Question

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

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.

  1. What is the probability that a randomly selected bottle will have less than 325 ml of beer? [4 marks]
  2. What is the probability that a randomly selected 6 pack of beer will have a mean weight of less than 328? [5 marks]

Homework Answers

Answer #1

Solution :

(a)

P(x < 325) = P[(x - ) / < (325 - 330) / 4]

= P(z < -1.25)

= 0.1056

(b)

= / n = 4 / 6

P( < 328) = P(( - ) / < (328 - 330) / 4 / 6 )

= P(z < 1.225)

= 0.1103

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