what percent of adolescents were between the ages of 14.5 and 13.5?

D. Using what you know about distributions, if an adolescent's age was 16.25 years, would they be in the top 10% of the distribution? Explain your answer.