PSY 315 Version 6 Week 4 Practice Worksheet*****Already A++ Rated Tutorial*****Use as Guide Paper*****

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Hypothesis Test: Independent Groups (t-test, unequal variance)

        
 

Prada

Oracle

     
 

12.170

14.875

mean

    
 

1.056

2.208

std. dev.

    
 

10

12

n

    
        
  

16

df

    
  

-2.7050

difference (Prada - Oracle)

  
  

0.7196

standard error of difference

  
  

0

hypothesized difference

  
        
  

-3.76

 t

    
  

.0017

 p-value (two-tailed)

   
        
  

-4.2304

confidence interval 95.% lower

  
  

-1.1796

confidence interval 95.% upper

  
  

1.5254

margin of error

   
        

 

 

 

https://www.homeworkmarket.com/content/statistics-psy-worksheets-paper-and-questionsHypothesis Test: Independent Groups (t-test, unequal variance)

       
 

Peach Street

Plum Street

    
 

15.8680

18.2921

mean

   
 

2.3306

2.5527

std. dev.

   
 

10

14

n

   
       
  

20

df

   
  

-2.42414

difference (Peach Street - Plum Street)

  

1.00431

standard error of difference

 
  

0

hypothesized difference

 
       
  

-2.41

 t

   
  

.0255

 p-value (two-tailed)

  
       
  

-5.28173

confidence interval 99.% lower

 
  

0.43345

confidence interval 99.% upper

 
  

2.85759

  margin of error

  
       

 

3.      Fry Brothers heating and Air Conditioning, Inc. employs Larry Clark and George Murnen to make service calls to repair furnaces and air conditioning units in homes. Tom Fry, the owner, would like to know whether there is a difference in the mean number of service calls they make per day. Assume the population standard deviation for Larry Clark is 1.05 calls per day and 1.23 calls per day for George Murnen. A random sample of 40 days last year showed that Larry Clark made an average of 4.77 calls per day. For a sample of 50 days George Murnen made an average of 5.02 calls per day. At the .05 significance level, is there a difference in the mean number of calls per day between the two employees? What is the p-value?

 

Hypothesis Test: Independent Groups (t-test, pooled variance)

        
 

Larry

George

     
 

4.77

5.02

mean

    
 

1.05

1.23

std. dev.

    
 

40

50

n

    
        
  

88 

df

    
  

-0.25000

difference (Larry - George)

  
  

1.33102

pooled variance

   
  

1.15370

pooled std. dev.

   
  

0.24474

standard error of difference

  
  

0

hypothesized difference

  
        
  

-1.02

 t

    
  

.3098

 p-value (two-tailed)

   
        
  

-0.73636

confidence interval 95.% lower

  
  

0.23636

confidence interval 95.% upper

  
  

0.48636

  margin of error

   

 

Chapters 11 & 12

 

4.      A consumer organization wants to know if there is a difference in the price of a particular toy at three different types of stores. The price of the toy was checked in a sample of five discount toy stores, five variety stores, and five department stores. The results are shown below.

Discount toy

Variety

Department

$12

15

19

13

17

17

14

14

16

12

18

20

15

17

19

 

 

One factor ANOVA

    
       

 

Mean

n

Std. Dev

 

  
 

13.2

5

1.30

Discount Toys

  
 

16.2

5

1.64

Variety

  
 

18.2

5

1.64

Department

  

 

15.9

15

2.56

Total

  
 

 

     

ANOVA table

 

     

Source

SS

   df

MS

F

   p-value

 

Treatment

63.33

2

31.667

13.38

.0009

 

Error

28.40

12

2.367

   

Total

91.73

14

 

 

 

 

 

 

 

 

 

 

 

 

 

5.      A physician who specializes in weight control has three different diets she recommends. As an experiment, she randomly selected 15 patients and then assigned 5 to each diet. After three weeks the following weight losses, in pounds, were noted. At the .05 significance level, can she conclude that there is a difference in the mean amount of weight loss among the three diets?

Plan A

Plan B

Plan C

5

6

7

7

7

8

4

7

9

5

5

8

4

6

9

 

An ANOVA was run and the results are shown below.  At the .01 significance level, is there a difference in the weight loss between the three plans? What is the p-value?  What can you do to determine exactly where the difference is?

 

One factor ANOVA

    
       

 

Mean

n

Std. Dev

 

  
 

5.0

5

1.22

Plan A

  
 

6.2

5

0.84

Plan B

  
 

8.2

5

0.84

Plan C

  

 

6.5

15

1.64

Total

  
 

 

     

ANOVA table

 

     

Source

SS

   df

MS

F

   p-value

 

Treatment

26.13

2

13.067

13.52

.0008

 

Error

11.60

12

0.967

   

Total

37.73

14

 

 

 

 

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