Oxnard Petro, Ltd., has three interdisciplinary project development teams that function on an ongoing basis. Team members rotate from time to time.

Oxnard Petro, Ltd., has three interdisciplinary project development teams that function on an ongoing basis. Team  rotate 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?

YearMarketingEngineeringFinance2007906996 847286 8078862009727389 837787 8281932011928491 877585 878078 

 Click here for the Excel Data File

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

a.H0: A1 ≠ A2 ≠ A3 ≠ 0⇐

⇐ year means differ H1: All the Aj are equal to zero⇐

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

⇐ year means are the same H1: Not all the Aj are equal to zero⇐

⇐ year means differ

ab 

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

a.H0: B1 ≠ B2 ≠ B3 ≠ 0⇐

⇐ department means differ H1: All the Bj are equal to zero⇐

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

⇐ department means are the same H1: Not all the Bj are equal to zero⇐

⇐ department type means differ

ab 

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

a.H0: Not all the ABjk are equal to zero⇐

⇐ there is an interaction effect H1: All the ABjk are equal to zero⇐

⇐ there is no interaction effectb.H0: All the ABjk are equal to zero⇐

⇐ there is no interaction effect H1: Not all the ABjk are equal to zero⇐

⇐ there is an interaction effect

ab 

(b) Fill in the missing data. (Round your Table of Means values to 1 decimal place, SS and F values to 2 decimal places, MS values to 3 decimal places, and p-values to 4 decimal places.)

Table of MeansFactor 2 (Department)Factor 1 (Year)MarketingEngineeringFinanceTotal2007        2009        2011          

Total          

  SourceSSdfMSFp-value  Factor 1 (Year)            Factor 2 (Department)            Interaction            Error          

     Total         

(c) Using α = .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 the p-values carefully.

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

(Click to select)

weak

strong

 since about 

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9

69

79

 samples in 100 would show an F statistic this large in the 

(Click to select)

presence

absence

 of interaction.