Question

In: Math

A linguist is interested in knowing how best to learn a foreign language. The linguist develops...

A linguist is interested in knowing how best to learn a foreign language. The linguist develops a new way to learn a foreign language called Aural-Oral and wants to compare it to the traditional translation method. In a research study, students from a sample are randomly assigned to one of the methods: Aural-Oral, translation, and combination of both. In addition, the linguist wants to know if IQ is related to learning a foreign language, so the students are split into having a high or average IQ. After a year of studying a foreign language, the students are asked to take a vocabulary test on the foreign language. What can the linguist conclude with α = 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-Way ANOVA

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

IQ: critical value =  ; test statistic =  
Decision:  ---Select--- Reject H0 Fail to reject H0

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


c) Compute the corresponding effect size(s) and indicate magnitude(s).
Mehotd: η2 =  ;  ---Select--- na trivial effect small effect medium effect large effect
IQ: η2 =  ;  ---Select--- na trivial effect small effect medium effect large effect
Interaction: η2 =  ;  ---Select--- na trivial effect small effect medium effect large effect


d) Make an interpretation based on the results.

There is an IQ difference on vocabulary.There is no IQ difference on vocabulary.    

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

There is a method by IQ interaction on vocabulary.There is no method by IQ interaction on vocabulary.    

Solutions

Expert Solution

a) What is the appropriate test statistic?
Two-Way ANOVA

b) Compute the appropriate test statistic(s) to make a decision about H0.
Method: critical value = 3.555 ; test statistic = 1.991
Decision: Fail to reject H0

IQ: critical value = 4.414 ; test statistic = 0.239
Decision: Fail to reject H0

Interaction: critical value = 3.555 ; test statistic = 5.018
Decision: Reject H0


c) Compute the corresponding effect size(s) and indicate magnitude(s).
Mehotd: η2 = 0.181 ; small effect
IQ: η2 = 0.013 ; small effect
Interaction: η2 = 0.358 ; large effect


d) Make an interpretation based on the results.
There is no IQ difference on vocabulary.
There is no method difference on vocabulary.
There is a method by IQ interaction on vocabulary.


Related Solutions

A linguist is interested in knowing how best to learn a foreign language. The linguist develops...
A linguist is interested in knowing how best to learn a foreign language. The linguist develops a new way to learn a foreign language called Aural-Oral and wants to compare it to the traditional translation method. In a research study, students from a sample are randomly assigned to one of the methods: Aural-Oral, translation, and combination of both. In addition, the linguist wants to know if IQ is related to learning a foreign language, so the students are split into...
If you learn a foreign language, you can improve your compensation at work. Given you are...
If you learn a foreign language, you can improve your compensation at work. Given you are not good at learning languages, you estimate today you would need to spend $5,000 to learn a language. You then believe you can earn $3,000 more per year for the next 3 years starting a year from today before you move onto a new job. However, you will also pay back $2,000 to the company exactly 3 years from today since some of your...
You are interested in developing a software program targeted at learning a new foreign language. You...
You are interested in developing a software program targeted at learning a new foreign language. You believe that your new program will allow for faster language learning in adults. Typically, it takes people an average of 5 years (σ = 0.76) to learn a second language. In your sample of 30 adults, this same level of proficiency is achieved in 2.8 years (S = 0.78). (Assume the standard α = 0.05.) Population 1 (1): Population 2 (1): Create a graphical...
How do infants learn language explain one of the theories in chapter 5 on language development...
How do infants learn language explain one of the theories in chapter 5 on language development in detail how children best learn their nature language
Policymakers might be interested in knowing how a change in the legal constraints facing consumers and...
Policymakers might be interested in knowing how a change in the legal constraints facing consumers and firms would affect individual welfares. Suppose initially a consumer is consuming market basket A. If a certain policy is adopted, this consumer will end up consuming market basket B. Knowing what these two market baskets are, and nothing else, can you say if the consumer is better or worse off from the change in their consumption? 1. yes 2. no
The instructor of an English course is interested in knowing if there is a difference in...
The instructor of an English course is interested in knowing if there is a difference in the mean grades between the Peterborough and Oshawa classes. Summary data for these classes are as follows: Ptbo Class Osh Class Mean 73.00 67.00 N   101 61 SD 10.50. 11.00 Is there a significant difference in the average grades of these two classes? Compute the power of the findings, explaining what it means (7 grades) What is the effect size? Interpret the effect size
The instructor develops a learning activity to challenge a group of students to learn at the...
The instructor develops a learning activity to challenge a group of students to learn at the highest level of cognitive learning. Which of the following is the best example? Listing the top ten Healthy people 2020 objectives Appreciating health promotion theories for nursing practice Explaining the three domains of learning in detail Comparing and contrasting health promotion models 2. The student nurse is explaining key characteristics of adult learning. Which of the following statements indicate no further teaching is necessary?...
8. SAC Community Clinic is interested in knowing how far their patients commute (from their homes)....
8. SAC Community Clinic is interested in knowing how far their patients commute (from their homes). To date, 20,000 unique patients have received care at the facility; the clinic operates Monday through Friday and sees about 20 patients per day. You have been commissioned to conduct a survey of their patients to gather home addresses, mode of transportation, and round trip commute time. Your goal is to gather data on 10% of the patients who enter the clinic for a...
A) A researcher is interested in knowing the level of job satisfaction among employees in a...
A) A researcher is interested in knowing the level of job satisfaction among employees in a large company. He measures job satisfaction on a 5-point scale where 1=” Extremely dissatisfied” and 5 = “Extremely satisfied”. What is the matching description of the variable of interest in this study? Group of answer choices a. Quantitative / Discrete b. Quantitative / Continuous c. Categorical / Ordinal d. Categorical / Nominal B) What is the most suitable measure of centre for a skewed...
You are interested in knowing the proportion of people that are observing the CDC guidelines for...
You are interested in knowing the proportion of people that are observing the CDC guidelines for social distancing during the COVID-19 pandemic. You survey 100 randomly selected people and find that 80 have followed the guidelines. Construct a 95% confidence interval around the unknown true proportion of people following the guidelines. CALCULATE THE UPPER LIMIT in this question. Use 4 digits of precision Use the R code below to help you. > qnorm(0.90) [1] 1.282 > qnorm(0.95) [1] 1.645 >...
ADVERTISEMENT
ADVERTISEMENT
ADVERTISEMENT