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Inferential testing (A-level only)

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Question 56

An agricultural scientist investigated the impact of a new organic soil conditioner on the yield of heritage tomato plants using a matched-pairs design. After calculating the difference in yield for each pair, there were 16 pairs with non-zero differences (N=16N = 16N=16). The calculated Wilcoxon test statistic was found to be T=32T = 32T=32.

Using Table 1 below, explain whether or not the results of this study are significant at the 5% level for a two-tailed test.

Table 1: Critical values of T T\,T for the Wilcoxon Signed-Ranks Test

NNNSignificant at 0.10 level (two-tailed)Significant at 0.05 level (two-tailed)Significant at 0.01 level (two-tailed)
15302515
16352919
17413423
18474027
19534632
20605237

Note: To be significant, the calculated value of T T\,T must be equal to or less than the critical value shown in the table.

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Inferential testing (A-level only) Questions

  1. A Level
  2. /Psychology
  3. /Inferential testing (A-level only)

Practise AQA A Level Psychology Inferential testing (A-level only) with exam-style questions for A Level Psychology. 123 questions, matched to the AQA A Level Psychology (7182) 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.

Question bank