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. (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 all
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%

Transcribed Image Text:

z-Score-3 2 0 2 3 Height