Question

National Bearing manufactures bearings at plants located in Portland Oregon, Houston Texas and Jacksonville Florida. To measure employee knowledge of Total Quality Management (TQM), six employees were randomly selected at each plant and tested. The test scores for these employees are given in DATA. Managers want to know if, on average, knowledge of TQM is equal across the 3 plants. Test equality of mean scores at ∝ =0.05.

Observation Portland Houston Jacksonville

1 85 71 61

2 75 75 66

3 82 73 64

4 76 74 71

5 71 69 77

6 85 82 69

A. The F value of 3.419 is < the F critical value of 3.682, therefore do not reject equality of means. Knowledge of TQM is equal across the 3 plants.

B. The F value of 1.326 is < the F critical value of 3.682, therefore do not reject equality of means. Knowledge of TQM is equal across the 3 plants.

C. The F value of 9 is > the F critical value of 3.682, therefore do reject equality of means. Knowledge of TQM is not equal across the 3 plants.

D. The F value of 6.349 is > the F critical value of 3.682, therefore do reject equality of means. Knowledge of TQM is not equal across the 3 plants.

Answer 1