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The City of Toronto comprises four districts

Statistics

The City of Toronto comprises four districts. Chief of Police Douglas Howard wants to determine whether there is a difference in the mean number of crimes committed among the four districts. He recorded the number of crimes reported in each district for a sample of seven days. At the 0.05 significance level, can the chief of police conclude there is a difference in the mean number of crimes?

Number of Crimes

North York

Etobicoke

Scarborough

Downtown

18

25

15

11

17

21

14

15

14

23

15

14

13

28

17

20

12

19

12

17

13

28

19

22

14

29

16

28

 

COPY AND PASTE THIS INCLUDING THE SIX TABLES:

Step 1: State the null and alternative hypothesis

Step 2: Select the level of significance

Step 3: Determine the test statistic

Step 4: Formulate the decision rule

Step 5: Make a decision and interpret the result (Organize data into appropriate ANOVA Tables for Analysis

 

 

Table 1

 

North York

Etobicoke

Scarborough

Downtown

 

 

 

     

 

 

 

     

 

 

 

     

 

 

 

     

 

 

 

     

 

 

 

     

 

 

 

     

 

Column total

 

       

N

 

       

MEAN

 

       

 

Grand mean= 

 

Table 2

North York

Etobicoke

Scarborough

Downtown

 

     

 

     

 

     

 

     

 

     

 

     

 

     





 

Table 3 (SS Total)

 

North York

Etobicoke

Scarborough

Downtown

 

 

 

     

 

 

 

     

 

 

 

     

 

 

       

 

 

 

     

 

 

 

     

 

 

       

 

Total
 

         

 

SS total= 

 

Table 4- (Subtract each treatment by their column from table 1)

North York

Etobicoke

Scarborough

Downtown

 

     

 

     

 

     

 

     

 

     

 

     
       


 

 

 

 

 

Table 5 (SSE)

 

North York

Etobicoke

Scarborough

Downtown

 

 

 

     

 

 

 

     

 

 

 

     

 

 

 

     

 

 

       

 

 

 

     

 

 

 

     

 

Total

 

       



 


SST= SS total- SSE

SST= 

 Table 6 - (Final Table)

Source of Variation

Sum of Squares

Degree of Freedom

Mean Square

F

Treatments


 

     

Error


 

   

 

Total

 

 

 

 


What is your decision regarding the null hypothesis?

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