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[answered] Be sure to answer all of the questions to the best of your
Be sure to answer all of the questions to the best of your abilities and with as much detail as you can provide.? Take your time; you have the full time period to answer all the questions.
Read each of the research scenarios and answer the questions.
1.? A group of student researchers believe that there is a relationship between attitudes toward social issues (110) and amount of political activity (015). The group surveyed students (N) at the union every day for an entire semester about their attitudes toward social issues (M.14, SD.07) and recorded the number of political events attended on campus (M.69, SD.51). (Total 28 pts)
A.? What are the independent and dependent variables and how are each scaled (1 pt each; Total 4 pts)?
??????????? Independent:______ amount of political activity ________ Scaling:___ (015) ________
??????????? Dependent:____ attitudes toward social issues _____?????????? Scaling:____ (110)________
B.? What test should the students use (4 pts)?__Correlation?????? Regression_____________________
C.? Why that test (2 pts)?
We use this test because the student researchers believe there is a relationship between two variables.
D.? What are the null and alternative hypotheses for that test (4 pts)?
E. What are that tests assumptions (2 pts)??
F.? What are the df(2 pts)?________________________
G.? What is the critical value for p=.05 (2 pts)? _________________________
H.? If the students calculate a test statistic of .31, should they (2 pts)?????? ?? ?Retain H_{0}?????????????????? Reject H_{0}
I.? Interpret the findings (6 pts):
2.? Researchers know that the average rate of violence within intimate relationships is 20 men or women per minute in the US (SD.47), according to the National Coalition against Domestic Violence (NCADV). The local chapter of the NCADV is concerned about area rates of domestic violence because the local average is 23.20 (N).? They would like to determine if the local rate is the same as the national rate. ?(Total 29 pts)
A.? What are the independent and dependent variables and how are each scaled (1 pt each; Total 4 pts)?
??????????? Independent:___ average rate of violence within intimate relationships _??????????? Scaling:_____________________________
??????????? Dependent:___ area rates of domestic violence _______________________??????????? Scaling:_____________________________
B.? What test should be used (4 pts)?_ The researchers would like to determine if the local rate is the same as the national rate.? _________________________________________________
C.? Why that test (2 pts)?
D.? What are the null and alternative hypotheses for that test (4 pts)?
E. What are that tests assumptions (3 pts)??
F.? What are the df(2 pts)?________________________
G.? What is the critical value for p=.05 (2 pts)? __1.9690=(0.05, 264)_______________________
H.? If the researchers calculate a test statistic of 1.78, should they (2 pts)????? Retain H_{0}???????????????? Reject H_{0}
????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????
I.? Interpret the findings (6 pts):
The local and national average rates of violence within intimate relationships are the same.
3.? Dr. Anders believes that the size of coffee selected at Starbucks (, , and ) and whether the drink is caffeinated ( Caffeine, Caffeine, and Caffeine) impacts people?s mood in her classes(scores range from 1 negative mood7 positive mood).? She collects data from the 360 students in her classes. (Total 50 pts)
A.? What are the independent and dependent variables and how are each scaled (1 pt each; Total 6 pts)?
??????????? Independent:___ the size of coffee selected at Starbucks _____________________????????? ???????????? ??????????? Scaling:___ (, , and ) __________________________
??????????? Independent:_ whether the drink is caffeinated _______________________
??????????? Scaling:__ ( Caffeine, Caffeine, and Caffeine)???? ____
??????????? Dependent:_ mood in her classes _______???
??????????? Scaling:__ (scores range from 1 negative mood7 positive mood)_______________
B.? What test should Dr. Anders use (4 pts)?__________________________________________________
C.? Why that test (2 pts)?
D.? What are the null and alternative hypotheses for that test (12 pts)?
E. What are that tests assumptions (3 pts)??
Dr. Anders calculates the appropriate test and rejects H_{0} for the effect of coffee size (test value of 3.69, df= 2 and 352) and the effect of caffeine (test value of 5.72, df= 2 and 352) but retains H_{0} for the combination of the two (test value of 1.75, df= 5 and 352).
Below are the means (standard deviation) *indicates a difference:
 No Caffeine  Regular Caffeine  Extra Caffeine  Total 
Tall  3.14 (.87)  4.52 (.99)  5.94 (1.01)  4.53 (.96) 
Grande  2.87 (.74)  4.29 (.51)  5.21 (.94)  4.12 (.73)* 
Venti  3.58 (1.11)  4.71(1.20)  5.62 (.95)  4.64 (1.09)* 
 3.20 (.91)*  4.51 (.90)  5.59 (.97)* 

