CAIE S2 2008 June — Question 1

Exam BoardCAIE
ModuleS2 (Statistics 2)
Year2008
SessionJune
TopicMeasures of Location and Spread
TypeSampling frames and populations

1 A magazine conducted a survey about the sleeping time of adults. A random sample of 12 adults was chosen from the adults travelling to work on a train.
  1. Give a reason why this is an unsatisfactory sample for the purposes of the survey.
  2. State a population for which this sample would be satisfactory. A satisfactory sample of 12 adults gave numbers of hours of sleep as shown below.
    \(4.6 \quad 6.8\)
    5.2
    6.2
    5.7
    \(\begin{array} { l l } 7.1 & 6.3 \end{array}\)
    5.6
    7.0
    \(5.8 \quad 6.5\)
    7.2
  3. Calculate unbiased estimates of the mean and variance of the sleeping times of adults.