11. Beer bottles are filled so that they contain an average of 330 ml of beer in

Question

11. 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 havea 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?

Explanation / Answer

= 330 = 4

a. X = 325

Z = (X - ) /

= (325 - 330) / 4

= -1.25

Probability from tables = 0.1056.

b. X' = 325

Z = (X' - ) n /

= (325 - 330) 6 / 4

= -1.25 * 6

= -3.061

Probability from tables = 0.011.

c. X' = 325

Z = (X' - ) n /

= (325 - 330) 12 / 4

= -1.25 * 12

= -4.33

Probability from tables = 0.

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