A small sample of respondents has been selected from General Social Survey database.Each respondent...

Question

A small sample of respondents has been selected from General Social Survey database.Each respondent has been classified as either an urban dweller, Suburban or Rural. Are there statistically significant differences by place of residence for variable Hours per week. Urban    Suburban    Rural XXXXXXXXXX XXXXXXXXXX XXXXXXXXXX XXXXXXXXXX XXXXXXXXXX XXXXXXXXXX XXXXXXXXXX XXXXXXXXXX XXXXXXXXXX XXXXXXXXXX XXXXXXXXXX XXXXXXXXXX XXXXXXXXXX XXXXXXXXXX XXXXXXXXXX XXXXXXXXXX XXXXXXXXXX XXXXXXXXXX XXXXXXXXXX XXXXXXXXXX

Robert · Accepted Answer

Follow the steps to conduct an ANOVA test to find whether hours per week on internet has 
significant relationship with place of residence. 
 To compute the obtained F ratio, use the following formulas to find SST, SSB and 
SSW. 
 Then calculate the degrees of freedom, mean square estimates of population variance 
and the obtained F ratio. 
 Tabulate the operations. 
 
Urban  Suburban  Rural  
iX  
2
iX  iX  
2
iX  iX  
2
iX  
5 25 5 25 5 25 
5 25 6 36 6 36 
7 49 10 100 7 49 
8 64 11 121 10 100 
8 64 12 144 10 100 
10 100 14 196 11 121 
10 100 15 225 12 144 
11 121 16 256 12 144 
12 144 18 324 12 144 
13 169 20 400 13 169 
Total=89 Total=861 Total=127 Total=1827 Total=98 Total=1032 
8.9kX    12.7kX    9.8kX    
  10.47X 
Where, ,kX X  are the average of each categories and average of three categories 
respectively.

A small sample of respondents has been selected from General Social Survey database.Each respondent has been classified as either an urban dweller, Suburban or Rural. Are there statistically...

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