Data from a random sample of American women born in 1992 show that the distribution of height (measured in inches) is bell-shaped and symmetric, the mean is 64.5, and the standard deviation is 2.5.

a. What notation should we use to summarize women's height?

b. Between what two height values (in inches) do 95% of women in the sample fall between?

c. What is the z-score for a women is 5'2" (62 inches tall)?

d. Is this women unusually short? Why or why not?

e. What percent of women are taller than this women?

f. What is the height (in inches) of a woman who is 2 standard deviations above the mean?

g. What percent of women in the sample are taller than the woman who is 2 standard deviations above the mean?

h. What percent of women are in the sample are shorter than the woman who is 2 standard deviations above the mean?