WJEC Further Unit 5 Specimen — Question 6

Exam BoardWJEC
ModuleFurther Unit 5 (Further Unit 5)
SessionSpecimen
TopicWilcoxon tests

6. A medical student is investigating two different methods, A and B , of measuring a patient's blood pressure. He believes that Method B gives, on average, a higher reading than Method A so he defines the following hypotheses.
\(H _ { 0 }\) : There is on average no difference in the readings obtained using Methods A and B;
\(H _ { 1 }\) : The reading obtained using Method B is on average higher than the reading obtained using Method A. He selects 10 patients at random and he measures their blood pressures using both methods. He obtains the following results.
PatientABCDEFGHIJ
Method A121133119142151139161148151125
Method B126131127152145151157155160126
  1. Carry out an appropriate Wilcoxon signed rank test on this data set, using a 5\% significance level.
  2. State what conclusion the medical student should reach, justifying your answer.