Answer: At a value of 12.3 the mean should be set so that 99.9% of all cans exceed 12 fluid ounces.
Explanation:
Let us assume that X is a normal rando variable with a mean value
and standard deviation
.
Hence, random variable Z will be introduced as follows.
(a) Set the value
and the equation will be written down as follows.
According to the tables,
Thus, we can conclude that at a value of 12.3 the mean should be set so that 99.9% of all cans exceed 12 fluid ounces.