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Question 2Adult men have heights with a mean of 69.0 inches and a standard deviation of 2.8 inches. Find the height of aman with a Z-score of 1.9 (to 2 decimal places)Question Help: D VideoSubmit Question

Answer 1

Z score is given by

$z\text{ = }\frac{x-\mu}{\sigma},\text{ where }\mu\text{ = 69.0 and }\sigma\text{ = 2.8}$

Where x is the height of man.

For z = 1.9, we got: 1.9 = (x - 69.0)/2.8

Then, x = 1.9*2.8 + 69.0 = 74.32 inches