Question

A cognitive psychologist working in the area of suggestion asked a sample of children to solve as many problems as they could in 15 minutes. Half of the children are told that this is a problem-solving task and the other half are told that this is just a time-filling task. The psychologist hypothesizes that thinking it is a time-filling task will reduce problem solving. What can be concluded with an α of 0.05? Below is the data for the number of problems solved.

problem-solving	time-filling
10 5 8 7 6 8 7	3 4 7 4 2 6 4

a) What is the appropriate test statistic?
---Select One--- (na, z-test, One-Sample t-test, Independent-Samples t-test, or Related-Samples t-test)

b)
Condition 1:
---Select One--- (problems solved, problem-solving, time-filling, suggestion, or the children)
Condition 2:
---Select One--- (problems solved, problem-solving, time-filling, suggestion, or the children)

c) Obtain/compute the appropriate values to make a decision about H₀.
(Hint: Make sure to write down the null and alternative hypotheses to help solve the problem.)
critical value = ____ ; test statistic = _____
Decision:  ---Select One--- (Reject H0 or Fail reject H0)

d) If appropriate, compute the CI. If not appropriate, input "na" for both spaces below.
[ ____ , ____ ]

e) Compute the corresponding effect size(s) and indicate magnitude(s).
If not appropriate, input and/or select "na" below.

d = _____ ; Magnitude:  ---Select One--- "na, trivial effect, small effect, medium effect, or large effect"
r² =_____ ; Magnitude:  ---Select One--- "na, trivial effect, small effect, medium effect, or large effect"

f) Make an interpretation based on the results. Which is correct?

a) Children that were told this is a time-filling task solved significantly less problems than children that were told this is a problem-solving task.

b)Children that were told this is a time-filling task solved significantly more problems than children that were told this is a problem-solving task.    

c)There is no significant difference between the suggestions in problem solving.

Answer 1

Ans.

Obs.	Problem solving (x)	time filling (y)	di= x-y	di2
1	10	3	7	49
2	5	4	1	1
3	8	7	1	1
4	7	4	3	9
5	6	2	4	16
6	8	6	2	4
7	7	4	3	9
SUM =			21	89