Question

An experiment is conducted involving 20 children divided into 10 pairs. The members of each pair are carefully matched so that they are similar with respect to sex, age, and IQ and previous mathematic training. They had not yet studied multiplication. One member of each pair is randomly chosen and taught multiplication using method A. The other member of the pair is taught multiplication using method B. Test scores for the 20 children after the learning experience are as follow:

Pair	1	2	3	4	5	6	7	8	9	10
Method A	51	46	30	54	24	33	41	39	44	27
Method B	38	44	31	46	21	21	37	41	30	28

A. Looking at this data what is the possible research question can be addressed here? (make a research question) (0.5 point)

B. Calculate the mean for each method? (2 points)

Mean for method A =

Mean for method B =

C. Does the design of the study appropriate? Explain why or why not? (0.5 point)

Answer 1

a) Research question: Is the learning experience different in Method A and Method B?

B. Calculate the mean for each method? (2 points)

Mean for method A = 38.9

Mean for method B =33.7

	Metod A	Method B
	51	38
	46	44
	30	31
	54	46
	24	21
	33	21
	41	37
	39	41
	44	30
	27	28
Total	389	337
Mean=Total/No of observations	38.9	33.7

C) The design of the study is not appropriate. Mean of Method A is greater than Method B. As the group which are taught multiplication by method A  scores higher than people of Method B.