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The City of Toronto comprises four districts
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?
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Number of Crimes |
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North York |
Etobicoke |
Scarborough |
Downtown |
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18 |
25 |
15 |
11 |
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17 |
21 |
14 |
15 |
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14 |
23 |
15 |
14 |
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13 |
28 |
17 |
20 |
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12 |
19 |
12 |
17 |
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13 |
28 |
19 |
22 |
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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
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North York |
Etobicoke |
Scarborough |
Downtown |
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Column total |
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N |
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MEAN |
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Grand mean=
Table 2
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North York |
Etobicoke |
Scarborough |
Downtown |
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Table 3 (SS Total)
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North York |
Etobicoke |
Scarborough |
Downtown |
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Total |
SS total=
Table 4- (Subtract each treatment by their column from table 1)
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North York |
Etobicoke |
Scarborough |
Downtown |
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Table 5 (SSE)
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North York |
Etobicoke |
Scarborough |
Downtown |
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Total |
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SST= SS total- SSE
SST=
Table 6 - (Final Table)
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Source of Variation |
Sum of Squares |
Degree of Freedom |
Mean Square |
F |
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Treatments |
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Error |
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Total |
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What is your decision regarding the null hypothesis?
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