Marketing and Consumer Behavior
Kraft Foods recently announced that the Kool-Aid mascot, that big red pitcher of the powdered drink mix with arms and legs, will receive a makeover as they unveil a new liquid mix. Kool-Aid bursts are distributed in various flavors including tropical punch, berry blue, and grape. Kraft Foods claims that the mean amount of Kool-Aid in each burst bottle is 200 milliliters (ml).15 Assume the amount of drink in each bottle is normally distributed with standard deviation 1.25 ml. Suppose a bottle of berry blue is selected at random.
a. What is the probability that the amount of drink will be between 199 and 201 ml?
b. If the amount of drink is more than 202 ml, when the bottle is opened there will be a spill. What is the probability of a spill?
c. Suppose there are 196 ml in the bottle of berry blue. Is there any evidence to suggest the claim made by Kraft Foods is false? Justify your answer.