CAIE Further Paper 4 2020 June — Question 2

Exam BoardCAIE
ModuleFurther Paper 4 (Further Paper 4)
Year2020
SessionJune
TopicWilcoxon tests

2 The times, in milliseconds, taken by a computer to perform a certain task were recorded on 10 randomly chosen occasions. The times were as follows. $$\begin{array} { l l l l l l l l l l } 6.44 & 6.16 & 5.62 & 5.82 & 6.51 & 6.62 & 6.19 & 6.42 & 6.34 & 6.28 \end{array}$$ It is claimed that the median time to complete the task is 6.4 milliseconds.
  1. Carry out a Wilcoxon signed-rank test at the \(5 \%\) significance level to test this claim.
  2. State an underlying assumption that is made when using a Wilcoxon signed-rank test.