The manufacturer wants to adjust the production process so t

The manufacturer wants to adjust the production process so that only 1 candy bar in 1000 weighs less than the advertised weight. (What does this mean as far as the proportion of bars that weight less than that weight?) What should they advertise the candy bar weigh to be? Assume mean and SD remain the same. Make a sketch of the problem. What is the z-score that corresponds to the probability in your sketch? c) What should the advertised weight be?

Solution

that means that only 1/1000 = 0.001 will have less than the advertised weight

that means that this is a Z negative because is only 0.001 and need to be less than the advertised weight that we need to find

calculating Z in normal tables

Z= - 3.09

c)

-3.09 = (x - 22) / 0.04

x=21.8764