If the mileage per gallon for a car is normally distributed, 32 mpg has a z score of 1.2, and 24 mpg has a z score of −.4, what is the mean mpg of the distribution?
A) 28
B) 26
C) 30
D) 38

Question

Quizplus · Accepted Answer

μ_x + Zσ_x = X μ_x + 1.2σ_x = 32 (1) μ_x + 4σ_x = 24 (2) μ_x + 32 − 1.2σ_x, substituting μ_xin (2); 32 − 1.2σ_x− .4σ = 24 1.6σ = 8 σ = 5 μ_x = 32 − 1.2(5) = 26

If the Mileage Per Gallon for a Car Is Normally