Heights of American adult males and females ages 20-49 are approximately normally distributed. Male heights have a mean of 69.3 inches and a standard deviation of 2.92 inches. Female heights have a mean of 64.1 inches and a standard deviation of 2.75 inches.

1. Use z-scores to answer the questions below.

Abraham Lincoln was 6 ft 4 in tall. What is the z-score of his height in comparison to today's height

distribution for adult males? What does it mean?

Reese Witherspoon is 5'2" tall. What is the z-score of her height? What does it tell us?

Richard Sligh (1944-2008) was the tallest American football player in NFL history. If his z-score based on the height distribution for adult U.S. males was 4.67, how tall was he?

The z-score for the height of J.K. Rowling, the author of the Harry Potter books (based on the height distribution for adult U.S. females), is 0.4. How tall is she?