American women’s heights are approximately normally distributed with mean 63.8 inches and standard deviation 4.2 inches. American men’s heights are approximately normally distributed with mean 69.4 inches and standard deviation 4.7 inches.
a. Tulsa Cambage and Phoenix Griner are the two tallest women currently playing in the Women’s National Basketball Association. They are 80 inches tall. Find the z-score of 80 inches for the women’s heights distribution.
b. Hasheem Thabeet is the tallest man currently playing in the men’s National Basketball Association. He is 87 inches tall. Find the z-score of 87 inches for the men’s heights distribution.
c. Who has the relatively larger height, Thabeet or Cambage and Griner?
d. Do Cambage and Griner have an unusual height for women? How about Thabeet for men? Explain.