11 Turn over Question 5 continued (a) Name Davinder’s hypothesis test. State his hypotheses. Justify why his value for P (X  2) does not provide sufficient evidence that the average performance of schools in South West London is better than the average for all English state schools. (3) _____________________________________________________________________________________ _____________________________________________________________________________________ _____________________________________________________________________________________ _____________________________________________________________________________________ _____________________________________________________________________________________ _____________________________________________________________________________________ _____________________________________________________________________________________ _____________________________________________________________________________________ _____________________________________________________________________________________ _____________________________________________________________________________________ _____________________________________________________________________________________ _____________________________________________________________________________________ Davinder wants to use a Wilcoxon signed-rank test to investigate whether the average performance of schools in South West London is better than the average for all English state schools. (b) Using the data given in Figure 3 and making any necessary assumptions, conduct the Wilcoxon signed-rank test for Davinder. What can he conclude? (6) _____________________________________________________________________________________ _____________________________________________________________________________________ _____________________________________________________________________________________ _____________________________________________________________________________________ _____________________________________________________________________________________ _____________________________________________________________________________________ _____________________________________________________________________________________ _____________________________________________________________________________________ _____________________________________________________________________________________ _____________________________________________________________________________________ _____________________________________________________________________________________