SOLUTION: In a survey of women in the United States (ages 20-29), the mean height is 69.9 inches with a standard deviation 3.0 inches. a. What height represents the 95th percentile? b. W

Algebra ->  Algebra  -> Probability-and-statistics -> SOLUTION: In a survey of women in the United States (ages 20-29), the mean height is 69.9 inches with a standard deviation 3.0 inches. a. What height represents the 95th percentile? b. W      Log On

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 Question 456839: In a survey of women in the United States (ages 20-29), the mean height is 69.9 inches with a standard deviation 3.0 inches. a. What height represents the 95th percentile? b. What height represents the first quartile? Answer by stanbon(57290)   (Show Source): You can put this solution on YOUR website!In a survey of women in the United States (ages 20-29), the mean height is 69.9 inches with a standard deviation 3.0 inches. a. What height represents the 95th percentile? Find the z-value with a left tail of 95%: z = 1.645 Use x = zs+u x = 1.645*3+69.9 = 74.835 inches ---------------------------------------------------- b. What height represents the first quartile? Find the z-value with a left tail of 25%: z = -0.6745 x = -0.6745*3+69.9 = 67.877 inches ================================== Cheers, Stan H.