CAIE S2 2018 June — Question 2

Exam BoardCAIE
ModuleS2 (Statistics 2)
Year2018
SessionJune
TopicMeasures of Location and Spread
TypeUsing random number tables/generators

2 Amy has to choose a random sample from the 265 students in her year at college. She numbers the students from 1 to 265 and then uses random numbers generated by her calculator. The first two random numbers produced by her calculator are 0.213165448 and 0.073165196 .
  1. Use these figures to find the numbers of the first four students in her sample.
    There were 25 students in Amy's sample. She asked each of them how much money, \(
    ) x$, they earned in a week, on average. Her results are summarised below. $$n = 25 \quad \Sigma x = 510 \quad \Sigma x ^ { 2 } = 13225$$
  2. Find unbiased estimates of the population mean and variance.
  3. Explain briefly what is meant by 'population' in this question.