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An anxiety researcher conducted a study comparing the effectiveness of two therapeutic interventions: Group X received Cognitive Behavioral Therapy (CBT), while Group Y received Mindfulness-Based Stress Reduction (MBSR).

Complete Table 1 and calculate the Mann-Whitney U U\,U statistic for the data in Table 1.

Table 1: Anxiety reduction scores and ranks for CBT and MBSR groups

Group X (CBT)Group Y (MBSR)
Anxiety Reduction ScoreRankAnxiety Reduction ScoreRank
31162915
28142511
2713239.5
2612185.5
239.5164
228143
207132
185.5111
TotalTotal

Mann-Whitney U U\,U formulae:

Ux=nxny+nx(nx+1)2−∑Rx U_x = n_x n_y + \frac{n_x(n_x+1)}{2} - \sum R_x Ux​=nx​ny​+2nx​(nx​+1)​−∑Rx​ Uy=nxny+ny(ny+1)2−∑Ry U_y = n_x n_y + \frac{n_y(n_y+1)}{2} - \sum R_y Uy​=nx​ny​+2ny​(ny​+1)​−∑Ry​

(where U U\,U is the smaller of Ux U_x\,Ux​ and UyU_yUy​)

Show your working.

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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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