Question

1. Discuss the fact that IQ scores are normally distributed with a mean of 100 and a standard deviation of 15. Ashton Kutcher has been reported on several websites to have an IQ of 160.

a. What does it mean to have an IQ of 160?

b. What is the z-score of Ashton Kutcher’s IQ?

c. What proportion of people have an IQ score of more than 160?

d. Assuming there are about 323 million Americans, how many Americans have an IQ of over 160?

e. Do you think these websites are correct about the IQ of Ashton Kutcher?

2. Discuss the following populations and decide if the population is approximately normally distributed.

a. The lengths of the longest hair on the heads of female VVC students.

b. The numbers of hats worn by VVC students during a given school day (M-Th).

c. The amounts of liquid in all 8oz soda cans on store shelves in the United States.

d. The amounts of money spent on jeans in 2016 for every resident of Beverly Hills, CA.

e. The lifespans of all dry erase markers that are currently in the Technology Building. (The length in time from when they are taken out of the package to when they are thrown away.)

Then, have each group come up with an example of a population that is approximately normally distributed, and discuss.

Answer 1