Question 2.3 – To ensure that Head & Shoulders shampoo is not over or under filling its 500ml…

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Question 2.3 – To ensure that Head & Shoulders shampoo is not over or under filling its 500ml
bottles, the company maintains records regarding the amount in each 500ml bottle. The records
indicate that the amount of shampoo in each bottle follows a normal probability distribution. The
mean amount of shampoo per bottle is 500.2ml and the population standard deviation is 0.8ml. A
technician selects a sample of 36 bottles from the filling line. The mean amount of shampoo
contained in the sample of bottles is 500.7ml.
Apply the Central Limit Theorem to investigate if this is an unlikely result?

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