Question

Assuming that the heights of college women are normally distributed with mean 67 inches and standard deviation 2.9 inches, answer the following questions. (Hint: Use the figure below with mean and standard deviation o.) Area Under a Normal Curve 19.5% 34% 3 - 30 -20 - + 95% 20% (a) What percentage of women are taller than 67 inches? (b) What percentage of women are shorter than 67 inches? (c) What percentage of women are between 64.1 inches and 69.9 inches? (d) what percentage of women are between 61 2 and 72.8 inches?

Answer 1

Solution :

Using Empirical rule,

(a)

P( X > 67) = 1 - P(X < 67) = 50%

(b)

P(X < 67) = 50%

(c)

P(64.1 < X < 69.9) = P(X < 69.9) - P(X < 64.1) = 68%

(d)

P(61.2 < X < 72.8) = P(X < 72.8) - P(X < 61.2) = 95%