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.
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%