Chapter 6, Problem 16SE

Women’s Heights Assume that college women’s heights are approximately Normally distributed with a mean of 65 inches and a standard deviation of 2.5 inches. On the horizontal axis of the graph, indicate the heights that correspond to the $z$ -scores provided. (See the labeling in Exercise 6.14.) Use only the Empirical Rule to choose your answers. Sixty inches is 5 feet, and 72 inches is 6 feet.

a. Roughly what percentage of women’s heights are greater than 72.5 inches?

i. almost all

ii. 75%

iii. 50%

iv. 25%

v. about 0%

b. Roughly what percentage of women’s heights are between 60 and 70 inches?

i. almost al

ii. 95%

iii. 68%

iv. 34%

v. about 0%

c. Roughly what percentage of women’s heights are between 65 and 67.5 inches?

i. almost all

ii. 95%

iii. 68%

iv. 34%

v. about 0%

d. Roughly what percentage of women’s heights are between 62.5 and 67.5 inches?

i. almost all

ii. 95%

iii. 68%

iv. 34%

v. about 0%

e. Roughly what percentage of women’s heights are less than 57.5 inches?

i. almost all

ii. 95%

iii. 68%

iv. 34%

v. about 0%

f. Roughly what percentage of women’s heights are between 65 and 70 inches?

i. almost all

ii. 95%

iii. 47.5%

iv. 34%

v. 2.5%