The heights of adult men in America are normally distributed, with a mean of 69.8 inches and a standard deviation of 2.61 inches
. The heights of adult women in America are also normally distributed, but with a mean of 64.6 inches and a standard deviation of 2.51 inches. a) If a man is 6 feet 3 inches tall, what is his z-score (to two decimal places)
We have been given the heights of adult men in America are normally distributed, with a mean of 69.8 inches and a standard deviation of 2.61 inches. We are asked to find the z-score of height of man with 6 feet 3 inches.
We will use z-score formula to solve our given problem.
, where,
z = z-score,
x = Sample score,
= Mean,
= Standard deviation,
6 feet 3 inches = 72+3 inches = 75 inches
Therefore, the z-score for the man with height of 6 feet 3 inches is 1.99.