The heights of women aged 20 to 29 follow approximately the N(64, 2.76) distribution. Men the same age have heights distributed as N(69.3, 2.7). What percent of young men are shorter than the mean height of young women?
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TEAMDUCKS -
Mean height of women = 64
For men, P(X < 64) = P[z < (64 - 69.3) / 2.7] = P(z < -1.96) , now look this up in a Standard Normal table
P(z < -1.96) = 0.025 or 2.5%
Hope that helped
Mean height of women = 64
For men, P(X < 64) = P[z < (64 - 69.3) / 2.7] = P(z < -1.96) , now look this up in a Standard Normal table
P(z < -1.96) = 0.025 or 2.5%
Hope that helped