N2013 P2 Q5

N2013 P2 Q5

Junior College 2
4 marks

A large multi-national company has \(100\,000\) employees based in several different countries. To celebrate the \(90\)th anniversary of the founding of the company, the Chief Executive wishes to invite a representative sample of \(90\) employees to a party, to be held at the company's Headquarters in Singapore.

  1. Explain how random sampling could be carried out to choose the \(90\) employees. Explain briefly why this may not provide the representative sample that the Chief Executive wants.[2]
  2. Name a more appropriate sampling method, and explain how it can be carried out to provide the representative sample that the Chief Executive wants.[2]

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Answer:(i) Choose \(90\) distinct employee numbers randomly; country proportions may be unrepresentative. (ii) Stratified random sampling by country, with proportional allocation.

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