CAIE S2 2011 November — Question 3

Exam BoardCAIE
ModuleS2 (Statistics 2)
Year2011
SessionNovember
TopicMeasures of Location and Spread
TypeUsing random number tables/generators

3 Jack has to choose a random sample of 8 people from the 750 members of a sports club.
  1. Explain fully how he can use random numbers to choose the sample. Jack asks each person in the sample how much they spent last week in the club café. The results, in dollars, were as follows. $$\begin{array} { l l l l l l l l } 15 & 25 & 30 & 8 & 12 & 18 & 27 & 25 \end{array}$$
  2. Find unbiased estimates of the population mean and variance.
  3. Explain briefly what is meant by 'population' in this question.