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Question 3 Beer bottles are filled at an automated filling plant so that the mean volume...

Question 3 Beer bottles are filled at an automated filling plant so that the mean volume of beer is set at 330 ml. in each bottle. From historic data, we know the volume of beer filled in a bottle is normally distributed with a standard deviation of 4 ml.

Required of you:

a) What is the probability that a randomly selected bottle will contain less than 325 ml?

b) What is the probability that a randomly selected 6-pack will have a mean volume less than 325 ml?

c) What is the probability that a randomly selected 12-pack will have a mean volume less than 325 ml?

d) Comment on the impact the sample size (single bottle, 6-pack and 12-pack) has on the results computed above.

Math   Statistics-And-Probability   
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