Oxnard Petro, Ltd., has three interdisciplinary project development teams that function on an ongoing basis. Teammembersrotate from time to time. Every 4 months (three times a year) each department head rates the performance of each project team (using a 0 to 100 scale, where 100 is the best rating). Are the main effects significant? Is there an interaction?

YearMarketingEngineeringFinance200790699684728680788620097273898377878281932011928491877585878078

Click here for the Excel Data File

(a-1)Choose the correct row-effect hypotheses.

a.H₀:A₁A₂A₃ 0

year means differH₁: All theA_jare equal to zero

year means are the sameb.H₀:A₁=A₂=A₃= 0

year means are the sameH₁: Not all theA_jare equal to zero

year means differ

ab

(a-2)Choose the correct column-effect hypotheses.

a.H₀:B₁B₂B₃ 0

department means differH₁: All theB_jare equal to zero

department type means are the sameb.H₀:B₁=B₂=B₃= 0

department means are the sameH₁: Not all theB_jare equal to zero

department type means differ

ab

(a-3)Choose the correct interaction-effect hypotheses.

a.H₀: Not all theAB_jkare equal to zero

there is an interaction effectH₁: All theAB_jkare equal to zero

there is no interaction effectb.H₀: All theAB_jkare equal to zero

there is no interaction effectH₁: Not all theAB_jkare equal to zero

there is an interaction effect

ab

(b)Fill in the missing data.(Round your Table of Means valuesto 1 decimal place,SSandFvalues to 2 decimal places,MSvalues to 3 decimal places, andp-values to 4 decimal places.)

Table of MeansFactor 2 (Department)Factor 1 (Year)MarketingEngineeringFinanceTotal200720092011

Total

SourceSSdfMSFp-valueFactor 1 (Year)Factor 2 (Department)InteractionError

Total

(c)Using= .05, choose the correct statement.

The main effects of department and year are significant, but there is not a significant interaction effect.The main effect of department is significant; however, there is no significant effect from year or interaction between department and year.The main effect of year is significant; however, there is no significant effect from department or interaction between department and year.

(d)Interpret thep-values carefully.

Thep-values range from highly significant (Department) to insignificant (Year). The interaction effect, if any, is

(Click to select)

weak

strong

since about

(Click to select)

9

69

79

samples in 100 would show anFstatistic this large in the

(Click to select)

presence

absence

of interaction.