Question: Beer bottles are filled so that they contain 330 ml of beer in each bottle. Suppose that the amount of beer in a bottle is normally distributed with a standard deviation of 4 ml.
a. What is the probability that a randomly selected bottle will have less than 325 ml of beer?
b. What is the probability that a randomly selected 6-pack of beer will have a mean amount less than 325 ml?
c. What is the probability that a randomly selected 12-pack of beer will have a mean amount less than 325 ml?
d. Comment on the sample size and the corresponding probabilities.