4). The prices of various cereal boxes is normally

distributed with a standard deviation of 0.5. If a

box of Lucky Charms sells for $4.29 and has a

Z-score of 1.6, what is the mean price of a box of

cereal?

difference in rise is $0.95 = $5.24

lucky charms = $4.29 = 22.03% 0.945

As deviation 0.5 of 4.29 = 97.855%

22.03% of 4.29 = 0.945 = + 4.29 = $5.24

Step-by-step explanation:

z score = 0

A z-score less than 0 represents an element less than the mean. A z-score greater than 0 represents an element greater than the mean. A z-score equal to 0 represents an element equal to the mean.

0.5 : 0.9452

This replaces the deviation

lucky charms = $4.29 = 22.03% more 0.945

As deviation 0.5 of 4.29 = inverse of 97.855% = 0.02145

2.145% 22.03-2.145

22.03% of 4.29 = 0.945 = + 4.29 = 5.235 = $5.24

So this means the difference in rise is $0.95