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Question 206

Complete Table 2 and calculate the Mann-Whitney U U\,U value for the results of Elena'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=10,nb=10n_a = 10, n_b = 10na​=10,nb​=10)
  • 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: Silent study roomCondition B: Lyrical background music
Reading score (out of 15)RankReading score (out of 15)Rank
121485
1418.5109.5
1111.597.5
1316.585
152097.5
12141214
1111.573
109.585
1316.562
1418.551
TotalTotal
[4]
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Methods Questions

  1. A Level
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Practise Edexcel A Level Psychology Methods with exam-style questions for A Level Psychology. 638 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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