A tea packaging company packages tea to an average of 5 grams per tea bag. As part of quality control, a sample of tea bags is routinely taken to check that the machinery is filling tea bags to the appropriate weight. This company packs 10 different types of tea, in equal proportions. The production manager collects a sample of size 20; 2 tea bags from each type of tea, weighs these and checks if they have an average of 5 grams each.

a) State the sampling method used by the production manager.

b) Briefly explain why you chose that sampling method.

c) The CEO suggested that the sample size be doubled. Why do you think the CEO would make this suggestion?

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