Question

The heights of american adult men are normally distributed with a mean of 69.7 inches and a standard deviation of 2.7 inches what is the standard score for a height of 6 foot 2 inches

Answer 1

1.5926

Explanation:

-We need to first convert the height in feet to inches: Since there are 12 inches in a foot, that means there are 74 inches in a height of 6 foot 2 inches.

-Since the observed height is 74 inches and the mean height is 69.7 inches, we can find the z score by using the following formula:

z = (x-mean) / standard deviation

-We would fill this out like this:

z = (74-69.7) / 2.7

-This equals = 1.592592593

-Rounded to 4 decimal places, this equals 1.5926