Heights of Women - Heights of women in the U.S. population have a mean of 63.6 i

Question

Heights of Women - Heights of women in the U.S. population have a mean of 63.6 in. and a standard deviation of 2.5 in. Using the empirical rule, and , what is the approximate percentage of women between: a. 61.1 in. and 66.1 in.?    b. 56.1 in. and 71.1 in.? c. 58.6 in. and 66.1 in.? Heights of Women - Heights of women in the U.S. population have a mean of 63.6 in. and a standard deviation of 2.5 in. Using the empirical rule, and , what is the approximate percentage of women between: a. 61.1 in. and 66.1 in.?    b. 56.1 in. and 71.1 in.? c. 58.6 in. and 66.1 in.?

Explanation / Answer

= 63.6, = 2.5, z = (x - )/

(a) z1 = (61.1 - 63.6)/2.5 = -1 and z2 = (66.1 - 63.6)/2.5 = 1

Probability = 0.6827 (68.27%)

(b) z1 = (56.1 - 63.6)/2.5 = -3 and z2 = (71.1 - 63.6)/2.5 = 3

Probability = 0.9973 (99.73%)

(c) z1 = (58.6 - 63.6)/2.5 = -2and z2 = (66.1 - 63.6)/2.5 = 1

Probability = 0.8186 (81.86%)

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