# Question

Beer bottles are filled so that they contain an average of 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.

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.

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