Question

A bottler of drinking water fills plastic bottles with a mean volume of 1006 milliliters (mL) and standard deviation 7 mL. The fill volumes are normally distributed. What proportion of bottles have volumes between 996 mL and 1001 mL.

Answer 1

1001 is 5/7 s.d. below the mean

996 is 10/7 s.d. below the mean

use a z-score table to find the portion of the population this represents