For the following Questions assume that the heights of American women ages 18 to 24 are normally distributed, with mean 64.5 inches and standard deviation 2.5 inches.
-Twenty-year-old Amy is 67 inches tall. Where is she located in the height distribution of women ages 18 to 24?
A) Below the first quartile
B) Between the first quartile and the mean
C) Between the mean and the third quartile
D) Above the third quartile

Question

Quizplus · Accepted Answer

Amy's height is 67 inches, which is above the mean of 64.5 inches. Given the normal distribution and a standard deviation of 2.5 inches, a height of 67 inches is more than one standard deviation above the mean but less than two standard deviations above. In a normal distribution, the first quartile is below one standard deviation below the mean, and the third quartile is below one standard deviation above the mean. Therefore, Amy's height places her above the third quartile.

For the Following Questions Assume That the Heights of American