Question

A developmental psychologist working in the area of suggestion asked a sample of children to solve as many problems as they could in 20 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 problem-solving task will improve problem solving. What can be concluded with an α of 0.01? Below is the data for the number of problems solved.

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

a) What is the appropriate test statistic?
---Select one--- (na, z-test, One-Sample t-test, Independent-Samples t-test, Related-Samples t-test)
b)
Condition 1:
---Select one--- (the children, suggestion, problem-solving, problems solved, time-filling)
Condition 2:
---Select one--- (the children, suggestion, problem-solving, problems solved, time-filling)
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 to 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 =  ;  ---Select one--- (na, trivial effect, small effect, medium effect, large effect)
r² =  ;  ---Select one--- (na, trivial effect, small effect, medium effect, large effect)
f) Make an interpretation based on the results.

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

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

c. The suggestions had no significant impact on problem solving.

Answer 1

a) Related sample t test

Reason : Since the children are grouped into two categories.. Half of children belongs to problem solving and remaining are time filling .. So the sample is a paired one.

b) condition 1 problem solving and condition 2 time filling

c)