Question

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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	P-value	F crit
Between Groups	7	2	3.5	7	0.0071236	3.68232034
Within Groups	7.5	15	0.5
Total	14.5	17

1. Use α =0.05 to test for significant differences in perception among the three groups.

      

2. At the α= 0.05 level of significance, determine where the differences occur.

      

Answer 1

a)

	SS	df	MS	F	p-value	F-critical
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 :	p-value<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 =N-k=   15
MSE   0.500
q-statistic value(α,k,N-k)   3.6730

population mean difference	critical value	lower limit	upper limit	result
µ1-µ2	0.50	1.06	-0.56	1.56	means are not different
µ1-µ3	-1.00	1.06	-2.06	0.06	means are not different
µ2-µ3	-1.50	1.06	-2.56	-0.44	means are different

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