A linguist is interested in knowing how best to learn a foreignlanguage. The linguist develops a new way to learn a foreignlanguage called Aural-Oral and wants to compare it to thetraditional translation method. In a research study, students froma sample are randomly assigned to one of the methods: Aural-Oral,translation, and combination of both. In addition, the linguistwants to know if IQ is related to learning a foreign language, sothe students are split into having a high or average IQ. After ayear of studying a foreign language, the students are asked to takea vocabulary test on the foreign language. What can the linguistconclude with ? = 0.05?

                              IQ

Method	High	Average
Aural-Oral	31 24 20 25	32 19 37 28
Translation	28 25 31 20	20 23 14 15
Combined	17 28 21 18	26 27 32 27

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

IQ: critical value =  ; test statistic=  
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).
Mehotd: ?²=  ;  ---Select--- na trivial effect smalleffect medium effect large effect
IQ: ?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 an IQ difference on vocabulary.There is no IQdifference on vocabulary.    

There is a method difference on vocabulary.There is no methoddifference on vocabulary.    

There is a method by IQ interaction on vocabulary.There is nomethod by IQ interaction on vocabulary.