Answer:
40 cans weigh over 14.7 ounces
Step-by-step explanation:
Given
Mean = 14 ounces
SD = 0.7
We have to find the z-score for 14.7 first
[tex]z = \frac{14.7-14}{0.7}\\z = \frac{0.7}{0.7} = 1[/tex]
As we have to find the number of cans greater than 14.7, forst we will find the area to the left of obtained z-score and then subtract from 1.
So,
P(z<1) = 0.8413
Now,
P(z>1) = 1 - P(z<1) = 1-0.8413 = 0.1587
As the total number of cans is 250,
The cans which weigh over 14.7 are:
= 0.1587 * 250
= 39.675
Rounding off to nearest whole number
40 cans
Hence,
40 cans weigh over 14.7 ounces
