A researcher studying the height of college freshmen determines the average height of males to be 5'10 with a standard deviation of 1.5 inches. John has a Z score of +1.96, which means John is what height?
A) 5'7
B) 6'1
C) 6'4
D) 5'4

Question

Quizplus · Accepted Answer

Using the formula for converting Z scores to actual values:
Z = (X - mean) / standard deviation

We plug in the values given:
1.96 = (X - 70) / 1.5
1.96(1.5) = X - 70
2.94 = X - 70
X = 67.06

Therefore, John's height is 6'1 (since we are given the heights in feet and inches).

A Researcher Studying the Height of College Freshmen Determines the Average