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I. The following ANOVA are from an experiment designed to investigate the perception of corporate ethical values among individuals specializing in marketing.
Anova: Single Factor _{ }
SUMMARY
Groups 
Count 
Sum 
Average 
Variance 
Marketing Managers 
6 
30 
5 
0.8 
Marketing Research 
6 
27 
4.5 
0.3 
Advertising 
6 
36 
6 
0.4 
ANOVA
Source of Variation 
SS 
df 
MS 
F 
Pvalue 
F crit 
Between Groups 
7 
2 
3.5 
7 
0.0071236 
3.68232034 
Within Groups 
7.5 
15 
0.5 


Total 
14.5 
17 

a)
SS  df  MS  F  pvalue  Fcritical  
Between:  7.00  2  3.50  7.00  0.0071  3.68 
Within:  7.50  15  0.50  
Total:  14.50  17  
α =  0.05  
conclusion :  pvalue<α , reject null hypothesis 
Ho: µ1=µ2=µ3
H1: not all means are equal
Hence not all means are equal
b)
Level of significance 0.05
no. of treatments,k 3
DF error =Nk= 15
MSE 0.500
qstatistic value(α,k,Nk) 3.6730
population mean difference  critical value  lower limit  upper limit  result  
µ1µ2  0.50  1.06  0.56  1.56  means are not different 
µ1µ3  1.00  1.06  2.06  0.06  means are not different 
µ2µ3  1.50  1.06  2.56  0.44  means are different 
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