Question

Suppose the number of dropped footballs for a wide receiver, over the course of a season, are normally distributed with a mean of 16 and a standard deviation of 12. What is the z-score for a wide receiver who dropped 13 footballs over the course of a season?

A. -3
B. -1.5
C. 1.5
D. 3

Answer 1

Given:
mean = 16
standard deviation = 12
variance = 144

z = (x - μ) / σ
z = (13 - 16) / 12
z = -3 /12
z = -1/4 or -0.25