F.? Draw at least one graph to represent the data (5 pts)
G.? Interpret the findings (18 pts):
4.? Bibliotherapy is a common tool to use with children who have a hard time bonding with a therapist and opening up during therapy sessions.? Dr. Contos wants to examine if children who participate in bibliotherapy (M.48, SD.67) score lower on levels of anxiety(025) than children who participate in play therapy (M.11, SD.58).? She interviews 25 children in each group for a total of 50 children.? (Total 29 pts)
A.? What are the independent and dependent variables and how are each scaled (1 pt each; Total 4 pts)?
??????????? Independent:____ children who participate in bibliotherapy vs _ children who participate in play therapy ??????????? __________________???????????
??????????? Scaling:____ (025)_________________________
??????????? Dependent:______ levels of anxiety ____________
??????????? Scaling:____ (025)_____________________________
B.? What test should Dr. Contos use (4 pts)?__________________________________________________
C.? Why that test (2 pts)?
D.? What are the null and alternative hypotheses for that test (4 pts)?
E. What are that tests assumptions (3 pts)??
F.? What are the df(2 pts)?________________________
G.? What is the critical value for p=.05 (2 pts)? _________________________
H.? If Audi calculates a test statistic of 4.76, should they (2 pts)?????? ????????? ?Retain H_{0}?????????????????? Reject H_{0}
I.? Interpret the findings (6 pts):
5.? The average amount spent on a new car in 2015 was $33,560 with a standard deviation of $11,194. You just bought a new car for $18,422 and want to know if you got a good deal compared to the national average. (Total 25 pts)
A.? What are the independent and dependent variables and how are each scaled (1 pt each; Total 4 pts)?
??????????? Independent:__ location car purchased _______?????? Scaling:_____________________________
??????????? Dependent:__ amount spent on a new car ______???? Scaling:_____________________________
B.? What test should you use (4 pts)?_____f test_______________________________________
C.? Why that test (2 pts)?
This is a situation in which we have to compare 2 models, so we have to use F test.
D.? What are the null and alternative hypotheses for that test (4 pts)?
H_{0}= ?=$33,560
H_{1}= ?>$33,560
E. What are that tests assumptions (2 pts)??
1)The population from which the samples are collected must be normal and all must have same standard deviations.
2)The samples must be independent.
F.? What is the critical value for p=.05 (2 pts)? __1.96________________
G.? If you calculate a test statistic of 1.97, should she (2 pts)?????? ??? ?Retain H_{0}?????????????????? Reject H_{0}
H.? Interpret the findings (5 pts): The deal I got on my car was a good one! The price I paid was less than the national average. Since the critical value < test statistic we reject null hypothesis.
6.? Dr. Barrett has run a test to predict verbal abilities (08) from number of siblings (06).? He thinks that the more people you have to talk to when you are young (number of siblings) the more verbal you will be.? He has already run the test in SPSS and below is the output. (Total 21 pts)
 Mean  SD  N  
VerbalAbility  4.25  1.963  60  
Siblings  3.45  1.817  60  
 
Model  Sum of Squares  df  Mean Square  F  Sig.  
1  Regression  181.874  1  181.874  232.470  .000^{a}  
Residual  45.376  58  .782 

 
Total  227.250  59 


 
 
Model  Unstandardized Coefficients  Standardized Coefficients  t  Sig.  
B  Std. Error  Beta 

 
1  (Constant)  .917  .247 
 3.717  .000  
Siblings  .966  .063  .895  15.247  .000  

A.? What are the independent and dependent variables and how are each scaled (1 pt each; Total 4 pts)?
??????????? Independent:__siblings______________________?? Scaling:___ (06) ____________________
??????????? Dependent:____verbal ability_____________?????????? Scaling:_____ (08)____________________
B.? What test should Dr. Barrett use (4 pts)?_____?? test_____________________________________________
C.? Why that test (2 pts)?
?He can use this test to find association between the two variables verbal ability and number of siblings.
D.? For the Independent Variable (2 pts):??? ? Mean__3.45____??????? Standard Deviation__1.817__________
E.? For the Dependent Variable (2 pts):??? ????? Mean__4.25____??????? Standard Deviation__1.963__________
F.? Should Dr. Barrett (2 pts)?????? ????? ?Retain H_{0}?????????????????? Reject H_{0}
H.? Interpret the findings (5 pts):
From the data we can determine the linear regression equation is, verbal ability .917 + 0.966(siblings). THis tells us that for every increase in one unit of siblings, there will also be an increase in the verbal ability by 0.966 units.
7.? Dr. Henry believes that if he gives couples a measure of relationship satisfaction (08)before he provide them couples therapy and then the same measure of relationship satisfaction (08)after therapy his patients will be less likely to divorce.? He give his 41clients the satisfaction measure then therapy for one month and gives the same 41clients the satisfaction measure after therapy. (Total 18 pts)
A.? What are the independent and dependent variables and how are each scaled (1 pt each; Total 4 pts)?
??????????? Independent:________________________?? Scaling:_____________________________
??????????? Dependent:__________________________ Scaling:_____________________________
B.? What test should Dr. Henry use (2 pts)?__________________________________________________
C.? Why that test (1 pts)?
D.? What are the null and alternative hypotheses for that test (2 pts)?
E.? What is the critical value for p=.05 (1 pts)? _________________________
G.? If Dr. Henry calculates a test statistic of 2.11, should he (2 pts)?????? ????? ?Retain H_{0}?????????????????? Reject H_{0}
H.? Interpret the findings (6 pts):
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