A researcher is studying the effects of inserting questions intoinstructional material for learning. There is doubt whether thesequestions would be more effective before or after the correspondingpassage. In addition, the researcher wants to know the impact offactual and thought provoking questions. Students are randomlyassigned to one of each of the four combination: position ofquestion (before vs. after the passage) and type of question(factual vs. thought provoking). After 20 hours of studying underthese conditions, the students are given a test on the content ofthe instructional materials. The test scores are below. What can beconcluded with ? = 0.05? Please use 4 numbers afterdecimal

                     Position

Type	before	after
factual	21 31 32 25 28 19	29 24 33 20 25 30
thought	27 20 15 21 26 24	36 39 41 29 31 35

a) What is the appropriate test statistic?
---Select--- na one-way ANOVA within-subjects ANOVA two-wayANOVA

b) Compute the appropriate test statistic(s) tomake a decision about H₀.
Type: critical value =  ; test statistic=  
Decision:  ---Select--- Reject H0 Fail to reject H0

Position: critical value =  ; teststatistic =  
Decision:  ---Select--- Reject H0 Fail to reject H0

Interaction: critical value =  ; teststatistic =  
Decision:  ---Select--- Reject H0 Fail to reject H0


c) Compute the corresponding effect size(s) andindicate magnitude(s).
Type: ?²=  ;  ---Select--- na trivial effect smalleffect medium effect large effect
Position: ?²=  ;  ---Select--- na trivial effect smalleffect medium effect large effect
Interaction: ?²=  ;  ---Select--- na trivial effect smalleffect medium effect large effect


d) Make an interpretation based on theresults.

There is a question type difference in the test scores.There isno question type difference in the testscores.    

There is a question position difference in the test scores.Thereis no question position difference in the testscores.    

There is a question type by position interaction in the testscores.There is no question type by position interaction in thetest scores.