Oxnard Petro, Ltd., has three interdisciplinary projectdevelopment teams that function on an ongoing basis. Team membersrotate from time to time. Every 4 months (three times a year) eachdepartment head rates the performance of each project team (using a0 to 100 scale, where 100 is the best rating). Are the main effectssignificant? Is there an interaction?
Year | Marketing | Engineering | Finance |
2007 | 90 | 69 | 96 |
| 84 | 72 | 86 |
| 80 | 78 | 86 |
2009 | 72 | 73 | 89 |
| 83 | 77 | 87 |
| 82 | 81 | 93 |
2011 | 92 | 84 | 91 |
| 87 | 75 | 85 |
| 87 | 80 | 78 |
|
  Click here for the Excel Data File
(a-1) Choose the correct row-effect hypotheses.
a. | H0: A1 ≠A2 ≠A3 ≠0 | â‡â‡ year means differ |
| H1: All the Aj areequal to zero | â‡â‡ year means are the same |
b. | H0: A1 =A2 = A3 = 0 | â‡â‡ year means are the same |
| H1: Not all the Aj areequal to zero | â‡â‡ year means differ |
(a-2) Choose the correct column-effecthypotheses.
a. | H0: B1 ≠B2 ≠B3 ≠0 | â‡â‡ department means differ |
| H1: All the Bj areequal to zero | â‡â‡ department type means are the same |
b. | H0: B1 =B2 = B3 = 0 | â‡â‡ department means are the same |
| H1: Not all the Bj areequal to zero | â‡â‡ department type means differ |
(a-3) Choose the correct interaction-effecthypotheses.
a. | H0: Not all the ABjkare equal to zero | â‡â‡ there is an interaction effect |
| H1: All the ABjk areequal to zero | â‡â‡ there is no interaction effect |
b. | H0: All the ABjk areequal to zero | â‡â‡ there is no interaction effect |
| H1: Not all the ABjkare equal to zero | â‡â‡ there is an interaction effect |
(b) Fill in the missing data. (Round your Table ofMeans values to 1 decimal place, SS and F valuesto 2 decimal places, MS values to 3 decimal places, andp-values to 4 decimal places.)
Table of Means |
Factor 2 (Department) |
Factor 1 (Year) | Marketing | Engineering | Finance | Average |
2007 | | | | |
2009 | | | | |
2011 | | | | |
Total | | | | |
|
 Â
Source | SS | df | MS | F | p-value |
Factor 1 (Year) | | | | | |
Factor 2 (Department) | | | | | |
Interaction | | | | | |
Error | | | | | |
Total | | | | | |
|