Question

A set of average city temperatures in December are normally distributed with a mean of 16.3 degrees C and a standard deviation of 2 degrees C.

∘What proportion of temperatures are between 12.9 degrees C and 14.9 degrees C?
you may round your answer four decimal places.

Answer 1

Answer: 0.1974

Explanation:

z1 = (12.9 - 16.3)/2 = (-3.4)/2 = -1.7

Z2 = (14.9 - 16.3)/2 = (-1.4/2) = -0.7

“Z table”

Z1= -1.7 ~ 0.0446

Z2 = -0.7 ~ 0.242

0.2420 - 0.0446= 0.1974