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Complete Table 2 and calculate the Mann-Whitney U U\,U value for the results of Dr Aris's investigation.

Use the following formulas for the Mann-Whitney U U\,U test:

Ua=nanb+na(na+1)2−Ra U_a = n_a n_b + \frac{n_a(n_a + 1)}{2} - R_a Ua​=na​nb​+2na​(na​+1)​−Ra​ Ub=nanb+nb(nb+1)2−Rb U_b = n_a n_b + \frac{n_b(n_b + 1)}{2} - R_b Ub​=na​nb​+2nb​(nb​+1)​−Rb​

where:

  • na n_a\,na​ and nb n_b\,nb​ are the sample sizes of Group A and Group B respectively (na=9,nb=9n_a = 9, n_b = 9na​=9,nb​=9)
  • Ra R_a\,Ra​ and Rb R_b\,Rb​ are the sum of the ranks for Group A and Group B respectively
  • the final test statistic U U\,U is the smaller of Ua U_a\,Ua​ and Ub U_b\,Ub​

Table 2:

Condition A: No blue-light exposureCondition B: Blue-light exposure
Coordination score (out of 20)RankCoordination score (out of 20)Rank
19181816.5
1816.5118.5
1715107
1613.585.5
1411.585.5
1613.574
131063
1411.552
118.531
TotalTotal
[4]

Methods Questions

Practise Edexcel A Level Psychology Methods with exam-style questions for A Level Psychology. 100 questions, matched to the Edexcel A Level Psychology (9PS0) specification and written in Paper 1, Paper 2 and Paper 3 style. Every question includes a full worked solution and mark scheme, so you can see where marks are awarded rather than just whether you got the answer right.

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