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.

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

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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