i need help with this question

Question

Adult men have an average height of 69.0 inches with a standard deviation of 2.8 inches. Find the height of a man with a z-score of 3.39. Round your answer to one decimal place

Answer 1

Hi Morgan,

This question uses the classic equation in elementary statistics: z= (x-mu)/sigma. Here, you are given z, mu, and sigma. X is the height you are looking for. Breaking this down:

z= 3.39

x= x, desired height

mu = mean = 69.0

sigma = standard deviation = 2.8

Now, substitute into:

z=(x-mu)/sigma

3.39 = (x-69.0)/2.8

Multiply both sides by 2.8:

9.492 = x - 69.0

Add 69 on both sides:

x = 78.492

Round to one decimal

x=78.5

I hope this helps.