A psychology class performed an experiment to determine whether a reca

Question

A psychology class performed an experiment to determine whether a recall score in which instructions to form images of 25 words were given differs from an initial recall score for which no imagery instructions were given. Twenty students participated in the experiment with the results listed in the table:

Student	With Imagery	Without Imagery	Student	With Imagery	Without Imagery
1	20	5	11	17	8
2	24	9	12	20	16
3	20	5	13	20	10
4	18	9	14	16	12
5	22	6	15	24	7
6	19	11	16	22	9
7	20	8	17	25	21
8	19	11	18	21	14
9	17	7	19	19	12
10	21	9	20	23	12

(a) What two testing procedures can be used to test for differences in the distribution of recall scores with and without imagery? What assumptions are required for the parametric procedure? Do these data satisfy these assumptions?

(b) Use both the parametric and non-parametric tests for differences in the distributions of recall scores under these two conditions.

20 Feb 2025

Answer :

Word Count : 253

To answer this problem numerically, I will do the following: 1. Identify Suitable Tests - Parametric: Paired t-test - Non-parametric: Wilcoxon signed-rank test 2. Check Assumptions for Parametric Test - Normality assumption (using Shapiro-Wilk test) - If normality is violated, non-parametric test is preferred 3. Perform Both Tests - Compute the paired t-test - Compute the Wilcoxon signed-rank test 4. Compare Results - _______ ________ __________ ______ ____ __________ ________ _______.
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Campaign
1	2	3
0.33	0.28	0.21
0.29	0.41	0.30
0.21	0.34	0.26
0.32	0.39	0.33
0.25	0.27	0.31

	Developing Section	Rest of the City
Sample size	50	100
Number favoring proposa	38	65

	Region
	1	2
Sample size	100	100
Sample mean	2.4	3.1
Sample variance	1.44	2.64

Worker A	19	22	24	27	24	18	20	19	25
Worker B	26	37	40	35	30	40	26	30	35	45