Wilcoxon Single Sample and Paired Sample Signed Rank Tests (From OCR 4768)

Q1, (Jun 2006, Q4i)

Q2, (Jan 2007, Q4b)

Q3, (Jun 2007, Q4ii) [Modified]

You are given that the median length between successive flaws in a roll of material is 124 metres. A sample

of material is obtained and ten lengths (in metres) between flaws is noted.

239 77 179 221 100 312 52 129 236 42

Test at the 10% level of significance whether the median length may still be assumed to be 124 metres.

[9]

Q4, (Jan 2008, Q1b) [Modified]

For a different task, the times (in milliseconds) taken by my computer on 10 randomly chosen occasions

were as follows.

6.4 5.9 5.0 6.2 6.8 6.0 5.2 6.5 5.7 5.3

From past experience it is thought that the median time for this task is 5.4 milliseconds. Carry out a

suitable Wilcoxon test at the 5% level of significance to investigate this, stating your hypotheses carefully.

[10]

Q5, (Jun 2008, Q3b)

Q6, (Jan 2009, Q1b)

Q7, (Jun 2009, Q3)

Q8, (Jun 2010, Q3a)

Q9, (OCR 4735, Jun 2011, Q2)

Q10, (OCR 4735, Jun 2014, Q1)

Q11, (Jan 2012, Q3b)

Q12, (Jun 2015, Q1b)

Q13, (OCR 4735, Jun 2015, Q2)

Q14, (Jun 2016, Q2b)