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Question 4
4. Lei investigated the effect of word length on short-term memory capacity. She used a volunteer sampling technique to gather 20 participants. Lei allocated her par... show full transcript
Step 1
Step 2
Step 3
Answer
To calculate Mann-Whitney U:
Condition A: Monosyllabic Words
Number of Words Recalled | Rank |
---|---|
9 | 16.5 |
8 | 13.5 |
9 | 16.5 |
10 | 19.5 |
10 | 19.5 |
11 | 20.5 |
9 | 16.5 |
9 | 16.5 |
Total | 145.5 |
Condition B: Polysyllabic Words
Number of Words Recalled | Rank |
---|---|
5 | 5 |
7 | 11 |
6 | 8 |
7 | 11 |
9 | 16.5 |
16 | 17 |
6 | 8 |
1 | 1 |
Total | 64.5 |
Step 4
Answer
Using the calculated U value (28.5), we compare it to the critical value for a one-tailed Mann-Whitney test with 8 participants in each condition. The critical value at p ≤ 0.05 is 27. Since 28.5 is greater than 27, we conclude that Lei's data are not significant at p ≤ 0.05.
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